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Arbitrariness is the quality of being "determined by chance, whim, or impulse, and not by necessity, reason, or principle". It is also used to refer to...

In mathematics, the phrases arbitrarily large, arbitrarily small and arbitrarily long are used in statements to make clear the fact that an object is large...

In computer science, arbitrary-precision arithmetic, also called bignum arithmetic, multiple-precision arithmetic, or sometimes infinite-precision arithmetic...

Arbitrary inference is a classic tenet of cognitive therapy created by Aaron T. Beck in 1979. He defines the act of making an arbitrary inference as the...

wore US uniforms to infiltrate US lines during the Battle of the Bulge. Arbitrary arrest and detention Encounter killings by police Extrajudicial punishment...

In computer security, arbitrary code execution (ACE) is an attacker's ability to run any commands or code of the attacker's choice on a target machine...

Arbitrary arrest and detention is the arrest or detention of an individual in a case in which there is no likelihood or evidence that they committed a...

In science and technology, an arbitrary unit (abbreviated arb. unit, see below) or procedure defined unit (p.d.u.) is a relative unit of measurement to...

Arbitrary Lines: How Zoning Broke the American City and How to Fix It is a book by M. Nolan Gray, first published in 2022 by Island Press. The book explains...

as the Dirichlet L-functions) to approximate arbitrary non-vanishing holomorphic functions arbitrarily well. The universality of the Riemann zeta function...

enable or support arbitrary-precision arithmetic. Software that supports arbitrary precision computations: bc the POSIX arbitrary-precision arithmetic...

Autocracy is a form of government in which absolute power is held by one person, known as an autocrat. It includes both absolute monarchies and dictatorships...

Group on Arbitrary Detention (WGAD) is a body of independent human rights experts that investigate cases of arbitrary arrest and detention. Arbitrary arrest...

(/ˈbuːbə ˈkiːkiː/ BOO-bə KEE-kee), or takete–maluma phenomenon, is a non-arbitrary mental association between certain speech sounds and certain visual shapes...

Games Festival Awards. Paratopic was developed with a very low budget by Arbitrary Metric, a team of three - Doc Burford, Jessica Harvey, and Lazzie Brown...

SMILES arbitrary target specification (SMARTS) is a language for specifying substructural patterns in molecules. The SMARTS line notation is expressive...

An arbitrary waveform generator (AWG) is a piece of electronic test equipment used to generate electrical waveforms. These waveforms can be either repetitive...

attribute–value pairs. Some data serialization formats such as JSON support arbitrarily deep nesting. Other data representations are restricted to one level...

F ( x ) + C , {\displaystyle F(x)+C,} where C {\displaystyle C} is an arbitrary constant (meaning that any value of C {\displaystyle C} would make F (...

trisection is the construction of an angle equal to one third of a given arbitrary angle, using only two tools: an unmarked straightedge and a compass. It...

decision by the UN Working Group on Arbitrary Detention determining that the deprivation of his liberty was arbitrary. Benabderrahmane served as a general...

"ELF" that had no official meaning, although the name "Debugging With Arbitrary Record Formats" has since been proposed as a backronym. DWARF originated...

A hash function is any function that can be used to map data of arbitrary size to fixed-size values, though there are some hash functions that support...

ongoing international investment arbitration case concerning the alleged arbitrary arrest, detention, torture, seizure of assets, and death sentence imposed...

i {\textstyle \bigcup _{i=1}^{n}S_{i}} . Various common notations for arbitrary unions include ⋃ M {\textstyle \bigcup \mathbf {M} } , ⋃ A ∈ M A {\textstyle...

This is an arbitrary list of select school massacres by death toll. The # symbol indicates the massacre's ranking by number of deaths (since this list...

networks with an arbitrary number of artificial neurons ("arbitrary width" case) and the second focuses on the case with an arbitrary number of hidden...

B=\left(A^{c}\cup B^{c}\right)^{c}} The most general notion is the intersection of an arbitrary nonempty collection of sets. If M {\displaystyle M} is a nonempty set...

"Episode 16", also known as "Arbitrary Law", is the ninth episode of the second season of the American surrealist mystery horror drama television series...

units and antennas, are intended to aid in strengthening weak signals. Arbitrary Strength Unit (ASU) is an integer value indicating the received signal...

nature of the question being appealed and the body that made the decision. Arbitrary and capricious is a legal ruling wherein an appellate court determines...

with no distinctive character at the other end, and "suggestive" and "arbitrary" marks lying between these two points. "Descriptive" marks must acquire...

Percent-encoding, also known as URL encoding, is a method to encode arbitrary data in a uniform resource identifier (URI) using only the US-ASCII characters...

About Love (Swedish: Egenmäktigt förfarande – en roman om kärlek, lit. 'Arbitrary Conduct – A Novel About Love') is the sixth novel by Swedish author Lena...

platometer, is a measuring instrument used to determine the area of an arbitrary two-dimensional shape. There are several kinds of planimeters, but all...

Arbitrary slice ordering (ASO) in digital video, is an algorithm for loss prevention. It is used for restructuring the ordering of the representation...

meilograph, or map measurer, is an instrument for measuring the lengths of arbitrary curved lines. A simple opisometer consists of a toothed wheel of known...

Arbitrarily amplified DNA (AAD) refers to a family of DNA profiling methods that amplify template nucleic acids with arbitrary oligonucleotide primers...

In mathematics, to approximate a derivative to an arbitrary order of accuracy, it is possible to use the finite difference. A finite difference can be...

bc is an arbitrary-precision mathematical calculator program with an input language similar to C. It supports both interactive, command-line user-interface...

condemned by various international groups. Most of these detentions and arbitrary arrests are reported as part of government crackdowns. Those still imprisoned...

is a C++ library for doing number theory. NTL supports arbitrary length integer and arbitrary precision floating point arithmetic, finite fields, vectors...

measure zero and in 1928 that there are Kakeya needle sets in the plane of arbitrarily small positive measure. There are no Kakeya needle sets of measure 0...

block cipher is used in a mode of operation that allows it to encrypt arbitrarily long messages, and with an initialization vector as discussed above....

transparency is gained by the following characteristics of fragmented objects. Arbitrary protocols may be chosen for the internal communication between the fragments...

into a practically infinite encoded form, i.e., they can generate an arbitrary amount of redundancy symbols that can all be used for error correction...

academic and former UN special rapporteur on arbitrary detention and the chair of UN Working Group on Arbitrary Detention. He is a professor at the Faculty...

depth-first search. The algorithm loops through each node of the graph, in an arbitrary order, initiating a depth-first search that terminates when it hits any...

the pushout of a kernel along arbitrary morphisms is again a kernel and, dually, the pullback of a cokernel along arbitrary morphisms is again a cokernel...

area which reflects how its points are distributed with regard to an arbitrary axis. The second moment of area is typically denoted with either an I...

area which reflects how its points are distributed with respect to an arbitrary axis. The unit of dimension of the second moment of area is length to...

Levinson Act as did the U.N. Working Group on Arbitrary Detention which declared Li's detention to be arbitrary. In November 2024, Li was released as part...

sparked a series of human rights incidents including unlawful killing, arbitrary arrests, inhumane prison conditions, and unfair trials. There were also...

landmark criminal case in which the United States Supreme Court decided that arbitrary and inconsistent imposition of the death penalty violates the Eighth and...

(abbreviated JWS) is an IETF-proposed standard (RFC 7515) for signing arbitrary data. This is used as the basis for a variety of web-based technologies...

beings was ever attempted, and ancient authors were often careless or arbitrary in the application of such titles". The following is a list of individual...

arbitrary machine on its tape ever prints a given symbol? Thus by providing a mathematical description of a very simple device capable of arbitrary computations...

signs, the relation between sign vehicle and referent is conventional or arbitrary, which applies to most linguistic signs. Models of signs analyze the basic...

1985 included extrajudicial killings, forced disappearances, torture, arbitrary detention, and severe restrictions on freedom of speech. Human Rights...

Working Group on Arbitrary Detention (WAGD) is a United Nations body which examines alleged cases of arbitrary imprisonment. Arbitrary imprisonment is...

Iran hostage diplomacy refers to the use of arbitrary detention of foreign nationals and dual citizens by the Islamic Republic of Iran as a tool of statecraft...

produce images in color or monochrome. LCDs are available to display arbitrary images (as in a general-purpose computer display) or fixed images with...

described in terms of many genres and styles. Classifications are often arbitrary, and may be disputed and closely related forms often overlap. Larger genres...

documented human rights abuses including disappearances, torture, and arbitrary executions carried out during India's counter-terrorism operations. United...

geometry, Varignon's theorem holds that the midpoints of the sides of an arbitrary quadrilateral form a parallelogram, called the Varignon parallelogram...

between the areas of three parallelograms attached to three sides of an arbitrary triangle. The theorem, which can also be thought of as a generalization...

intercepting adversaries. Modern standards for public-key encryption of arbitrary messages are usually based on KEMs. A KEM allows a sender who knows a...

inequality due to Charles Loewner. It relates the systole and the area of an arbitrary Riemannian metric on the 2-torus. In 1949 Charles Loewner proved that...

be counseled in love and forbearance. If they manifest an unwilling or arbitrary spirit, they subject themselves to the discipline of the church, even...

is a generalization of the discrete Fourier transform from cyclic to arbitrary finite groups. The Fourier transform of a function f : G → C {\displaystyle...

Floating-Point Reliable Library (GNU MPFR) is a GNU portable C library for arbitrary-precision binary floating-point computation with correct rounding, based...

allows arbitrary structured data of different types to be assembled in one file for exchanging between arbitrary computers. The ability to arbitrarily serialize...

In cryptography, a nonce is an arbitrary number that can be used just once in a cryptographic communication. It is often a random or pseudo-random number...

is a file format used primarily with Microsoft products to contain an arbitrary disk image, including boot sector information. The System Deployment Image...

The HTTP authentication specification includes realms that provide an arbitrary, implementation-specific construct for further dividing resources common...

filtering via any arbitrary program, and supports a wide variety of mail destination types, including mboxrd, maildir, and external arbitrary mail delivery...

secures a nonarbitrary form of government, and more generally prevents the arbitrary use of power." Legal scholars have expanded the basic rule of law concept...

means that the value of the function f {\displaystyle f} can be made arbitrarily close to L {\displaystyle L} , by choosing x {\displaystyle x} sufficiently...

phases, and magnitudes. When any two sine waves of the same frequency (but arbitrary phase) are linearly combined, the result is another sine wave of the same...

up side 1 is equal to the integral of the down side 2. Since we can arbitrarily change the dimensions of the loop and get the same result, the only physical...

the Fubini theorem for category, is an analog of Fubini's theorem for arbitrary second countable Baire spaces. Let X and Y be second countable Baire spaces...

Arbitrarily Primed Polymerase Chain Reaction (AP-PCR) is a DNA fingerprinting technique developed in 1990 by John Welsh and Michael McClelland. The method...

because place names may be considered words, technical terms may be arbitrarily long, and the addition of suffixes and prefixes may extend the length...

been committed. Unlawful killings, disappearances, torture, rape, and arbitrary arrest and detention by security forces increased during the year, and...

related problem of finding the circle with minimal radius containing an arbitrary set of points, not necessarily passing through them. Inscribed figure...

guarantees the right against arbitrary detainment and imprisonment. Section nine states: 9. Everyone has the right not to be arbitrarily detained or imprisoned...

War included surveillance, home invasions, illegal searches, robbery, arbitrary arrests, private communication interception, sabotage, enforced disappearance...

files and apply the changes to the current process, or indeed to read arbitrary files as a configuration file. There are no definitive standards or strong...

set is a subset of a topological space equal to an intersection of (an arbitrary number of) open sets. Let S {\displaystyle S} be a subset of a topological...

either airbags or automatic seat belts in new cars. It held that the arbitrary and capricious standard for reviewing agency action to enact regulations...

partnered with the UN and Thomson Reuters to create the UN Working Group on Arbitrary Detention Database. The online database includes over 1,000 legal decisions...

thereof). It is not possible to define a density with reference to an arbitrary measure (e.g. one can not choose the counting measure as a reference for...

definition varies by jurisdiction, but typically includes punishments that are arbitrary, unnecessary, or overly severe compared to the crime. The words "cruel...

g. to the spin-up and spin-down states of an electron. This choice is arbitrary, however. The points on the surface of the sphere correspond to the pure...

is a property of certain circles associated with an arbitrary triangle. Let △ABC be an arbitrary triangle, O its circumcenter and Oa, Ob, Oc are the circumcenters...

following is an incomplete list of some arbitrary-precision arithmetic libraries for C++. GMP MPFR MPIR TTMath Arbitrary Precision Math C++ Package Class Library...

served as United Nations Special Rapporteur on extrajudicial, summary or arbitrary executions from 2010 to 2016. Heyns was a visiting professor at American...

encountered problem. The best known and simplest formula for the area of an arbitrary triangle is area = 1 2 × base × height , {\displaystyle {\text{area}}={\tfrac...

vertices together with another set of hyperedges, each of which may be an arbitrary set. The hyperedges of a hypergraph form a family of sets, and any family...

data as plain text. Generally, the binary data consists of a sequence of arbitrary 8-bit byte (a.k.a. octet) values and the text is restricted to the printable...

Human rights abuses in Sindh, Pakistan, range from arbitrary arrests and enforced disappearances to torture, extrajudicial killings, and political repression...

Identifiers that do not follow any encoding scheme are often said to be arbitrary IDs as they have no greater meaning. A unique identifier (UID) is an identifier...

Whitespace is an imperative, stack-based language. The programmer can push arbitrary-width integer values onto a stack and access a heap to store data. An...

access a server. Practically, a SOCKS server proxies TCP connections to an arbitrary IP address and provides a means for UDP packets to be forwarded. The SOCKS...

in Riyadh run by the Saudi Arabian secret police agency Mabahith for arbitrary detention. During the 2011 Saudi Arabian protests, "the only brave man...

impossible by Pierre Wantzel in 1837 using field theory, namely trisecting an arbitrary angle and doubling the volume of a cube (see § impossible constructions)...

known as heap grooming) is a technique used in exploits to facilitate arbitrary code execution. The technique attempts to manipulate the layout of the...

fashion for protons over a time course of a sequence on almost arbitrary samples with arbitrary excitation and acquisition setup. The integration is performed...

subtended (from Latin for "stretched under") by a line segment at an arbitrary vertex is formed by the two rays between the vertex and each endpoint...

dependent on the order of insertion of the nodes into the tree since arbitrary insertions may lead to degeneracy; several variations of the binary search...

compiled in 2011 from the Canadiana : the national bibliography with arbitrary additions since then. Black, Jeremy (2011). Fighting for America: The...

distributions. Such a distribution describes an experiment where there is an arbitrary outcome that lies between certain bounds. The bounds are defined by the...

Acceleration (XvBA), designed by AMD Graphics for its Radeon GPU and APU, is an arbitrary extension of the X video extension (Xv) for the X Window System on Linux...

the Kosovo Specialist Chambers. The indictment charged Mustafa with "arbitrary detention … cruel treatment … torture … and murder" of civilians in 1999...

the classification must be non-arbitrary. Supreme Court in E. P. Royappa (1973) provided guidance on arbitrariness of an act: "Equality is a dynamic...

+a_{n}(x)y^{(n)}=b(x)} where a0(x), ..., an(x) and b(x) are arbitrary differentiable functions that do not need to be linear, and y′, ..., y(n)...

The choice of spelling for particular historical and modern persons is arbitrary. Notable people with the surname include: Chieko Homma (born 1964), former...

diffeological spaces, which beyond manifolds include arbitrary quotients of manifolds, arbitrary subsets of manifolds, and spaces of mappings between...

compiled in 2011 from the Canadiana : the national bibliography with arbitrary additions since then. Berry, Susan; Jack Brink (2004), Aboriginal Cultures...

hashes can contain nested lists and hashes, forming a tree structure; arbitrary graphs can be represented using YAML aliases (similar to XML in SOAP)...

Chamber. In modern times, legal or administrative bodies with strict, arbitrary rulings, no due process rights to those accused, and secretive proceedings...

focuses on documents, the language is widely used for the representation of arbitrary data structures, such as those used in web services. Several schema systems...

applications in real-time and supports custom-built plugins to collect arbitrary data. The company partners with companies including IBM Bluemix, Amazon...

name belongs to several groups that are not closely related, and can be arbitrary. Specific examples of fish termed rockfish include: The family Sebastidae...

input, similar to a skein of yarn. Skein was designed to natively support arbitrary, variable-length outputs, so it can be considered an extendable-output...

the term is that the creators of the "catch-22" situation have created arbitrary rules in order to justify and conceal their own abuse of power. Joseph...

GNU Multiple Precision Arithmetic Library (GMP) is a free library for arbitrary-precision arithmetic, operating on signed integers, rational numbers,...

According to Ian Livingstone, alignment is "often criticized as being arbitrary and unreal, but... it works if played well and provides a useful structural...

which is interpreted as "given any", "for all", "for every", or "given an arbitrary element". It expresses that a predicate can be satisfied by every member...

of the quotient of a set by an equivalence relation to objects in an arbitrary category. It is the categorical construction dual to the equalizer. A...

is continually changing. In January 2020, Zfg showcased an example of arbitrary code execution (ACE) in Ocarina of Time by spawning in Arwings from Star...

representation within programming languages. While this allows for numbers of arbitrary precision to be serialized, it may lead to portability issues. For example...

complexity. This also rules out the idea that there is a way to assign to arbitrary computable functions their computational complexity, meaning the assignment...

the complement of a set (lowercase c and the symbol ∁ are also used) an arbitrary category the number concentration* Carbon Heat capacity The C programming...

colorful and abstract decoration as well as asymmetrical shapes, sometimes arbitrarily alluding to exotic or earlier styles and designs. Despite the original...

Base62 is a binary-to-text encoding that represents arbitrary data (including binary data) as ASCII text. It encodes data as the 62 letters and digits...

The New York Times, criticized the book's thesis for being too neat and arbitrary, calling it "an updated version of Whig history." N.S. Lyons of City Journal...

president of the JNUSU, filed a petition at the Delhi High Court against the "arbitrary" fee hikes and fines imposed by the university administration. In February...

the image itself being optimized for transfer over a network.) Portable Arbitrary Map (PAM) is an extension of the older binary P4...P6 graphics formats...

arbitrarily and indefinitely. Otherwise, the power to impose such delays would effectively allow prosecutors to send anyone to jail for an arbitrary length...

Random access (also called direct access) is the ability to access an arbitrary element of a sequence in equal time or any datum from a population of...

sixteenth century when the size of the opening was considered fixed but arbitrary and the question of how many of Euclid's constructions could be obtained...

is called a "Multiple Arbitrary Function Generator." These differences run deeper than nomenclature. The Multiple Arbitrary Function Generator (or MARF)...

frustration of trying to conduct business with non-transparent, seemingly arbitrary controlling systems, and the futile pursuit of an unobtainable goal. Kafka...

color model and in printing with the CMYK color model. As such, it is an arbitrary classification of color. Below is a list of some of the common pink colors...

archives created by versions of 7-Zip prior to 16.03 were vulnerable to arbitrary code execution through DLL hijacking: they load and run a DLL named UXTheme...

proposed by early computing pioneer Willem van der Poel. It argues that arbitrary limits on the number of instances of a particular type of data or structure...

Now one can go even further and define orders where arbitrary joins distribute over arbitrary meets. Such structures are called completely distributive...

host. The show ostensibly takes the form of a game show, with the host arbitrarily assigning points and likewise choosing a winner at the end of each episode...

\sigma (P)} enjoy the property, avoiding the task of checking it for an arbitrary set in σ ( P ) . {\displaystyle \sigma (P).} One of the most fundamental...

intentionally not Turing-complete, and therefore can not express an arbitrary program. Instead, arbitrary build steps beyond compiling supported languages can be...

in November 2021 in Log4j, a popular Java logging framework, involving arbitrary code execution and exploited as a zero-day vulnerability. The vulnerability...

the Domain Name System (DNS) used to provide the ability to associate arbitrary text with a host or other name, such as human readable information about...

function generators, RF and microwave signal generators, pitch generators, arbitrary waveform generators, digital pattern generators, and frequency generators...

assembly and association, freedom of religion) and prohibitions (e.g., arbitrary arrest and detention, forced exile, torture, and discrimination based...

units are identified as "arbitrary units". Arbitrary units are not commensurable with any other unit; measurements in arbitrary units cannot be compared...

is thus used by analogy to describe, for example, situations where an arbitrary standard is used to measure success, while completely disregarding obvious...

data structures. The algorithm starts at the root node (selecting some arbitrary node as the root node in the case of a graph) and explores as far as possible...

computer file. Computer files may be reopened, modified, and copied an arbitrary number of times. The word "file" derives from the Latin filum ("a thread...

Distinctive features of the language are abstract data types, calculations in arbitrary algebras, and analytic transformations. It was implemented on MIR-2 machines...

Curry's paradox is a paradox in which an arbitrary claim F is proved from the mere existence of a sentence C that says of itself "If C, then F". The paradox...

also involved murder. All categorization amounts to forming somewhat arbitrary distinctions where relating to intention in the case of psychosis, where...

said to have rotational invariance if its value does not change when arbitrary rotations are applied to its argument. For example, the function f ( x...

celestial sphere; that is, it lies north of the celestial equator. This arbitrary sphere appears to rotate westward around a polar axis due to Earth's rotation...

in Unicode. In Bash, Perl, and Ruby, operator <<EOF (where "EOF" is an arbitrary string, but commonly "EOF" denoting "end of file") is used to denote the...

software portal Class Library for Numbers (CLN) is a free library for arbitrary precision arithmetic. It operates on signed integers, rational numbers...

numbers to a pre-defined arbitrary precision with several rounding modes. The Fraction class in the fractions module provides arbitrary precision for rational...

senior lawyers before the CJI. Prashant Bhushan Writes to SC Registrar on 'Arbitrary' Allocation of Cases to Justice Bela M. Trivedi "This case was part heard...

musical periods such as Baroque, Classical, Romantic, etc. are somewhat arbitrary. All dates are CE. c. 100-c. 500: Early Christian era c. 230 — Alleluia...

The aPC generalizes chaos expansion techniques towards arbitrary distributions with arbitrary probability measures, which can be either discrete, continuous...

in 1978 as a generalization of bi-cubic uniform B-spline surfaces to arbitrary topology. In 2005/06, Edwin Catmull, together with Tony DeRose and Jos...

as Mnchen-3ya. While the Domain Name System (DNS) technically supports arbitrary sequences of octets in domain name labels, the DNS standards recommend...

In modern history, many of these terms have been given specific, often arbitrary meanings that are unrelated to any of their historical meanings. Some...

variations, a variation δf of a function f can be concentrated on an arbitrarily small interval, but not a single point. Accordingly, the necessary condition...

in literary parlance it is a narrative technique in which a seemingly arbitrary sequence of events in a character's life is presented, often lacking plot...

of archaeology, a spit is a unit of archaeological excavation with an arbitrarily assigned measurement of depth and extent. It is a method of excavation...

prohibit arbitrary arrest and detention, but authorities in 2011 did not observe these prohibitions. In some cases, authorities arbitrarily arrested and...

components or software systems. They are used to illustrate the structure of arbitrarily complex systems. A component diagram allows verification that a system's...

Sam Roweis (2010). "Astrometry.net: Blind astrometric calibration of arbitrary astronomical images". The Astronomical Journal. 139 (5): 1782–1800. arXiv:0910...

have selected numbers using different methods over the years, some more arbitrary than others. This makes it impossible to convert all stardates into equivalent...

relation symbols. Model theory has a different scope that encompasses more arbitrary first-order theories, including foundational structures such as models...

allows the installation of a new driver on an existing system, running an arbitrary kernel version, without any need for manual compilation or precompiled...

requires at least six degrees of freedom to place a manipulated object in an arbitrary position and orientation in the workspace of the robot. A popular application...

mathematical physics, higher-dimensional gamma matrices generalize to arbitrary dimension the four-dimensional Gamma matrices of Dirac, which are a mainstay...

labeled as either positive (+) or negative (-). The designations are arbitrary. Nothing is inherent to a positively charged particle that makes it "positive"...

in Cellebrite's UFED and Physical Analyzer software that allowed for arbitrary code execution on Windows computers running the software. One exploit...

theory, the binary cycle space may be generalized to cycle spaces over arbitrary rings. The cycle space of a graph can be described with increasing levels...

transmittances. This is accomplished by dividing all impedance elements by R, an arbitrary resistance and multiplying all admittance elements by R. This scaling...

computations. If arbitrary values are allowed in dependent types, then deciding type equality may involve deciding whether two arbitrary programs produce...

speedometer have identical meaning: a device that measures speed. It is by arbitrary convention that in the automotive world one is used for engine revolutions...

decision reached that conclusion by a discussion of evidence regarding the arbitrary nature of execution, although the Court did not go so far as to say that...

also been extended to finite subgroups of general linear groups over arbitrary fields - with a more complicated albeit analogous statement - by Collins...

attention. In 2022, the United Nations Working Group on Arbitrary Detention found his detention arbitrary and called for his immediate release and compensation;...

but it generalizes the other methods by allowing optimization of an arbitrary differentiable loss function. The idea of gradient boosting originated...

trapped-ion systems. Promising schemes in development to scale the system to arbitrarily large numbers of qubits include transporting ions to spatially distinct...

we consider an arbitrary linear combination of these vectors and try to see when it equals the desired vector x2 − 1. Picking arbitrary coefficients a1...

communicate over various kinds of buses and channels. The distinction can be arbitrary between a computer bus, often closer in space, and larger telecommunications...

are independent of any particular language.) Some ideograms are more arbitrary than others: some are only meaningful assuming preexisting familiarity...

functions to complex numbers, the formula is valid even when x is an arbitrary complex number. For x = π 6 {\displaystyle x={\frac {\pi }{6}}} and n...

the world vary between 5,000 and 7,000. Precise estimates depend on an arbitrary distinction (dichotomy) established between languages and dialects. Natural...

illegitimate, arbitrary despotism, where the despot is in association with and gives privilege and/or favors to certain social classes. The arbitrary despot...

proven that there is no algorithm that correctly determines whether an arbitrary program eventually halts when run. A decision problem is a question which...

'period' is often arbitrary, since it has changed over time and over the course of history. Systems of periodization are more or less arbitrary, yet it provides...

OPML specification defines an outline as a hierarchical, ordered list of arbitrary elements. The specification is fairly open which makes it suitable for...

faced state-sponsored discrimination, restrictions on religious practice, arbitrary detention, expulsion, and denial of civil rights. The persecution has...

UN's Working Group on Arbitrary Detention concluded that the UAE, along with the US, was responsible for the Afghan man's arbitrary detention and violation...

Abraham Adrian Albert with dissertation Alternative Algebras over an Arbitrary Field. After service in the U.S. Naval Reserve from 1942 to 1945, he was...

dorsal surface is covered by whitish pubescence. The species name is an arbitrary combination of letters. "Global Biodiversity Information Facility". gbif...

She was previously the Special Rapporteur on extrajudicial, summary, or arbitrary executions appointed by the United Nations Human Rights Council, and the...

gate set, this requires that the simulating circuit contain loops of arbitrary complexity. Structure theory deals with the "loop-free" realizability...

surrounding space. In physical problems, the choice of origin is often arbitrary, meaning any choice of origin will ultimately give the same answer. This...

an Alexandrov topology is a topology in which the intersection of an arbitrary family of open sets is open (while the definition of a topology only requires...

and generally space-filling curves. Geohashes offer properties like arbitrary precision and the possibility of gradually removing characters from the...

environments that emphasizes interpersonal connections to places and arbitrary routes. It was developed by members of the Letterist International and...

Earth. Most hypothetical constructions rely on hydrogen bombs being made arbitrarily large, assuming there are no concerns about delivering them to a target...

neologisms which will not previously have been found in any dictionary. An arbitrary trademark is usually a common word which is used in a meaningless context...

quantum-mechanical analog of the classical harmonic oscillator. Because an arbitrary smooth potential can usually be approximated as a harmonic potential at...

appointment of practitioners in accordance with a quota; to this extent, it was arbitrary and capricious and violated the constitutional right to equality. The...

classifying countries into development bins because the cut-off values seem arbitrary, and the classifications can provide incentives for strategic behavior...

polymorphism are: Ad hoc polymorphism: defines a common interface for an arbitrary set of individually specified types. Parametric polymorphism: does not...

An arbitrary direction can also be specified in a Cartesian coordinate system, defined in terms of mutually orthogonal coordinate axes. Any arbitrary direction...

a perfect black body, Kirchhoff's law states that: For a body of any arbitrary material emitting and absorbing thermal electromagnetic radiation at every...

{z}}\xi (z)=0=\partial _{z}\xi ({\bar {z}})} ⁠, the infinity of modes of arbitrary analytic coordinate transformations ξ ( z ) {\displaystyle \xi (z)} yield...

the power to do; and using the word "liberty" to mean the absence of arbitrary restraints, taking into account the rights of all involved. In this sense...

space is four-dimensional, meaning that matching the sensory effect of arbitrarily chosen spectra of light within their visible spectrum requires mixtures...

human rights defenders documented abuses by security forces, such as arbitrary arrests, among other human rights violations, during the operation. In...

center of symmetry of both curves. To determine the trisection of an arbitrary angle α {\displaystyle \alpha } , the following construction can be used:...

typically rendered in an arbitrary fashion, although works may demonstrate (i.e., have in common) a degree of arbitrariness, such that it is improbable...

is usually chosen to be a quiet NaN with an all-zero payload and an arbitrarily defined sign bit. On RISC-V, most floating-point operations only ever...

later the Hough transform has been extended to identifying positions of arbitrary shapes, most commonly circles or ellipses. The Hough transform as it is...

Women, asylum seekers, poverty, working class rights, foreign policy, and arbitrary arrest and detention are ongoing. The first human rights organization...

(DFT), of a function whose values are commonly complex numbers, over an arbitrary ring. Let R be any ring, let n ≥ 1 {\displaystyle n\geq 1} be an integer...

fixed-point numbers, and floating-point numbers, but not rational numbers and arbitrary-precision numbers. The number of digits being fixed means that the maximal...

Mayor of Quelimane. During the 2023 municipal elections, de Araújo was arbitrarily detained by police officers after visiting polling stations, with the...

that the hypothesis should distinguish between arbitrary and non-arbitrary situations, as non-arbitrary situations decrease the aggressiveness of response...

the syntactic structure of natural language; languages containing an arbitrary number of them are non-context-free. By this fact, Dutch and Swiss-German...

one-universe foundation for category theory, the term conglomerate is applied to arbitrary sets as a contraposition to the distinguished sets that are elements of...

Combining Diacritical Marks for Symbols is available for composing other, arbitrary encircled symbols. Many of these characters were originally intended for...

\mathbf {S} =0.} Since Σ can be chosen arbitrarily, e.g. as an arbitrary small, arbitrary oriented, and arbitrary centered disk, we conclude that the integrand...

SHARC (Surface Hopping Including Arbitrary Couplings) is an ab initio molecular dynamics program suite primarily dedicated to study the excited-state...

today, and pop-up menus. He designed the generalizations of BitBlt to arbitrary color depth, with built-in scaling, rotation, and anti-aliasing. He made...

{\displaystyle P(D|T)} . Here is an example of an evolutionary tree on arbitrary sequence data D {\displaystyle D} : This is a key value and is often quite...

Barrow's inequality is an inequality relating the distances between an arbitrary point within a triangle, the vertices of the triangle, and certain points...

become completely arbitrary, so that, for example, one can define an entirely new time-like coordinate according to some arbitrary rule such as t → t...

representation entails an analog or a digital representation. A color space may be arbitrary, i.e. with physically realized colors assigned to a set of physical color...

space is a metric space in which two arbitrary points can be connected by a chain of points that are arbitrarily close. It is closely related to the notion...

Declaration of Human Rights states that "No one shall be subjected to arbitrary arrest, detention or exile." Internal exile is a form of banishment within...

Discrete dipole approximation (DDA). Most of the software applies to arbitrary-shaped inhomogeneous nonmagnetic particles and particle systems in free...

errors. Each tries to verify that the RAM will accept and correctly retain arbitrary patterns of data written to it, that there are no errors where different...

protection of the law." The appellant's argument rested on the alleged arbitrariness of the ambit of section 37(1), in that it employed citizenship as a...

step is to disregard that which can't be easily measured or give it an arbitrary quantitative value. This is artificial and misleading. The third step...

("multimethods") that allows the method to call to be selected at runtime based on arbitrary decidable logical predicates and/or pattern matching attached to a method...

corresponding hanja. However, since Korean given names can be created arbitrarily, it may also be a name with hanja (e.g. 妸凜). People with this name include:...

celestial sphere; that is, it lies south of the celestial equator. This arbitrary sphere, on which seemingly fixed stars form constellations, appears to...

from arbitrary spaces of a certain type into X , {\displaystyle X,} for example all such maps from arbitrary compact spaces, or from arbitrary compact...

A service wrapper is a computer program that wraps arbitrary programs thus enabling them to be installed and run as Windows Services or Unix daemons,...

2018, the bridge height restriction (previously 3 metres (9.8 ft) was arbitrarily removed by visitors crossing to the North. Australian Bureau of Statistics...

jurisdiction and guarantee the rights of all the Crown's subjects against arbitrary arrest and detention. At common law the burden was usually on the official...

A bustline is an arbitrary line encircling the fullest part of the bust or body circumference at the bust. It is a body measurement which measures the...

display server. In general, xinit and startx can start an arbitrary server and run an arbitrary script. Typically, this script runs a number of programs...

Twitter. Wolff, Fryda [@FreeTheWolfVO] (1 June 2022). "I don't do "Happy Arbitrarily Assigned Month!" because I'm queer/bi every day and I think Black and...

Bouaziz Ait Chebib. The movement was, many times, victim of repression and arbitrary arrests by the Algerian government. It was founded on 15 December 2017...

Some web proxies allow the HTTP CONNECT method to set up forwarding of arbitrary data through the connection; a common policy is to only forward port 443...

dereferences. By contrast, programming languages like C, C++, and Fortran allow arbitrary pointer arithmetic with pointers implemented as direct memory addresses...

{\displaystyle {\tfrac {2k\pi }{n}}} ⁠ are erected on the sides of an arbitrary n-gon A0, and if this process is repeated with the n-gon formed by the...

that it is impossible to create an independent and identical copy of an arbitrary unknown quantum state, a statement which has profound implications in...

fanciful and receive strong trademark protection. Arbitrary marks include preexisting words used in an arbitrary way, such as "Apple" when used for computers...

Group on Arbitrary Detention delivered Opinion No. 28/2025, concluding that Benabderrahmane's deprivation of liberty in Qatar in 2020 was arbitrary, identifying...

after Issai Schur, is a matrix decomposition. It allows one to write an arbitrary complex square matrix as unitarily similar to an upper triangular matrix...

_{k=1}^{a-1}{\frac {c_{k}}{z+k}}+\varepsilon _{a}(z)\right)} where a is an arbitrary positive integer and the coefficients are given by c 0 = 2 π c k = ( −...

Terence Tao in 2004, states that the sequence of prime numbers contains arbitrarily long arithmetic progressions. In other words, for every natural number...

management. Features for low-level programming include packed structs, arbitrary-width integers and multiple pointer types. Zig was designed by Andrew...

integers), but in other cases it may be necessary to impose a (perhaps arbitrary) ordering. In some contexts, such as enumerative combinatorics, the term...

preserve growth information, the value in the base year (currently 2012) is arbitrarily set at 100. This index, along with other industrial indexes and construction...

just like any other self-stabilizing algorithm – can be started in an arbitrary state, and it will eventually converge to a legitimate state. Additionally...

Kingsley Way. The state highway ends and continues as a town road at an arbitrary location between the town line and Davis Street to the north. Route 136...

putatively arbitrary changes to how taxa are delineated. The best-known case is the elevation of a group of subspecies to species rank through the arbitrary decision...

sh, AWK, and sed. It provides text processing facilities without the arbitrary data-length limits of many contemporary Unix command line tools. Perl...

different arrangements of burners and controls. In the above case, an arbitrary arrangement of controls, such as controls in a row, even though the burners...

of points required to form a dense region (minPts). It starts with an arbitrary starting point that has not been visited. This point's ε-neighborhood...

relativistically correct, time-varying electromagnetic field for a point charge in arbitrary motion, but are not corrected for quantum mechanical effects. Electromagnetic...

boundaries are clearly defined by geography, the northern boundary is arbitrarily defined as the New South Wales – Queensland border. The distinguishing...

retain a memory of substances previously dissolved in it even after an arbitrary number of serial dilutions. It has been claimed to be a mechanism by which...

architecture. Partition tolerance The system continues to operate despite an arbitrary number of messages being dropped (or delayed) by the network between nodes...

chief of the principal parts, although lemmatisation is at least partly arbitrary. The form of a word that is chosen to serve as the lemma is usually the...

Researchers have studied the problem of computing the diameter, both in arbitrary graphs and in special classes of graphs. The diameter of a disconnected...

Qalculate! is an arbitrary precision cross-platform software calculator. It supports complex mathematical operations and concepts such as differentiation...

using Hensel lifting Finite field arithmetic Floating-point arithmetic Arbitrary-precision arithmetic Interval arithmetic Symmetric level-index arithmetic...

Saussure saw this relation as being essentially arbitrary (the principle of semiotic arbitrariness), motivated only by social convention. Saussure's...

of the fluid displaced by the cuboid. By summing up sufficiently many arbitrarily small cuboids this reasoning may be extended to irregular shapes, and...

allows quickly excluding checks of the pairs that are far apart. The arbitrarily oriented minimum bounding box is the minimum bounding box, calculated...

Walker. That is, it returns integer values 1 ≤ i ≤ n according to some arbitrary discrete probability distribution pi. The algorithms typically use O(n...

territory of India". It also covers a just and fair trial without any arbitrary procedure, which confers that arrest should not only be legal but also...

programming languages (e.g., Java's DecimalFormat), to represent any arbitrary currency. This invites the reader to (mentally) substitute their local...

unlawful or arbitrary killings by government agents; arbitrary detention by government agents; harsh and life-threatening prison conditions; arbitrary or unlawful...

thesis, titled "Theoretical Limitations on the Broadband Matching of Arbitrary Impedances", was supervised by Ernst Guillemin. Fano's career spans three...

"Prefect Qiao Rearranges Matches in an Arbitrary Decision" (喬太守亂點鴛鴦譜) is a Chinese comedy from the 1627 short-story anthology Stories to Awaken the World...

Points between the cardinal directions form the points of the compass. Arbitrary horizontal directions may be indicated by their azimuth angle value. Direction...

In geometry, a trisectrix is a curve which can be used to trisect an arbitrary angle with ruler and compass and this curve as an additional tool. Such...

Copley his first fame abroad. In 1770, Pelham's engravement, The Fruits of Arbitrary Power, or The Bloody Massacre, depicted the Boston Massacre of March 5...

with curved boundaries, but also the study of Riemannian manifolds in arbitrary dimension. The calculus of variations is sometimes regarded as part of...

aims to continue in the tradition of the paper newspaper, Le Matin, arbitrarily suspended by the Algerian authorities in July 2004. "Qui sommes-nous...

more general form that recognises the freedom of adding the curl of an arbitrary vector field to the definition. The Poynting vector is used throughout...

authorization to market flavored electronic cigarette products was not arbitrary and capricious under the Administrative Procedure Act (APA). Two makers...

access file. A file may be written to or read from in an arbitrary order. To accomplish the arbitrary access, the operating system provides a method to quickly...

Administrative distance (AD) or route preference is a number of arbitrary unit assigned to dynamic routes, static routes and directly connected routes...

(CD-R, Arbitrary Signs) Mystery City (CD-R, Arbitrary Signs) 2003 Book as Symbol of 8 Precious Things - Hand of the Creator (CD-R, Arbitrary Signs) 2004...

Tychonoff cube is named after Andrey Tychonoff, who first considered the arbitrary product of topological spaces and who proved in the 1930s that the Tychonoff...

problem refers to a situation where an autonomous robot is carried to an arbitrary location and put to operation, and the robot must localize itself without...

user-defined surface integrals, or knot energies. The Evolver can handle arbitrary topology, volume constraints, boundary constraints, boundary contact angles...

have any epoch, can be relative to any arbitrary time, such as the power-on time of a system or some arbitrary time in the past. A distinction is sometimes...

Mathematics, 45(1), 137-152. Johansson, Fredrik (2017). Arb: efficient arbitrary-precision midpoint-radius interval arithmetic. IEEE Transactions on Computers...

the trapezoid is a parallelogram, then the choice of bases and legs is arbitrary. A trapezoid is usually considered to be a convex quadrilateral in Euclidean...

end becomes catenoidal. Defining these surfaces on rectangular tori of arbitrary dimensions yields the Costa surface. Its discovery triggered research...

promulgated exceeded the Secretary’s statutory authority and whether they are arbitrary and capricious.” The Court decided that even where an agency's enabling...

arbitrary sequence of bytes of arbitrary length. Data (called a value in this parlance) does not need to be a fixed size and also can be an arbitrary...

building blocks for constructing arbitrary finite groups in the same way that prime numbers can be used to construct arbitrary whole numbers by taking products...

can be represented in terms of either time or story points (a sort of arbitrary unit). Burn charts can be used to present the project's team velocity...

right to food; 2) prison camps; 3) torture and inhuman treatment; 4) arbitrary arrest and detention; 5) discrimination in basic human rights and fundamental...

Mechanics, on Dynamic Models)." 5.47321 "Occam's Razor is, of course, not an arbitrary rule nor one justified by its practical success. It simply says that unnecessary...

is the amount of a substance that reacts with (or is equivalent to) an arbitrary amount (typically one mole) of another substance in a given chemical reaction...

A_{j}\rightarrow \varinjlim A_{i}} . The direct limit can be defined in an arbitrary category C {\displaystyle {\mathcal {C}}} by means of a universal property...

Walling, Lynne H. Hecke operators on theta series attached to lattices of arbitrary rank. Acta Arith. 54 (1990), no. 3, 213–240. Merrill, Kathy D.; Walling...

usually are formed by Mach–Zehnder interferometer arrays that can perform arbitrary linear operations, e.g. Fourier transforms; other operations, such as...

other information that defines the query. As part of a POST request, an arbitrary amount of data of any type can be sent to the server in the body of the...

secrecy of correspondence, the principle of subsidiarity, protection from arbitrary authority, and respect for the highest standards of democracy. The movement...

required as a base for the definition of true anomaly, it is usually arbitrarily assumed (as a line pointing into the direction of the vernal equinox)...

(disambiguation) Excited state, an elevation in energy level above an arbitrary baseline energy state Exciter (disambiguation) This disambiguation page...

Intel ADX (Multi-Precision Add-Carry Instruction Extensions) is Intel's arbitrary-precision arithmetic extension to the x86 instruction set architecture...

boundary conditions which affect force density. In a sphere placed in an arbitrary non-stationary flow field of viscous incompressible fluid for stick boundary...

when the factorials are replaced by the Bhargava factorials. Using an arbitrary infinite subset S of the set Z {\displaystyle \mathbb {Z} } of integers...

the irreducible representations of the symmetric group are not known in arbitrary characteristic. In this context it is more usual to use the language of...

on a temple in Yamagata prefecture, Japan, in 1880. Triangulating an arbitrary cyclic quadrilateral by its diagonals yields four overlapping triangles...

classification is whether the rectangle is sought among axis-oriented or arbitrarily oriented rectangles. The case when the sought rectangle is an axis-oriented...

religious persecution, organized attacks by terrorist groups, harassment, and arbitrary arrest for various reasons have affected Hazaras. There have been numerous...

meaningful distances between measurements defined, but the zero value is arbitrary (as in the case with longitude and temperature measurements in degree...

minutes and that such groups can form even on the basis of completely arbitrary and invented discriminatory characteristics, such as preferences for certain...

possible to derive thermodynamic quantities in a generalized form for an arbitrary magnetic system using the formulation of magnetic work. Simplified thermodynamic...

execute arbitrary commands". cve.circl.lu. "CVE-2000-0624: Buffer overflow in Winamp 2.64 and earlier allows remote attackers to execute arbitrary commands...

free dictionary. Large means of great size. Large may also refer to: Arbitrarily large, a phrase in mathematics Large cardinal, a property of certain...

quantity of interest, since proper time itself is fixed only up to an arbitrary additive constant, namely the setting of the clock at some event along...

The difference between more than one sequel and a series is somewhat arbitrary. Sequels are attractive to creators and publishers because there is less...

the government to equate tribunal members with civil servants, enabling arbitrary curtailment of tenure, and maintaining executive dominance in appointments...

whether a given value is in the set, or enumerating the values in some arbitrary order. Other variants, called dynamic or mutable sets, allow also the...

library code. Chained together, these gadgets allow an attacker to perform arbitrary operations on a machine employing defenses that catch simpler attacks...

themselves to reveal further detail, allowing for recursive nesting and an arbitrary level of zoom. Researchers have described the ZUI paradigm as a Post-WIMP...

can be adapted also to a field K with a valuation v taking values in an arbitrary ordered abelian group: (K,v) is spherically complete if every collection...

includes: CVE prefix + Year + Arbitrary Digits The variable-length arbitrary digits begin at four fixed digits and expand with arbitrary digits only when needed...

approximation theorem in two directions: instead of the real interval [a, b], an arbitrary compact Hausdorff space X is considered, and instead of the algebra of...

the focus. Parabolas can open up, down, left, right, or in some other arbitrary direction. Any parabola can be repositioned and rescaled to fit exactly...

day. Arbitrary control occurs when the controller is understood to be anybody in general, e.g. Reading the Dead Sea Scrolls is fun. - Arbitrary control...

An arbitrarily varying channel (AVC) is a communication channel model used in coding theory, and was first introduced by Blackwell, Breiman, and Thomasian...

individuals about what conduct was forbidden by the law. Second, it encouraged arbitrary arrests and convictions. The Court cited a series of Supreme Court precedent...

can be generalized to functions defined on the vertices of (a mesh of) arbitrary convex quadrilaterals. Bilinear interpolation is performed using linear...

other two are Fancy and Utility. These groupings, which can be somewhat arbitrary, are useful mainly in the context of a pigeon show. All the pigeons of...

September 2014. Shellshock could enable an attacker to cause Bash to execute arbitrary commands and gain unauthorized access to many Internet-facing services...

pigs and from the rumen of calves. The species epithet azabuensis is an arbitrary name referring to the Azabu "Academic Frontier" Project, which supported...

despot applies pejoratively to those who use their power and authority arbitrarily to oppress their populace or subordinates. More specifically, the term...

differentiation enables the simultaneous computation of the numerical values of arbitrarily complex functions and their derivatives using only the function itself;...

equivalent to a CSP with an infinite template, general CSPs can have arbitrary complexity. In particular, there are also CSPs within the class of NP-intermediate...

Arf (1941) when he started the systematic study of quadratic forms over arbitrary fields of characteristic 2. The Arf invariant is the substitute, in characteristic 2...

It was an individualistic dance, with no steps, legs trembling, arms arbitrarily gesticulating and head shaking. No partner was necessary. Part of the...

have been responsible for a wide range of human rights abuses, including arbitrary arrest, incommunicado detention, and torture" including waterboarding...

another AC waveform, where the output voltage and frequency can be set arbitrarily. Referring to Fig 1, AC-AC converters can be categorized as follows:...

algorithm. It re-expresses the discrete Fourier transform (DFT) of an arbitrary composite size N = N 1 N 2 {\displaystyle N=N_{1}N_{2}} in terms of N1...

relationship". If there exists a relation between a requirement and an arbitrary model element traced by this requirement, their relation is named "trace...

k ) {\displaystyle (\eta _{k})=(\xi _{n_{k}})} , such that for every arbitrary subsequence ( η ~ n ) = ( η k n ) {\displaystyle ({\tilde {\eta }}_{n})=(\eta...

darker, almost black, shade. The species name, Zig zag, is formed as an "arbitrary combination of letters", alluding to the characteristic sinusoidal zigzag-shaped...

determine time as a number representing the seconds removed from a particular arbitrary date and time. For instance, Unix and POSIX measure time as the number...

157–173, 1973 ders.: Lattice point theory of irrational ellipsoids with an arbitrary center, Monatsh. Math. 83, 279–307, 1977 ders.: Ω-estimates in lattice...

proposition with a measured probability of being true for an arbitrary person at an arbitrary time. They may be contrasted with deterministic propositions...

printable ASCII characters (alphanumeric and the equals sign =) to represent arbitrary binary data to enable transmission of 8-bit data over a 7-bit data path...

\quad J={\begin{pmatrix}0&-1\\1&0\end{pmatrix}}.} Then an arbitrary complex number a + bi can be represented by: a I + b J = ( a − b b a )...

Quantum Computing Control System (QCCS), which integrates a multi-channel Arbitrary Waveform Generator (HDAWG), a Quantum Analyzer (UHFQA) and a Programmable...

B , {\displaystyle A\subseteq B,} suppose that a is a particular but arbitrarily chosen element of A show that a is an element of B. The validity of this...

Court dismissed Plaintiff's claims, finding that the ordinance was not arbitrary discrimination and that the enforcement measures were reasonable and necessary...

computability theory is that there cannot exist an algorithm that takes an arbitrary general recursive function as input and tests whether 0 belongs to its...

lack there of [sic]...) strangely engaging. The film is literally an arbitrary compilation of the people and events involved in the band's tour." "A...

expressed as a percentage, and approaches a value of 0 for individuals with arbitrarily remote common ancestors. The coefficient of relationship r {\textstyle...

"logical" definition of probability as the likelihood or credibility of arbitrary logical propositions. The Dutch book arguments show that rational agents...

arithmetic coding encodes the entire message into a single number, an arbitrary-precision fraction q, where 0.0 ≤ q < 1.0. Arithmetic coding achieves...

hexagrammum mysticum theorem, Latin for mystical hexagram) states that if six arbitrary points are chosen on a conic (which may be an ellipse, parabola or hyperbola...

suitable candidate for arbitrary-precision arithmetic. In OCaml, the Num module (now superseded by the ZArith module) provides arbitrary-precision arithmetic...

suitable as a carrier for decimal-place sensitive financial data and arbitrary precision numerics with 34 decimal digits of precision, a max value of...

geometry, Pu's inequality, proved by Pao Ming Pu, relates the area of an arbitrary Riemannian surface homeomorphic to the real projective plane with the...

In mathematics, a thick set is a set of integers that contains arbitrarily long intervals. That is, given a thick set T {\displaystyle T} , for every...

simulator) — 3D Planar EM simulator element of ADS platforms FEM Element — Arbitrary 3D geometry EM simulator element of ADS platforms The deprecated Tektronix...

Clark, J. (November 1978). "Recursively generated B-spline surfaces on arbitrary topological meshes". Computer-Aided Design. 10 (6): 350–355. doi:10...

is decidable if there is an effective method for determining whether arbitrary formulas are included in the theory. Many important problems are undecidable...

size of the intermediate data, which may appear during a computation, an arbitrary-precision arithmetic implementation, needed by the huge size of the integers...

{\mathcal {F}}.} The pair ( Y , 2 Y ) {\displaystyle (Y,2^{Y})} of an arbitrary set Y {\displaystyle Y} and its power set 2 Y {\displaystyle 2^{Y}} is...

occupation of Okinawa. However, he was removed when military authorities arbitrarily changed Okinawan election ordinances. Senaga was a strong advocate for...

latter admits that language has fallen and that the signifier enjoys an arbitrary relation to the signified. Cratylism is distinguished from linguisticity[definition...

numbers. In order to produce one digit, it may be necessary to look arbitrarily far to the right to determine if there is a carry to the current location...

the general text of the fictional story. It may contain any number of arbitrary attributes. Common attributes include tense (as in past, present), voice...

long strings in such a language have a substring that can be repeated arbitrarily many times, usually used to prove that certain languages are not regular...

is arbitrary, and colors are arbitrarily assigned to various avenues in Manhattan, the combination of a letter or number and color is not arbitrary. That...

can execute Apache Ant, Apache Maven, and sbt based projects as well as arbitrary shell scripts and Windows batch commands. The Jenkins project was originally...

Endian Base 128 is a variable-length code compression used to store arbitrarily large integers in a small number of bytes. LEB128 is used in the DWARF...

"transitive", we compare the model (V, ∈) with other models isomorphic to it. An arbitrary isomorphism such as f(x) = {x, ∅} will usually yield a non-standard class...

is especially suitable for general relativity. OGRe allows performing arbitrarily complicated tensor operations, and automatically transforms between index...

vector's reference frame at an arbitrary frequency. The rotation shifts the signal's frequency spectrum such that the arbitrary frequency now appears as "dc...

network. The effective resistance and current distribution properties of arbitrary resistor networks can be modeled in terms of their graph measures and...

“[the comment header] is meant for short, text comments, not arbitrary metadata; arbitrary metadata belongs in a separate logical bitstream (usually an...

typeface, weight, and style as the preceding text – many are probably arbitrary.[citation needed] The rules dealing with quotation marks are a good example...

into an environment to indicate which direction is "up", even if "up" is arbitrary. For example, a cluttered desk has a number of unattached objects on one...

three-stranded structure. More complex patterns can be constructed from an arbitrary number of strands to create a wider range of structures (such as a fishtail...

temperature arbitrarily selected by the user of type of fluid and the temperature range the vessel is going to handle. The so-called arbitrary MDMT must...

which he defines in the book. According to Gardner, morality is not an arbitrary social construct, but an eternal truth, taking on different forms but...

violence in the country and called for the immediate release of all arbitrarily detained prisoners, including Win Myint and Aung San Suu Kyi. China,...

AIX (as of version 4), IBM i, and ArcaOS. An RPM package can contain an arbitrary set of files. Most RPM files are "binary RPMs" (or BRPMs) containing the...

M_{2},M_{3}} is called the Steiner inellipse of △ABC. Properties: For an arbitrary triangle △ABC with midpoints M 1 , M 2 , M 3 {\displaystyle M_{1},M_{2}...

instead of direct sunlight or a white point on the Planckian locus is arbitrary. For simplicity, this article will use the term pure white for the D65...

celestial body into two hemispheres, the prime meridian is astronomically arbitrary. For each of Earth's historic prime meridians, various conventions have...

used on CoCalc. SageManifolds deals with differentiable manifolds of arbitrary dimension. The basic objects are tensor fields and not tensor components...

digital oscilloscopes, RF spectrum analyzers, digital multimeters, function/arbitrary waveform generators, digital programmable power supplies, and spectrophotometers...

revolving around the longest printed sentence. Sentences can be made arbitrarily long in various ways. One method is successive iterations, such as "Someone...

relationship between form and meaning is arbitrary. Thus, while Hockett did not account for the possibility of non-arbitrary form-meaning relationships, the principle...

data values, intended for situations where runtime usage patterns are arbitrary, subject to user variation, or otherwise unforeseeable using a fixed design...

Unlike the McNemar test, which can only handle pairs, the CMH test handles arbitrary strata sizes. It is named after William G. Cochran, Nathan Mantel and...

from P to P′ were reckoned from an arbitrary wavefront W containing P  (Fig. 2), that time could be made arbitrarily small by suitably angling the wavefront...

probability distribution of a given random-sample-based statistic. For an arbitrarily large number of samples where each sample, involving multiple observations...

Maxwell equations or the Einstein field equations have the same form in arbitrary frames of reference. A principle is an idea that is taken as fundamentally...

binary gender will be liberatory. Postgenderists argue that gender is an arbitrary and unnecessary limitation on human potential, and foresee the elimination...

lengthwise. As a geographical concept, an imaginary line may serve as an arbitrary division, such as Antarctic Circle Arctic Circle Border International...

new problem. In full generality, algebraic structures may involve an arbitrary collection of operations, including operations that combine more than...

in geography, astronomy, and meteorology. These divisions are somewhat arbitrary; where, on this table, mega- is assigned global scope, it may only apply...

assumption that we have only two objects. Then we generalize to an arbitrary family of arbitrary modules. The key elements of the general construction are more...

above-mentioned vector clock is a generalization of the idea into the context of an arbitrary number of parallel, independent processes. The algorithm follows some...

2015, the UN Working Group on Arbitrary Detention held that al-Hawsawi's ongoing detention in Guantánamo Bay was arbitrary, and in contravention of articles...

recognition, System of the automatic construction of Spellcheckers for arbitrary linear languages, Translation systems with elements of the semantic analysis...

encodes one logical qubit in 7 physical qubits and is able to correct arbitrary single qubit errors. Its check matrix in standard form is [ H 0 0 H ]...

United Nations High Commissioner for Refugees (2011-06-20). "Refworld | Arbitrary detention and judicial harassment of Messrs. Osama Nassar, Mutaz Mourad...

against other players all around Japan. The game can be exploited for arbitrary code execution, allowing owners to run their own homebrew software. Shogi...

equation at an arbitrary point P in terms of the values of the solution and the solution's first-order derivative at all points on an arbitrary closed surface...

conditions, they do not guarantee their absence. Semaphores that allow an arbitrary resource count are called counting semaphores, while semaphores that are...

applying the "arbitrary and capricious" review to rule-making. Motor Vehicles Manufacturers Association v. State Farm (1983) - "arbitrary and capricious"...

convolving a sequence of impulses, known as an input shaper, with any arbitrary command. The shaped command that results from the convolution is then...

powers to search and seizure are limited by the Fourth Amendment so that arbitrary and oppressive interference by enforcement officials with the privacy...

eventually reaches a periodic sequence of six circles, but may take arbitrarily many steps to reach this periodicity. The name may also refer to Miquel's...

*) The IntInf module provides arbitrary-precision integer arithmetic. Moreover, integer literals may be used as arbitrary-precision integers without the...

Manual on the Effective Prevention and Investigation of Extra-Legal, Arbitrary and Summary Executions. It was designed to support the implementation...

distributions that have a mean of zero; the noncentral versions generalize to arbitrary means. For example, the standard (central) chi-squared distribution is...

evaluation/demo editions. These editions generally have many features disabled, arbitrary limits on simulation design size, but are sometimes offered free of charge...

relativity in which the coordinate system can be chosen freely under arbitrary diffeomorphisms of spacetime. Both gauge invariance and diffeomorphism...

are significantly larger than those ordinarily used in everyday life Arbitrary-precision arithmetic, also called bignum arithmetic Big Numbers (comics)...

arrests campaign launched in 2013 Herein disappearance, torture, and arbitrary detention perpetrated. It caused the disappearance of human rights defender...

and navigation, the celestial sphere is an abstract sphere that has an arbitrarily large radius and is concentric to Earth. All objects in the sky can be...

files today. STL files contain no scale information, and the units are arbitrary. STL files describe only the surface geometry of a three-dimensional object...

for a set of quantities, in a case where the choice of sign is arbitrary. "Arbitrary" here means that the same physical system can be correctly described...

are a special case of the Jordan–Pólya numbers, which are products of arbitrary collections of factorials. The n {\displaystyle n} th superfactorial s...

not present a coherent narrative, and includes a number of seemingly arbitrary images. The original accompanying score composed by Paul Hindemith for...

needs – the "answer to a riddle" in his own words – and not simply as an arbitrary truth received from somewhere outside the boundaries of human experience...

1989) is an Ethiopian activist and journalist who has been subjected to arbitrary arrest and detention by Abiy Ahmed administration. She has been arrested...

project planning, a slippage is the act of missing a deadline. It can be an arbitrary milestone put in place to help track progress. To avoid slippage, one...

Director for the Middle East and North Africa, said "The authorities’ arbitrary arrest and torture of Patrick Zaki is yet another example of the state’s...

bus networks. Tree networks are hierarchical, and each node can have an arbitrary number of child nodes. A regular tree network's topology is characterized...

resolution, redirects and DNS rebindings. When servers must send requests to arbitrary external domains or IP addresses, network segregation is recommended to...

abstract state machine (ASM) is a state machine operating on states that are arbitrary data structures (structure in the sense of mathematical logic, that is...

algebraic geometry generalizes the geometry of rings to geometries of arbitrary varieties of algebras, so that every variety of algebras has its own algebraic...

value that has been arbitrarily chosen by tradition and is dependent on the property of particular materials; it is simply less arbitrary than relative "degrees"...

{\displaystyle j_{1}} , j 2 {\displaystyle j_{2}} , j {\displaystyle j} is arbitrary to some degree and has been fixed according to the Condon–Shortley and...

The curve obtained when the set of two fixed points is replaced by an arbitrary, but fixed, finite set of points in the plane is called an n–ellipse and...

the legislative power. Locke says that the legislature cannot govern arbitrarily, cannot levy taxes, or confiscate property without the consent of the...

which cannot be done the usual way. A program used to inject arbitrary code into arbitrary processes is called a DLL injector. There are multiple ways...

BSS machine is a random-access machine with registers that can store arbitrary real numbers and that can compute rational functions over reals in a single...

to: Ipse dixit, a Latin phrase used to identify and describe a sort of arbitrary dogmatic statement Dixit (board game) Dixit Dominus, or Psalm 110, from...

tickless. The Solaris 8 kernel introduced the cyclic subsystem which allows arbitrary resolution timers and tickless operation. FreeBSD 9 introduced a "dynamic...

HiLog is a programming logic with higher-order syntax, which allows arbitrary terms to appear in predicate and function positions. However, the model...

television sets). On digital platforms, such (location) channels are usually arbitrary and changeable, due to virtual channels. A television station is a type...

order to arbitrary semigroups. The most insightful formulation of Mitsch's order is the following. Let a and b be two elements of an arbitrary semigroup...

Kronecker product, sometimes denoted by ⊗, is an operation on two matrices of arbitrary size resulting in a block matrix. It is a specialization of the tensor...

case in which the court held that workers' compensation laws are not arbitrary and do not violate the Due Process Clause. Arizona Employers' Liability...

Thus, the task can be neatly described as finding the eth roots of an arbitrary number, modulo N. For large RSA key sizes (in excess of 1024 bits), no...

trafficking. The United States Department of State has noted arbitrary killings, arbitrary arrests, inhuman and degrading treatment by security forces...

distribution frame, a device which terminates digital data streams, allowing arbitrary interconnections to be made 4,4'-Dinitro-3,3'-diazenofuroxan, an experimental...

tumors. The naming was completely the choice the two students, after an arbitrary nickname for the Doctor. The second D in the name is attributed to Dr...

producing a result called the quotient. It enables computations involving arbitrarily large numbers to be performed by following a series of simple steps....

detention. His case was also discussed by the United Nations Working Group on Arbitrary Detention in relation to the detention of Human Rights League leaders...

; Glisson, A. (May 1982). "Electromagnetic scattering by surfaces of arbitrary shape". IEEE Transactions on Antennas and Propagation. 30 (3): 409–418...

are not necessarily present in the text before it is read, and can be "arbitrary, but useful" in analysis. In hypertext, on the other hand, the division...

used on this page. See also: dimension, basis. Notation. Let F denote an arbitrary field such as the real numbers R or the complex numbers C. The simplest...

International Bar Association’s Human Rights Institute, UN Working Group on Arbitrary Detention, Amnesty International, International Service for Human Rights...

need to be arrested in order to be wrongfully detained. Persons can be arbitrarily or wrongfully detained if they are not allowed to leave a specific jurisdiction...

of the All-Party Parliamentary Group on Arbitrary Detention and Hostage Affairs, which focuses on the arbitrary detention of British citizens overseas...

organization that provides legal assistance pro bono to people subject of arbitrary detentions and their relatives. The organization is composed of regional...

coordinates shows the mean squared distance to be 1. If we are given an arbitrary location at a distance q from the center of the disk, it is also of interest...

volume over time, then almost every initial state will eventually return arbitrarily close to its starting position, and it will do so infinitely many times...

is perpendicular to some surface. Pass the pencil of rays through an arbitrary amount of reflections and refractions, then let it emerge in some other...

family heads, then by individuals. Then the marked person is stoned. In "Arbitrary Condemnation and Sanctioned Violence in Shirley Jackson's 'The Lottery'"...

languages are not mime—in other words, signs are conventional, often arbitrary and do not necessarily have a visual relationship to their referent, much...

characteristics of the light sources being observed. The Doppler effect (with arbitrary direction) also modifies the perceived source intensity: this can be expressed...

criticized the five whys technique for being too basic and having an arbitrarily shallow depth as a root cause analysis tool (see § Criticism). An example...

calculator) is a cross-platform reverse-Polish calculator which supports arbitrary-precision arithmetic. It was written by Lorinda Cherry and Robert Morris...

satisfies some or all of the following conditions ("X" and "Y" range over arbitrary formulas in one free variable): (The implication arrow denotes material...

Prometheus data is organized as named metrics, each optionally qualified by an arbitrary number of key-value label pairs. Labels can identify the data source (server...

usually only locally convergent. An iterative method that converges for an arbitrary initial approximation is called globally convergent. Iterative methods...

and mathematics the notation to represent a physical quantity can be arbitrary, it is generally accepted in the literature, such as the International...

spectrometry software Mask generation function, a function generating an arbitrary number of bits for a given input (for example MGF1 from PKCS 1) This disambiguation...

crashes are exploitable and let a malicious program or hacker execute arbitrary code, allowing the replication of viruses or the acquisition of data which...