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Hemisphere Octant of a sphere Spherical cap Spherical lune Spherical polygon Spherical sector Spherical segment Spherical wedge Spherical zone 3-sphere Affine...

In mathematics, a spherical coordinate system specifies a given point in three-dimensional space by using a distance and two angles as its three coordinates...

The spherical cow is a humorous metaphor for highly simplified scientific models of complex phenomena. Originating in theoretical physics, the metaphor...

scientific fields. The table of spherical harmonics contains a list of common spherical harmonics. Since the spherical harmonics form a complete set of...

Spherical Earth or Earth's curvature refers to the approximation of the figure of the Earth as a sphere. The earliest documented mention of the concept...

Sphericity is a measure of how closely the shape of a physical object resembles that of a perfect sphere. For example, the sphericity of the balls inside...

In optics, spherical aberration is a type of aberration found in optical systems that have elements with spherical surfaces. This phenomenon commonly...

Spherical trigonometry is the branch of spherical geometry and trigonometry that deals with the metrical relationships between the sides and angles of...

solutions are called spherical Bessel functions and are used in spherical systems, such as in solving the Helmholtz equation in spherical coordinates. Bessel's...

In organic chemistry, spherical aromaticity is formally used to describe an unusually stable nature of some spherical compounds such as fullerenes and...

Spherical geometry or spherics (from Ancient Greek σφαιρικά) is the geometry of the two-dimensional surface of a sphere or the n-dimensional surface of...

In quantum mechanics, the spinor spherical harmonics (also known as spin spherical harmonics, spinor harmonics and Pauli spinors) are special functions...

In geometry and coding theory, a spherical code with parameters (n,N,t) is a set of N points on the unit hypersphere in n dimensions for which the dot...

A spherical design, part of combinatorial design theory in mathematics, is a finite set of N points on the d-dimensional unit d-sphere Sd such that the...

non-spherical type are parabolic reflectors, found in optical devices such as reflecting telescopes that need to image distant objects, since spherical mirror...

resurgence as a conspiracy theory in the 21st century. The idea of a spherical Earth appeared in ancient Greek philosophy with Pythagoras (6th century...

geometry, given a reductive algebraic group G and a Borel subgroup B, a spherical variety is a G-variety with an open dense B-orbit. It is sometimes also...

Spherical function can refer to Spherical harmonics Zonal spherical function This disambiguation page lists mathematics articles associated with the same...

specifically, in geometric measure theory — spherical measure σn is the "natural" Borel measure on the n-sphere Sn. Spherical measure is often normalized so that...

article is a list of the largest spherical buildings in the world. In order to qualify for inclusion, the spherical construction for each entry must be...

A spherical bearing is a bearing that permits rotation about a central point in two orthogonal directions (usually within a specified angular limit based...

latitude, as defined in this way for the sphere, is often termed the spherical latitude, to avoid ambiguity with the geodetic latitude and the auxiliary...

In geometry, a spherical cap or spherical dome is a portion of a sphere or of a ball cut off by a plane. It is also a spherical segment of one base, i...

zonal spherical harmonics are special spherical harmonics that are invariant under the rotation through a particular fixed axis. The zonal spherical functions...

In geometry, a spherical polyhedron or spherical tiling is a tiling of the sphere in which the surface is divided or partitioned by great arcs into bounded...

spherical geometry, a spherical circle (often shortened to circle) is the locus of points on a sphere at constant spherical distance (the spherical radius)...

This is a table of orthonormalized spherical harmonics that employ the Condon-Shortley phase up to degree ℓ = 10 {\displaystyle \ell =10} . Some of these...

In mathematics, vector spherical harmonics (VSH) are an extension of the scalar spherical harmonics for use with vector fields. The components of the VSH...

The spherical model is a model of ferromagnetism similar to the Ising model, which was solved in 1952 by T. H. Berlin and M. Kac. It has the remarkable...

In mathematics, a spherical 3-manifold M is a 3-manifold of the form M = S 3 / Γ {\displaystyle M=S^{3}/\Gamma } where Γ {\displaystyle \Gamma } is a...

and their applications, a spherical basis is the basis used to express spherical tensors.[definition needed] The spherical basis closely relates to the...

mathematics, spin-weighted spherical harmonics are generalizations of the standard spherical harmonics and—like the usual spherical harmonics—are functions...

Spherical astronomy, or positional astronomy, is a branch of observational astronomy used to locate astronomical objects on the celestial sphere, as seen...

A spherical roller bearing is a rolling-element bearing that permits rotation with low friction, and permits angular misalignment. Typically these bearings...

Spherical Harmonic is a science fiction novel from the Saga of the Skolian Empire by Catherine Asaro. It tells the story of Dyhianna Selei (Dehya), the...

In geometry, a spherical sector, also known as a spherical cone, is a portion of a ball that is bounded by a spherical cap and the cone that connects...

Mercator as used for small-scale maps. However, the Web Mercator uses the spherical formulas at all scales whereas large-scale Mercator maps normally use...

geometry, spherical linear interpolation, commonly abbreviated slerp, is a function which interpolates between two points on a sphere, such that spherical distance...

geometry, a spherical segment is the solid defined by cutting a sphere or a ball with a pair of parallel planes. It can be thought of as a spherical cap with...

The Five-hundred-meter Aperture Spherical Telescope (FAST; Chinese: 五百米口径球面射电望远镜), nicknamed Tianyan (天眼, lit. "Sky's/Heaven's Eye"), is a radio telescope...

Spherical Objects were a band in the Manchester, UK-based experimental independent post-punk scene of the late 70s (including other more or less experimental...

The great-circle distance, orthodromic distance, or spherical distance is the distance between two points on a sphere, measured along the great-circle...

The roughly spherical shape of Earth can be empirically evidenced by many different types of observation, ranging from ground level, flight, or orbit...

In spherical trigonometry, the law of cosines (or, more specifically, the law of cosines for sides) is a theorem relating the three sides and one of the...

uses the standard notation ISO 80000-2, which supersedes ISO 31-11, for spherical coordinates (other sources may reverse the definitions of θ and φ): The...

The spherical collapse model describes the evolution of nearly homogeneous matter in the early Universe into collapsed virialized structures - dark matter...

Hand with Reflecting Sphere, also known as Self-Portrait in Spherical Mirror, is a lithograph by Dutch artist M. C. Escher, first printed in January 1935...

In mathematics, the spherical mean of a function around a point is the average of all values of that function on a sphere of given radius centered at...

A spherical tokamak is a type of fusion power device based on the tokamak principle. It is notable for its very narrow profile, or aspect ratio. A traditional...

The equivalent spherical diameter of an irregularly shaped object is the diameter of a sphere of equivalent geometric, optical, electrical, aerodynamic...

In mathematics, a zonal spherical function or often just spherical function is a function on a locally compact group G with compact subgroup K (often a...

A spherical cone may mean: a hypercone in 4D a spherical sector in 3D Spherical conic This disambiguation page lists articles associated with the title...

translating and summing spherical waves. Let φ(ξ, η, ζ) be an arbitrary function of three independent variables, and let the spherical wave form F be a delta...

In physics, a spherical pendulum is a higher dimensional analogue of the pendulum. It consists of a mass m moving without friction on the surface of a...

In mathematics, the Plancherel theorem for spherical functions is an important result in the representation theory of semisimple Lie groups, due in its...

In spherical geometry, a spherical lune (or biangle) is an area on a sphere bounded by two half great circles which meet at antipodal points. It is an...

In physics, spherical multipole moments are the coefficients in a series expansion of a potential that varies inversely with the distance R to a source...

Look up spherical in Wiktionary, the free dictionary. Spheric may refer to: An alternate word for spherical Radio atmospheric, a lightning-generated electromagnetic...

Spherical is a 1989 video game published by Rainbow Arts. It was released for the Amiga, Amstrad CPC, Atari ST, Commodore 64 and ZX Spectrum. It is similar...

In mathematics, a field K with an absolute value is called spherically complete if the intersection of every decreasing sequence of balls (in the sense...

A spherical roller thrust bearing is a rolling-element bearing of thrust type that permits rotation with low friction, and permits angular misalignment...

a spherical conic or sphero-conic is a curve on the sphere, the intersection of the sphere with a concentric elliptic cone. It is the spherical analog...

A spherical robot, also known as spherical mobile robot, or ball-shaped robot is a mobile robot with spherical external shape. A spherical robot is typically...

Spherics (sometimes spelled sphaerics or sphaerica) is a term used in the history of mathematics for historical works on spherical geometry, exemplified...

Spherical packing may refer to: Sphere packing Spherical code This disambiguation page lists articles associated with the title Spherical packing. If...

In geometry, a spherical shell (a ball shell) is a generalization of an annulus to three dimensions. It is the region of a ball between two concentric...

The spherical Bernstein's problem is a possible generalization of the original Bernstein's problem in the field of global differential geometry, first...

Spherical wave transformations leave the form of spherical waves as well as the laws of optics and electrodynamics invariant in all inertial frames. They...

class of these are spherical tensor operators which apply the notion of the spherical basis and spherical harmonics. The spherical basis closely relates...

Spherical chess is any of several chess variants played on boards composed of fields arranged on the surface of a sphere. A variant described by Don Miller...

small circle of fixed radius (e.g., 15 degrees angular radius). Sometimes spherical triangles are used.[citation needed] In the first half of the 20th century...

Spherical Tokamak for Energy Production (STEP) is a United Kingdom programme to design and build a prototype fusion power plant based on a spherical tokamak...

tessellation of the real projective plane. These are projective analogs of spherical polyhedra – tessellations of the sphere – and toroidal polyhedra – tessellations...

Spherical Worlds is a shoot 'em up video game developed by 4-Matted and published by Neo Software, released for Amiga platforms in 1996. The game plays...

differential equations) in spherical coordinates. Associated Legendre polynomials play a vital role in the definition of spherical harmonics. These functions...

of a sphere is a spherical triangle with three right angles and three right sides. It is sometimes called a trirectangular (spherical) triangle. It is...

has spherical symmetry in one 3-space, and circular symmetry in the orthogonal direction. An analogous 3-dimensional equivalent term is spherical symmetry...

are known as spherical astrolabe, armilla, or armil) is a model of objects in the sky (on the celestial sphere), consisting of a spherical framework of...

image quality, including spherical aberration, coma, and chromatic aberration. Spherical aberration occurs because spherical surfaces are not the ideal...

In geometry, a spherical wedge or ungula is a portion of a ball bounded by two plane semidisks and a spherical lune (termed the wedge's base). The angle...

mathematics, a spherical category is a pivotal category (a monoidal category with traces) in which left and right traces coincide. Spherical fusion categories...

The National Spherical Torus Experiment (NSTX) is a magnetic fusion device based on the spherical tokamak concept. It was constructed by the Princeton...

In differential geometry, the spherical image of a unit-speed curve is given by taking the curve's tangent vectors as points, all of which must lie on...

(sometimes spelled Hortonsphere), also referred to as a spherical tank or simply sphere, is a spherical pressure vessel, which is used for industrial-scale...

In probability and statistics, a spherical contact distribution function, first contact distribution function, or empty space function is a mathematical...

aberrations. If the mirror is spherical, it will suffer from spherical aberration. If the mirror is made parabolic, to correct the spherical aberration, then it...

Hill's spherical vortex is an exact solution of the Euler equations that is commonly used to model a vortex ring. The solution is also used to model the...

In mapmaking, a quadrilateralized spherical cube, or quad sphere for short, is an equal-area polyhedral map projection and discrete global grid scheme...

reduced so that the cylinder slices through the model globe. Both exist in spherical and ellipsoidal versions. Both projections are conformal, so that the...

morphologies, including filamentous and roughly spherical forms, and have projections from the surface. The spherical virions have a range of diameters, with...

Spherical nucleic acids (SNAs) are nanostructures that consist of a densely packed, highly oriented arrangement of linear nucleic acids in a three-dimensional...

finished TRISO particles are then embedded into a graphite matrix to form spherical or cylindrical fuel elements. Historically, TRISO has been used in high-temperature...

In spherical geometry, Lexell's theorem holds that every spherical triangle with the same surface area on a fixed base has its apex on a small circle...

geometry, Legendre's theorem on spherical triangles, named after Adrien-Marie Legendre, is stated as follows: Let ABC be a spherical triangle on the unit sphere...

is found in sedimentary rock or soil. Concretions are often ovoid or spherical in shape, although irregular shapes also occur. The word concretion is...

{\text{and }}{\bar {R}}=\|{\bar {x}}\|,} A weighted spherical mean can be defined based on spherical linear interpolation. Center of mass Centroid Circular...

607a^{2}\\V&={\frac {125+43{\sqrt {5}}}{4}}a^{3}\approx 55.288a^{3}.\end{aligned}}} The sphericity of a polyhedron Ψ {\displaystyle \Psi } describes how closely a polyhedron...

A geographic coordinate system (GCS) is a spherical or geodetic coordinate system for measuring and communicating positions directly on Earth as latitude...

on Earth or other spherical solar system bodies. In addition it is frequently used in panoramic photography to represent a spherical panoramic image. The...

vector of the vertices of the spherical triangle. Consequently, the result follows. It is easy to see how for small spherical triangles, when the radius...

Compact 21-56 FF — wide-angle compact spherical zoom lens Optimo Ultra Compact 37-102 FF — standard compact spherical zoom lens Optimo Ultra 12x FF/VV, S35...

can be measured by equivalent diameter, the diameter of a circular or spherical approximation to the object. This includes hydraulic diameter, the equivalent...

Brésil was Alberto Santos-Dumont's first spherical balloon. The balloon introduced several innovations in aeronautics and was built for him in France...

is not exactly spherical, mainly because of its rotation around the polar axis that makes its shape slightly oblate. However, a spherical harmonics series...

independent variable. In other coordinate systems, such as cylindrical and spherical coordinates, the Laplacian also has a useful form. Informally, the Laplacian...

trigonometric functions. The book also has a discussion of theorems in spherical trigonometry, usually known as Napier's Rules of Circular Parts. Modern...

Spherical harmonic (SH) lighting is a family of real-time rendering techniques that can produce highly realistic shading and shadowing with comparatively...

A ball is a round object (usually spherical, but sometimes ovoid). Balls can have several uses. For example they are used in ball games, where the play...

These vessels use heavily insulated containment systems, with membrane or spherical tanks, to keep gas in liquid form, reducing its volume 600 times. This...

three-dimensional puzzles have entered large-scale production, including spherical puzzles and architectural recreations. A range of jigsaw puzzle accessories...

In mathematics, the spherical braid group or Hurwitz braid group is a braid group on n strands. In comparison with the usual braid group, it has an additional...

Boulders (officially Moeraki Boulders / Kaihinaki) are unusually large spherical boulders lying along a stretch of Koekohe Beach on the wave-cut Otago...

circle or a spherical view. The results is known as VR photograph (or VR photo), 360-degree photo (or 360° photo), photo sphere (or spherical photo), as...

angles exceeds 180° is called the spherical excess, denoted as E {\textstyle E} or Δ {\textstyle \Delta } . The spherical excess and the area A {\textstyle...

point the projection uniformly scales the image of a small portion of the spherical surface without otherwise distorting it, preserving angles between intersecting...

The fundamental plane in a spherical coordinate system is a plane of reference that divides the sphere into two hemispheres. The geocentric latitude of...

23056°W / 51.65917; -1.23056 Mega Amp Spherical Tokamak (MAST) was a nuclear fusion experiment, testing a spherical tokamak nuclear fusion reactor, and...

images that are blurred due to uncorrected spherical aberration. A soft focus lens deliberately introduces spherical aberration which blurs fine texture in...

any of many ways to map a spherical field of view to a flat image. It is used to encode and deliver the effect of a spherical, 360-degree image to viewers...

multiplied by the anamorphic power of the camera lenses (1× in the case of spherical lenses). Gate dimensions are the width and height of the camera gate aperture...

Because of their mass, these moons are large and ellipsoidal (sometimes spherical) in shape due to hydrostatic equilibrium caused by internal partial melting...

In geometric topology, the spherical space form conjecture (now a theorem) states that a finite group acting on the 3-sphere is conjugate to a group of...

different rates of detonation. In order to convert a spherically expanding wavefront into a spherically converging one using only a single boundary between...

circular cone can be projected onto a sphere from its centre, delineating a spherical cap where the cone intersects the sphere. The magnitude of the solid angle...

field of view. Anamorphic lenses have more complex optics than standard spherical lenses which require more light, and can introduce distinctive distortions...

of a more general formula in spherical trigonometry, the law of haversines, that relates the sides and angles of spherical triangles. The first table of...

In spherical geometry, an n-gonal hosohedron is a tessellation of lunes on a spherical surface, such that each lune shares the same two polar opposite...

properties that make them distinct from other classes of galaxy. They are spherical or ovoid masses of stars, starved of star-making gases. Furthermore, there...

C2. The global spherical shell conjecture claims that all class VII0 surfaces with positive second Betti number have a global spherical shell. The manifolds...

Quantum geometry Riemannian geometry Ruppeiner geometry Solid geometry Spherical geometry Symplectic geometry Synthetic geometry Systolic geometry Taxicab...

quickly rotating antennas. Radomes can be constructed in several shapes – spherical, geodesic, planar, etc. – depending on the particular application, using...

iconic challenge to quantum mechanics theory: how can the prediction of spherically symmetric wave function result in linear tracks seen in a cloud chamber...

setting for spherical analytic geometry instead of spherical polar coordinates or three-dimensional cartesian coordinates. This is the spherical analog of...

Bolwoningen are Dutch spherical houses in the Maaspoort neighborhood of 's-Hertogenbosch, Netherlands. It consists of 50 spherical houses grouped together...

the basis for a spherical spiral: draw a straight line on the map and find its inverse projection on the sphere, a kind of spherical curve. One of the...

\cdot \mathbf {A} } in cylindrical and spherical coordinates are given in the article del in cylindrical and spherical coordinates. Using Einstein notation...

equinox, and it has a right-hand convention. It may be implemented in spherical or rectangular coordinates. The celestial equator and the ecliptic are...

mathematician, physicist, philosopher, and astronomer. Coordinates from a spherical datum can be transformed into Lambert conformal conic projection coordinates...

equation can be derived as a special case of the spherical law of cosines that applies to all spherical triangles: cos ⁡ c R = cos ⁡ a R cos ⁡ b R + sin...

projection, as well as the projection's characteristics. Coordinates from a spherical datum can be transformed into Albers equal-area conic projection coordinates...

A pellet is a non-spherical projectile designed to be fired from an air gun, and an airgun that fires such pellets is commonly known as a pellet gun....

Seiffert's spherical spiral is a curve on a sphere made by moving on the sphere with constant speed and angular velocity with respect to a fixed diameter...

cross section, are fluted along their length, and have tabular vesicles. Spherical bombs also form from high to moderately fluid magma, when surface tension...

equation—relying on the spherical coordinate system, which generally works best with models having sufficient aspects of spherical symmetry. An electron's...

assuming sphericity. ^ Volume V derived from the radius using V = 4 3 π r 3 {\textstyle V={\frac {4}{3}}\pi r^{3}} , assuming sphericity. ^ Density...

spherical cube represents the spherical polyhedron, which can be modeled with the arcs of great circles, creating bounds as the edges of a spherical square...

astrology, navigation, surveying, timekeeping, prayer, Salat, Qibla, etc. The spherical astrolabe was a variation of both the astrolabe and the armillary sphere...

Russian submarine Losharik is able to dive over 2000 m with its multi-spherical hull. Saddle tank (submarine) Semi-submersible Tom Chaffin (2010). The...

radiometric quantities radiant intensity and radiance Calculating spherical excess E of a spherical triangle The calculation of potentials by using the boundary...

transformations Vector fields in cylindrical and spherical coordinates Del in cylindrical and spherical coordinates Krafft, C.; Volokitin, A. S. (1 January...

Laplace equation, and can be expanded in a series of solid spherical harmonics in spherical coordinates. As a result, the solution to the Stokes equations...

In an automobile, ball joints are spherical bearings that connect the control arms to the steering knuckles, and are used on virtually every automobile...

a function that depends on angles—usually the two angles used in the spherical coordinate system (the polar and azimuthal angles) for three-dimensional...

light is used. The most common monochromatic aberrations are: Defocus Spherical aberration Coma Astigmatism Field curvature Image distortion Although...

horizontal take on yet another meaning. On the surface of a smoothly spherical, homogenous, non-rotating planet, the plumb bob picks out as vertical...

Mexican husk tomato, is a plant of the nightshade family bearing small, spherical, and green or green-purple fruit. Tomatillos originated in Mexico and...

Spherical neutron polarimetry (SNP) is a form of neutron polarimetry that measures the polarization of neutrons both before and after scattering. It uses...

hold. Instead, as in spherical geometry, there are no parallel lines since any two lines must intersect. However, unlike in spherical geometry, two lines...

are apparently orders of magnitude more difficult than for a spherical primary. A spherically symmetric simulation is one-dimensional, while an axially symmetric...

bomb (also known as a globe salute or kraft salute) is an approximately spherical exploding firework, roughly resembling a cherry in size and shape (with...

figure at right), and the other one is usually spherical. Such a lens behaves like a combination of a spherical lens and a cylindrical lens. Toric lenses are...

Still Life with Spherical Mirror is a lithography print by the Dutch artist M. C. Escher first printed in November 1934. It depicts a setting with rounded...

ball is the ball used in the sport of association football. The ball's spherical shape, as well as its size, mass, and material composition, are specified...

diagnosed in Peripheral blood film by seeing spherical red blood cells rather than biconcave. Because spherical red blood cells are more prone to lysis in...

based on multiple confirming lines of evidence that Earth is roughly spherical. Flat Earth beliefs are classified by experts in philosophy and physics...

Earth projection include: The curved sides of the projection suggest the spherical form of Earth. Straight parallels make it easy to compare how far north...

corrector plate to make a compact astronomical instrument that uses simple spherical surfaces. The American astronomer and lens designer James Gilbert Baker...

SUNIST (or Sino-UNIted Spherical Tokamak) is a small spherical tokamak in the Department of Engineering Physics of Tsinghua University, Beijing, China...

manufacture. Spherical roller thrust bearings use asymmetrical rollers of spherical shape, rolling inside a house washer with a raceway with spherical inner...

combines a spherical mirror with a weakly negative meniscus lens in a design that takes advantage of all the surfaces being nearly "spherically symmetrical"...

heads face outward, creating spherical or other-shaped micelles. Although micelles are often depicted as being spherical, they can be cylindrical or oblate...

of being part of a larger conspiracy to promote the spherical Earth model. Earth's roughly spherical shape was established by Hellenistic astronomy in the...

spaces are in (typically) three dimensions, then the use of cylindrical or spherical coordinates to represent the position of objects in this space is useful...

Although these viruses are often referred to as 'spherical', they do not show true mathematical spherical symmetry. In the early 20th century, Ernst Haeckel...

In quantum mechanics, a particle in a spherically symmetric potential is a system where a particle's potential energy depends only on its distance from...

astrophysicist Karl Schwarzschild set out to apply the idea to stars. He assumed spherical symmetry with no spin and found a solution to Einstein's equations. A...

The Spherics (Greek: τὰ σφαιρικά, tà sphairiká) is a three-volume treatise on spherical geometry written by the Hellenistic mathematician Theodosius of...

symmetry, C6 symmetry, order 6. The hexagonal trapezohedron also exists as a spherical tiling, with 2 vertices on the poles, and alternating vertices equally...

and let a, b, c be the respective lengths of the opposite sides. The spherical law of tangents says tan ⁡ 1 2 ( A − B ) tan ⁡ 1 2 ( A + B ) = tan ⁡ 1...

assumptions to the form stated above. A further generalization to non-spherical errors was given by Alexander Aitken. Suppose we are given two random...

In four-dimensional geometry, the spherinder, or spherical cylinder or spherical prism, is a geometric object, defined as the Cartesian product of a 3-ball...

from obstruction by intervening objects. The geometric horizon assumes a spherical earth. The true horizon takes into account the fact that the earth is...

termed Legendre wavelets or spherical harmonic wavelets. Legendre functions have widespread applications in which spherical coordinate system is appropriate...

(c. 417 BC – 369 BC) Autolycus of Pitane (360–c. 290 BC) – astronomy, spherical geometry Euclid (fl. 300 BC) – Elements, Euclidean geometry (sometimes...

)\\z&=z_{0}+r\cos \theta \end{aligned}}} which give rise to the name spherical product. Barr uses the spherical product to define quadric surfaces, like ellipsoids, and...

Greek βαθύς (bathús) 'deep' and σφαῖρα (sphaîra) 'sphere') was a unique spherical deep-sea submersible which was unpowered and lowered into the ocean on...

feet (112 m) high and 516 feet (157 m) wide; it would be the largest spherical building on Earth, if it were not a geodesic dome. The arena cost $2.3...

(or 360° video), also known as surround video, or immersive video or spherical video, is a video recording where a view in all directions is recorded...

architect Hajime Narukawa in 1999. The map is made by equally dividing a spherical surface into 96 triangles, transferring it to a tetrahedron while maintaining...

work on invariant theory of ternary forms (1889) and for the study of spherical trigonometry. He is also known for contributions to space geometry, hypercomplex...

Sprouted coconuts, also referred to as coconut sprouts, are the edible spherical sponge-like cotyledons of germinating coconuts. They have a crunchy watery...

is an optical device used in the testing of large aspheric mirrors. A spherical mirror of any size can be tested relatively easily using standard optical...

Joint Mechanism With Three-DoF Based on Spherical Gear Meshings) is a ball joint system which uses a cross-spherical gear in conjunction with a monopole gear...

have spherical lengths α i , j , α i , k , α i , l {\displaystyle \alpha _{i,j},\alpha _{i,k},\alpha _{i,l}} and the respective opposite spherical angles...

ice, adhering to the outermost layer. The outermost layer is a solid spherical shell made of light elements such as plastic, beryllium, or diamond (called...

Chicken balls are a food consisting of small, spherical or nearly spherical pieces of chicken. They are prepared and eaten in several different cuisines...

needed] Vector representations include Cartesian, polar, cylindrical, and spherical coordinates. In 1835 Giusto Bellavitis introduced the idea of equipollent...

reduced so that the cylinder slices through the model globe. Both exist in spherical and ellipsoidal versions. Both projections are conformal, so that the...

homogeneous sphere. The solution takes the form of an infinite series of spherical multipole partial waves. It is named after German physicist Gustav Mie...

plane can only radiate a perfect uniform-amplitude, spherical wave — a wave having perfectly spherical, outward travelling phase fronts with uniform intensity...

associate a simplicial complex Δ = Δ(G) with an action of G, called the spherical building of G. The group G imposes very strong combinatorial regularity...

specify the positions of celestial objects. It may be implemented in spherical or rectangular coordinates, both defined by an origin at the centre of...

Raffaello is a spherical coconut–almond truffle that Italian manufacturer Ferrero brought to the market in 1990. It consists of a spherical wafer that is...

radius 1. Denote by L the length of C and by A the area enclosed by C. The spherical isoperimetric inequality states that L 2 ≥ A ( 4 π − A ) , {\displaystyle...

-particle emission in a cloud chamber. The emission process is isotropic, a spherical wave in quantum mechanics, but the tracks observed are linear. As Mott...

This article lists the regular polytopes in Euclidean, spherical and hyperbolic spaces. This table shows a summary of regular polytope counts by rank...

source of spherical wavelets and that the secondary wavelets emanating from different points mutually interfere. The sum of these spherical wavelets forms...

Gaia is a 2018 inflatable installation artwork by Luke Jerram. It is a spherical replica of the Earth, with a diameter of 7 metres (23 ft), and named after...

cubic honeycomb. The tetrahedron can also be represented as a spherical tiling (of spherical triangles), and projected onto the plane via a stereographic...

and a stationary ring seat in a generally spherical body. The globe valve is named for its historical spherical internal body shape, with the two halves...

A galactic halo is an extended, roughly spherical component of a galaxy which extends beyond the main, visible component. Several distinct components...

Mauchly's sphericity test or Mauchly's W is a statistical test used to validate a repeated measures analysis of variance (ANOVA). It was developed in 1940...

radius – Radius of a circle or sphere equivalent to a non-circular or non-spherical objectPages displaying short descriptions of redirect targets The Greek...

degenerate, collapsing to a line segment between the two vertices. In spherical geometry, however, non-degenerate digons can exist. Two distinct points...

around a spherical body (e.g., a planet or a moon). Here we compute the tidal tensor for the gravitational field outside an isolated spherically symmetric...

concentric spherical shells around a fixed point. An example is the gimbaled gyroscope. These devices are called spherical mechanisms. Spherical mechanisms...

space. The spherical octahedron represents a regular octahedron projected to a sphere, a part of spherical polyhedron. There are eight spherical triangles...

This species was categorized in the genus Cyclospora because of the spherical shape of its sporocysts. The specific name refers to the Cayetano Heredia...

Dum Dums (stylized as Dum•Dums) are an American brand of spherical lollipops. Dum Dums originated from Akron Candy Company in Akron, Ohio, in 1924. I...

point may all be parallel to another line.[further explanation needed] In spherical and elliptic geometries, every pair of lines intersects, while in hyperbolic...

{\displaystyle \mathbb {R} ^{3}} to S 2 {\displaystyle \mathbb {S} ^{2}} . Using spherical coordinates ( θ , ϕ ) {\displaystyle (\theta ,\phi )} , on S 2 {\displaystyle...

propellant (trademarked as Ball Powder by Olin Corporation and marketed as spherical powder by Hodgdon Powder Company) is a form of nitrocellulose used in...

SO(3) group can be defined simply in terms of integrals of products of spherical harmonics and their complex conjugates. The addition of spins in quantum-mechanical...

charge a uniformly distributed spherical shell of charge any other charge distribution with spherical symmetry The spherical Gaussian surface is chosen so...

array technology for beamforming, most USCT systems utilize unfocused spherical waves for imaging. Most USCT systems aiming for 3D-imaging, either by...

their needs. Furthermore, there was no widely accepted formulation of spherical harmonics for acoustics, so one was borrowed from chemistry, quantum mechanics...

This represents the power per unit area of solar irradiance across the spherical surface surrounding the Sun with a radius equal to the distance to the...

\mathbf {z} =\cos R} . We can also measure the area of the spherical disk enclosed within a spherical circle, using the intrinsic surface area measure on the...

gravitational simplifications that can be applied to objects inside or outside a spherically symmetric body. This theorem has particular application to astronomy...

Finite spherical symmetry groups are also called point groups in three dimensions. There are five fundamental symmetry classes which have triangular fundamental...

trajectory. The rigid-body Roche limit is a simplified calculation for a spherical satellite. Irregular shapes such as those of tidal deformation on the...

point in three-dimensional space include cylindrical coordinates and spherical coordinates, though there are an infinite number of possible methods....

crystals are rare, and it normally occurs as translucent green radial or spherical clusters. Wavellite was first described in 1805 for an occurrence at High...

is a track and field event involving "putting" (or throwing) a heavy spherical ball—the shot—as far as possible. For men, the sport has been a part of...

space, it is degenerate if its faces are flat, while in three-dimensional spherical space, a dihedron with flat faces can be thought of as a lens, an example...

maintaining the holding power of the nut. A self-aligning nut, also known as a spherical nut or leveling nut, is a type of nut used in applications where the fastener...

freedom. An example of a simple closed chain is the RSSR (revolute-spherical-spherical-revolute) spatial four-bar linkage. The sum of the freedom of these...

vajra consists of a round, symmetrical metal scepter with two ribbed spherical heads. The ribs may meet in a ball-shaped top, or they may be separate...

In biochemistry, globular proteins or spheroproteins are spherical ("globe-like") proteins and are one of the common protein types (the others being fibrous...

officially the Republic of Kugelmugel (German: Republik Kugelmugel), is a spherical art object located in Vienna, Austria. It came about as the result of...

Specifically, the hole has the shape of a right circular cylinder (with two spherical caps) whose axis goes through the center of the sphere. Removing the "hole"...

spherical-shaped, altazimuth mount gun turret, fitted to some American-built aircraft during World War II. The name arose from the turret's spherical...

generalized to three-dimensional space through the use of cylindrical or spherical coordinates. In cylindrical coordinates, every point of space is represented...

vertically up to a full sphere (1 spat), in which case it is also known as a spherical camera. Omnidirectional cameras are important in applications where large...

an optical lens in the shape of a sphere. Formally, it is a bi-convex spherical lens with the same radius of curvature on both sides, and diameter equal...

Rayleigh expansion expresses a plane wave as a linear combination of spherical waves: e i k ⋅ r = ∑ ℓ = 0 ∞ ( 2 ℓ + 1 ) i ℓ j ℓ ( k r ) P ℓ ( k ^ ⋅ r...

efficient method must be used to encode this data, such as spherical harmonics. When spherical harmonics are used to approximate the light transport function...

molybdenum blue. His later research related mainly to the synthesis of spherical porous metal oxide nanocapsules Mo132 Keplerates. He also investigated...

the muscles of the hand. Despite the name, many stress balls are not spherical. Some are molded in amusing shapes, and pad- or transfer-printed with...

due to a negative sign in the linear transformation between them. The spherical scoring rule is also a strictly proper scoring rule S ( p , i ) = p i...

titanate glass). The spherical aberration problem with the spherical cat's eye can be solved in various ways, one being a spherically symmetrical index gradient...

special case of it defined in terms of the asymptotic behavior of a zonal spherical function of a Lie group, and Harish-Chandra (1970) introduced a more general...

have implications for a nucleonic nuclear structure. A surprising non-spherical expectation for the shape of the nucleus originated in 1939 in the spectroscopic...

The induced representations of such ρ make up the principal series. The spherical principal series consists of representations induced from 1-dimensional...

Ball, ball, or balls in Wiktionary, the free dictionary. A ball is a spherical round object with various uses. Ball(s) or The Ball may also refer to:...

two are structural proteins embedded in the envelope. Virions are quasi-spherical, slightly pleomorphic, enveloped and about 80 nm (range 50–125 nm) in...

boh-OH-teez) (colloquially referred to as the Great Nothing) is a roughly spherical region of space in the vicinity of the constellation Boötes. It contains...

animations). The solid angle subtended by an octant of a sphere (the spherical triangle with three right angles) equals π/2  sr. Wikimedia Commons has...

In the mathematical field of graph theory, the sphericity of a graph is a graph invariant defined to be the smallest dimension of Euclidean space required...

correct spherical aberration in image-forming optical systems such as catadioptric telescopes. It works by having the equal but opposite spherical aberration...

observatory's main instrument was the Arecibo Telescope, a 305 m (1,000 ft) spherical reflector dish built into a natural sinkhole, with a cable-mount steerable...

law gives the frictional force – also called drag force – exerted on spherical objects moving at very small Reynolds numbers in a viscous fluid. It was...

sphere with the same perimeter, area, or volume of a non-circular or non-spherical object. The equivalent diameter (or mean diameter) ( D {\displaystyle...

depends on application, including the precision needed for the model. A spherical Earth is a well-known historical approximation that is satisfactory for...

that direction together with the wave. For a sinusoidal spherical wave, the wavefronts are spherical surfaces that expand with it. If the speed of propagation...

A BB gun is a type of air gun that fires metallic spherical projectiles called BBs (not to be confused with similar-looking ball bearings), which are...

Rice tungro spherical virus (RTSV) is a plant pathogenic virus of the family Secoviridae. RTSV causes mild symptoms by itself, but in the presence of...

connected Riemann surface can be given one of three geometries (Euclidean, spherical, or hyperbolic). In three dimensions, it is not always possible to assign...

astronomer and mathematician from Bithynia who wrote the Spherics, a treatise about spherical geometry, as well as several other books on mathematics and...

The Bond albedo (also called spheric albedo, planetary albedo, and bolometric albedo), named after the American astronomer George Phillips Bond (1825–1865)...

galactic coordinate system (GCS) is a celestial coordinate system in spherical coordinates, with the Sun as its center, the primary direction aligned...

A marble is a small spherical object often made from glass, clay, steel, plastic, or agate. These toys can be used for a variety of games called marbles...

numbers in base 10 are 0, 8, 88, 688, 4688... A trimorphic number or spherical number occurs when the polynomial function is f ( x ) = x 3 {\displaystyle...

in transforming polyhedra. A spherical lune is a digon whose two vertices are antipodal points on the sphere. A spherical polyhedron constructed from such...

{\Gamma }{4\pi R}}\left(\ln {\frac {8R}{a}}-{\frac {1}{4}}\right)} Hill's spherical vortex is an example of steady vortex flow and may be used to model vortex...

Chief Scientist and the Chief Engineer of the Five hundred meter Aperture Spherical Telescope (FAST) in China. He was an IAU member, where he was the Vice-President...

war. Tsonga clubs were also similar to the Zulu and Ndebele type with spherical heads but variants with more elongated oval heads were also used in what...

muisjes". In Australia and New Zealand, as well as South Africa and the UK, spherical nonpareils are known as "hundreds-and-thousands". In Australia and New...

fragmentation matrix inside the grenade is commonly used, which may be spherical, cuboid, wire, or notched wire. Most anti-personnel (AP) grenades are...

heavens being a physical dome spanning over it. Early arguments for a spherical Earth pointed to various more subtle empirical observations, including...

In geometry, the 31 great circles of the spherical icosahedron is an arrangement of 31 great circles in icosahedral symmetry. It was first identified...

ridges. In places with more vigorous wave action, this coral may form spherical colonies. The colour of this coral is usually pale brown, reddish-brown...

Google book. Spherical trigonometry on Math World. Intro to Spherical Trig. Includes discussion of The Napier circle and Napier's rules Spherical Trigonometry...

the globe. The great circle path may be found using spherical trigonometry; this is the spherical version of the inverse geodetic problem. If a navigator...

in the center. The resulting tesselation has 4 × 6=24 spherical triangles (it is the spherical disdyakis cube). These groups are finite, which corresponds...

constant value ψ of the Stokes stream function, is equal to 2π ψ. In spherical coordinates ( r , θ , φ ), r is the radial distance from the origin, θ...

plane wave travelling along the axis into a spherical wave converging toward the focus. Conversely, a spherical wave generated by a point source placed in...

planetary precession being roughly 1/100 that of the celestial equator. Spherical coordinates, known as ecliptic longitude and latitude or celestial longitude...

this telescope design, a spherical primary mirror is combined with a Schmidt corrector plate, which corrects the spherical aberration and holds the secondary...

achromat is a lens that is designed to limit the effects of chromatic and spherical aberration. Achromatic lenses are corrected to bring two wavelengths (typically...

was a spherical retarding potential instrument from which ion mass spectra and ion temperatures could be determined. It consisted of a spherical inner...

levitation of 1-3mm diameter spherical samples without the need for active control mechanisms. These systems allow spherical samples to be levitated by...

In physics, spherically symmetric spacetimes are commonly used to obtain analytic and numerical solutions to Einstein's field equations in the presence...

geometry to include it in the now rarely used sequence elliptic geometry (spherical geometry), parabolic geometry (Euclidean geometry), and hyperbolic geometry...

The Book on the Measurement of Plane and Spherical Figures (Arabic: كتاب معرفة مساحة الأشكال البسيطة والكريّة, Kitāb maʿrifah masāḥat al-ashkāl al-basīṭah...

field equations of general relativity, for the limited case of a single spherical non-rotating mass, which he accomplished in 1915, the same year that Einstein...

spheres of amorphous silicon dioxide, SiO2 (see above illustration). The spherical particles precipitate in highly siliceous pools and form highly ordered...

structure having a long-ranged positional (translational) order. For example, spherical micelles a cubic packing of a body-centered cubic lattice. Normal topology...

geometry. Absolute geometry is inconsistent with elliptic geometry or spherical geometry: the notion of ordering or betweenness of points on lines, used...

al-ashkāl al-basīṭah wa-al-kuriyyah ("Book on the Measurement of Plane and Spherical Figures"), which was used extensively by medieval mathematicians. Their...

algebra and multilinear algebra. The field has its origins in the study of spherical geometry as far back as antiquity. It also relates to astronomy, the geodesy...

^{2}f}{\partial \phi ^{2}}}+{\frac {\partial ^{2}f}{\partial z^{2}}}=0.} In spherical coordinates, using the ( r , θ , φ ) {\displaystyle (r,\theta ,\varphi...

edges of spherical triangle. Identified by R. Buckminster Fuller, there are 31 great circles in a spherical icosahedron. Its dual is the spherical dodecahedron...

rotational spectroscopy, molecules are classified according to symmetry into spherical tops, linear molecules, and symmetric tops; analytical expressions can...

mathematics, the solid harmonics are solutions of the Laplace equation in spherical polar coordinates, assumed to be (smooth) functions R 3 → C {\displaystyle...

A closely related theorem of Segre (1968) also concerns simple closed spherical curves, on spheres embedded into three-dimensional space. If, for such...

joints with intersecting axes ("spherical wrist"). These robots, known as robots with an "Ortho-parallel Basis and a Spherical Wrist," can be defined by 7...

A cave pearl is a small, usually spherical, speleothem (cave formation) found in limestone caves. Cave pearls are formed by a concretion of calcium salts...

considered horizontal), longitudinal position, or axial position. In a spherical coordinate system, the radius describes the distance of a point from a...

Catalogue] by Ibn al-Nadīm, six books by Menelaus are mentioned: the Book of Spherical Propositions (Sphaerica), On the Knowledge of the Weights and Distribution...

parallel planes, and the assembly is called a planar four-bar linkage. Spherical and spatial four-bar linkages also exist and are used in practice. Planar...

Philip Vaughan of Carmarthen, Wales. This is the first design seen with a spherical object moving through a groove. 1869 - Jules Suriray receives the first...

The navigational triangle or PZX triangle is a spherical triangle used in astronavigation to determine the observer's position on the globe. It is composed...

dodecahedron. The edges of a spherical disdyakis dodecahedron belong to 9 great circles. Three of them form a spherical octahedron (gray in the images...

Cylindrical Grinder, the Heim Joint Rod End Bearing and a pioneer of modern spherical, ball and roller bearings. Heim was a self-taught machinist with an ability...

published as a preprint in 1998. The HEALPix projection is a general class of spherical projections, sharing several key properties, which map the 2-sphere to...

In geometry, a hypercone (or spherical cone) is the figure in the 4-dimensional Euclidean space represented by the equation x 2 + y 2 + z 2 − w 2 = 0...

the scattering amplitude is the probability amplitude of the outgoing spherical wave relative to the incoming plane wave in a stationary-state scattering...

variation on the annular preventer known as a spherical blowout preventer, so-named because of its spherical-faced head.[better source needed] When wells...

circumcenter and the point where the diagonals intersect. In spherical geometry, a spherical quadrilateral formed from four intersecting greater circles...

consider configurations of N points on a sphere of higher dimension. See spherical design. Several algorithms have been applied to this problem. The focus...

sphericity in a repeated measures ANOVA. The correction functions as both an estimate of epsilon (sphericity) and a correction for lack of sphericity...

Coxeter planes. The rhombicosidodecahedron can also be represented as a spherical tiling, and projected onto the plane via a stereographic projection. This...

Orthorubulavirus Genus: Pararubulavirus Rubulavirions are enveloped, with spherical geometries. The diameter is around 150 nm. Rubulavirus genomes are linear...

field it generally threw a Jam Tin Grenade, No. 15 Ball grenade, No. 21 "Spherical" grenade or No. 28 chemical grenade, equipped with a slightly longer fuse...

orthographic projection in astronomy and planetary science. The formulas for the spherical orthographic projection are derived using trigonometry. They are written...

the law of reflection, and was also the first to describe the horopter, spherical aberration, color constancy, and unconscious inference. Ibn al-Haytham...

first divides point groups into three kinds: asymmetric, symmetric and spherical tops. These are categories based on the angular momentum of molecules...

Struycken is an avid photographer. He maintains a website devoted to his spherical panoramas and shares a photography blog with Josh Korwin. He and his wife...

Spherical surface acoustic wave sensors use a type of surface acoustic wave (SAW) that travels along the surface of a medium exhibiting elasticity with...

Bernhard Schmidt in 1930. Its optical components are an easy-to-make spherical primary mirror, and an aspherical correcting lens, known as a Schmidt...

It was developed by Laurence Patrick Lee in 1965. Coordinates from a spherical datum can be transformed into Lee conformal projection coordinates with...

of the genus Staphylococcus, consisting of Gram-positive bacteria with spherical cells that appear in clusters. This species was first described in 1988...

interaural time and level sensitivities (respectively). Small spherical Small spherical bushy cells likely project to the ipsilateral lateral superior...

spherical aberration, coma and trefoil are of clinical interest.[citation needed] Spherical aberration clinically refers to a fourth-order spherical aberration...

A snowball is a spherical object made from snow, usually created by scooping snow with the hands and pressing the snow together to compact it into a ball...

particularly in domestic cattle, resulting in the formation of an approximately spherical structure covered with hairy skin. An amorphous globosus contains parts...

virtually identical to Todd-AO. Monikered as Super Panavision 70, it used spherical lenses and the same 2.2:1 aspect ratio at 24 frames per second. Panavision...

of continuing to prosecute the war" Barnes Wallis's April 1942 paper "Spherical Bomb – Surface Torpedo" described a method of attack in which a weapon...

Æbleskiver (Danish pronunciation: [ˈeːpləˌskiːwɐ], [singular: æbleskive]) are spherical Danish snacks made from fried batter. The name literally means "apple...

to failed attempts to create a spherical shape. In 1928, Hoffman and Company of Chicago tried to manufacture a spherical, chocolate-covered caramel candy...

A follicle is a small, spherical or vase-like group of cells enclosing a cavity in which some other structure grows or other material is contained. Thyroid...

the planar law of cosines from plane trigonometry, or the spherical law of cosines in spherical trigonometry. It can also be related to the relativistic...

On motivic spherical bundles Is it true that all sphere bundles are boundaries of disk bundles? https://ncatlab.org/nlab/show/spherical+fibration v t...

}{\partial \varphi }}=\mathbf {0} .} The unit vectors appropriate to spherical symmetry are: r ^ {\displaystyle \mathbf {\hat {r}} } , the direction...

observing location. The celestial sphere is a conceptual tool used in spherical astronomy to specify the position of an object in the sky without consideration...

continuous varieties, in one, two, and three dimensions, in Cartesian and spherical geometry, on surfaces and in volumes, on graphs, and in scalar, vector...

theorem), and diverge on both sides of this common perpendicular. In spherical geometry, all geodesics are great circles. Great circles divide the sphere...

triangle. The projection is used in the polar areas as part of the HEALPix spherical projection, which is widely used in physical cosmology in making maps...

definitions of a polygon in Euclidean geometry do not admit the monogon. In spherical geometry, a monogon can be constructed as a vertex on a great circle (equator)...

as globe thistles. They have spiny foliage and produce blue or white spherical flower heads. They are distributed from central Asia, Mongolia and north-eastern...

three "straight" segments also determine a "triangle", for instance, a spherical triangle or hyperbolic triangle. A geodesic triangle is a region of a...

homogeneous mass distribution is highly symmetric. Rewriting the metric in spherical coordinates reduces four coordinates to three coordinates. The radial...

(81 g) conical bullet at around 1,500 ft/s (460 m/s) or an 860 gr (56 g) spherical ball at around 1,650 ft/s (500 m/s), both with 10 to 12 drams (17.72 to...

Let (x, y, z) be the standard Cartesian coordinates, and (ρ, θ, φ) the spherical coordinates, with θ the angle measured away from the +Z axis (as illustrated)...

cylindrical coordinate system adds a second distance coordinate, and the spherical coordinate system adds a second angular coordinate. Grégoire de Saint-Vincent...

considering polyhedra as a spherical tiling, this restriction may be relaxed, since digons (2-gons) can be represented as spherical lunes, having non-zero...

a sphere, which is considered "the first treatise on spherical trigonometry", although spherical trigonometry in its ancient Hellenistic form was dealt...

abstractions for the surface between two geographic points are: Flat surface; Spherical surface; Ellipsoidal surface. All abstractions above ignore changes in...

formation within sedimentary and volcanic rocks. Geodes are hollow, vaguely spherical rocks, in which masses of mineral matter (which may include crystals)...

A higher oxidation state leads to a larger splitting relative to the spherical field. the arrangement of the ligands around the metal ion. the coordination...

VirtuSphere is a spherical virtual reality device. It consists of a 10-foot hollow sphere, which is placed on a special platform that allows the sphere...

example, the Ritchey–Chrétien design); and either or both mirrors may be spherical or elliptical for ease of manufacturing. The Cassegrain reflector is named...

century) and Johannes de Muris (14th century). Something equivalent to the spherical law of cosines was used (but not stated in general) by al-Khwārizmī (9th...

constraints that are imposed by joints connecting these bodies. Imagine a spherical seagull. A single unconstrained body soaring in 3-space has 6 degrees...

that are spherical in shape, but they are not produced consistently even when conditions are unfavorable for survival. The oogonia are spherical to ovoid...

rifle chamber smaller than the bore, with which it was connected by a spherical surface equal in radius to the ball used. The powder was poured from the...

National Geospatial Information Authorities (NGIAs) in the world Globe – spherical models of Earth International Map of the World – an international project...

Tolman–Oppenheimer–Volkoff (TOV) equation constrains the structure of a spherically symmetric body of isotropic material which is in static gravitational...

A polyhedral map projection is a map projection based on a spherical polyhedron. Typically, the polyhedron is overlaid on the globe, and each face of...

Laddu, or laddoo, is a spherical sweet from the Indian subcontinent made of various ingredients and sugar syrup or jaggery. It has been described as "perhaps...

(1843) with A. linnaei as the type species based on its formation of spherical aggregations, but all the Aegagropila species were transferred to subgenus...

the founder of Geffen Records, and future co-founder of DreamWorks. The spherical Geffen Pictures logo, based on the logo of its record-label counterpart...

Kaaba, and allows the exact calculation (hisab) of the qibla using a spherical trigonometric formula that takes the coordinates of a location and of...

relativistic wavelength of the electron wave, C s {\displaystyle C_{s}} = The spherical aberration of the objective lens The contrast transfer function can also...

observer's local horizon as the fundamental plane to define two angles of a spherical coordinate system: altitude and azimuth. Therefore, the horizontal coordinate...

any microorganism (usually bacteria) whose overall shape is spherical or nearly spherical. Coccus refers to the shape of the bacteria and can contain...

many different types of implants, classification ranging from shape (spherical vs egg (oval) shaped), stock vs custom, porous vs nonporous, specific...

the Weyl identity or angular spectrum expansion, expresses an outgoing spherical wave as a linear combination of plane waves. In a Cartesian coordinate...

the measure of distance on the ellipsoid surface as a function of the spherical coordinate system. Recall that the purpose of Tissot's indicatrix is to...

rings. A juggling ball refers to any juggling object that is roughly spherical in nature. Beanbags The most common type of juggling ball. Juggling beanbags...

and ball describes cap-lock firearms discharging a single bore-diameter spherical bullet with each shot. The percussion cap is a small cylinder of copper...

with no distinguishable odor. The mushroom is inedible. The spores are spherical to egg-shaped, drawn into an apiculus at the base, pale rust colored and...

The Spherical Tokamak Experiment (Portuguese: ETE - Experimento Tokamak Esférico) is a machine dedicated to plasma studies in low aspect ratio tokamaks...

confinement to hold plasma. START was the first full-sized machine to use the spherical tokamak design, which aimed to greatly reduce the aspect ratio of the...

Respirovirus rupicaprae Respirovirus suis Respirovirions are enveloped, with spherical geometries. The diameter is around 150 nm. Respirovirus genomes are linear...

Embargo is an album by Loz Speyer as Loz Speyer's Time Zone, released on Spherical in 2019. Accompanying Speyer are Martin Hathaway, Maurizio Ravalico, Dave...

refer to: The globe, an alternative name for Earth Any other spherical or roughly spherical object, such as a crystal ball Globe Building (disambiguation)...

Varicellovirus Viruses in Alphaherpesvirinae are enveloped, with icosahedral, spherical to pleomorphic, and round geometries, and T=16 symmetry. The diameter...

repraesentatione superficiei sphaericae super plano" [On the representation of spherical surfaces on a plane]. Acta Academiae Scientarum Imperialis Petropolitinae...

Prairie Flat was a test involving the detonation of a 500-short-ton (450 t) spherical surface charge of TNT to evaluate airblast, ground shock and thermal effects...

refractive index than the air. In general, the lens is not spherical. Spherical lenses produce spherical aberration. In refractive corneas, the lens tissue is...

because of a high rotation speed from the YORP effect. Assume a rotating spherical asteroid has two wedge-shaped fins attached to its equator, irradiated...

attacker's approach difficult and hazardous. Early barrage balloons were often spherical. The kite balloon, having a shape and cable bridling that stabilizes the...

compound of five octahedra arranged in icosahedral symmetry (Ih). The spherical and stereographic projections of this compound look the same as those...

from her sons. The concept for the drink originated from the shape of a spherical glass. In a 2016 interview with Forbes, Kick discussed her difficulties...

A globe is a spherical model of Earth, of some other celestial body, or of the celestial sphere. Globes serve purposes similar to maps, but, unlike maps...

Ballas (or shot bort) is a diamond industry term for roughly spherical shards of non-gem-grade diamond, mostly mined in Brazil and South Africa. A ballas...

powder, coconut, or chopped nuts. A chocolate truffle is handrolled into a spherical or ball shape. The name derives from the chocolate truffle's similarity...

most missile warheads. These use mostly cylindrical explosive charges. A spherical charge, initiated at its center, will accelerate a surrounding flyer shell...

subcontinent. Made either of wood or metal, it consists essentially of a spherical head mounted on a shaft, with a spike on the top. Outside India, the gada...

Nanosized aluminium oxide (nanosized alumina) occurs in the form of spherical or nearly spherical nanoparticles, and in the form of oriented or undirected fibers...

drive pin on an external drive wheel. Another variant is the spherical Geneva drive. Spherical Geneva drive The figure shows the motion curves for an external...

distance of a point. A nearest neighbor function can be contrasted with a spherical contact distribution function, which is not defined in reference to some...

superseded by the modern realization that a spherical Earth rotating on its own axis was one of several spherical planets following the laws of gravity and...

of fault planes. In computer graphics and computer representation of spherical data, cube mapping is the gnomonic projection of the image sphere onto...

with brackets for vertex figures, with overlapping edges or vertices. Spherical tilings with dihedral symmetry exist for all p = 2 , 3 , 4 , … {\displaystyle...

1925. The projection has seen use in digital photography for portraying spherical panoramas. The maturation of complex analysis in the 19th century led...

exhibit a range of particle sizes. Liquid droplets are almost always nearly spherical, but scientists use an equivalent diameter to characterize the properties...

and 2.03 to 3.35 MeV. The experiment performed normally. Two four-grid spherical retarding potential analyzers were used to measure thermal and nonthermal...

and he developed spherical trigonometry into its present form. He listed the six distinct cases of a right-angled triangle in spherical trigonometry, and...

medieval writers describing the sphericity of the Earth is Thomas Aquinas, who notes in his Summa Theologica that the sphericity of the Earth can be "demonstrated...

simplest axisymmetric shape is the sphere or spherical section. This can either be a complete sphere or a spherical section forebody with a converging conical...

it). In 1991, START was built at Culham, UK, as the first purpose-built spherical tokamak. This was essentially a spheromak with an inserted central rod...

and an angular or spherical part. The solution to the spherical part of the equation can be expressed as a series of Laplace's spherical harmonics, simplifying...

Phaenomena is a work by Euclid on spherical astronomy. The book is divided into 18 propositions, each dealing with "the important arcs on the celestial...

Einstein field equations that describes the gravitational field outside a spherical mass, on the assumption that the electric charge of the mass, angular...

investigations in the USSR and Japan. Work on the abstract theory of spherical functions published in 1952 proved very influential in subsequent work...

The Pearlscale or Chinshurin (珍珠鱗) in Japanese is a spherical-bodied fancy goldfish with doubled finnage similar to the fantail. The characteristic feature...

cosmological concepts in the flat Earth paradigm, along with the modern spherical Earth view of the Solar System. The created world, Eä, includes the planet...

is added to the r and θ polar coordinates giving a triple (r, θ, z). Spherical coordinates take this a step further by converting the pair of cylindrical...

This article lists the regular polytope compounds in Euclidean, spherical and hyperbolic spaces. For any natural number n, there are n-pointed star regular...

government is based in the town of Pinghu. The Five Hundred Meter Aperture Spherical Telescope (FAST) is located in the southwestern part of Pingtan County...

In biology, a test is the hard shell of some spherical aquatic animals and protists, notably sea urchins and microorganisms such as testate foraminiferans...

aberrations typical of traditional spherical lenses. Gradient-index lenses may have a refraction gradient that is spherical, axial, or radial. The lens of...

photographic or other lens that has better correction of chromatic and spherical aberration than the much more common achromat lenses. The prefix apo-...

is typically used as the idealized Earth, but even if the Earth were spherical and did not rotate, the strength of gravity would not be the same everywhere...

triangles have some properties that are analogous to those of triangles in spherical or elliptic geometry: Two triangles with the same angle sum are equal...

Ptolemy but on a derivative world map, presumably in Syriac or Arabic. The spherical law of sines was discovered in the 10th century: it has been attributed...

1971) was a Swedish engineer and inventor, best known for creating the Spherical roller bearing. His work at SKF and his contributions to bearing life...

eyeglass prescriptions. Every corrective lens prescription includes a spherical correction in diopters. Convergent powers are positive (e.g., +4.00 D)...

remember their former shape. Before the die, they sit in a relaxed, roughly spherical conformation that maximises entropy. Inside the die, the sudden acceleration...

example assumes a negative cylinder sign convention): Power 1 is the spherical value, and power 2 is the steeper power of the astigmatic axis: Corrected...

The GLAss Spherical Tokamak (or GLAST) is a name given to a set of small spherical tokamaks (i.e. magnetic confinement fusion reactors) located in Islamabad...

Salmovirus Viruses in Alloherpesviridae are enveloped, with icosahedral and spherical to pleomorphic geometries, and T=16 symmetry. The diameter is around 150–200 nm...

centuries BCE still based on the flat Earth paradigm. World maps assuming a spherical Earth first appear in the Hellenistic period. The developments of Greek...

is due to the parametric representation of the factors. Take a generic spherical triangle ABC with angles a, b, and c as the sides opposite the capital...

these values (rather than the present ~2 g/cm3) is a better guess. For a spherical body, the gravitational acceleration at the surface g {\displaystyle g}...

physics, Slater integrals are certain integrals of products of three spherical harmonics. They occur naturally when applying an orthonormal basis of...

production, one of the updates was a change from a "heart shaped" to a "HEMI" spherical combustion chamber. The only mechanical differences from the M 103 3.0...

Mendocino County, California, in the United States. It is named for the spherical sandstone concretions found there at low tide. Caspar Headlands State...

phase allotrope of plutonium so it could be hot pressed into the desired spherical shape. As plutonium was found to corrode readily, the sphere was then...

In general relativity, Birkhoff–Jebsen's theorem states that any spherically symmetric solution of the vacuum field equations must be static and asymptotically...

In spherical geometry, colunar triangles are spherical triangles which have one side in common and whose other sides belong to the same great circles...

two forks (a.k.a. yokes, one driving and one driven) and the two semi-spherical sliding pieces (one called male or spigot swivel and another called female...

polyhedron elements. The truncated cuboctahedron can also be represented as a spherical tiling, and projected onto the plane via a stereographic projection. This...

secant, cosecant) with complete proofs, and formulated the plane and spherical law of sines, the form still taught in schools and universities today...

sphere. The two-point equidistant projection maps a family of confocal spherical conics onto two families of planar ellipses and hyperbolas. The projection...

creeping vine plant in the family Cucurbitaceae that bears cylindrical to spherical fruits, used as culinary vegetables. Considered an annual plant, there...

complex conjugate of the D-matrix is an eigenfunction of the Hamiltonian of spherical and symmetric rigid rotors. The letter D stands for Darstellung,[citation...

physics, spherulites (from Greek sphaira = ball and lithos = stone) are spherical semicrystalline regions inside non-branched linear polymers. Their formation...

axiom sets can yield other geometries, such as projective, elliptic, spherical or affine geometry. Axioms of continuity and "betweenness" are also optional;...

hypotheses in Greek terminology): The heavens are spherical The Heavenly Sphere rotates The Earth is spherical The Earth is the center of the cosmos "the Earth...

to fit the measurements to a set of spherical harmonics. This was first done by Carl Friedrich Gauss. Spherical harmonics are functions that oscillate...

projection algorithm begins with the selection of three base points to form a spherical triangle minimally enclosing the area to be mapped. These points are mapped...

traditional Chinese medicine product made from several herbs formed into tiny spherical pills about 4 mm in diameter. It is used as a remedy for the relief of...

brand name used to identify movies photographed with Panavision 70 mm spherical optics between 1959 and 1983. It has since been replaced by Panavision...

effective conductivity (which can be either dc or ac) for a system made up of spherical multicomponent inclusions with different arbitrary conductivities. Then...

writing surface for exploring spherical geometry, invented by Hungarian István Lénárt as a modern replacement for a spherical blackboard. It can be used...

circular opening enclosed by a rim and leads to the instrument via a semi-spherical or conical cavity called the cup. From the cup, a smaller opening (the...

Throughout this treatise, Aristotle outlines two theories: The universe is spherical The Earth’s inner core is composed by the orbits of heavenly bodies The...

Thomson problem of minimizing the total Coulomb energy of electrons in a spherical arrangement. Thus far, solutions have been proven only for small numbers...

island of stability. Unlike the magic numbers 2–126, which are realized in spherical nuclei, theoretical calculations predict that nuclei in the island of...

representation theory and quantum mechanics. It states that matrix elements of spherical tensor operators in the basis of angular momentum eigenstates can be expressed...

surface. The shape of a drop falling through a gas is actually more or less spherical for drops less than 2 mm in diameter. Larger drops tend to be flatter...

Panono is a 360° X 360° full-spherical, 108 megapixel Panoramic ball camera created by Berlin-based company Professional360 GmbH, previously knowns as...

becoming infinite at the horizon; the horizon air mass in the more realistic spherical atmosphere is usually less than 40. Many formulas have been developed...

urbanization, in Caracas, when he was shot at the base of his neck by a spherical metallic projectile, dying at the age of 18 years. Conductor Gustavo Dudamel...

of the reflector have different radii to correct the aberration of the spherical mirror. Light passes through the glass twice, making the overall system...

− d 0 = d i {\displaystyle -d_{0}=d_{i}} Concave and Convex mirrors (spherical mirrors) are also able to produce images similar to a plane mirror. However...

flowers are considerably smaller than female ones. Fruits are berry-type, spherical or nearly so, smooth and hairless, and up to 5 cm (2.0 in) in diameter...

into outer space. In general, it is what causes objects in space to be spherical. Hydrostatic equilibrium is the distinguishing criterion between dwarf...

cases become planar or spherical simple open chain, M = ∑ i = 1 j   f i , {\displaystyle M=\sum _{i=1}^{j}\ f_{i},} planar or spherical simple closed chain...

1924 until the introduction of the National Grid. Cassini is known as a spherical projection, but can be generalised as an elliptical form. Considering...

cross-section, the shape of the meniscus will approximate a section of a spherical surface, while for a large container, most of the upper surface of the...

purely by the pumping effect of the grooves, whereas journal, conical and spherical forms also get extra pressure generation by the hydrodynamic bearing wedge...

Australia. It is a low shrub with crowded pinnate leaves and flattened spherical heads of glabrous pink flowers. Isopogon asper is a shrub that typically...

constructed in 2003; several more followed. Putting such machines inside spherical projection screens, and by the principle of the so-called sky transform...

distortion is minimized throughout the region of interest. Coordinates from a spherical datum can be transformed to an equidistant conic projection with rectangular...

interrogate a representative volume. The indenter, which is normally spherical, therefore needs to have a radius in the approximate range of several...

Axel Carlander and Knut Johansson Mark, following the invention of the spherical ball bearing by engineer Sven Gustaf Wingquist. He was an operations engineer...

In geometry, the 25 great circles of the spherical octahedron is an arrangement of 25 great circles in octahedral symmetry. It was first identified by...

the ancient Alhazen's problem (billiard problem or reflection from a spherical mirror). Some regular polygons (e.g. a pentagon) are easy to construct...

is also often associated with zeolites. It is most commonly found as spherical or radial formations in hydrothermally altered basalt and basaltic tuffs...

cylinder-like objects. A sphere may be extruded to obtain a spherical cylinder (a cylinder with spherical "caps", known as a spherinder), and a cylinder may be...

on a celestial sphere, if the object's distance is unknown or trivial. Spherical coordinates, projected on the celestial sphere, are analogous to the geographic...

Unlike a spherical mirror, a bundle of parallel rays parallel to the optical axis will be perfectly focused to a point (the mirror is free of spherical aberration)...

rarely grows alone, but most often produces abundant shoots with spherical, depressed spherical or cylindrically elongated bodies. The bodies reach heights...

method to subdivide the spherical surface into triangles of nearly equal shape and size. HEALPix Quadrilateralized spherical cube Geodesic grid Szalay...

family Alstroemeriaceae. It is a tuberous plant with capsule fruits, and spherical seeds. The species is native to Goiás, and was described in 1877. The...

approximately aligned with the solar ecliptic (also called its Hills cloud) and a spherical outer Oort cloud. The innermost portion of the Oort cloud is more than...

approximation. There are many phenomena related to light scattering by spherical particles such as resonances, surface waves, plasmons, near-field scattering...

several loops of twisted skeins. Early versions projected heavy darts or spherical stone projectiles of various sizes for siege warfare. It developed into...

respectively. The intersection between one of the cones and the sphere forms a spherical conic. The conical coordinates ( r , μ , ν ) {\displaystyle (r,\mu ,\nu...

Omnidirectional (360-degree cameras) can capture spherical 360° × {\displaystyle \times } 180° panoramic photos or videos. Panorama Omnidirectional camera...

as excellent intermediate aperture lenses. The Tessar design uses four spherical lens elements in three groups, one positive crown glass element at the...

The squirmer is a model for a spherical microswimmer swimming in Stokes flow. The squirmer model was introduced by James Lighthill in 1952 and refined...

example, metal microparticles can be explosive in air. Microspheres are spherical microparticles, and are used where consistent and predictable particle...

velocity is most notably dependent upon grain size, the shape (roundness and sphericity) and density of the grains, as well as to the viscosity and density of...

Over the years models consisting of an increasing but limited number of spherical harmonics have been produced. Maps produced have included free-air gravity...