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rounding, while quantization error can be rounding, truncation, etc. (Not sure what it is for floating-point numbers.) Also quantization error is generally...

geometric quantization and deformation quantization are about first quantization of simple finite-dimensional mechanical systems, not second quantization of...

think the basic description of "quantization" could use a little bit of tweaking. The current definition is: "quantization is the process of approximating...

most of the Weyl quantization material gets moved there. Only the part relating specifically to quantization would stay in the quantization article. Hopefully...

one on the canonical quantization of finite-dimensional systems, and one on inifinite-dimensional systmes (second quantization). Seems that most of your...

This article is NOT about Tifft's redshift quantization observations. It is about "redshift quantization" of which Tifft was one of the first people...

the article (e.g., Rate–distortion quantizer design and Lloyd–Max quantization) is about the principles of quantization for compression purposes. Many of...

deformation quantization is usually "not successful": Despite its name, usually Deformation Quantization does not constitute a successful quantization scheme...

Around page 232, first and second quantization are very nicely outlined in: Pauli and the Spin-Statistics Theorem https://doi-org.wikipedialibrary.idm...

while calculating maximum signal to quantization noise ratio of quantizer in linear quantization ,why the value of load rasistance and signal power is...

from! 71.199.123.24 16:11, 25 May 2006 (UTC) Hi all. I wrote the Color quantization article, which seems to have some overlap with this one (I just found...

I think that the mass/count noun articles would go well under quantization (since both have been suggested for merging anyway), but that would mean that...

for rather technical reasons. See Talk:Weyl quantization#Split proposal and Talk:Geometric quantization. Relisted. Jenks24 (talk) 05:06, 23 June 2012...

that article in here. I've cut and pasted the content into the BRST quantization#BRST formalism, but I suspect that there is much duplication. Alas I...

but relevent to "redshift quantization"? --Iantresman 13:42, 14 June 2006 (UTC) It's appropriate on redshift quantization because the main supporters...

sampling, which is about to undergo a change (since this info is about quantization and not about sampling). I hope you can do the rest of the work. Thanks...

must be fixed. If there is any valid quantization being done to the EM field please stick to the field. Quantization of the field, if any, is far more more...

have modified the article to give a clear explanation of what vector quantization is, together with some uses for it. It still needs tidying up and referencing...

Hello fellow Wikipedians, I have just modified 2 external links on Color quantization. Please take a moment to review my edit. If you have any questions, or...

applying projection works quite well, allows to reduce mean-squared quantization error by ~10% ( https://arxiv.org/pdf/1705.05285 ) - might be worth adding...

quantization error, it just moves it to desired parts of the spectrum. Dither does not reduce quantization error, it just decorrelates quantization error...

redshift quantization, and intrinsic redshift suggestions from nonstandard cosmologies." Flying Jazz 21:14, 7 June 2006 (UTC) Redshift quantization should...

Processing), quantization is topic on which considerable text is devoted. In the laboratories I teach, students see the effects of quantization first-hand...

seem like there is a thing called "action quantization", eg Einstein–Brillouin–Keller action quantization. Johnjbarton (talk) 00:38, 1 August 2024 (UTC)...

still have exact digital representation. I think that section about quantization should explain that a typical analog signal is approximated by a discrete...

The idea that quantization is a "functor" in this context is extremely short-sided, it basically thinks that there is a classical string phase space that...

The article Redshift quantization has "Redshift" in the title, which means that it should appear in the disambiguation page for "Redshift". Standard procedure...

Why was Fixed-Rate Quantization cut? Thmazing (talk) 20:26, 23 March 2009 (UTC)...

I agree. AFAIK third quantization was used for a short while in the early days of quantum gravity. The term Second Quantization is still used a lot in...

2006. Almost all articles on WP link to Quantization (signal processing), and I don't know why quantization should need its own article just for sound...

acceptance of redshift quantization ideas. I included part of the Discover magazine quote in the article about redshift quantization which is where the discussion...

reduces the slope overloadat the expense of increasing quantization error. Linear DM has less quantization error while more slope error. But, practically, for...

May 2009 (UTC) Q-1 is horribly wrong! Quantization is not invertible. Option 1 is only possible if no quantization is done and the compression algorithm...

Super theory goes back, at least tacitly, to Jordan-Wigner quantization of Fermi-fields, and explicitly to work of Schwinger around 1950. Does anyone know...

00:43, 3 March 2006 (UTC) There's a draft of a new exposition at BRST Quantization. I'm not a professional theoretical physicist, so it may contain howlers;...

Maybe a title like "Quasi-Probability distributions in the phase-space-quantization" is more appropriate. In that case another article about the mathematics...

Berezin's book "The method of second quantization" listed in the references has nothing to do with the topic and the article, except that it is from the...

write of quantization error is later overwritten. matt kane's brain (talk) 15:00, 22 July 2010 (UTC) It's wrong even if it's right. The 'quantized pixel'...

iteration of a) assigning data points to nearest quantization level (1-D) and b) computing new quantization levels as centroid of the associated data points...

Bubba73 (talk), 04:57, 14 May 2007 (UTC) JSE is well known as being a platform for pseudoscience, Second Quantization (talk) 12:59, 8 March 2015 (UTC)...

Canonical quantization should have its own page (I started it recently): but some people have worked hard here on the second quantization sections, which...

says that "LPCM is PCM with linear quantization". However, there is no such thing as linear quantization. Quantization is an inherently non-linear process...

dimension k where k>0. See for example Vaisman, Izu (1983). "Geometric quantization of presymplectic manifolds". Monatsh. Math. 96: 293–310. doi:10.1007/BF01471212...

2014 (UTC) An article about quantized spacetime was uploaded today. The article about spacetime has a section on quantized spacetime. Are these different...

17:25, 1 July 2016 (UTC) My plan of is to I will be updating the Landau Quantization page with the effects of the gauge transformation on the landau levels...

observed to be quantized. This means the Earth must be at the center of the universe in order for the Big Bang model to be true. Quantization is shown to...

Quantization of Spinor Fields", eq. (9.63).EduardoW (talk) 11:07, 23 June 2022 (UTC) Oppose: But the thing is that this is true for all quantizations...

as the mass noun article, into quantization. But that also covers telicity; should all be merged into the quantization article, or is that too ambitious...

atom is quantized and the field is treated classically, can explain many of the phenomena which we observe in modern optics. The quantization of the radiation...

of steps instead we have a something called grid or lattice or mesh . Quantization Errors It is errors arises due the limitation of floating point representation...

arguments of Bohr and Rosenfeld, it is not clear to me that canonical quantization would have been accepted so quickly for quantities like the electromagnetic...

in such a way as to imply (A) "quantization of charge implies monopoles" and not (B) "monopoles implies quantization of charge". While (B) is a universally...

quantization. But, I haven't yet found an explanation of what it is or how it works. Maybe someday. Would it be more precise to say QG's quantization...

invariance—see Gauge theory—provides a natural explanation of charge quantization, without invoking the need for magnetic monopoles; but only if the U(1)...

nonperturbative quantization of diffeomorphism-invariant gauge theories, which one might call loop quantization. While originally developed in order to quantize vacuum...

thermalised photon loses it's orbital differential information and its now un-quantized energy is within the black body allowed range, which has a unique probability...

order in α—may be smaller than the Lamb shift, which is due to EM field quantization and isn't included in the Dirac formulation. I don't have all the equations...

removed the claim that CVSD reduces quantization noise by more closely approximately the input signal. Quantization noise is more a function of the ADC...

lay-person?: "The relativistic spin–statistics theorem connects electron spin quantization to the Pauli exclusion principle: observations of exclusion imply half-integer...

though. The content of Sommerfeld quantization is section 1 of the contents. The link Bohr-Sommerfeld quantization goes to the same place. If you want...

periodicites and quantization rules on the degrees of freedom. They are seen as the area quantization rules. This area quantization has nothing to do...

solved that for electro dynamics by quantization. How do you do that for General Relativity? You have to quantize space. You have to do that by using...

on how antisymmetry can be enforced in a different way using second quantization. Cdr Harris Fan Club 14:57, 21 Jun 2004 (UTC) I changed the normalization...

Development of our Views on the Composition and Essence of Radiation"), on the quantization of light, and in an earlier 1909 paper, Einstein showed that Max Planck's...

(tO3ASKZlok) that TurboQuant substantially overlaps with their earlier quantization frameworks. They noted that the original TurboQuant submission did not...

Comments: There is a missing term in the formula up to second order. To do: Maybe add Moyal-Weyl product; Add comment about Cattaneo's Path Integral approach;...

Derivation of in-band quantization noise variance for first order delta sigma modulator [1] Derivation of in-band quantization noise variance for second...

is a ratio of two quantities with the same units (e.g. volts, watts, quantization steps, ...) and is therefore dimensionless, so it should be expressed...

that b) gauge theories quantize charge, and that c) charge quantization does not require QFT. More precisely, charge quantization does not require even...

that as a common usage and it isn't used correctly in this article. Quantization would have made perfect sense here. The article says The selected context...

a rough patch. Ccrrccrr (talk) 05:02, 16 September 2009 (UTC) Color quantization also describes how the color space of an image is reduced, typically...

was quantized, de Broglie gave it a meaning by his wave model. HT is a quantization of the metric. It is no different from LQG but the quantization ocurrs...

work to make them consistent. Geometric quantization (Weyl-Maslov-Hormander-Voros-Guilleman-Sternberg Quantization) might be another useful article although...

alternative to the quantum logics approach called deformation quantization (see Weyl quantization ). The energy Ep in the second equation needs to be defined...

standard mathematical tool used in quantum field theory for covariant gauge quantization (e.g., the Gupta–Bleuler formalism). Because this peer-reviewed paper...

(UTC) I just want to "vote" and say that LBG is an important vector quantization algorithm... one of the most (behind k-means) cited alorithms. Of course...

different sides of the solenoid, from the Aharanov Bohm effect. The dirac quantization condition guarantees that this interference phase is the same as in empty...

don't really understand this point. The article doesn't discuss the quantization. That bit was left out. Fine, but instead of having been renamed it could...

momentum quantization in periodic structures, Physica, 35: 97–106, doi:10.1016/0031-8914(67)90138-3.><Van Vliet, K. (2010). Linear momentum quantization in...

explaining the relationship of hochschild homology with deformation quantization. Also, it would be nice to discuss the motivic properties with respect...

I think quantization is probably best alone, since it explains both. The articles for count and telicity could be merged into the quantization article...

inequalities need to be violated (or something similar) before you can prove quantization and not just classical fields producing "clicks". IlkkaP (talk) 16:58...

radiation article. Lastly, I would like to see quantization of the electromagnetic field focus on the quantization of charges whereby all the small fields around...

article says that the error in quantizing one pixel is "added to" the next pixel along before it is in turn quantized. Shouldn't this be "subtracted from"...

are quantized: this would also present major problems for building a "real computer". I'm not a physicist, but if space and time itself was quantized, surely...

scientist. As for quantum mechanics, now that's the rub. The "jumps" (quantization) in QM have nothing at all to do with discrete spacetime! What makes...

this article, connected by a WikiLink. A more appropriate location is Quantization (signal processing), and I have attempted that merge. But I have not...

this to justify the quantization that we observe. Logically, this does not seem tenable. Historically, we observed quantization and have invented the...

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should be merged into the stub article on quantization, along with the mass/count noun articles. Quantization explains both the mass/count noun distinction...

higher harmonics we'd like to capture, and when the amplitude is quantized we get quantization noise, but I still think the Nyquist theorem should be highlighted...

refers to "discretizing" a signal. I think the author meant "quantizing" and "quantization." Is it reasonable to make that substitution? — Preceding unsigned...

articles about high and low frequency perception. Signal quantization is something, hearing quantized signals is another thing. Now, I don't know what you...

that expansion did not take place. Quantized redshift in the standard theory is an anomaly. Expansion and quantization cannot both be true, they are inconsistent...

12:57, 29 August 2006 (UTC) Aha! The Color quantization article discusses this issue. A quote: "Color quantization is frequently combined with dithering,...

use the second-quantized hole-particle formalism, which is equivalent to what I wrote. (I could write the article in 2nd quantization, too, but then surely...

section uses the word "packetisation". Is that even a word? How about quantization or bundling or something better? 3. The "RF signal modulation" says "The...

from the explanation of quantization, as the reduction is only a matter of unit analysis not at all related to quantization. Would like a coherent fix...

03:07, 15 November 2005 (UTC) I agree; the sections about the different quantization formalisms seem a little out of place in this article. 142.3.164.195...

says: The Planck time [] is not a quantization of time itself [] Additionally, the Planck time is a universal quantization of time itself [] So it isn't,...

of quantum theory. Einstein's contribution was to claim that light is quantized. But that's not part of thermodynamics because it makes no mention of...

Kees08 (Talk) Operation section could use a lot more links. For example, quantization, NiCd, etc... Done Kees08 (Talk) "Landsat 4 carried an updated Multi-Spectral...

Theory must have a foundation in Quantum Field Theory. The necessity for quantized quantities is absolute. Am I wrong? - Out of Phase User (talk) 19:56,...

The errors Schwinger, Julian (1951-07). "On the Green's functions of quantized fields. I". Proceedings of the National Academy of Sciences. 37 (7): 452–455...

complaint. The chiral left and right sum to vector and axial vector. Quantization breaks the axial vector due to the chiral anomaly. The vector is the...

signal for transfer, then expand it for output. Compansion is better than quantization because it retains greater S/N for low-level signals. Removing the paragraph...

Outlines HD, IMD and NPR measurements, also includes a derivation of quantization noise Hello Kvng, I agree on removing: - Controlling the X79000 FlexDAC...

Pre-echo has nothing to do with the Gibbs pheomenon. It is caused by quantization noise being spread over the transform window (Gibbs is about truncation...

incorporated by restricting node edges that would cause collisions. To handle quantization or discrete servo positions, you can represent the search space as a...

as an unjustified attack on LQG. Mathematically, loop quantization is a well-defined quantization procedure in a precise sense, and that's all I really...

of why we look to external sources, Second Quantization (talk) 16:20, 4 March 2014 (UTC @Second Quantization: Wikipedia:FRINGE#Peer-reviewed sources says...

approximates this condition). If it's just quantization noise (not AWGN), it will likely always quantize to the same value, and both the noise and the...

IMHO this article is nonsensical. A "quantum LC oscillator" is simply a quantized harmonic oscillator. Absolutely nothing of importance can be learned by...

example, it is not correct that an electron in an atom or a molecule has a quantized energy. This is the atom or the molecule which does! It is only a first...

weak operator limit. Weyl quantization may therefore be thought of as an operator whose kernel is just the Weyl quantization of the delta function. In...

Kikkawa to the light-cone string quantization section. They appear to be the first to give an explicit second-quantization of the formalism Mandelstam introduced...

moment there is no need because the subsection is rather small, Second Quantization (talk) 16:51, 8 September 2014 (UTC) Agree. I am collecting sources and...

wikipedia, even if the sources don't. Second Quantization (talk) 23:20, 21 February 2015 (UTC) @Second Quantization: Fair enough, I don't argue that the text...

what defines your quantization axis) might for a photon not have a possible value of 0, namely if the momentum p defines for quantization axis (see helicity...

photons and quantization going back to the beginning of QM. For a long time, pretty much only Einstein believed that light was actually quantized. Planck...

abstract Wiener space. A middle ground is the industry pursuing deformation quantization. The epsilon of deformation theory is what physicists call h-bar: Planck's...

17:02, 29 November 2011 (UTC) Why do we say that energy of an electron is quantized? —Preceding unsigned comment added by 113.199.240.62 (talk) 11:14, 21...

kind of stuff. Ideally, we should also have a section for light-cone quantization and state counting, but I won't do that for now. Rantonels (talk) 13:13...

standard DS0 as the basic digital telephony bitstream standard non-linear quantization: A-law vs. μ-law, and transcoding between the two bit error rate and...

agree. The higher the bit rate, the less the converter must round in quantization. The less rounding, the more accurately the audio stream is captured...

energy quantization). It seems to me that this latter account is preferable, since the first one is consistent with the final energy quantization rule of...

17 February 2010 (UTC) Some other references are Gitman and Tyutin Quantization of Fields with Constraints and Sundermeyer Constrained dynamics Simonjtyler...

...

('00','01','10','11' with two bytes). see https://en.wikipedia.org/wiki/Quantization_(signal_processing) — Preceding unsigned comment added by NonLynSys (talk...

is also quantization, relating to the finite number of values at each sample point. With uniform sample spacing, this results in quantization noise with...

literally useless information to the customer as it doesn't allow for quantization / numbers that are useful in anyway, you couldn't even begin to arrive...

Somewhere in the article, it should say that quantization is the whole point of having a TOE. Without quantization, you have a rewriting of the standard model...

mechanics. More generally, quantum groups arise by the procedure of quantization from Poisson-Lie groups, so in this sense they are 'philosophically'...

cryptographic hash of the quantized biometric measurement and the "helper data", in which the helper data is used to bias the quantization process. According...

Sorenson_codec. The Sorenson_codec page contains information about Sorenson Video Quantizer codec, which is not really related to Sorenson spark. I mean except the...

renormilized, while the expression I wrote is what one obtains from second quantization of Shroedinger equation, and does not present divergences. Am I missing...

27 November 2009 (UTC) Doesn't Ramsification presuppose higher order logic, as it is quantized over predicates? 129.70.124.103 17:08, 9 May 2007 (UTC)...

conceive of thinking higher than that.. displacement, bases, parameters, quantization. it's a wacky paradigm, but everything is saved. so, thanks for your...

mathematical example from my understanding. (See Henneaux and Teitelboim's Quantization of Gauge Theories chapter 4 "Generally Covariant Systems"). I think this...

role in Quantum Field Theory since they are the basis for the second quantization. However they don't play a particular role in Quantum Chemistry at least...

"A fracton is a collective quantized vibration on a substrate with a fractal structure." I think that's the most confusing grammatically correct sentence...

Quantum Vortex article. 3. Following this line of thoughts, there are also quantized vortices in Josephson junctions (JJ). Should they be included into Quantum...

sampling an analog signal at regular intervals. Each sample however is never quantized in value, and so must be processed by analog cells. For example, a capacitor...

the canonical gravity Hamiltonian constraint, considered using Dirac quantization of constraints. I will also use notation consistent with the Euclidean...

{2}{3F}}(2mE)^{3/2}} , which if substituted into the equation, should yield quantization rule 4 3 F ( 2 m E ) 3 / 2 = n h {\displaystyle {\frac {4}{3F}}(2mE)^{3/2}=nh}...

remove the data. Steev 03:43, 14 November 2006 (UTC) I have added vector quantization to the list of techniques that can be used for density estimation Pog...

quantizer was used and its output was sent directly rather than in PCM form (see US patent 3,912,868). Although the output of a subranging quantizer can...

Green, A Generalized Method of Field Quantization. Phys. Rev. 90, 270–273 (1953).(c) explores field quantization without the "symmetrization postulate"...

that the basic course in quantum mechanics is concerned mainly with the quantization of dynamical systems of particles. Peskin, M. E., Schroeder, D. V. (1995)...

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enough of a physicist to phrase it correctly. Also, a brief mention of quantization in matters other than energy - such as the knots mentioned above, or...

nor by inter-picture prediction. You are loosing information by the quantization process and probably by the transformation (rounding errors). — Preceding...

gauge argument can also be alluded to here to explain why this leads to quantization of Hall conductivity. 4. FQHE: A small section with hyperlink to the...

radiation). It also does not mention quantization, yet all of the behavior of individual electrons is quantized. Also, the article doesn't seem to discuss...

Tech. Jl, Vol. 19, pp. 587-610; Oct. 1940 Bennett, W.R., Spectra of Quantized Signals W.R. Bennett "Response of a Linear Rectifier to Signal and Noise"...

removed is that cited to primary sources, namely Bailey herself, Second Quantization (talk) 00:00, 19 February 2014 (UTC) (Formerly IRWolfie-) You are right...

topic as I see it are: 1. its definition via (in a sense) canonical quantization, and via the path integral, 2. how one can calculate the correlation...

having several papers (Semiconductor clusters in the sol-gel process: Quantized aggregation, gelation, and crystal growth in concentrated ZnO colloids...

classical electromagnetism; its characteristics are described by the quantized electromagnetic field and quantum mechanics. So far so good, but the body...

the part of this page about quantum field operators could probably be merged with: http://en.wikipedia.org/wiki/Quantum_field_theory#Field_operators I...

of the Planck distribution, or that it was the breaking proposal for quantization of EM radiation, is a fiction for those who apparently need to glorify...

conjecture" (PDF). Max Planck Institute for Mathematics. July 19, 2024. "Quantization of Hitchin's Integrable System and Hecke" (PDF). University of Chicago...

emission was quantized, but not that the EM field was quantized. For a long time, it was mostly Einstein arguing for actual quantization and photons....

8-bit linear PCM for comparison, as this would necessarily have raised quantization noise to easily audible levels while A-/µ-law would keep it much lower...

planck-scale), and for LQG someone had searched for the effects of space quantization on the propagation of photons from very distant sources. Both searches...

except where a secondary source comments on the attributed POV. Second Quantization (talk) 21:21, 3 November 2015 (UTC) The hatting is appropriate. The discussion...

is sourced solely to an unreliable source, so I've removed it, Second Quantization (talk) 22:27, 2 March 2014 (UTC) The etiquette is that you explain yourself...

old revision which seems to be predominantly American ("analyzing"; "quantized"); SchroCat has changed it to British English. Per MOS:RETAIN we are supposed...

relativity...twistors could be seen more as a quantization of the light cone rather than a quantization of gravity itself. It does, nonetheless, give...

restating what XVCD is, and that KVCD is a variant, with a particular quantization table, and sometimes using a higher resolution. A fairly short (but larger...

Kees08 (Talk) Operation section could use a lot more links. For example, quantization, NiCd, etc... Done Kees08 (Talk) "Landsat 4 carried an updated Multi-Spectral...

Though the flux quantization was first discovered in superconductors, where current is carried by cooper pairs of charge 2e, the Aharonov-Bohm effect has...

applying a random signal to reduce quantization; however, it has now come to mean any method to reduce quantization. Acertain (talk) 15:03, 21 May 2011...

discussion as the top of the page shows (due to an arbcom ruling), Second Quantization (talk) 10:58, 16 October 2015 (UTC) I think this is a rather extreme...

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they are bosonic) and then quantized just once (what is sometimes called second quantization, but since this is quantization of the field, if you start...

then G.Blanche got his Nobel Price (cite 7) for the theorem on minimal quantization on the compact RL sets (cite 8)"... I type this abracadabra to explain...

found. These are are quantized in energy/momentum/spin. When a particle escapes the well the solutions are no longer quantized.203.221.203.224 (talk)...

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that explanation. We recognize that the S-G experiment demonstrated quantization of the atom's magnetic moment, showing that it is always found to be...

which Nielsen makes some dubious claims, including the claim to have quantized space. (C.f. Penrose spin networks, but I don't think that's what he means...

quantized, and continuous time quantized signals. There are audio storage devices that store analog voltages on discrete capacitors, so not quantized...

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(UTC) This is not specific to the Dirac equation. See first quantization and second quantization. JRSpriggs (talk) 19:09, 16 December 2012 (UTC) The interpretation...

diffeomorphisms (this is more closely related to "Heisenberg quantization", or the canonical quantization scheme as outlined by Dirac), Gerald A. Goldin, Ralph...

single loop throughout the track by using a guitar controller and then quantized it on the sequencer (to be as perfect on the beat), but that would be...

are lacking. I've got one highly abstract paper that takes 100 pages to quantize the simple harmonic oscillator as a "simple example problem". :-) linas...

sense, but doesn't. This should stick to first princples (sampling and quantization), or discuss what could be described as "degrees of freedom over domains...

properties (the second most obvious, after the Meissner effect, is the quantization of magnetic flux through closed loops of superconductor). On the other...

map is trained. SOM also has its ways to quantify errors, namely the quantization error and the topographical error. 3-it uses a sound optimization procedure...

remove the negative from leads? Second Quantization (talk) 18:17, 3 November 2015 (UTC) @Second Quantization: The difference is that you can't call astronomy...

what I mean by a "full quantum mechanical atom" is a system which is quantized according by Sommerfeld rule but which has emissions and absorptions according...

here is whether you quantize the position and momentum or the Fourier modes of the field ... ie, in both first and second quantization an overall phase on...

theory. Best known for developing the Gupta–Bleuler formalism of field quantization. College of Liberal Arts and Sciences, Wayne State University Wayne State...

page from half-form (by clicking the link in the article on geometric quantization) but on this page there is no explanation to what a half-form is, if...

redshift relation, Quasars, Redshifts and Controversies, and Redshift quantization) has already taken place, and it is a selfishly Ian-centered topic for...

"Hilbert" inner products related by J {\displaystyle J} . (See notes in BRST Quantization, which is still in draft.) However, if one tries to go over to the quotient...

spacetime dimensionality other that 3+1. Loop quantization is a general framework for nonperturbative quantization of background-independent gauge theories...

with you. For me, a fermion is an anticommuting operator (in "second quantization" formalism) and an expression like "spinless fermion" is not self-contradictory...

rigorously. The same result obtains with canonical quantization (see e.g. Greiner, Reinhardt Field Quantization), but there the result (micro-causality) appears...

this link? Sasanack already provided this link at the start. Second Quantization (talk) 08:46, 14 March 2014 (UTC) For your information, my post of 07:01...

threshold associated with a particular ionic core configuration. These quantized Rydberg energy levels can be associated with the quasiclassical Bohr atomic...

There is no particle which is a photon. The quantization of light is solely an effect of the quantization of charge and the particulate nature of the...

This article discusses quantization of energy as a general phenomenon, but it is really only appropriate to discuss quantization in reference to bound...

by pre-quantizing areas with a different Q' matrix before the final quantization with matrix Q, e.g. with Q'=2Q such that the final quantization won't...

thermodynamics approach of Ludwig Boltzmann to explain black-body radiation; the quantization aspect was more of a mathematical artifact than (in Planck's view at...

ingredients. There is a Hilbert Space, but Lagrangians (or Canonical Quantization of those) to obtain the QFT aren't set in stone. Even the renormalization...

a canonical theory that quantizes space time and winds up with a minimum slice of space-time. It just does the quantization in a different way. It has...

Binksternet (talk) 21:41, 13 May 2013 (UTC) Also agree. The first graphic at Quantization (signal processing) is good but the others have the same problem as pointed...

observable operator. As a consequence, the area of a quantum surface is quantized. Abhay Ashtekar and his colleagues in 1996 found that three incident edges...

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not a quantum-mechanical effect (contrary to popular belief), as no quantization is involved or required in the construction of the fiber bundles or connections...

processing. And yes you're right that the quantization noise is on the same order as the shot noise. With quantization being uniformly distributed between plus...

the Kronecker delta, where it is first used. - Start the stochastic quantization section directly with the general case. Some responses to the earlier...

for people to mix the terms up, Second Quantization (talk) 22:32, 27 May 2015 (UTC) Thanks, Second Quantization. Tlhslobus (talk) 20:20, 31 May 2015 (UTC)...

202 (talk) "Even when Coulomb blockade can be used to demonstrate the quantization of the electric charge, it remains a classical effect and its main description...

of which are identified with Standard Model and gravitational fields. Quantization isn't even mentioned until the second last paragraph, at which point...

correctness of the quantum dynamics is the major roadblock to completing the quantization programme of QGR. In order to make progress a better understanding of...

Nambu-Goto action in terms of an induced metric reparametrization invariance quantizing the action (at least an outline of the procedure) —Anville 18:47, 21 Sep...

Physics, Hamiltonian formulation has succeeded to quantize field theory with canonical quantization method e.g., quantum electrodynamics and quantum chromodynamics...

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Hartree fock, and Slater Determinant where there are implications to 2nd quantization (also relevant here). Now that work shall be ended before attacking a...

case. * Absence of quantization noise This actually may have some sense, but is closely related to the SNR ratio and the quantization bits of the equivalent...

anything about the number format? Fixed vs floating point? u-law vs linear quantization levels? — Omegatron 19:49, 22 November 2005 (UTC) Twang 00:58, 11 March...

grammatical sense: "Light front quantization is a rigorous alternative due to Paul Dirac to the usual second quantization method (instant-form method)."...

in a drum "practice head" as a velocity transducer. This was fed to a quantizer to create a TTL trigger that caused a primitive but effective "Moog style"...

make more sense to merge any new content from this page into second quantization and put a redirect from here to that article instead of duplicating a...

amplifier noise is additive ..." "Quantization Noise" is a misnomer. The correct term is Quantization Error. Quantization Error is what happens when you...

be used for discussing changes or whatever to this article), Second Quantization (talk) 15:09, 2 August 2014 (UTC) It could be that some people are just...

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2006 (UTC) There is a difference, of course, between the quantization of light and the quantization of redshift. --ScienceApologist 13:06, 29 December 2006...

quantum process per se, only the quantization of it is. IOW, quantum physics is necessary to explain the quantization, not the process itself. The emission...

FAISS: - 11: "Quicker ADC : Unlocking the Hidden Potential of Product Quantization With SIMD" - 22: "Amazon OpenSearch Service now supports efficient vector...

gluons Supersymmetry Supergravity Cosmic inflation BRST symmetry for quantizing field theories Skyrmion model of the nucleon Quantum computers Bosonic...

theory is obtained by the first quantization of a classical field equation; or, alternatively, the second quantization of the Dirac wave equation. I don't...

quantization and therefore "freezing out" of the mode) the spring constant of the vibrational mode is relatively small, (again to avoid quantization)...

bitrate peeling, such as how it is done using set of cascaded vector quantization codebooks, residue, etc. There are two "prototype peelers" that exist...

--ChetvornoTALK 17:41, 14 February 2012 (UTC) What is always quantized is the action. Quantization of the energy of an orbiting electron is a corollary. A...

...

incorporated by restricting node edges that would cause collisions. To handle quantization or discrete servo positions, you can represent the search space as a...

paragraph says "CSI needs to be estimated at the receiver and usually quantized and feedback to the transmitter..." In addition to the sentence having...

of the sound pressure (such that the encoding has more densely packed quantization levels for sound pressures where the auditory system is more sensitive...

lower bitrate, so presumably a trade-off is made between blur & DCT quantization type compression artifacts. DNxHD is probably high enough a bit rate...

...

...

Redshift quantization is not a documented idea, it is cited as a non-mainstream critique and that is discussed. Furthermore, disparaging quantized redshift...

that expansion did not take place. Quantized redshift in the standard theory is an anomaly. Expansion and quantization cannot both be true, they are inconsistent...

pdf is a survey article with more applications, such as deformation quantization and derived intersection theory Here's a link to a recorded school on...

June 2006 by Keenan Pepper. The "first quantization" idea is not appropriate to mention here. "Second quantization" means the use of raising and lowering...

g. h → 0 {\displaystyle h\rightarrow 0} ) are an important topic in quantization theory.CSTAR 16:13, 23 Jun 2004 (UTC) It has the dimensions of action...

came to the discussion page too, to point out that "Simply put it is a quantized LPC predictor" is NOT very simple to me at least... 88.88.114.151 (talk)...

the Beast, Heinlein quantizes that the many parallel, fictional universes - in terms of works of fiction. This usage of quantize is new to me. What, if...

Im prety sure a phonon is not just a quantized sound wave, but a quantized vibration, and therefore a quantized mechanical wave Psylabs (talk) 05:28,...

the Dithering#Etymology article: The concept of dithering to reduce quantization patterns was first applied by Lawrence G. Roberts[4] in his 1961 MIT...

with SHO (simple harmonic oscillator), since the energy of a SHO isn't quantized. Otherwise, I would need to work through math myself to say if there is...

mathematical process of creating halftones through the addition of noise in quantization errors is called dithering, and depending on the algorithm used is very...

orbitals in the first place? Why are electron energy levels quantized? They're quantized because they're confined to a very small space. The more you...

Speed Control System 3,453,562 July 1, 1969 Delta Modulator with Uniform Quantizing Steps 3,467,783 September 16, 1969 Speech Bandwidth Reduction by Sampling...

This page seems completely incomprehensible to me. Does anyone understand it? –Mulligatawny 03:21, 10 September 2005 (UTC) I'm in the audio coding field...

...

Planck level exclusions to the smooth spacetime of general relativity with quantized space and time (Planck length and Planck time) 76.66.197.30 (talk) 03:59...

2011 (UTC) The article states that it is a quantization, which makes this quantum aspect just as clear. Quantized excited states are commonly referred to...

(American sources often mess this up) and created a separate article? Second Quantization (talk) 21:28, 24 September 2014 (UTC) Technically a wife is Bean Uí,...

and quantum mechanics are not isomorphic. And there is no concept of quantization, but one of dequantization. Hans Tilgner — Preceding unsigned comment...

spacetime topology section . Mpatel Someone, I don't know why, decided that "Quantized" (refering to quantum effects as in quantum theory) should be replaced...

Seriously, what are you thinking? Second Quantization (talk) 09:46, 22 February 2015 (UTC) @Second Quantization: Your bias is readily apparent, and not...

Schroedinger equation, while the full relativistic theory involving "second quantization" is referred to as "quantum field theory". But then an alternative usage...

that we put distinguishable particles into energy levels. But if the quantization of thermal energy is correct. Why not put distinguishable energy quanta...

who does science for 4 years of their life is not a scientist. Second Quantization (talk) 17:02, 22 February 2014 (UTC) It seems clear to me you are forgetting...

mechanism. That may be a consequence of all background dependent spacetime quantization theories. Anway the POV warning is directed at HEIM. So put the warning...

rediscover it. And yet others make some dramatic claims regarding it's quantization, as a dark matter candidate. I am not yet comfortable with all the extra...

the quantization process. They're trying to shoehorn more bits through the system by reducing the possible steps from loud to soft during quantization. Is...

active research area. There is a steady stream of new work on feature quantization, compact features, how to include spatial information, etc. Jhhays (talk)...

additional note. :) — Dsimic (talk | contribs) 10:32, 16 January 2015 (UTC) Quantization is a compression technique whether or not it is hardware assisted. Thus...

143-157(15) Oldershaw, Robert L. (1995) New Light on Redshift Periodicities; Quantization in the Properties of Quasars and Planets. APEIRON Vol. 2, Nr. 2, Retrieved...

radiation used to be called cavity radiation) at thermodynamic equilibrium, quantized standing-wave wavemodes are set up. The wavemode nodes are always at the...

November 2021 (UTC) hi - could someone clarify the relation to Vector Quantization please? --mcld (talk) 09:21, 8 April 2010 (UTC) I suggest merging locality-preserving...

quantized. If we can clearly explain that idea then we can fan out to cover polarization, spin, etc. as instances of phenomena involving quantization...

there is no such thing as a wavefunction in the framework of second quantization: one only has field operators acting on vector elements of a Fock space...

misleading. The worst case error occurs when the signal is between the quantization points. In other words, when the signal is 1.5 volts, what is the error...

confinement and quantization: As the system gets larger, the quantization spacing decreases. So, in the infinite (unconfined) limit, quantization goes away...

Maybe we should name the real problems: Reduced color resolution and quantization. It would, for example, be possible to use the lossy jpeg, and use an...

WP:SECONDARY sources to make any characterization such as this, Second Quantization (talk) 07:53, 21 August 2014 (UTC) What has been described as a Police...

which requires an impartial tone, Second Quantization (talk) 21:03, 22 August 2014 (UTC) No, Second Quantization, I am not "trying to add a sentimental...

filter is a filter that, assuming infinite precision (no rounding or quantization) and assuming causality (h[n]=0 for all n<0), there exists a finite integer...

what would make a watermark not spread-spectrum. - The description of Quantization index modulution methods lack depth — Preceding unsigned comment added...

various meanings of quantum number, most especially its meaning as "a quantized degree of freedom for a particle". A symmetry/conservation section could...

when someone reverts you. Just use the edit summaries feature, Second Quantization (talk) 11:12, 8 March 2015 (UTC) The following discussion is an archived...

spinning sphere of charge, but this classical picture cannot fit the size or quantized nature of the electron spin. The property called electron spin must be...

news. That certainly is a low bar, Second Quantization (talk) 23:25, 19 September 2014 (UTC) Second Quantization Mention of this edit war appeared in the...

"Class-D" is sometimes misunderstood as meaning a "digital" amplifier. The quantization of the output signal at the power stage can be controlled by either an...

whole section to the issue, entitled ‘On the philosophical problems in quantizing macroscopic objects’,- ...I would like to suggest that it is possible...

corresponds to a noise level caused by a uniform fluctuation between two quantization levels. I think another way of saying this is that the sampled value...

Ashtekar Is a first order space-time theory possible? by Yaneer Bar-Yam The quantization of unimodular gravity and the cosmological constant problem by Lee Smolin...

it's a concept from Unicode. In fact a codepoint is a unique point in a quantized n-dimensional space, which is assigned a semantic meaning. In other words...

consequence of treating distance as measurable by real numbers, rather than quantized. (Which is a closer map to the physical universe is not yet know, and...

"Konfigurationsraum und zweite Quantelung" ("Configuration space and second quantization").[5][6] current version The Fock space is an algebraic construction...

incomplete attempt to explain how the quantization of action connects classical angular momentum to spin quantization. In the quantum version of Hamilton's...

status of this theory w.r.t. the mainstream research? Currently, e.g. Quantized inertia provides a much higher overall value for the reader. GregorB (talk)...

not looked at Fierz's work; I presume this is a statement about the quantization of the theory, and I guess its "well known" too, probably. I really am...

angular momentum on the molecular scale or below will be significantly quantized, but I don't think it's fair to characterize the Stern-Gerlach effect...

equivalent). The transformation could be called canonical when applied to the quantized position and momentum operators, or to the creation and annihilation operators...

risk is an arithmetic product, roughly. Observe that risk is generally quantized in units of value per time. In Aviation, the fatality impact of Level...

effect” missing a verb (like this “sentence”). It currently reads as ‘The quantization of the Hall effect \sigma_{xy} at integer multiples (the "Landau level")...

during every division operation, which manifests itself as quite audible quantization noise in the digital output. It provides no references, and in the late-80s...

"stakeholders" are generally not considered reliable sources. Second Quantization (talk) 19:23, 21 July 2014 (UTC) You are assuming that 'Science' only...

"spiral" closer to each other (although this actually takes place in quantized steps of decreasing radius), until their existence is terminated by electron-positron...

and as is now in the article: "The first type of quantum effect is the quantization of certain physical quantities. In the example we have given, of a free...

of the noise (e.g. sensor noise or quantization noise) do not depend upon the signal itself. Not true - quantization noise is a notable example of noise...

literature. Some authors in QFT use it though, e.g Walter Greiner in "Field Quantization". YohanN7 (talk) 04:06, 16 February 2013 (UTC) Ok - I'll introduce hats...

about Redshift quantization. Paal was the first who suggested it. In that scale it is wrong. But we are not discussing Redshift quantization. Please read...

the charge of a portion of space is measured, it is always found to be quantized, concentrated at one or more points as particles. I think it is good for...

such things. Current wikipedia articles on quantization topics are slim. There's also geometric quantization; it is also almost a stub. So topological...

such as Pure in heart and St. Joseph's Young Priests Society, Second Quantization (talk) 21:34, 5 March 2014 (UTC) ' The religious faith of the patrons...

to describe the selective sampling and subjective interpretation and quantization that Rotten Tomatoes does as "reporting", they don't report the scores...

minimum* at least be mentioned that it uses a logarithmic scale for quantization rather than the more standard linear scale. As far as I know it is significantly...

some light into ancient problems such as the justification for the old quantization rule of Bohr and Sommerfeld. where [10] is S. Deser, R. Jackiw and S...

screenshots also confirms the above. I can easily make a parrot image quantized to SNES colorspace, it's just a matter of figuring out how to upload it...

common term would be semiclassical, which is well defined and leads to quantization schemes under some classical approximations.--ReyHahn (talk) 02:11, 18...

something) to do with "Particle in Box" (no potential). The effect is quantization of momentum, and a normalization is possible within the (very large)...

it. RockMagnetist(talk) 17:10, 22 March 2016 (UTC) Should we add the quantized version of magnon calculation? Should we add the antiferromagnet case...

the conclusion that they were quantum effects (i.e. effects of field quantization), without taking the trouble to check whether they were present also...

g. camera systems before the signals hits any sample rate limiter and quantizer. [little-endian], 14.04.2024, 14:52 CET. 2A01:599:920:948D:DE:FE23:C08B:A814...

coding both still frames and motion-compensated residuals using Vector Quantization (VQ) in dimensions 1, 2, and 4. The resulting file (in the .AVS format)...

using a finite number of weights really meant using a finite number of quantized weights. It seems the weights come in increments of 0.25 oz. I suspect...

changing shape." That's not "any" magnification! It must be "discrete" (or "quantized") magnification, perhaps even integral. I also question whether the concept...

where you can around the approach to compression i.e. high-color mode, quantizer and so on. A lot of this seems reducible to stating that the developers...

us the frequency from the (known) energy, it is not an explanation of quantization effects. --GilHamiltonTheArm 14:21, 21 November 2006 (UTC) I have to...

blackbody radiation, quantization is a fundamental characteristic of light energy." Tipler has his history wrong. Einstein's idea of quantizing the light itself...

sudden urge to write it. A reference could be Walter Greiner, "Field Quantization". YohanN7 (talk) 21:35, 7 April 2013 (UTC) The notations are inconsistent...

2011.2173142.) Yes, it's true that the concepts of (classical) MIMO and (quantized) OAM blur into one another at a sufficiently small scale, and so OAM is...

are only affected if the magnitude of the noise is comparable to the quantization level of the signals. Why would this be different for field bus? 192...

worse quantization level on each R', G', B' component to make them fit in the limited bandwidth. When you use Y'CbCr, you can use better quantization for...

processing), Bandwidth (signal processing), Folding (signal processing), Quantization (signal processing), Innovation (signal processing), Noise (signal processing)...

decimal.getcontext().prec = precision # quantize pi to sepcified precision with specified rounding return pi.quantize(D('1e-'+str(precision-1)), rounding)...

1070/PU1983v026n08ABEH004484. However, with a pure QM (not extending it to the second quantization), there are necessarily some ad-hoc assumptions. E.g., the factor 1/2...

Classical into Newtonian and Relativistic, and Quantum into QM pre-second quantization, and QFT etc. Each of these subsections will have a line or two explain...

mixture of spin and orbital contributions. We demonstrate the half-integer quantization of this total angular momentum using noise measurements. We conclude...

number, AN of particles? You write "The actual energy per atom is quantized" Quantization effects are seen at energy levels related to the Planck constant...

where you can around the approach to compression i.e. high-color mode, quantizer and so on. A lot of this seems reducible to stating that the developers...

Floating point can easily cover all 16bit integer numbers without any quantization effects. Quite the contrary: 32 bit floating is able to cover integers...

1073/pnas.36.1.48. Schwinger, J. (1951). "On the Green's functions of quantized fields. I". PNAS. 37 (7): 452–455. Bibcode:1951PNAS...37..452S. doi:10...

bit changes the width of the uniform probability disribution of the quantization error amplitude by a factor of 2, which changes the variance = mean-squared...

Bohr explained the spectral lines of the hydrogen atom, again by using quantization, in his paper "On the Constitution of Atoms and Molecules" in which he...

course of his work is exactly what we expect. See WP:SECONDARY, Second Quantization (talk) 13:20, 14 July 2014 (UTC) In the lead it states "It has also been...

is no classical interpretation of an imaginary mass, the mass is not quantized. Rather, the scalar field is; even for tachyonic quantum fields, the field...

in the headline-introduction area. 1900 is the year that the idea of quantization is introduced into physics, and leads in 1905 to Einstein's explanation...

They can be thought of as warm-up exercises for the much harder task of quantizing gravity. Quantum gravity is believed to be background-independent (in...

capitalized. The claim of "worlds largest corporate intranet" should be quantized, dated, and referenced as the NMCI article makes a similar claim. As of...

redshift article. Where does someone find out about the theory of redshift quantization, "non-cosmological redshift", "intrinsic redshift" or the Wolf Effect;...

thinking discounts the possibility of Redshift Quantization, but http://en.wikipedia.org/wiki/Redshift_quantization indicates that during the 1980s and 1990s...

not menationed at all! A more modern example is William Tift's work on quantization of red shift. Proposed and supported with evidence in 1977, it has been...

asked first. As you've probably seen I moved several pages (Signal-to-quantization-noise ratio, Signal-to-noise_plus_interference) to try to make the naming...

representation inherit to mathematics. That is, bases, temporal coherency in quantization representation. Anyone whom wants an honest discussion of what can be...

"triangle board"), but different numbers and levels of repersentation bits(quantization range). so that, Full range RGB should not be equal to "x.v. YCC". Ghosthk...

User:ScienceApologist, like most of the people who edit this article, is aware of quantization of angular momentum. Second of all, you appear to be unfamiliar with...

...

equation. If you describe photons, you will use Maxwell's equation and quantize them as much as you can, if you look at electrons, you will deal with the...

the information. As with other entry histories, the history tab simply quantizes the revisions and additions made to the article, from typo corrections...

billion in India. Clearly there are vastly more hindus in India, Second Quantization (talk) 15:20, 20 September 2014 (UTC) I am talking of percentage not...

said quantization as a mathematical instrument, akin to Boltzmann's, and established the relationship e=hv without relating it to the quantization of eletromagnetic...

83.244.151.122 (talk) 09:26, 3 February 2016 (UTC) In laymen's terms, quantization is a method for optimally reducing a large numberscale (with different...

to remember. The password/passphrase is truly random. It is possible to quantize the strength associated with a diceware password. The only drawback of...

functions -dN variants for existing and new floating-point math functions quantizedN() samequantumdN() quantumdN() llquantexpdN() encodedecdN() decodedecdN()...

account, but the astrologers don't in the language they use etc. Second Quantization (talk) 23:45, 18 February 2014 (UTC) Your edit also watered down what...

BKS theory has no application, also Bohr's model and Bohr-Sommerfeld quantization remain as very crude rules of thumb. The category should not be confused...

are formally equivalent (but not identical) to some thermal energy, are quantized, and consequently have wave-particle duality. The particle representation...

"Quantum clock" either refers to all atomic clocks that are based on quantized energy levels or is related to theoretical formulation of the time concept...

to any fundamental forces; its an effect of quantization. linas 18:13, 23 July 2006 (UTC) But quantization of which field? That is, in practice, which...

continuous in space, but their probabilistic density is harmoniously quantized. Harmony means least common multiple, but because of the renormalization...

can play no more of a role in a quantization of spacetime than a particular classical orbit can play in the quantization of an electron." 70.247.175.236...

rarity of myocardial infraction as established by the literature. Second Quantization (talk) 15:06, 13 March 2014 (UTC) I'm not sure it's "established to be...

numerical values. This ignores the fact that data can be digitized by quantizing samples at specific levels, without ever assigning them "numbers". WilliamSommerwerck...

mention of quantized vortex lines, as seen in superfluids? A.C. Norman (talk) 13:26, 23 July 2009 (UTC) Feel free to write something on quantized vortex lines...

(talk) 03:08, 16 August 2013 (UTC) Consensus is against this move, Second Quantization (talk) 19:33, 16 July 2014 (UTC) The following discussion is closed....

is established by the OSR, the loop order and the number of bit of the quantizers: the bandwidth is given by the signal, and it fixed by the decimator filter...

unnecessary detail), and it is a nice example of how h pops up as the quantization factor in more than just the well-known position-momentum uncertainty...

think phase noise will. I've been looking at Signal-to-quantization-noise ratio and quantization error already. Again, a short paragraph here linking to...

for public modification. A separate article discussing phase changes, quantization, and general effects of low density of states might be nice, but this...

differences or refractive index differences, whose interactions are either quantized or not, are electromagnetic or not (phonons). There is a third issue:...

One reviewer called the following "a cemetery of buzzwords." I agree. Quantized spacetime In general relativity, spacetime is assumed to be smooth and...

a different cosmology, since it overturns Hubble expansion. Redshift quantization would also modify Lambda-CDM, since it's not easily explained within...

but I was surprised to see the omission of quantum entanglement and quantized states of motion of macroscopic objects. Perhaps we can get something...

sustained criticism he receives from scientists would violate NPOV. Second Quantization (talk) 18:39, 22 June 2014 (UTC) I also note, on a somewhat related matter...

between the two charges. Thus, the quantization of the EM field alone does not matter. Then if we add a quantized electron field to the mix, but still...

misuse "sampling" and "quantization". I wrote "sampling resolution of quantization". The ADC has to sample the amplitude and quantize it. My gosh how far...

of course, is that space-time bending and warping is an added bonus. Quantization and the graviton concept does not touch these issues, although many people...

neural coding, Neural coding and decoding: communication channels and quantization, A simple coding procedure enhances a neuron's information capacity,...

dropping the requirement of small (actually limit to zero) variances, the quantization error can directly be related to a lower bound of the GMM log-likelihood...

at least some redshifts are not related to distance, so that redshift quantization cannot be used to infer geo-concentric shells. Art Carlson 21:51, 2004...

point particle of spin s. Using Geometric Quantization (see: http://www.amazon.com/Geometric-Quantization-Oxford-Mathematical-Monographs/dp/0198502702/ref=pd_bbs_sr_1...

later idea I think? Could we say Bohr's key idea was relating shells to quantized energy of electrons, without having a clear picture of what keeps them...

direct relevance and is better than not mentioning it at all. Second Quantization (talk) 21:20, 31 August 2014 (UTC) Does anyone have a list of languages...

youtube.com/watch?v=w9x-omEIML0. If to look for solution in a form of quantized (piecewise constant) functions, than the code for building model is 10...

noun articles; they should be merged into the quantization article, along with telicity. Then the quantization article can be linked to in the mass/count...

the energy of the oscillators in the cavity was quantized" Why did Planck have to assume quantization? This seems like the key to understanding his findings...

modified theory is compatible with quantization of emr itself, which to me is a separate issue from the quantization of emr's interaction with matter....

2010 (UTC) Again I'd like to point out the quantization issue. PAR mentioned it in the last post. If quantization is considered, then each degree of freedom...

other solutions, in particular, continuous ones. To make concise that quantization is really a physically existing phenomenon, we need to argue that we...

eventually found precisely in mathematical terms by Planck in 1900, assuming quantized emission of radiation. This marks the advent of quantum mechanics. Kangro...

chaos is not a topic. It is a collection of topics that are related to quantized chaotic systems. Accordingly it should be a "gate" to other wiki pages...

idea that energy is quantized in order to derive a formula [...]" Planck didn't introduce the idea that energy actually was quantized (reluctantly or otherwise)...

the section: In quantum mechanics, the Dirac spinor... In the second quantization form of quantum field theory the Dirac spinor is ... In the path integral...

Interesting parallel with canonical quantization and quantum operators, right? This seems to be why BRST quantization is a thing, right? If only the formulas...

factor should be at least 88 to prevent sand. (If your jpeg editor uses quantization tables directly, ask me.) -phma the following was compressed at 60/255...

The channel will be quantized to 8 bits and so can only carry 16 bits per Hertz at the most. correction: channel is quantized (on both sides) at 13...

length of an object"? - Omegatron 00:23, May 31, 2005 (UTC) What does quantized mean? I keep running into and stumbling over this word! It means something...

control tones", used as one-time key for a Vernam-like cipher operating on QUANTIZED data. And it DEBUNKS that pre-WW-II voice encryption system A.1, A.2 or...

or are you merely going to object based on your own intuition? Second Quantization (talk) 08:51, 12 March 2014 (UTC) You call yourself a skeptic, but that's...

form is used in defining the Gerstenhaber algebra, used in both BRST quantization and in the Batalin–Vilkovisky formalism. No problem here, either. However...

elsewhere in the article, mainly quantization. We could toss it and put a very brief overview (3-5 sentences) in the quantization section. That'd work for me...

2005 (UTC) Heisenberg's quote "famous 'commutation relation' for the quantization condition that is at the basis of quantum mechanics" as shown on the...

simple harmonic oscillators, one for each possible wave-vector. Upon quantization, these coefficients become creation and annihilation operators for a...

a backward linear prediction loop and quantize the error signal with a backaward adaptive Laplacian quantizer. The bit rate of the four sub-bands, though...

language of film and video". Film and video share the capturing and quantization of image, but the contents run from MTV to home films, to animation,...

...

Bauer, M. Herrmann, and T. Villmann. Neural maps and topographic vector quantization. Neural Networks, 12:659-676, 1999]. The SOM (at best) is a topographic...

was resolved by Dirac, Klein, Heisenberg and whoever else did second quantization way back when. The recent publication is an analysis of the significance...

actually talking about GR, you're talking about the field theoretic quantization of perturbative GR. So when the article says that GR and quantum mechanics...

wrong--both were replaced by Maxwell's theory of light which (until quantization of the field became apparent from observations of line spectra and the...

geometrodynamics of spacetime. Such a constraint of IP is in effect a quantization condition and the resulting cyclic dynamics are claimed to formally match...

stimulated emission can be described classically. Generally, second quantization is important for the description only at low photon fluxes. Since Einstein...

emitted and absorbed by the resonators was continuous and wavelike (not quantized). Planck did not comfortably relinquish his devotion to the well established...

Redshift quantization has been suggested by various astronomers from time to time. Redshift surveys do not exhibit any trace of redshift quantization beyond...

mentioned. Nedim Ardoğa (talk) 07:39, 16 September 2010 (UTC) I suppose that quantization noise might be mentioned, but the section is probably making the point...

thought, since compensation would be salary + travel expenses etc. Second Quantization (talk) 20:39, 17 September 2014 (UTC) In favor of removal WP:BLPPRIMARY...

"first quantized bosonic"? I would have no idea myself, just asking--Billymac00 (talk) 02:31, 16 September 2010 (UTC) - Yes, it should be quantized. 65.32...

Newtonian time means time in daily life, as opposed to other forms of time (quantized, warped, fingered, etc.) that are theoretical. So wouldn't all economics...

will take care of the English variety: I see "kilometre" as well as "quantization", please check for others. Otherwise nice work, congratulations. AhmadLX-)¯\_(ツ)_/¯)...

intuitive level; it's not really about whether those things are in fact quantized. --Trovatore (talk) 19:44, 5 April 2023 (UTC) I tend to agree that the...

considerable weight in this article to his skepticism of bullshit. Second Quantization (talk) 21:31, 7 July 2015 (UTC) Wow, after reading Talk:Gabor_B...

I understand correctly, the "artifacts" you speak of are a result of quantization (signal processing), a separate stage which, in modern devices, usually...

the following sentence: "This confinement leads to (...) and to the quantization of charge in units of the elementary electric charge e" I agree that...

them: video compression video coding video codec JPEG quantization (image processing) color quantization multimedia compression H.262 digital video interlace...

the encoding. FLAC is lossless. JPEG can be lossless with a particular quantization matrix. Both FLAC and JPEG are definitely codecs. Cburnett 13:07, 12...

smarter than me should address this. However, we have been using canonical quantization, and vacuum graphs for some time, and yet we have never mentioned the...

important thing to know right off the bat is that quantum mechanics means quantization and that it's the best theory we've got right now (argue that one with...

a long time, it was only Einstein and a few others that believed in quantization of the EM field, and the photon. Maybe some day they will make voltmeters...

is optimal because it linearizes the quantization. Then they show through simulations that the 1-bit quantizer invariably introduces distortion. But...

answer for. If you take the electric field and the magnetic field, and quantize them according to the usual rules of quantum mechanics, you get photons...

seems there is too little in the table for it to be a table, Second Quantization (talk) 19:19, 27 August 2014 (UTC) Hi Tom - I'm Amy (aka acwein). I see...

definition for the inf theory/DSP sampler. Digitization is sampling and quantizing. As the def said, sampling converts a continuous signal to a discrete...

infobox gives the mean, variance, and generating functions not for the quantized categorical distribution but for the Iverson bracket, meaning that instead...

they be put in with the quantization article. But that also covers telicity, so perhaps all three should be in the quantization article? Alternatively...

applied to very old analog cordless phones, most likely). Aside from the quantization noise of a DA/AD trip, I think most of these issues have been addressed...

punk emphasize the digital realm from which their music comes is strict quantizing of most of the samples, which is a long way of saying "letting the computer...

clarity in use of concepts, and just vagueness in general. The section on quantized spacetime should make reference to the work of David Finkelstein, one...

irrelevant. We go by what gets written. I really deplore the attacks on SecondQuantization on these grounds, & I equally deplore his attacks on Atsme. I very much...

Hilbert-space components, has been suggested by Everett) in connection with the quantization of general relativity, and called the "relative state interpretation"...

(not necessarily EM), then any type of quantum wave (the Maxwell EM wave quantized on detection for photons, the Scrödinger wave for object containing fermions)...

gradations and 2^5 blue gradations. For digital output are the values quantized to the nearest 2^8 R/G/B value? 104.228.101.152 (talk) 17:09, 14 December...

often known to be chaotic; what general statements can be said about the quantized system? In scattering theory, one bounces two hilbert spaces off of one-another...

What's the dynamic range of this "image"? There is no noise (apart from quantization noise) and the data type is array of 64-bit double. In case of photography...

by the head of the household, Second Quantization (talk) 20:52, 9 September 2014 (UTC) Agreed, Second Quantization. Statistical analysis is subject to...

disparities ("analogue"; "unlike HDCD, XRCD refers purely to the optimal quantization of the source materials" - which is precisely what HDCD does), I have...

mechanics. Beats the pants offa me, but I'm seeing people writing about BRST quantization and claiming this solves generic stochastic differential equations or...

a criticism attributed to the American Enterprise Institute, Second Quantization (talk) 17:58, 17 September 2014 (UTC) (edit conflict)Again, the issue...

the amplitude of the oscillations. The Born-Sommerfeld semiclassical quantization relates these two nice properties of the classical potential r^2 to the...

permutations e.g. using Lehmer code or points on sphere e.g. in pyramid vector quantization. Recurrence to calculate the number of objects can be transformed into...

dependence is well known to arise from intramolecular forces causing highly quantized molecular vibrations which may or may not be thermally accessible at a...

this type of negative energy is well understood to go away in second quantization.Likebox (talk) 00:26, 9 December 2009 (UTC) Metric Completeness and Singularity...

discretization of energy levels. XOR'easter (talk) 16:46, 16 December 2023 (UTC) Quantization is much more important for than two examples deep in the article would...

phrasing in this paper is: "Here we present data on a completely spatially quantized system (which by extrapolation we define as 'quantum dots') where ..."...

display. ----One simple pattern revealed using Splines is the clear quantization level on the ||-axes that best describes the data distribution, even...

all the mathematical "hype" about Maxwell's generalized equations, the quantization condition, Dirac strings and topology... Is that it? Forgive me, but...

Angular momentum can change only by integer multiples of ℏ, that is, it is quantized. --David R. Ingham 23:45, 8 August 2005 (UTC) Revised in format--David...

(ring) configuration. It would have one unit of angular momentum and two quantized energy concentrations with opposite electric fields. Each energy concentration...

mechanics, the so-called action-angle coordinates, which is quantized in Bohr-Sommerfeld quantization as ∮ p d q = n h {\displaystyle \oint pdq=nh} with h Planck's...

October 4, 1989 Granted: September 4, 1990 [25] US 5,072,295 -- Adaptive quantization coder/decoder with limiter circuitry -- Filed: August 20, 1990 Granted:...

sensitivity to blue is not an obvious or sensible reason for using coarser quantization there. The lower resolution for blue is more likely, but still dubious...

being put forward for the claims. Second Quantization (talk) 18:39, 18 July 2014 (UTC) User:Second Quantization, please return to the text in the box at...

about body mass index, not mathematics. Fine details of the theory of quantization are not necessary. The above discussion of adding ("rounding to nearest...

some discussion about the physics of it here, then perhaps it will be quantized. I've seen the websites that go into the detail, like the only you referenced...

kernel for the harmonic oscillator that is 1-summable. Since second quantization in QFT is built on top of harmonic oscillators, we can make use of this...

still be a pseudoscience in terms of the claims it makes etc. Second Quantization (talk) 12:03, 8 March 2014 (UTC) Here is more details about the proposal...

quasars in the survey would show quantization. 2dF showed that they did not. This is basically the death-knell for quantization of redshifts. -user unknown...

the very same extended transfer function. But it also used different quantization to preserve highlights for HDR, Superwhite was used to show it on TV...

and assumptions which had no justification at the time. Why SHOULD L be quantized in units of h/2pi??-- there's no good reason for it. Why SHOULD the orbital...

redshift Spotted the relation yet? Regarding tried light and redshift quantization, Paul Laviolette in Astrophysical Journal (peer reviewed), notes that...

braneworld. The Fierz-Pauli spin-two theory was an optimistic attempt to quantize general relativity, but it turned out to be internally inconsistent. Pascual...

degrees of change of the original spin etc. Black holes come only in quantized sizes, but that's not astrophysically detectable because astronomically...

most-important one, and the closing sentence in the introduction, that on "2nd quantization", should be noted; I repeat, it should definitely be noted. - Regards...

exclusion principle to be handled all at once. Finally there is second quantization, QED, relativistic effects and so forth. And at the same time, it is...

there is a DAC. The target is 8 bits, but liniear PCM has too much quantization noise so they compand it. DACs can't sample non-linearly, so the DAC...

apply, with the added complication that the digitized signals include quantization noise, rounding and truncation errors that also impact fidelity as well...

fields are "made" of. They are virtual photons, not real photons! In the quantization of static fields, and fields which do not have the correct ratio of E...

conduction theory there. I feel it is important for readers to understand that charge comes quantized as particles. --ChetvornoTALK 19:01, 9 June 2025 (UTC)...

are the only things that are there, you must pick one or the other to quantize, and you certainly can't get them all with the triangle, so you must use...

8kHz with 8 bit samples. This means a Nyquist limit of 4 kHz an ideal quantization noise of about 48 dB (maybe even 54 dB if you use half of 256). If you...

https://en.wikipedia.org/wiki/Dithering * https://en.wikipedia.org/wiki/Quantization_%28signal_processing%29 Joey192 (talk) 15:54, 19 April 2014 (UTC) The...

forbidden in principle), but maybe that is not necessary? Since the quantization of detections is a finer nuance, it might be better to be left for the...

Susskind world hologram conjecture of volume without volume and the quantization of area in Planck units given by Bekenstein and Hawking seem to be natural...

atomic size magnetic moments depend heavily on the relationship with the quantized angular momentum engineering devices such as electromagnets, permanent...

"It is also unnecessary to use quantized light waves in the pair production problem, since the results with quantized waves are known to be identical...

seamlessly lead to the next level, scientifically. The introduction of quantization of all energies, molecular energies on quant. levels specifically (simple...

example... There's more to electromagnetism then Maxwell's equations (or quantized versions) would have you believe, and these effects should be highlighted...