The fundamental problem is that many measurement errors such as quantisation are correlated, and the laws of large numbers only apply up to a certain point. From Wordnik.com. [Milestone « Climate Audit] Reference
It was not expected, however, that the quantisation rule would apply with a high accuracy. From Wordnik.com. [Press Release: The 1985 Nobel Prize in Physics] Reference
But it does very definitely matter that quantisation errors are correlated with the true value, and with each other. From Wordnik.com. [Karl and Hansen Condemn Poor USHCN Metadata « Climate Audit] Reference
But in climate measurements there are a whole range of temperatures that occur, and the quantisation error is each case will be different. From Wordnik.com. [Karl and Hansen Condemn Poor USHCN Metadata « Climate Audit] Reference
If we try to just copy the quantisation of the electromagnetic field in terms of photons we should quantize the gravity field into so-called gravitons. From Wordnik.com. [Forces] Reference
Japan and other countries have carried out very detailed investigations of the precision of the quantisation, in order to be able to use the effect as a standard. From Wordnik.com. [Press Release: The 1985 Nobel Prize in Physics] Reference
When I was an undergraduate in the late eighties, we had tabletop discussion about the CA thing, and if they could be scaled into a continous limit, or related to quantisation, or whatever. From Wordnik.com. [A New Kind of Science? « Imaginary Potential] Reference
I understand median as the middle value regardless of distribution and since temperature has infinite variability, ignoring quantisation, the middle value would be midpoint between the two. From Wordnik.com. [Unthreaded #15 « Climate Audit] Reference
That is, only fields need to be included in the fundamental concepts, and ˜particles™ are a derived concept, unlike what is suggested by the customary introduction of fields through a process of ˜second quantisation™. From Wordnik.com. [...anything but love...] Reference
Now whether the quantisation pushes it up or down depends on whether those true values close to the half way points change relative frequencies depending on the precise value; the unambiguous ones always get pushed the same way. From Wordnik.com. [Karl and Hansen Condemn Poor USHCN Metadata « Climate Audit] Reference
For example, your equation for the conductivity of solutions of strong electrolytes, your famous solution of the Ising problem, making possible a theoretical treatment of phase changes, or your quantisation of vortices in liquid helium. From Wordnik.com. [Nobel Prize in Chemistry 1968 - Presentation Speech] Reference
You can improve a little on the nominal quantisation by averaging, since some of the ambiguous cases can be influenced by where they are, but below a certain resolution no information can get through the filter of observation, and the accuracy cannot be improved beyond this point. From Wordnik.com. [Karl and Hansen Condemn Poor USHCN Metadata « Climate Audit] Reference
• Contouring: Visible on critical scenes when using 8-bit quantisation of video. From Wordnik.com. [Recently Uploaded Slideshows] Reference
Encode manually to quant 3 and choose a better quantisation matrix, one like the Fox Home Entertainment. From Wordnik.com. [VideoHelp.com Forum] Reference
If blocking is likely (e.g. on a DVD if the encoded bit-rate will exceed 8 Mbit/s), quantisation is reduced. From Wordnik.com. [Recently Uploaded Slideshows] Reference
Analyses issues of sampling, randomised and pseudo-randomised quantisation and direct and indirectly randomised sampling. From Wordnik.com. [AvaxHome RSS:] Reference
In an audio conferencing system each person's speech is sampled 4000 times per socond and 256 quantisation levels are used for each sample. From Wordnik.com. [Yahoo! Answers: Latest Questions] Reference
Even figuring out what is "the" quantisation of certain operators is hard enough, but figuring things out in reverse is something I haven't really seen much on. From Wordnik.com. [Discover Blogs] Reference
Ray, 352, you're incorrect, to all intents and purposes, the energy levels absorbed by a solid are not discrete absorption spectra, since the intra-molecular energy is so loosely quantised, there is no effective quantisation level. From Wordnik.com. [RealClimate] Reference
If your ears aren't spoiled by modern production and fine-grain quantisation, and you're not looking for dazzling displays of virtuosity or precision of any sort, then you will definitely enjoy the raw resonance and sonic splendours of this album, especially given that it was released in. From Wordnik.com. [Latest reviews @ Progarchives.com, the ultimate progressive rock music website] Reference
And even if it weren't, the result is still the same: energy partitioned out into measures that are statistically distributed in a manner that obeys the Boltzman law, which is the derivation (along with the quantisation of photons that stops the UV catastrophe) of the black body radiation. From Wordnik.com. [RealClimate] Reference
Re to your PS, nope, the quantisation doesn't exist except on the planck scale, since the velocity of each emitter is distributed as per Boltzman equation and the uncertainty principle likewise causing a spread in the frequency of any "discrete" photon emission to ensure that energy is spread throughout the spectrum. From Wordnik.com. [RealClimate] Reference
(In fact, one can combine the physical and frequency domains together into a product domain known as phase space, and there are entire fields of mathematics (e.g. microlocal analysis, geometric quantisation, time-frequency analysis) devoted to performing analysis on these sorts of spaces directly, but this is beyond the scope of this course.). From Wordnik.com. [What's new] Reference
(sometimes), number of passes (sometimes), and quantisation matrix. From Wordnik.com. [VideoHelp.com Forum] Reference
I think what you are trying to say is that quantisation errors are correlated, so if the true value is 5.028 you’ll get 5.0 or 5.1 reported depending on the observer’s personal biases, and if the true value changes to 5.032, you still get 5.0 and 5.1 reported with the same frequencies. From Wordnik.com. [Karl and Hansen Condemn Poor USHCN Metadata « Climate Audit] Reference
It’s the one with the “Bohr atom” that we learn about in undergrad QM courses: Not only are the spectral lines of hydrogen derived from a quantisation postulate on the electron, but the Rydberg constant, previously thought to be a fundamental constant of nature, is derived in terms of the “real” fundamental constants (electron charge and mass and Planck constant). From Wordnik.com. [The Greatest Physics Paper!] Reference
352, you're incorrect, to all intents and purposes, the energy levels absorbed by a solid are not discrete absorption spectra, since the intra-molecular energy is so loosely quantised, there is no effective quantisation level. From Wordnik.com. [RealClimate] Reference
But that isn't quantisation, Rod. From Wordnik.com. [RealClimate] Reference
That isn't quantisation. From Wordnik.com. [RealClimate] Reference
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