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This is not a truly "fundamental" constant of nature like say the speed of light or the Planck constant.
Rather, it is just a definition of our Kelvin temperature scale, linking average microscopic energy to our macroscopic temperature scale.
The way to think about that link is, at 1 Kelvin, each particle has average energy:per degree of freedom.
For an ideal monatomic gas, say helium, there are 3 degrees of freedom. so each helium atom has average energy:
Another conclusion is that this defines temperature as being proportional to the total energy. E.g. if we had 1 helium atom at 2 K then we would have about energy, 3 K and so on.
This energy is of course just an average: some particles have more, and others less, following the Maxwell-Boltzmann distribution.
chemistry.stackexchange.com/questions/7696/how-do-i-distinguish-between-internal-energy-and-enthalpy/7700#7700 has a good insight:
To summarize, internal energy and enthalpy are used to estimate the thermodynamic potential of the system. There are other such estimates, like the Gibbs free energy G. Which one you choose is determined by the conditions and how easy it is to determine pressure and volume changes.
OK, can someone please just stop the philosophy and give numerical predictions of how entropy helps you predict the future?
The Unexpected Side of Entropy by Daan Frenkel
. Source. 2021.- www.quantamagazine.org/what-is-entropy-a-measure-of-just-how-little-we-really-know-20241213/ What Is Entropy? A Measure of Just How Little We Really Know. on Quanta Magazine attempts to make the point that entropy is observer dependant. TODO details on that.
TODO can anything interesting and deep be said about "why phase transition happens?" physics.stackexchange.com/questions/29128/what-causes-a-phase-transition on Physics Stack Exchange
Refrigerator - How Does It Work? by Curiosity Show
. Source. For scales from absolute 0 like Kelvin, is proportional to the total kinetic energy of the material.
The Google Story Chapter 21. A Virtual Library mentions that Paul Allen was interested in trying to create something like the "Final Encyclopedia" from this book. This is somewhat the same motivation for Google Books and Google's activities more broadly, as shown in their organise the world's information mission statement.
XML file format (but with 99% of the action of interest in a domain-specific language on the
CsInstruments and CsScore elements) that can be played and the reference implementation. Offers complex effects out-of-box apparently.Allows you to easily define instruments with seemingly arbitrary mathematical functions, and then use them to play notes at given time intervals.
The instrument functions can be parametrized, and each note played can have different parameters.
The instrument definition actually defines a block diagram graph, much like a hardware synthesizer would.
Csound is so not-bloated that it contains an UI system. And it includes an interactive virtual MIDI keyboard that interacts with parameter knobs: www.csounds.com/manual/html/MidiTop.html
But hey, it's fun. And like any other good domain-specific language, debugging it is barbaric of course.
If only it had been written in Python... the array manipulation boilerplate would be likely perfect for NumPy, and this would have been exactly what Ciro Santilli wanted!
CSound states that one of its design goals is backward compatibility, and it shows. Some of the stuff is utterly arcane, e.g. you have to remember what
GEN10, GEN11, etc. mean instead of having named enums.It just worked on Ubuntu 20.04 no questions asked:which runs this file: github.com/csound/csound/blob/92409ecce053d707360a5794f5f4f6bf5ebf5d24/examples/xanadu.csd and this plays a relly cool sound demo:
sudo apt install csound
git clone https://github.com/csound/csound
cd csound
git checkout 92409ecce053d707360a5794f5f4f6bf5ebf5d24
csound examples/xanadu.csdSave to file instead of playing:or direct ogg output:or pipe to stdout to FFmpeg TODO: stackoverflow.com/questions/64970503/how-to-pipe-csound-output-to-ffmpeg-for-conversion-without-an-intermediate-file
csound -o xanadu.wav xanadu.csdcsound --ogg -o xanadu.ogg xanadu.csdTODO find the most amazing set of songs made with it on GitHub? Some examples:
- www.csounds.com/toots/index.html has a good 101 on instrument design
- Csound FLOSS manual
- iainmccurdy.org/csound.html about 100 CC BY-SA examples. Each is a minimal study showing a specific technique, not a full composition, some seem advanced. Dude's a beast.
- github.com/csound/csound/tree/f2e70825fb543a6b15011c6984371f61ab2a00dd/tests/soak in-tree minimal examples
- github.com/csound/manual/tree/4049b286493d972ff7248b5596e47e7ae97a0cf9/examples contains the examples for the manual which is rendered at: It's insane, but it's fun! Ah those newbs who separate manuals from main tree.
- linuxsynths.com/CsoundPatchesDemos/csound.html on LinuxSynths
- github.com/csound/examples/tree/ae578159328178142c1055c7f78e28b42eb29774/csd as a few dozen examples
- freaknet.org/martin/audio/csound/ 10 pieces with source
Documentation-wise, it's a bit lacking. The only dude who can explain it really well, Dr Richard Boulanger, made the "The Csound Book" closed source, so, congrats, this will forever hurt the popularity of Csound.
Examples:
- csound/sine.csd
- csound/amplitude_frequency.csd
- csound/linen.csd: simple attack/release envelope, documented at: www.csounds.com/manual/html/linen.html
- csound/chorus.csd: chorus effect
- csound/bend.csd: bend using
linseg - csound/vibrato.csd
- csound/crossfade_generators.csd
- csound/table.csd
- csound/virtual_keyboard.csd
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Intro to OurBigBook
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