A way to write the wavefunction such that the position operator is:i.e., a function that takes the wavefunction as input, and outputs another function:
If you believe that mathematicians took care of continuous spectrum for us and that everything just works, the most concrete and direct thing that this representation tells us is that:equals:
the probability of finding a particle between and at time
Derived from classical first principles, matches Planck's law for low frequencies, but diverges at higher frequencies.
The most important type of lens is the biconvex spherical lens.
For an example, see E. Coli K-12 MG1655 operon thrLABC.
Multiple different transcription units can be produced by a single operon, see: operon vs transcription unit.
NCBI online tool to find and view all open reading frames in a given FASTA: www.ncbi.nlm.nih.gov/orffinder/
Interesting because of the Cook-Levin theorem: if only a single NP-complete problem were in P, then all NP-complete problems would also be P!
We all know the answer for this: either false or independent.
Conceptually the simplest mesons. All of them have neutral color charge:
- charged: down + anti-up or up + anti-down, therefore with net electrical charge electron charge
- neutral: down + anti-down or up + anti-up, therefore with net electrical charge 0
However, many, many, many terrible horrors come with it:
- it hasn't made the move to desktop for too many years. It could destroy Microsoft Windows and replace it with open source, but they just won't budge towards an unified mobile/desktop setup.
- vendors litter it with uninstallable bloatware that should be illegal. European Union to the rescue!!! www.cnbc.com/2020/12/15/digital-markets-act-eus-new-rules-on-big-tech.html
- vendors lock down devices so it is very hard to get sudo, let alone to modify their images!
- there isn't enough hardware standardization for open source distros to thrive like on desktop
- code drops mean that "master" is useless and trying to contribute from outside vendors' closed walls is a waste of time: stackoverflow.com/questions/1809774/how-to-compile-the-android-aosp-kernel-and-test-it-with-the-android-emulator/48310014#48310014
- if you ever go below the Java API, e.g. to C++ or AOSP build, everything is horrendous and undocumented
- Google doesn't care about the CLI, even the hello world requires creating infinite out-of-control boilerplate from a GUI: stackoverflow.com/questions/20801042/how-to-create-android-project-with-gradle-from-command-line/46994747#46994747
- the boot is uber bloated and takes forever in cycle simulators
- 1982 www.pnas.org/doi/pdf/10.1073/pnas.80.6.1579 DNA fragments differing by single base-pair substitutions are separated in denaturing gradient gels by Fischer and Lerman (1982). It is possible then.
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