Matrix multiplication example.
Fundamental since deep learning is mostly matrix multiplication.
Minimal example. Gives a hint at how boilerplate heavy Sphinx can be!
List of Cole Prize winners affiliated with the Institute for Advanced Study by 
Wikipedia Bot 0 1970-01-01
Wikipedia Bot 0 1970-01-01The Cole Prize is awarded for outstanding work in certain fields of mathematics. The Institute for Advanced Study (IAS) in Princeton, New Jersey, has been affiliated with several Cole Prize winners over the years.
The Carl Friedrich Gauss Prize is an award established by the International Mathematical Union (IMU) to recognize significant contributions to mathematics that have been influenced by the work of the German mathematician Carl Friedrich Gauss. The prize is typically awarded to mathematicians who have made substantial advances in the field, particularly those that demonstrate a strong connection to the principles and techniques developed by Gauss.
The hello world!
The Bartolozzi Prize is an award typically given to recognize outstanding contributions in the fields of engraving and printmaking. Named after the Italian engraver Francesco Bartolozzi, the prize aims to honor artists and artisans who have made significant strides in these areas. Often associated with artistic institutions or competitions, the specifics regarding eligibility, application process, and the prize itself can vary.
Forest Ray Moulton (1872–1952) was an American astronomer and astrophysicist known for his contributions to celestial mechanics and the study of planetary formation. He is perhaps best remembered for his work on the "Moulton-Patterson hypothesis," which deals with the formation of the solar system and addresses how planets and other celestial bodies come into existence through processes involving dust and gas in space.
The Caccioppoli Prize is an award given in recognition of outstanding contributions in the field of mathematics, particularly in areas related to analysis and partial differential equations. It is named after the Italian mathematician Renato Caccioppoli, who made significant contributions to mathematics, especially in the 20th century. The prize is typically awarded to young mathematicians to promote and encourage research in mathematics.
This is an example of the
qiskit.circuit.library.QFT implementation of the Quantum Fourier transform function which is documented at: docs.quantum.ibm.com/api/qiskit/0.44/qiskit.circuit.library.QFTOutput:So this also serves as a more interesting example of quantum compilation, mapping the
init: [1, 0, 0, 0, 0, 0, 0, 0]
qc
┌──────────────────────────────┐┌──────┐
q_0: ┤0 ├┤0 ├
│ ││ │
q_1: ┤1 Initialize(1,0,0,0,0,0,0,0) ├┤1 QFT ├
│ ││ │
q_2: ┤2 ├┤2 ├
└──────────────────────────────┘└──────┘
transpiled qc
┌──────────────────────────────┐ ┌───┐
q_0: ┤0 ├────────────────────■────────■───────┤ H ├─X─
│ │ ┌───┐ │ │P(π/2) └───┘ │
q_1: ┤1 Initialize(1,0,0,0,0,0,0,0) ├──────■───────┤ H ├─┼────────■─────────────┼─
│ │┌───┐ │P(π/2) └───┘ │P(π/4) │
q_2: ┤2 ├┤ H ├─■─────────────■──────────────────────X─
└──────────────────────────────┘└───┘
Statevector([0.35355339+0.j, 0.35355339+0.j, 0.35355339+0.j,
0.35355339+0.j, 0.35355339+0.j, 0.35355339+0.j,
0.35355339+0.j, 0.35355339+0.j],
dims=(2, 2, 2))
init: [0.0, 0.35355339059327373, 0.5, 0.3535533905932738, 6.123233995736766e-17, -0.35355339059327373, -0.5, -0.35355339059327384]
Statevector([ 7.71600526e-17+5.22650714e-17j,
1.86749130e-16+7.07106781e-01j,
-6.10667421e-18+6.10667421e-18j,
1.13711443e-16-1.11022302e-16j,
2.16489014e-17-8.96726857e-18j,
-5.68557215e-17-1.11022302e-16j,
-6.10667421e-18-4.94044770e-17j,
-3.30200457e-16-7.07106781e-01j],
dims=(2, 2, 2))QFT gate to Qiskit Aer primitives.If we don't
transpile in this example, then running blows up with:qiskit_aer.aererror.AerError: 'unknown instruction: QFT'The second input is:and the output of that approximately:which can be defined simply as the normalized DFT of the input quantum state vector.
[0, 1j/sqrt(2), 0, 0, 0, 0, 0, 1j/sqrt(2)]From this we see that the Quantum Fourier transform is equivalent to a direct discrete Fourier transform on the quantum state vector, related: physics.stackexchange.com/questions/110073/how-to-derive-quantum-fourier-transform-from-discrete-fourier-transform-dft
Dummy example of using a React
ref This example is useless and to the end user seems functionally equivalent to react/hello.html.It does however serve as a good example of what react does that is useful: it provides a "clear" separation between state and render code (which becomes once again much less clear in React function components.
Notably, this example is insane because at:we are extracing state from some random HTML string rather than having a clean JavaScript variable containing that value.
<button onClick={() => {
elem.innerHTML = (parseInt(elem.innerHTML) + 1).toString()In this case we managed to get away with it, but this is in general not easy/possible.
The Berwick Prize is awarded for outstanding contributions in the field of mathematics, particularly recognizing significant advancements or achievements in pure mathematics. Established in honor of mathematician Thomas Berwick, this prize is typically given to early-career mathematicians, acknowledging their innovative work and potential to further impact the discipline. Specific details about the award, such as its administering organization or selection criteria, may vary, so it's advisable to check the most current sources or official announcements related to the prize for the latest information.
B–Bbar oscillation refers to a phenomenon in particle physics involving B mesons, which are composite particles made up of a bottom quark (b) and either an up quark (u) or a down quark (d) (or their corresponding antiquarks). The term "Bbar" represents the antiparticle of the B meson, specifically consisting of a bottom antiquark and an up or down quark.
TODO: the interrupt is firing only once:
Adapted from: danielmangum.com/posts/risc-v-bytes-timer-interrupts/
Tested on Ubuntu 23.10:Then on shell 1:and on shell 2:GDB should break infinitel many times on
sudo apt install binutils-riscv64-unknown-elf qemu-system-misc gdb-multiarch
cd riscv
makeqemu-system-riscv64 -machine virt -cpu rv64 -smp 1 -s -S -nographic -bios none -kernel timer.elfgdb-multiarch timer.elf -nh -ex "target remote :1234" -ex 'display /i $pc' -ex 'break *mtrap' -ex 'display *0x2004000' -ex 'display *0x200BFF8'mtrap as interrupts happen.The Louis Bachelier Prize is an award that recognizes outstanding contributions to the fields of finance, mathematics, and statistics, particularly in the areas related to the mathematical modeling of financial markets and the theory of risk. Named after Louis Bachelier, a pioneering French mathematician who is regarded as a foundational figure in the field of mathematical finance, the prize aims to honor scholars and researchers whose work reflects the spirit of Bachelier's contributions.
Pinned article: ourbigbook/introduction-to-the-ourbigbook-project
Welcome to the OurBigBook Project! Our goal is to create the perfect publishing platform for STEM subjects, and get university-level students to write the best free STEM tutorials ever.
Everyone is welcome to create an account and play with the site: ourbigbook.com/go/register. We belive that students themselves can write amazing tutorials, but teachers are welcome too. You can write about anything you want, it doesn't have to be STEM or even educational. Silly test content is very welcome and you won't be penalized in any way. Just keep it legal!
Intro to OurBigBook
. Source. We have two killer features:
- topics: topics group articles by different users with the same title, e.g. here is the topic for the "Fundamental Theorem of Calculus" ourbigbook.com/go/topic/fundamental-theorem-of-calculusArticles of different users are sorted by upvote within each article page. This feature is a bit like:
- a Wikipedia where each user can have their own version of each article
- a Q&A website like Stack Overflow, where multiple people can give their views on a given topic, and the best ones are sorted by upvote. Except you don't need to wait for someone to ask first, and any topic goes, no matter how narrow or broad
This feature makes it possible for readers to find better explanations of any topic created by other writers. And it allows writers to create an explanation in a place that readers might actually find it.
Figure 1. Screenshot of the "Derivative" topic page. View it live at: ourbigbook.com/go/topic/derivativeVideo 2. OurBigBook Web topics demo. Source. - local editing: you can store all your personal knowledge base content locally in a plaintext markup format that can be edited locally and published either:This way you can be sure that even if OurBigBook.com were to go down one day (which we have no plans to do as it is quite cheap to host!), your content will still be perfectly readable as a static site.
- to OurBigBook.com to get awesome multi-user features like topics and likes
- as HTML files to a static website, which you can host yourself for free on many external providers like GitHub Pages, and remain in full control
Figure 2. You can publish local OurBigBook lightweight markup files to either OurBigBook.com or as a static website.
Figure 3. Visual Studio Code extension installation.
Figure 5. . You can also edit articles on the Web editor without installing anything locally. Video 3. Edit locally and publish demo. Source. This shows editing OurBigBook Markup and publishing it using the Visual Studio Code extension. 
- Infinitely deep tables of contents:
All our software is open source and hosted at: github.com/ourbigbook/ourbigbook
Further documentation can be found at: docs.ourbigbook.com
Feel free to reach our to us for any help or suggestions: docs.ourbigbook.com/#contact