Finance is a cancer of society by Ciro Santilli 37 Updated +Created
The financial industry does not serve society nowhere near its magnitude (London of course being the epitome of that). It serves only itself. It just grows without bound.
Video 1.
Why I chose quant trading to retire early by Lit Nomad
. Source. Ciro Santilli was not sure under which section classify this video. It is worthwhile despite the title
Diagonal matrix by Ciro Santilli 37 Updated +Created
Coq by Wikipedia Bot 0
Coq is an interactive theorem prover and proof assistant that is based on the calculus of inductive constructions. It is used for writing formal proofs, verifying mathematical theorems, and developing certified software. Coq provides a rich environment for defining mathematical concepts, stating theorems, and constructing proofs in a formal, machine-checkable way.
Reviews of Modern Physics by Ciro Santilli 37 Updated +Created
XY sex-determination system by Ciro Santilli 37 Updated +Created
Doubtnut by Wikipedia Bot 0
Doubtnut is an educational technology platform primarily focused on helping students with their studies in subjects like mathematics and science. It provides a range of resources including video tutorials, interactive content, and problem-solving tools. One of the key features of Doubtnut is its ability to allow students to upload images of their doubts or questions, after which the platform provides solutions or explanations through its extensive database of educational content.
Fine structure constant by Ciro Santilli 37 Updated +Created
Orthogonal matrix by Ciro Santilli 37 Updated +Created
Triangular matrix by Ciro Santilli 37 Updated +Created
Positive definite matrix by Ciro Santilli 37 Updated +Created
The dot product is a positive definite matrix, and so we see that those will have an important link to familiar geometry.
GeoGebra by Wikipedia Bot 0
GeoGebra is a dynamic mathematics software that combines geometry, algebra, statistics, calculus, and other areas of mathematics into an interactive environment. It is widely used by students, educators, and researchers to visualize and explore mathematical concepts. Key features of GeoGebra include: 1. **Interactive Geometry**: Users can create and manipulate geometric constructions, which helps in understanding geometric properties and relationships.
Egyptian mathematicians refer to the mathematicians from ancient Egypt who made significant contributions to mathematics, particularly from around 3000 BCE to 300 CE. The ancient Egyptians developed a practical approach to mathematics that was closely tied to their needs in agriculture, trade, and engineering, especially in the construction of monumental architecture such as pyramids and temples.
Electrical breakdown refers to the phenomenon that occurs when an insulating material becomes conductive due to the application of a sufficient electric field. When the electric field strength exceeds a critical threshold, electrons are stripped from their atoms within the insulating material, leading to a sudden increase in conductivity and the formation of a plasma or a conducting path through the material. This can result in an uncontrolled flow of electricity, often leading to catastrophic failure of electrical devices, arcing, or damage to the insulating material.
Legendre's three-square theorem by Ciro Santilli 37 Updated +Created
Experimental physics by Ciro Santilli 37 Updated +Created
Experiment and theory are like the yin and yang: opposites, but one cannot exist without the other.
The first published experimental observation of the magnetic flux quantum.
The paper that follows it in the journal is also of interest, "Theoretical Considerations Concerning Quantized Magnetic Flux In Superconducting Cylinders" by N. Byers and C. N. Yang, it starts:
In a recent experiment, the magnetic flux through a superconducting ring has been found to be quantized in units of ch/2e. Quantization in twice this unit has been briefly discussed by London' and by Onsager. ' Onsager' has also considered the possibility of quantization in units ch/2e due to pairs of electrons forming quasi-bosons.
So there was some previous confusion about the flux quantum due to the presence of Cooper pairs or not.
Figure 1.
Figure 1 of Experimental Evidence for Quantized Flux in Superconducting Cylinders
. The legend reads:
(Upper) Trapped flux in cylinder No. 1 as a function of magnetic field in which the cylinder was cooled below the superconducting transition. temperature. The open circles are individual data points. The solid circles represent th, e average value of all data points at a particular value of applied field including all the points plotted and additional data which could not be plotted due to severe overlapping of points. Approximately two hundred data points are represented. The lines are drawn at multiples of hc/2e.
(Lower) Net flux in cylinder No. 1 before turning off the applied field in which it was cooled as a function of the applied field. Open and solid circles have the same significance as above. The lower line is the diamagnetic calibration to which all runs have been normalized. The other lines are translated vertically by successive steps of hc/2e.
Figure 2.
Figure 2 of Experimental Evidence for Quantized Flux in Superconducting Cylinders
. The legend reads:
(Upper) Trapped flux in cylinder No. 2 as a function of magnetic field in which the cylinder was cooled below the superconducting transition temperature. The circles and triangles indicate points for oppositely directed applied fields. Lines are drawn at multiples of hc/2e.
(Lower) Net flux in cylinder No. 2 before turning off the applied field as a function of the applied field. The circles and triangles are points for oppositely directed applied fields. The lower line is the diamagnetic calibration to which all runs have The other been normalized. lines are translated vertically by successive steps of hc/2e.
Welington de Melo by Wikipedia Bot 0
As of my last update in October 2023, there might not be a widely known figure or concept specifically named "Welington de Melo." It's possible that he could be a private individual, a local figure, or someone who gained prominence after my last update. If you provide more context or specify the field related to Welington de Melo (e.g.
Victor Bangert by Wikipedia Bot 0
As of my last knowledge update in October 2023, there is no widely recognized individual or entity by the name "Victor Bangert." It is possible that he is a private individual, a lesser-known public figure, or a fictional character.
Publication by Hermann Weyl by Ciro Santilli 37 Updated +Created

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!
We have two killer features:
  1. 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-calculus
    Articles 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/derivative
  2. 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.
    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.
  3. https://raw.githubusercontent.com/ourbigbook/ourbigbook-media/master/feature/x/hilbert-space-arrow.png
  4. Infinitely deep tables of contents:
    Figure 6.
    Dynamic article tree with infinitely deep table of contents
    .
    Descendant pages can also show up as toplevel e.g.: ourbigbook.com/cirosantilli/chordate-subclade
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