Polyisocyanurate, often abbreviated as PIR, is a type of thermoset plastic that is derived from the polymerization of isocyanate and polyol. It is a member of the polyurethane family, but with a higher degree of rigidity and thermal stability. Polyisocyanurate is primarily used for its excellent insulating properties, making it a popular choice in the construction and manufacturing sectors.
In economics, an "index" is a statistical measure that reflects changes in a particular variable or group of variables over time. It is commonly used to track economic indicators and trends, making it easier to analyze data and compare performance across different time periods or regions. Here are some common types of economic indices: 1. **Price Indices**: Measure changes in the price level of a basket of goods and services over time.
Xenoy is a brand name for a family of engineering thermoplastic materials produced by SABIC (Saudi Basic Industries Corporation). These materials are primarily a blend of polycarbonate and acrylonitrile-butadiene-styrene (ABS), which gives them a unique combination of properties. Xenoy is known for its high impact resistance, strength, durability, and heat resistance, making it suitable for a variety of applications, including automotive parts, consumer electronics, and industrial components.
Nik Nanos is a prominent Canadian pollster, researcher, and political analyst known for his work in public opinion research and market analysis. He is the founder and CEO of Nanos Research, a company that specializes in polling and survey research across various sectors, including politics, business, and social issues. Nanos is often called upon by media outlets and organizations to provide insights and analyses on public opinion trends in Canada, particularly during elections and significant political events.
Windows 2.0x refers to a series of early versions of Microsoft's Windows operating system that were part of the second major release of Windows. Specifically, Windows 2.0 was released in December 1987, and it was followed by Windows 2.03 in 1988 and Windows 2.1x in 1989. Windows 2.0 introduced several improvements and features over its predecessor, Windows 1.
Shizuo Kakutani is a prominent Japanese mathematician known for his work in functional analysis, game theory, and the Kakutani fixed-point theorem. The Kakutani fixed-point theorem is a generalization of Brouwer's fixed-point theorem and is significant in various fields, including economics and game theory, as it provides conditions under which a fixed point exists in a compact, convex set.
As of my last knowledge update in October 2023, Vera Serganova is not a widely recognized figure or concept in popular culture, science, or other well-known contexts. It is possible that Vera Serganova could refer to a private individual or a lesser-known entity that has not gained significant public attention.
A sphenic number is a positive integer that is the product of three distinct prime numbers. In other words, a sphenic number can be expressed in the form \( p_1 \times p_2 \times p_3 \), where \( p_1 \), \( p_2 \), and \( p_3 \) are prime numbers and \( p_1 \), \( p_2 \), and \( p_3 \) are all different from one another.
A skyrmion is a type of topological soliton—a stable, localized configuration of a field—found in certain magnetic materials. It is characterized by a nontrivial topology and can be thought of as a swirling configuration of spins, which are the magnetic moments of atoms. The concept of skyrmions originates from theoretical physics and was first proposed by British physicist Tony Skyrme in the 1960s, primarily in the context of particle physics.
Predicted by the Dirac equation.
Can be easily seen from the solution of Equation "Expanded Dirac equation in Planck units" when the particle is at rest as shown at Video "Quantum Mechanics 12b - Dirac Equation II by ViaScience (2015)".
Described for example in lecture 1.
A relativistic version of the Schrödinger equation.
Correctly describes spin 0 particles.
The most memorable version of the equation can be written as shown at Section "Klein-Gordon equation in Einstein notation" with Einstein notation and Planck units:
Has some issues which are solved by the Dirac equation:
- it has a second time derivative of the wave function. Therefore, to solve it we must specify not only the initial value of the wave equation, but also the derivative of the wave equation,As mentioned at Advanced quantum mechanics by Freeman Dyson (1951) and further clarified at: physics.stackexchange.com/questions/340023/cant-the-negative-probabilities-of-klein-gordon-equation-be-avoided, this would lead to negative probabilities.
- the modulus of the wave function is not constant and therefore not always one, and therefore cannot be interpreted as a probability density anymore
- since we are working with the square of the energy, we have both positive and negative value solutions. This is also a features of the Dirac equation however.
Bibliography:
- Video "Quantum Mechanics 12a - Dirac Equation I by ViaScience (2015)" at youtu.be/OCuaBmAzqek?t=600
- An Introduction to QED and QCD by Jeff Forshaw (1997) 1.2 "Relativistic Wave Equations" and 1.4 "The Klein Gordon Equation" gives some key ideas
- 2011 PHYS 485 lecture videos by Roger Moore from the University of Alberta at around 7:30
- www.youtube.com/watch?v=WqoIW85xwoU&list=PL54DF0652B30D99A4&index=65 "L2. The Klein-Gordon Equation" by doctorphys
- sites.ualberta.ca/~gingrich/courses/phys512/node21.html from Advanced quantum mechanics II by Douglas Gingrich (2004)
- youtu.be/tR6UebCvFqE?t=23 particle at rest
- youtu.be/tR6UebCvFqE?t=322 unidirectional movement without a potential
- youtu.be/tR6UebCvFqE?t=507 shows that observers in different frames of reference also see different spin. We are reminded of how magnetism is just a side effect of special-relativity.
- youtu.be/tR6UebCvFqE?t=549 Dirac equation solution for the hydrogen atom, final result only + mentions fine structure prediction.
Introduction to Spintronics by Aurélien Manchon (2020)
Source. The Spin on Electronics by Stuart Parkin
. Source. 2013.Theorized for the graviton.
First let's discuss the argument against abortion. Most people would save the life of an infant over that of an animal, even if the animal is more intelligent. The only unbiased reason to do this is that given nutrients, the baby will develop into a more intelligent lifeform in the future. Thus wanting to save a "clump of cells" isn't as irrational as it may seem.
But our hypothetical above assumes that both the baby and the animal want to live. By not killing themselves, all conscious creatures have implicitly expressed their desire to continue living, and most people agree that that is to be respected, at least for humans. Which is why killing a person painlessly while they're unconscious is still considered wrong. But this desire does not apply to fetuses before the third trimester, which have never been conscious. This is the moral argument for abortion. There is also the obvious utilitarian argument for it.
The current system is dominated by government action, so fixing problems often requires even more government action. This does not say anything as to the feasibility of a fully libertarian system. Private entities take time to develop and immediately dismantling entire government institutions may not be the best move, hence why companies benefitting from government aid and intellectual property also need antitrust legislation, and why suddenly cutting subsidies/welfare can hurt a lot of people.
Pinned article: 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 3. Visual Studio Code extension installation.Figure 4. Visual Studio Code extension tree navigation.Figure 5. Web editor. 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.Video 4. OurBigBook Visual Studio Code extension editing and navigation demo. Source. - 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





