The Consequence Argument is a philosophical argument primarily associated with discussions of free will and determinism. It is often used to challenge the idea that humans can have free will in a deterministic universe. The argument suggests that if determinism is true, then every event (including human actions) is the result of prior events in accordance with the laws of nature.
Pierre Wantzel (1814–1848) was a French mathematician best known for his work in geometry and, specifically, for his contributions to the field of classical constructibility problems. He is particularly famous for proving in 1837 that certain problems, such as squaring the circle, trisecting an angle, and doubling the cube, cannot be solved using only a compass and straightedge.
Yves Le Jan is a French mathematician known for his work in the fields of probability theory and mathematical physics. He has made significant contributions to the study of stochastic processes, particularly in relation to the theory of large deviations, statistical mechanics, and the mathematical foundations of statistical physics. His research often intersects with topics in mathematical rigor and applications to complex systems.
Nathalie Deruelle is a recognized figure in the field of mathematics, particularly noted for her contributions to geometric analysis and mathematical physics. She has been involved in research related to the geometry of manifolds and Einstein's equations in general relativity. Deruelle is also known for her work in mathematical education and outreach.
Émilie du Châtelet (1706–1749) was a French mathematician, physicist, and writer, best known for her work in the fields of mathematics and Newtonian physics during the Enlightenment period. She is particularly recognized for her translation and commentary on Isaac Newton's "Principia Mathematica," which helped popularize Newtonian physics in France.
The Invariant Set Postulate is a concept in the context of dynamical systems, particularly in the fields of mathematics, physics, and economics. It relates to the behavior of systems that evolve over time according to specific rules. The postulate asserts that under certain conditions, there exists a set of states in the phase space of the system that remains unchanged (invariant) over time as the system evolves.
The Mark-Compact algorithm is a garbage collection technique used in memory management to reclaim unused memory in programming environments. It is a form of tracing garbage collection that works in two primary phases: marking and compacting. Here’s a brief overview of how the Mark-Compact algorithm works: 1. **Mark Phase**: - The algorithm begins by traversing the object graph starting from a set of "root" objects (e.g., global variables, local variables on the stack).
The 14th meridian west is a line of longitude located 14 degrees west of the Prime Meridian, which is the line of longitude defined as 0 degrees and runs through Greenwich, England. Geographically, the 14th meridian west passes through several countries in Europe and Africa. In Europe, it crosses parts of western Norway and central Sweden. As it continues southward, it passes through countries such as Denmark, Germany, and Austria.
The 15th meridian east is a line of longitude that is 15 degrees east of the Prime Meridian, which is located at 0 degrees longitude. It runs from the North Pole to the South Pole, passing through several countries in Europe and Africa. In Europe, the 15th meridian east passes through countries such as Norway, Sweden, and Germany. In Africa, it crosses through countries like Algeria and the Democratic Republic of the Congo.
The 174th meridian east is a line of longitude that is located 174 degrees east of the Prime Meridian. It runs from the North Pole to the South Pole and is one of the meridians used in the geographic coordinate system to define locations on the Earth's surface. Geographically, the 174th meridian east passes through various regions, including parts of the Pacific Ocean and is close to the International Date Line.
The 165th meridian west is an imaginary line of longitude located 165 degrees west of the Prime Meridian, which is at 0 degrees longitude. This meridian runs from the North Pole to the South Pole and passes through the Pacific Ocean. In terms of geography, it traverses several territories, including parts of the Aleutian Islands in Alaska and various remote islands in the Pacific Ocean.
The 176th meridian east is a line of longitude that is 176 degrees east of the Prime Meridian. It runs from the North Pole to the South Pole, passing through various locations in the Northern and Southern Hemispheres. In the Northern Hemisphere, the 176th meridian east crosses through parts of the Bering Sea and the Aleutian Islands in Alaska, including islands such as Nikolia, Unalaska, and Attu.
The 22nd meridian east is a line of longitude that is 22 degrees east of the Prime Meridian, which is the line of longitude defined as 0 degrees. This meridian runs from the North Pole to the South Pole, passing through several countries in Africa and Europe.
In the context of mathematics, particularly in geometric topology and metric geometry, a CAT(k) space is a type of metric space that satisfies certain curvature conditions, modeled on conditions defined by the CAT(0) and CAT(k) inequalities. The CAT conditions provide a way to generalize geometric notions of curvature to a broader class of spaces than just Riemannian manifolds.
The 74th meridian east is a line of longitude that is 74 degrees east of the Prime Meridian, which is the reference line for longitudinal measurements. The meridian runs from the North Pole to the South Pole and crosses through several countries.
The 8th meridian west is a line of longitude that is located 8 degrees west of the Prime Meridian, which is situated at 0 degrees longitude. It runs from the North Pole to the South Pole and passes through several countries in Europe and Africa. Some of the notable locations that the 8th meridian west passes through include parts of the United Kingdom, France, and Spain in Europe, as well as some regions in Morocco and other parts of West Africa.
Deoxidization is the process of removing oxygen from a substance or material. It is commonly used in various fields, including metallurgy, chemistry, and environmental science. In metallurgy, deoxidization refers to the removal of oxygen from molten metals to improve their quality and properties.
Chemical coloring of metals refers to various processes used to modify the surface of metal objects to create a colored finish. This can be achieved through several techniques that can either involve chemical reactions or electrochemical methods. Here are some common methods used for coloring metals: 1. **Anodizing**: This technique is often used on aluminum. It involves creating an oxide layer on the surface of the metal through an electrolytic process. This layer can be dyed in various colors, providing both protection and aesthetic appeal.
Hot isostatic pressing (HIP) is a manufacturing process used to enhance the mechanical properties of materials, particularly metals and ceramics. It involves the application of high temperature and high pressure in a controlled environment to remove defects, improve density, and enhance microstructural uniformity of the material. ### Key Features of Hot Isostatic Pressing: 1. **Process Overview**: - The material to be processed is placed in a chamber, typically made of steel or other high-strength materials.
Cladding in metalworking refers to a process where a layer of one material is bonded to the surface of another material, typically to enhance certain properties or performance characteristics. This technique can be used to improve corrosion resistance, wear resistance, thermal conductivity, or other desirable features in a product made from a different base metal. The cladding process can be achieved through various methods, including: 1. **Roll Bonding**: Involves passing two or more metal sheets through rollers to bond them together.
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 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