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Wolfram Language
An introduction to the powerful computing language from Wolfram.
CHNOPS: Elements of Life
CHNOPS stands for Carbon, Hydrogen, Nitrogen, Oxygen, Phosphorus, and Sulfur. These six elements make up 98% of living matter on Earth!
4 Types of Chemical Bonds in Biology
There are 4 kinds of chemical bonds essential for life to exist.
Ideal Gas Law
The Ideal Gas Law describes the relationship between four key variables that define the state of a gas: pressure, volume, temperature, and the number of moles of gas.
The Kernel
Of Group Homomorphisms
In abstract algebra, the concept of a homomorphism is used to compare two structures—such as groups, rings, or fields. Homomorphisms are often not one-to-one, and one way to find how far a homomorphism is from being injective is by finding its kernel.
Boyle's Law
Boyle’s Law is a fundamental principle in the study of gases that describes how pressure and volume are related when temperature remains constant.
Predictive Analysis in GA4
How to leverage Artificial Intelligence in Google Analytics 4
Units in a Ring
In a typical ring, some elements will have a multiplicative inverse and some will not. Here we focus on those elements that DO have an inverse.
Charles's Law
The Relationship Between Temperature and Volume in Gases.
Cayley Tables
When learning about groups, it's instructive to create a group Multiplication table - also called a Cayley table. Watch a video, get some tips, and study an example!
Gay-Lussac's Law
Gay-Lussac’s Law states that the pressure of a gas is directly proportional to its temperature, provided that the volume remains constant.
Order of an Element
In Abstract Algebra and group theory, the concept of the order of an element in a group is fundamental. Learn the definition and see some examples.
Metric Spaces
A topological space that has a distance function is called a metric space. Learn about how a metric is defined, the importance of the triangle inequality, and see an example.
Neutron Stars
A Giant Sphere of Neutrons
There are several forms a star can take when it does. If a star is large enough to squeeze protons and electrons into neutrons, then it may become a neutron star.
Hydrogen Bonding in Water
Properties of Water
Why is water essential for Life to exist on Earth? We are about 60% water - and there are some organisms that are as much as 90% water!
Platonic Solids
Five Ancient Shapes
Learn about the tetrahedron, cube, octahedron, dodecahedron, and icosahedron, the 5 regular polyhedra known as the Platonic solids.
Who is Thomas Malthus?
Discover the provocative ideas of Thomas Malthus, whose groundbreaking theories on population and scarcity continue to spark debate and shape our understanding of human society and its future challenges.
Group Definition
A central object in Abstract Algebra
The mathematical field Abstract Algebra is, well, abstract! To get a feel for this fascinating - and useful! - subject, learn the definition of a group. This is where abstract algebra truly begins.
Ergosphere
A Whirlpool in Space
Black Holes rotates, and in doing so they cause a current in space time. Learn more about this phenomenon.
The Simplex
In mathematics, a simplex is a generalization of a triangle and tetrahedron. The first four simplexes are made from familiar shapes: a point, a line segment, a triangle, and a tetrahedron.
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