Tag: mathematics
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Advanced geometry level 3, Geometric Bodies, Convex Polyhedron Polygons
Advanced geometry includes the study of geometric bodies. The five Platonic solids are convex polyhedra such that all their faces are regular polygons equal to each other and in which all the solid angles are equal. Why Only Five? The Vertex Angle Constraint Further Reading Why Only Five? Here are the read more
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Every Fractal Dimension Explained
Fractals are geometric objects that have a fascinating property: they are self-similar. This means that their structure repeats itself at different scales, no matter how close or far away you are looking. Imagine an object whose shape repeats itself over and over again, just at different sizes. These structures are not just abstract objects but read more
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The Decimal System, aka the Hindu-Arabic Numeral System
The decimal system with the digits we have today is called the Hindu-Arabic numeral system. It originates from Indian mathematicians sometime between the first and fourth centuries, though not including fractions, which were a later extension by 9th century Arabian mathematicians. In modern times, the system is the standard worldwide system of number representation. Table read more
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Every Weird Number System Explained Part 2
Base 10 may seem like a natural choice for humans based on our number of fingers, but it has its inconveniences. One major detail is that 1/3, which is one of the simplest fractions, can’t be represented without a repeating decimal. This extends to any fraction which is 1 divided by a positive multiple of read more
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Every Weird Measurement System Explained
One of the oldest surviving documents is an ancient Mesopotamian tablet that details a complaint by a customer who was sold 1,080 pounds of substandard copper ingots. A Mesopotamian pound was roughly equivalent to a mina, which was made up of 60 shekels and weighed approximately 1.25 pounds. It was not until after the French read more
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Every Trigonometric Curve Explained
When describing trigonometric functions, it’s necessary to talk about concepts such as radians, sexagesimal degrees, and gradians. Radians Sexagesimal Degrees Gradians Converting Angles Transcendental Functions Trigonometric Functions Sine Function Cosine Function Tangent Function Reciprocal Trigonometric Functions Trigonometric Identities Basic Identities Inverse Trigonometric Functions Hyperbolic Functions Hyperbolic Sine Function Hyperbolic Cosine Function read more
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Every Coordinate System Explained
Cartesian Coordinate System The Cartesian Plane in Two Dimensions Slope of a Line Equations of Lines Vectors Conic Sections Three-Dimensional Cartesian Plane Quadric Surfaces Polar Coordinate System Main Differences with Cartesian Coordinates Conversion Between Polar and Cartesian Coordinates Degrees vs Radians Cylindrical Coordinate System Main Differences Conversion Spherical Coordinate System Main read more
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The 3 Tests That Make or Break an Infinite Series
If you’re into mathematics, you may have heard of an operation called addition, where you simply combine two values together. Summation is the addition of a sequence of values or terms to get a result or sum. For example, 1 + 2 + 3 = 6. But what if a summation keeps going forever? An read more
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Fibonacci and the Birth of Modern Math
Leonardo de Pisa Fundamentally Changed Math Discovering the Fibonacci Series Ancient Indian Discoveries in Sanskrit Texts The Golden Number (Phi, φ) The Golden Spiral From Roman Numerals to Hindu-Arabic Numbers Fascinating Facts About the Fibonacci Sequence Leonardo de Pisa Fundamentally Changed Math mathematics is related to Natural Sciences the result of read more
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Every Binary Operation and Logic Gate Explained
The binary system is the foundation of all computing. Without it, there would be no computers, cell phones, internet, or modern technology as we know it. What Is the Binary System? Converting Between Decimal and Binary Binary Arithmetic Operations Boolean Algebra and Logic Gates Basic Logic Gates Derived Logic Gates Properties read more
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