Author: Thought Thrill
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Every Weird Number System Explained
Decimal (Base 10) Roman Numerals Binary (Base 2) Hexadecimal (Base 16) Golden Ratio Base Decimal (Base 10) Assuming you’ve heard of numbers before, you probably know about the decimal system, also known as base 10. It involves 10 digits that can be put together to represent a number. For example, consider the number 243. That’s… read more
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Unsolved Problems in Graph Theory Explained
Graph theory has uncovered many secrets of networks and relationships, but some problems remain unsolved. Here are three famous unsolved problems in graph theory, the Total Coloring Conjecture, the Hadwiger Conjecture, and the 1-Factorization Conjecture, and why they continue to puzzle mathematicians. Building Blocks of Graph Theory 1-Factorization Conjecture Unfriendly Partition Conjecture Hadwiger Conjecture Total… read more
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Every Weird Temperature Scale Explained
Celsius Fahrenheit Kelvin The Obscure Temperature Scales Celsius Anders Celsius. Public domain, via Wikimedia Commons In its simplest definition, a temperature scale uses numbers to classify how hot or cold something is. The Celsius scale is the most commonly used scale of temperature around the world, with units of degrees Celsius. At one atmosphere of… read more
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Every Level of Geometry Explained
Level 1. Basic Geometry Level 2. Intermediate Geometry Level 3. Advanced Geometry Level 4. Analytic Geometry Level 5. Non-Euclidean Geometry Level 6. Topological Geometry Level 7. Projective Geometry Level 8. Differential Geometry Level 9. Algebraic Geometry Level 1. Basic Geometry The fundamental entities of geometry include the point, the line, and the plane. It is… read more
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Every Proof that 0.999 equals 1 but they get increasingly more complex
If we have 1/3 = 0.333… and we multiply both sides of the equation by 3, we see that 3/3 is equal to 0.999… Since 3/3 is 1, we find that 1 equals 0.999… The above is one of the simplest and most popular demonstrations that can be found regarding the claim that 0.999… equals… read more
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Level 1 Geometry Basics #maths #geometry #shorts
Basic Geometry Building on the Foundations Basic Geometry The fundamental entities of geometry include the point, the line, and the plane. It is only possible to describe them in relation to other similar elements. The point is an exact location in space with no size or volume and is considered to exist in zero… read more
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Golden Ratio Φ phi
The Golden Ratio in Base φ What Does Base φ Mean? Further Reading The Golden Ratio in Base φ To obtain the golden ratio, imagine having two amounts a and b, where a is larger than b. These are two parts of a whole, where the whole is a + b. If the ratio of… read more
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Every Number Set Explained
Natural Numbers Integers Rational Numbers Real Numbers Complex Numbers Natural Numbers The story starts at the beginning of mathematics itself. Evidence of humans counting things goes back to the Paleolithic era, tens of thousands of years ago, with tally marks etched on various surfaces. Early humans could have been counting fruits, animals, or days. Whatever… read more
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Everything You Need to Know About Celsius
The Celsius scale is the most commonly used temperature scale around the world, with units of degrees Celsius. At one atmosphere of pressure, 0°C is the temperature at which water freezes and 100°C is the temperature where it boils. The Inverted Origin Why the Scale Was Flipped Further Reading The Inverted Origin Celsius. Ulflund, CC0,… read more
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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 reasons why there are… read more
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