Category: Geometry
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Every Important Graph in Math Explained
Linear Graphs Quadratic Graphs Circles Ellipses Hyperbolas Sine and Cosine Exponential Functions Logarithmic Functions Linear Graphs A linear graph is a line-shaped graph that can be written as y = mx + b. Here, m is the slope: for every one unit you go to the right, you rise by m units. And b represents… read more
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Every Equation in Math and Physics You Need to Know
Every Crucial Equation in Math and Physics Seventeen Equations That Built the Modern World The Pythagorean Theorem Logarithms Calculus The Law of Gravity The Square Root of −1 Euler’s Polyhedra Formula The Fourier Transform The Wave Equation Maxwell’s Equations The Second Law of Thermodynamics The Normal Distribution Relativity The Schrödinger Equation Heisenberg’s Uncertainty Principle The… read more
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Greatest Physicists and their Contributions
Galileo Galilei Isaac Newton Michael Faraday James Clerk Maxwell Ludwig Boltzmann J.J. Thomson Max Planck Marie Curie Ernest Rutherford Albert Einstein Niels Bohr Paul Dirac Richard Feynman Galileo Galilei Born in Pisa, Galileo initially trained as a doctor, studying medicine at the University of Pisa. He shifted to mathematics but left due to financial issues,… read more
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Greatest Mathematicians – Final Part (Pt 3)
Famous and Influential Mathematicians from 600 BC to the 21st Century Stefan Banach Henri Cartan Israel Gelfand Laurent Schwartz David Mumford Alain Connes Karen Uhlenbeck Freeman Dyson Barry Mazur Peter Lax Yakov Sinai George Dantzig Enrico Bombieri David Hilbert Claude Shannon Felix Hausdorff Alfred Tarski Marshall H. Stone Saunders Mac Lane Paul Dirac Pierre de… read more
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What Is Pi? Explained in 37 Seconds
Pi (π) is a fundamental mathematical constant that represents the ratio of a circle’s circumference to its diameter: π = C / d ≈ 3.14159265… The Greek letter π is the first letter of the Greek word perimetros, meaning circumference. It was first calculated by the ancient Greek mathematician Archimedes of Syracuse, who was also… read more
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Greatest Mathematicians and their Discoveries – Part 2
A Timeline of History’s Greatest Mathematicians Ancient Mathematicians Indian and Central Asian Mathematicians Renaissance and Early Modern Mathematicians The Bernoulli Era and 18th Century 19th Century Mathematicians Early 20th Century Mathematicians Mid to Late 20th Century Mathematicians Ancient Mathematicians Thales of Miletus is a foundational figure in Greek mathematics and philosophy, credited with early developments… read more
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Why Catalan’s Constant Still Puzzles Mathematicians
Catalan’s constant is a well-known mathematical constant defined by the infinite series: It is named after the Belgian mathematician Eugène Charles Catalan, who first gave an equivalent series and expressions in terms of integrals for this constant. Where Does Catalan’s Constant Appear? Is Catalan’s Constant Rational or Irrational? Computing Catalan’s Constant Where Does Catalan’s Constant… read more
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Every Unsolved Math Problem Explained
Notable Conjectures and Unsolved Problems in Mathematics Casas-Alvero Conjecture Riemann Hypothesis Navier–Stokes Existence and Smoothness Jacobian Conjecture Erdős–Oler Conjecture Gauss Circle Problem Kissing Number Problem Unequal Circle Packing Sendov’s Conjecture Tripod Packing Thomson Problem Levi–Hadwiger Conjecture Heesch Problem Kalai’s 3d Conjecture Casas-Alvero Conjecture If an integer k can be expressed as the product of two… read more
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The Greatest Accidental Math Breakthroughs
Non-Euclidean Geometry Napier’s Logarithms Fourier’s Mistake About Heat Newton and Calculus Euler and the Constant e from Finance Henri Poincaré and Chaos Theory Gauss and the Normal Curve Non-Euclidean Geometry For more than two millennia, Euclidean geometry stood as an unquestioned paradigm of physical space. Its fifth postulate, the parallel postulate, stated that through a… read more
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Pi Explained in 30 seconds π
Pi (π) is a fundamental mathematical constant that represents the ratio of a circle’s circumference to its diameter. It was first calculated by the ancient Greek mathematician Archimedes. Origin of the Symbol Discovery Applications Properties Origin of the Symbol The Greek letter π (pi) is the first letter of the Greek word perimetros, meaning “circumference.”… read more
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