MathBiosis
MathBiosis
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A Splendid Equation with Lots of Cube Roots
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We solve an equation with lots of cube roots for three variables via lots of algebraic tricks.
#cuberoots #equation #maths #algebra
Переглядів: 15

Відео

Evaluating a Monstrous Sum in a Jiffy
Переглядів 5114 днів тому
🔆 Help support my channel 🔆 ✳️ Sharing my videos is also an invaluable way to support my channel. ✳️ We evaluate a lengthy sum involving enormous quantities in no time.
When a Polynomial and a Radical Produce Trigonometric Progeny
Переглядів 8521 день тому
🔆 Help support my channel 🔆 ✳️ Sharing my videos is also an invaluable way to support my channel. ✳️ We solve an equation involving a polynomial and a radical, only to find solutions that are trigonometric.
Solving a Septic Equation Using Perturbation Theory
Переглядів 95Місяць тому
🔆 Help support my channel 🔆 ✳️ Sharing my videos is also an invaluable way to support my channel. ✳️ We take an initially intractable equation and use perturbation theory to find an excellent approximation to the solution.
Mathematical Renovation -- Integrating Floors and Ceilings
Переглядів 36Місяць тому
🔆 Help support my channel 🔆 Patreon: patreon.com/mathbiosis ✳️ Sharing my videos is also an invaluable way to support my channel. ✳️ Here we integrate over many separate intervals to obtain a closed-form expression to help us evaluate this integral containing both the floor and ceiling functions.
A Nifty Little Integral
Переглядів 502 місяці тому
🔆 Help support my channel 🔆 ✳️ Sharing my videos is also an invaluable way to support my channel. ✳️ Here we evaluate an integral by dodging a discontinuity.
A Sneaky Move to Solve a Functional Equation
Переглядів 632 місяці тому
🔆 Help support my channel 🔆 ✳️ Sharing my videos is also an invaluable way to support my channel. ✳️ One sneaky little move helps us solve this functional equation.
The Beta Function and the Legend of John Wallis
Переглядів 1162 місяці тому
🔆 Help support my channel 🔆 ✳️ Sharing my videos is also an invaluable way to support my channel. ✳️ Here we explore the Beta Function cousin to the Gamma Function, and learn of the legend of John Wallis.
Solving an IMO Problem in Two Ways in Under 4 Minutes!
Переглядів 492 місяці тому
🔆 Help support my channel 🔆 ✳️ Sharing my videos is also an invaluable way to support my channel. ✳️ Here we solve an International Mathematical Olympiad problem in two ways in under 4 minutes!
A Rational Case That e is Irrational
Переглядів 783 місяці тому
🔆 Help support my channel 🔆 ✳️ Sharing my videos is an invaluable way to support my channel. ✳️ Here we show that Euler's number e is irrational.
The Simplicity of Complex Numbers
Переглядів 603 місяці тому
🔆 Help support my channel 🔆 ✳️ Sharing my videos is an invaluable way to support my channel. ✳️ We carry out a quick and delightful proof involving complex numbers.
Spherical Harmonics -- Who Said Quantum Mechanics is Hard?!
Переглядів 6043 місяці тому
🔆 Help support my channel 🔆 ✳️ Sharing my videos is also an invaluable way to support my channel. ✳️ Here we determine the spherical harmonic for orbital quantum number and magnetic quantum number both equal to one.
Power Series Meets Differential Equation
Переглядів 383 місяці тому
🔆 Help support my channel 🔆 ✳️ Sharing my videos is also an invaluable way to support my channel. ✳️ Here we see how to solve a differential equation using a power series solution.
The Jones Polynomial -- Don't Get Yourself Into a Knot!
Переглядів 1794 місяці тому
🔆 Help support my channel 🔆 ✳️ Sharing my videos is also an invaluable way to support my channel. ✳️ Take an adventure into knot theory, a sub-field of topology, in order to determine a classic invariant the Jones Polynomial of a trefoil knot.
I'm Exhausted -- I Need a Substitution!
Переглядів 674 місяці тому
🔆 Help support my channel 🔆 ✳️ Sharing my videos is also an invaluable way to support my channel. ✳️ We evaluate an indefinite integral by making several substitutions. This needs some endurance, but it's worth it.
Bountiful Bounds -- Bounding Solutions and Radicals
Переглядів 614 місяці тому
Bountiful Bounds Bounding Solutions and Radicals
Guesswork Makes the Dream Work
Переглядів 614 місяці тому
Guesswork Makes the Dream Work
Hear Ye! Hear Ye! Calling All n-Digit Integers
Переглядів 814 місяці тому
Hear Ye! Hear Ye! Calling All n-Digit Integers
A Quick and Simple Number Theory Proof
Переглядів 1265 місяців тому
A Quick and Simple Number Theory Proof
Radicals Galore Starring the Binomial Series
Переглядів 1135 місяців тому
Radicals Galore Starring the Binomial Series
Introduction -- From Godel to Gifts from the Universe
Переглядів 2055 місяців тому
Introduction From Godel to Gifts from the Universe