Visual Maths @Maths_Visual

Passionate about maths and science! Sharing the latest news, clear explanations, and captivating visualizations. Join me for discussions on discoveries and more London Joined May 2022

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Visual Maths @Maths_Visual

10 months ago

A fractal is a geometric structure that exhibits self-similarity at different scales. This means that a small part of the fractal resembles the entire fractal.

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Visual Maths @Maths_Visual

10 months ago

Gabriel's Horn, also known in mathematics as Torricelli's trumpet, is a geometric figure that defies intuition. It is defined by the revolution of the function 1x\frac{1}{x}x1 around the x-axis.

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Visual Maths @Maths_Visual

10 months ago

De Morgan's Theorems (commonly known as De Morgan's Laws) are two fundamental rules in logic and set theory that describe the relationship between union, intersection, and complement operations.

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Visual Maths @Maths_Visual

10 months ago

Visualization of the Derivative of x² Here, I’m sharing a geometric visualization of the derivative of the function f(x)=x2f(x) = x^2f(x)=x2.

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When computing the derivative of a composite function we always use the famous chain rule. This rule was first mentioned by Gottfried Wilhelm Leibniz in 1676 in a memoir and is still taught in high school!

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Visual Maths @Maths_Visual

10 months ago

Although the terms even and odd for functions are only brought up in advanced analysis courses, those functions are all around and have some particularly nice symmetries that make them both desirable and pleasant to work with, as well as quite pretty to graph.

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Visual Maths @Maths_Visual

10 months ago

The complex logarithm is the analogue of the logarithm of a positive real number, but for nonzero complex numbers. Similarly, the expression log(0) is left undefined since there is no complex number x such that its exponential gives zero.

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Visual Maths @Maths_Visual

10 months ago

The complex version of the chain rule.

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Visual Maths @Maths_Visual

10 months ago

IMO-1965 Berlin, Germany contest problem. These IMO problems are so cool! Will be going all the way in posting these!

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Visual Maths @Maths_Visual

10 months ago

Lami's Theorem

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Visual Maths @Maths_Visual

10 months ago

Area Under the Curve of a Polar Function

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Visual Maths @Maths_Visual

10 months ago

The torus is a three-dimensional surface that can be described using parametric coordinates, representing the structure of a ring in space. It is generated by rotating a circle around an axis, resulting in its characteristic "donut" shape.

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Visual Maths @Maths_Visual

11 months ago

For any x≠0

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Visual Maths @Maths_Visual

11 months ago

What misconceptions would you add to the list?

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Visual Maths @Maths_Visual

11 months ago

Consider a unit circle in the plane, The blue circle is said to kiss the red circle if it just barely touches the red circle. The kissing number is the maximum number of non-overlapping blue circles that can simultaneously kiss the red circle.

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Visual Maths @Maths_Visual

11 months ago

The largest prime factor of n²+1 is at least of size (log₂ n)² / log₃ n.

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Visual Maths @Maths_Visual

11 months ago

Rutgers University professor Pham Huu Tiep solved two separate, fundamental math problems that have baffled experts for decades: Brauer’s Height Zero Conjecture from 1955 and a complex issue within the Deligne-Lusztig theory, dating back to 1976.