Ellipse

Ellipse

Ellipse An ellipse is a closed curve connecting the points that the sum of the two distances to the focal points is a constant. The ellipse’s longest diameter is the major axis, and the shortest diameter is the minor axis. … more

Differentiation

Differentiation

Differentiation The differentiation is to find the amount of change at a point on a graph f(x). This is like the process of finding the slope of the tangent line when you can draw a tangent at a point on … more

Triangle and Tetragon

Triangle and Tetragon

Triangle Regular Triangle The lengths of the three sides and the angles are the same. The size of each of the three angles is 60 °. It is the only triangle in which the inner center, circumcenter, and center of … more

Radians

Radians

Degree ‘Degree’ is one of the units for measuring angles. When rotated one turn, it becomes 360 degrees. ‘Degree’ is the most commonly used unit. Radian ‘Radian’ is the ratio (= l / r) of arc length (l) divided by … more

Fourier Series 2

Fourier Series 2

Fourier series The Fourier series is an infinite series that expresses a periodic function that repeats a certain part as the sum of simple trigonometric functions. A simple trigonometric function consists of a smooth surface wave. If you keep adding … more

Fourier Series

Fourier Series

Fourier series The Fourier series is an infinite series that expresses a periodic function that repeats a certain part as the sum of simple trigonometric functions. A simple trigonometric function consists of a smooth surface wave. If you keep adding … more

Lorenz’s Water Mill Simulation

Lorenz’s Waterwheel

Lorenz’s waterwheel Let’s say you have a waterwheel with a bucket with a small hole in the floor. When water drips from the faucet above, the bucket runs down and spins. Then, let’s predict which direction the waterwheel will turn. … more

Life Game

Life Game

The Life Game is a cellular automaton devised by the British mathematician John Horton Conway in 1970. The universe of the Game of Life is an infinite two-dimensional orthogonal grid of square cells, each of which is in one of … more