Pi is fundamentally the ratio of a circle's circumference to its diameter.
Pi is also fundamental in any Harmonic or Rotational motion.
Pi is an irrational number has an approximate value of 3.1415926535897932.
NATURAL LOGARITHM
⚜ What is the Natural Logarithm e? ⚜
The Natural Logarithm e is an irrational number has an approximate value of 2.71828182845904.
The Natural Logarithm e allows the multiplication of large numbers to be done as additions.
A famous equation is eiπ =1.
IMAGINARY NUMBER
⚜ What is the Imaginary Number i? ⚜
The Imaginary Number i is defined as the square root of -1.
The Imaginary Number i is the Imaginary part of a Complex Number. The other part is Real.
BINOMIAL THEOREM
⚜ What is the Binomial Theorem? ⚜
The Binomial Theorem is a way of approximating complicated mathematical expressions in order to solve them.
When x is much less than 1, the Binomial Theorem states that (1+x)n approximately equals 1+nx.
GAUSSIAN DISTRIBUTION
⚜ What is the Gaussian Distribution? ⚜
The Gaussian Distribution is a mathematical probability distribution.
The Gaussian Distribution represents the mostly likely natural distribution of a number n random events.
COMPLEX NUMBERS
⚜ What are Complex Numbers? ⚜
Complex numbers are written as z=a+bi in cartesian coordinates. The real part is a, the imaginary part is i.
Complex numbers allow for easy manipulation of exponential and harmonic expressions.
TRIVIA
🔔 QUESTION : What common probablistic curve is actually a Gaussian Distribution?
💡 Hover or Tap for the ANSWER! 💡
The Normal or "Bell" Curve is actually a Gaussian Distribution.
PRIME NUMBERS
⚜ What are Prime Numbers? ⚜
Prime Numbers are numbers that cannot be reduced into smaller numbers.
Prime Numbers are only divisible by themselves or the number 1.
Some Prime numbers are 2,3,5,7,11,13,17.
FRACTALS
⚜ What are Fractals? ⚜
Fractals are scatter plots made by evaluating an expression repeatedly using iteration.
Fractals are unique because they produce self-repeating patterns that can mimic patterns found in nature.
A famous fractal is the Mandelbrot fractal.
FRACTAL VIDEO
Click the Image below to watch Newton Flowers Fractal Voyage.
INTEGRALS
⚜ What are Integrals? ⚜
Integrals are a method of adding infinite sums.
An application of integrals is to find the area under a curve.
Integrals are part of Calculus.
