Contents
How do you graph complex equations?
How To: Given a complex number, represent its components on the complex plane.
- Determine the real part and the imaginary part of the complex number.
- Move along the horizontal axis to show the real part of the number.
- Move parallel to the vertical axis to show the imaginary part of the number.
- Plot the point.
What is the most complicated equation?
What is the longest equation in the world? According to Sciencealert, the longest math equation contains around 200 terabytes of text. Called the Boolean Pythagorean Triples problem, it was first proposed by California-based mathematician Ronald Graham, back in the 1980s.
What are some cool graph equations?
Really Cool Graphs
| ArcSech(x) + ArcSech(y) | z = ArcSin(xy) |
|---|---|
| r = Tan(17 theta) + Cot(17 theta) | ArcSin(x) + ArcSin(y) |
| (lots of equations) | Sin(y2 x3) = Cos(y3 x2) |
| r = xy – Sin(theta y2) | Tan(ArcCos(x) + ArcSin(y)) = 1 |
Can you graph complex functions?
Graphing a complex function is difficult because you need 2 (real) dimensions for the domain and 2 (real) dimensions for the range – a total of 4 dimensions. In this applet, the domain of a complex function is graphed on the base plane. The range is graphed using polar coordinates.
Can you graph imaginary numbers?
Complex numbers cannot be represented on a coordinate plane. Explanation: Complex numbers can be represented on the coordinate plane by mapping the real part to the x-axis and the imaginary part to the y-axis. For example, the expression can be represented graphically by the point .
What is the most complicated math?
These Are the 10 Toughest Math Problems Ever Solved
- The Collatz Conjecture. Dave Linkletter.
- Goldbach’s Conjecture Creative Commons.
- The Twin Prime Conjecture.
- The Riemann Hypothesis.
- The Birch and Swinnerton-Dyer Conjecture.
- The Kissing Number Problem.
- The Unknotting Problem.
- The Large Cardinal Project.
How do you solve complicated algebraic expressions?
How To: Given a complex rational expression, simplify it.
- Combine the expressions in the numerator into a single rational expression by adding or subtracting.
- Combine the expressions in the denominator into a single rational expression by adding or subtracting.
- Rewrite as the numerator divided by the denominator.