Step 1: Finding Nemo Can you find the function that is given in the graph below? Posted Earlier! Step 2: Drawing Pictures with Functions Functions are fun. Let’s take step 1 to a new level. Imagine the smiley face. Can we, rewrite it into a couple of equations? For example, was plotted with equations, given…
Category: Visualization Tools
Analysis/Topology: Bounded and Totally Bounded Sets
Definitions Bounded set: Let <M,ρ> be a metric space. We say that the subset A of M is bounded if there exists a positive number L such that ρ(x,y)≤L (x,y∈A) (Wikipedia) Diameter of a set: If A is bounded, we define diameter of A (denoted by diam A) as diam A= ρ(x,y). If A is not…
Puzzle: Finding a Bounded Continuous Function
Find a continuous, real-valued with its range contained in (0, 1).
Puzzle: Finding Real Roots of an Equation
How many ways can we solve a simple quadratic equation?
CoViD-19: Mathematics Takes a Bullet (John H. Conway)
A collection of links to learn more about John H. Conway, who passed away recently.
Illustrating Simple Variation Problem
Calculus of variations is a subject where you study the extrema (maximum or minimum) of a function of functions. We know that, to find the extrema (maximum or minimum) of a “functional” of the form we first identify and substitute in Euler Equation (Or sometimes called Euler-Lagrange Equation) to obtain a Ordinary Differential Equation, solving…