Why is there a proportionality constant in the heat equation? dT/dt = k * d^2T/dx^2
With k being the proportionality constant.

What is the measurement of how fast an object moves relative to a reference point?

Write a full page that sumerizes thermodynamics it’s from the website visionlearnig

Suppose that f : rn → rm and that a ∈ k, where k is a connected subset of rn . suppose further that for each x ∈ k there exists a δx > 0 such that f(x) = f(y) for all y ∈ bδx (x). prove that f is constant on k; that is, f(x) = f(a) for all x ∈ k