For an upcoming grade 11 test, there is this question i don't understand. Here are the requirements: The perimeter is a maximum of $60$ cm. The quest...
I am trying to determine whether the following argument is valid: P ⇒ ((∼Q) ∧ R) Q ⇒ (P ∨ R) therefore P ⇒ R I have constructed truth tables for each stat...
What is known in contemporary mathematics about orders of growth for functions that exceed any degree polynomial, but fall short of exponential? This is a...
I find consistently conflicting information online. On the one hand there's all these reports of the largest prime gap between all numbers proven to ...
I know that unit vectors are usually written in bold with a hat for example: $$\hat{\mathbf{i}}$$ But if you use vector notation with arrows (as I do when...
Let ABCD be a parallelogram and let M be a point on side AB. Let P be the intersection of side BC with the parallel line to AC that passes through M. Let ...
Suppose you are given the polynomial \begin{equation} f(x)=1+x^3 \end{equation} and the definition of Fourier transform: \begin{equation} \hat{f}(k)=\frac...
The Bolzano-Weierstrass theorem says that every bounded sequence in $\Bbb R^n$ contains a convergent subsequence. The proof in Wikipedia evidently doesn...