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If you have a function in the form of $f(kx)$, the graph is horizontally scaled by a factor of $k$ and the bigger the magnitude of $k$, the more compresse...
We use unit length Quaternion to represent rotations. Following is a general rotation matrix obtained ${\begin{bmatrix}m_{00} & m_{01}&m_{02} \\ m...
$$\frac{\partial }{\partial \theta}\frac{\partial z }{\partial x}$$ Can any kind soul help me on this? I've tried numerous calculators and resources ...
In Probability Theory by Athreya and Lahiri, they give a very elegant proof of Central Limit Theorem (The Lindeberg one) wherein they use a lemma: For $x ...
Why can't: $$2x^{-3} - 3x$$ or $$\frac{1}{2x}$$ be polynomials too? Why have a definition that excludes these algebraic forms?
Show that the points $A(3;9), B(-2;-16)$ and $C(0.2;-5)$ lie on the same line. We can say that three points lie on the same line if the largest segment bo...
I've been scratching my head lately over this problem in my textbook: Prove that the polynomial $x^4 + x^3 +x^2 +x +1$ is irreducible over $\mathbb{Q...
I have googled this term and did not find anything useful. This term is used multiple times in this problem explanation from the recent AMC. For example, ...
In many contexts, I have seen phrases like "... function $f$ is twice differentiable ...". I can understand that the function $f$ can be differentiated tw...
I am trying to get an intuition (ohh, the irony) about the logical truth tables. In particular, I am looking at the basic conditional P->Q with the fol...
