Difference between PEMDAS and BODMAS. - Mathematics Stack …
Dec 21, 2022 · Division is the inverse operation of multiplication, and subtraction is the inverse of addition. Because of that, multiplication and division are actually one step done together from left to …
Who first defined truth as "adæquatio rei et intellectus"?
Mar 28, 2022 · António Manuel Martins claims (@44:41 of his lecture "Fonseca on Signs") that the origin of what is now called the correspondence theory of truth, Veritas est adæquatio rei et …
Prove that $1^3 + 2^3 + ... + n^3 = (1+ 2 + ... + n)^2$
HINT: You want that last expression to turn out to be $\big (1+2+\ldots+k+ (k+1)\big)^2$, so you want $ (k+1)^3$ to be equal to the difference $$\big (1+2+\ldots+k+ (k+1)\big)^2- (1+2+\ldots+k)^2\;.$$ …
Why is $\infty\times 0$ indeterminate? - Mathematics Stack Exchange
"Infinity times zero" or "zero times infinity" is a "battle of two giants". Zero is so small that it makes everyone vanish, but infinite is so huge that it makes everyone infinite after multiplication. In …
Taylor Series for $\log (x)$ - Mathematics Stack Exchange
Nov 29, 2013 · the Taylor series for ln (x) is relatively simple : 1/x , -1/x^2, 1/x^3, -1/x^4, and so on iirc. log (x) = ln (x)/ln (10) via the change-of-base rule, thus the Taylor series for log (x) is just the Taylor …
Direct proof that integral of $1/x$ is $\ln (x)$ [closed]
Oct 3, 2021 · Want to improve this question? As written, this question is lacking some of the information it needs to be answered. If the author adds details in comments, consider editing them into the …
Good book for self study of a First Course in Real Analysis
Sep 6, 2011 · Does anyone have a recommendation for a book to use for the self study of real analysis? Several years ago when I completed about half a semester of Real Analysis I, the instructor used …
Alternative notation for inverse function - Mathematics Stack Exchange
Feb 23, 2018 · Are you're probably aware, there are common special notations for inverses of certain special functions, e.g., $\arctan$, $\operatorname {arsinh}$, etc. (Of course, $\arctan$ is not the …
Is there an identity for cos (ab)? - Mathematics Stack Exchange
May 9, 2014 · I know that there is a trig identity for $\cos (a+b)$ and an identity for $\cos (2a)$, but is there an identity for $\cos (ab)$? $\cos (a+b)=\cos a \cos b -\sin a \sin b$ $\cos (2a)=\cos^2a-\sin^2a$ ...
Are There Any Symbols for Contradictions? - Mathematics Stack …
Perhaps, this question has been answered already but I am not aware of any existing answer. Is there any international icon or symbol for showing Contradiction or reaching a contradiction in Mathem...