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algebra-precalculus

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Are there reasons to prefer one definition of the exponential function over the other?

Jan 3, 2023

Where is the mistake in the argument in favor of the (erroneous) claim "every Dedekind cut is a rational cut"?

May 10

Equation of the parabola $y=x^2$ sliding normally on the ellipse $x^2/6^2+y^2/3^2=1$, and opening outwards. How to avoid the use of $\text{sgn}(x)$?

Oct 23, 2022

How do we know that the derivative number is actually the slope of the tangent line ( to the graph of a given function)?

Jul 30, 2023

Without calculus, what is the maximum value of the rational function : $f(t)= \frac {30t} {t^2 + 2}$

Dec 4, 2022

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Why can't $|x-2|$ be less than zero?

Nov 20, 2021

Is the meaning (semantics) of an arithmetic expression its value? Eg, is "$2$" the meaning of "$1+1$"?

Jan 11, 2022

How does $2^{(\log_4{x})}$ become $\sqrt[2]{x}$?

Nov 20, 2021

Subtleties of "unknown" vs. "variable"

Oct 16, 2022

Logic: Can we use rule of inferences to show logically equivalent?

Apr 5, 2022

Reputation

+10

Derivation of Euler-Lagrange's equation by Susskind : " the change in x_i when I change v_i a little bit is $1/ \epsilon (= 1/ \Delta t)$".

+68

Where is the mistake in the argument in favor of the (erroneous) claim "every Dedekind cut is a rational cut"?

+25

Why does set-theoretic union and intersection operate on reverse logic?

-2

If $a,b,x,y$ are integers such that $ax+by = \gcd(a,b) $, then $ \gcd (x,y)=1$

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