A simple inequality #mathematics #highschoolcalculus

#Mathematics #Calculus #functional_differential_equation #μαθηματικά

#geometric #mathematics #μαθηματικά

a plausible statement #calculus #mathematics #μαθηματικά

#mathematics #geometry #μαθηματικά

Based on Hilbert's Foundations of Geometry math.berkeley.edu/~wodzicki/160/… "Without employing Axiom of Completeness, Axiom groups I,II,III,IV,V alone cannot prove that a line passing through the interior of a circle intersects with it #Mathematics #μαθηματικά

#highschoolcalculus #mathematics #μαθηματικά

#Mathematics #Calculus #μαθηματικά

For k=1, the function f(x) = x² has the described property. But for 0<k≠1, can we find an example of a function with this property? #parabola #Mathematics #calculus #μαθηματικά

Can't take my eyes off this beauty... (I do not have a proof) #inequality #Mathematics #μαθηματικά (Source: mathematica.gr/forum/app.php/…)

What is the length of the green segment? #mathematics #μαθηματικά #geometry #puzzle

Isosceles triangle: The distances from the yellow point to the sides are 1, √2, and 2 #mathematics #μαθηματικά #γεωμετρία #puzzle

#mathematics #μαθηματικά

Let’s prove a plausible fact: Any non‑constant C¹ function on a closed interval that takes the same value at both ends must hit that same height twice inside—with opposite‑sign slopes at those two points. #μαθηματικά #mathematics

Whenever you need a choice function, the Axiom of Choice isn’t always required. In certain situations you can build one explicitly, just like in this: #axiomofchoice #μαθηματικά

Ιnspired by a mathematica.gr post #μαθηματικά

We need one extra condition on g so that the implication in the picture always holds. Which condition? Limits are the usual ε–δ ones—and no smuggling in the Axiom of Choice! #μαθηματικά

#puzzle

#mathematics #inequality #μαθηματικά

#μαθηματικά #mathematics #analysis