(14) Άνισότητα με συνθήκη(όχι και τόσο συνηθισμένη) - mathematica.gr

(14) Άνισότητα με συνθήκη(όχι και τόσο συνηθισμένη) - mathematica.gr



Έστω $\displaystyle x,y$ δύο θετικοί αριθμοί τέτοιοι ώστε να ισχύει  $\displaystyle {x^2} + {y^2} + x \ge {x^4} + {y^4} + {x^3}$.

Να αποδείξετε ότι:

$\displaystyle \frac{{1 - {x^4}}}{{{x^2}}} \ge \frac{{{y^2} - 1}}{y}$

What is \(0^0\), and who decides, and why does it matter? Definitions in mathematics. | On Teaching and Learning Mathematics

What is \(0^0\), and who decides, and why does it matter? Definitions in mathematics. | On Teaching and Learning Mathematics: By Art Duval, Contributing Editor, University of Texas at El Paso How is \(0^0\) defined? On one hand, we say \(x^0 = 1\) for all positive \(x\); on the other hand, we say \(0^y = 0\) for all posit…

Real Algebraic and Analytic Geometry - Preprint Server

Real Algebraic and Analytic Geometry - Preprint Server

Πραγματικές ρίζες πολυωνύμου - Θεώρημα Sturm