Something intuitive in common with different quotients February 13

Something intuitive in common with different quotients
Quotient groups in group theory, quotient ideals in algebraic geometry, quetient in calculus equals the result after division -- do they have something in common and what is an intuitive mot ...

Square Integrable Functions Formula February 13

Square Integrable Functions Formula
The book reads as follows:"Let $a(x)$ and $b(x)$ be square integrable functions defined on [$a , b$]. First we note that it follows from the elementary inequality $|ab| \le 1/2 (a^2 + b ...

Help Interpreting a Differential Equation Plot February 13

Help Interpreting a Differential Equation Plot
I am a bit confused over a result that I am getting for a differential equation solved analytically and numerically along with the direction plot. Basically, it the system is as follows: $$ ...

Linear Algebra Quadratic True False February 13    2

"Every quadratic form $x^TAx$ with $A$ an invertible matrix is either positive definite, negative definite, or indefinite."Is this true or false? I am just wondering does it have to be positive, negative, or indefinite? I am thinking that if the

At what points is the norm map Frechet differentiable at February 13

At what points is the norm map Frechet differentiable at
I know the definition of Frechet derivatives but how do I apply it here? Maybe there is a theorem I need to know to make it easier?

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