Techniques
Mathematics
\[\int_a^b f'(x)\; dx = f(b) - f(a),\quad\quad\quad\frac{d}{dx}\left(\int_a^x f(t)\; dt\right)=f(x)\]The integration on forms concept is of fundamental importance in differential topology, geometry, and physics, and also yields one of the most important examples of cohomology, namely de Rahm cohomology, which (roughly speaking) measures precisely the extend to which the fundamental theorem of calculus fails in higher and on general manifolds.
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One-form
Category:
Date: 2025-08-27 00:00:00 +0000
Tags: 1-form,integral,FTC
Cryptography
\[c = \operatorname{Enc}_k(m),\quad m = \operatorname{Dec}_k(c),\qquad \Pr[M = m \mid C = c] = \Pr[M = m]\]"The enemy knows the system."
Programming
\[\text{Program} = \text{Algorithms} + \text{Data Structures}\]"Programs must be written for people to read, and only incidentally for machines to execute."