/explore

Click through on any links that interest you or select the planets on the right to continue exploring the Outer Web.
You are here

planetmath.org
| | cgad.ski

[AI summary] This article explores the asymptotic growth of the central binomial coefficient using Laplace's method to analyze random walks on integer lattices.
2.3 parsecs

Travel
| |
| | www.johndcook.com

Analogs of Euler's formula exp(ix) = cos(x) + i sin(x) in other number systems, namely dual numbers and double numbers.
10.4 parsecs

Travel
| |
| | ckrao.wordpress.com

In this post I would like to prove the following identity, motivated by this tweet. $latex \displaystyle n! \prod_{k=0}^n \frac{1}{x+k} = \frac{1}{x\binom{x+n}{n}} = \sum_{k=0}^n \frac{(-1)^k \binom{n}{k}}{x+k}$ The first of these equalities is straightforward by the definition of binomial coefficients. To prove the second, we make use of partial fractions. We write the expansion $latex \displaystyle...
6.0 parsecs

Travel
| |
| | 0x44.cc

[AI summary] The article provides an in-depth explanation of reverse engineering concepts, including CPU operations, memory representation, data structures, and disassembly techniques. It guides readers through understanding machine code, endianness, signed integers, and how to analyze C code using tools like Visual Studio and disassemblers.
32.6 parsecs

Travel
|