## PAE patch updated for Windows 10

This patch allows you to use more than 3/4GB of RAM on an x86 Windows system. Works on Windows Vista SP2, Windows 7 SP0, Windows 7 SP1, Windows 8, Windows 8.1 a...

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# Author: wj32

## PAE patch updated for Windows 10

## F# code: memoize a recursive function

## Horn’s inequality for singular values via exterior algebra

## New web host

## PAE patch updated for Windows 8.1

## Line integrals: 3. Applications to complex analysis

## Line integrals: 2. Locally exact forms and singular homology

## Line integrals: 1. Exact, conservative and closed forms

## First-order ODEs, matrix exponentials, and det(exp)

## Fréchet derivative of the (matrix) exponential function

information when you need it

This patch allows you to use more than 3/4GB of RAM on an x86 Windows system. Works on Windows Vista SP2, Windows 7 SP0, Windows 7 SP1, Windows 8, Windows 8.1 a...

In this article we’ll look at how to memoize a general function f : ('a -> 'b) -> 'a -> 'b in F#, along with some interesting applications. Gener...

\( \DeclareMathOperator{\tr}{tr} \DeclareMathOperator{\sgn}{sgn} \DeclareMathOperator{\Id}{Id} \)Horn’s inequality states that for any two compact operato...

I’ve moved this website to Fresh Roasted Hosting because the previous host was awful in terms of reliability and support. The whole process only took a fe...

Note: An updated version for Windows 10 is available. This patch allows you to use more than 3/4GB of RAM on an x86 Windows system. Works on Windows Vista SP2, ...

\( \newcommand{\bbc}{\mathbb{C}} \newcommand{\Int}{\operatorname{Int}} \)Navigation: 1. Exact, conservative and closed forms | 2. Locally exact forms and singul...

Navigation: 1. Exact, conservative and closed forms | 2. Locally exact forms and singular homology | 3. Applications to complex analysis As in part 1, \(E,F\) a...

Navigation: 1. Exact, conservative and closed forms | 2. Locally exact forms and singular homology | 3. Applications to complex analysis The line integral is a ...

Last time we derived a formula for the derivative of the matrix exponential. Here we will be focusing instead on the expression $$D\exp(x)u=\exp(x)u=u\exp(x),$$...

$$ D\exp(x)u = \int_0^1 e^{sx}ue^{(1-s)x}\,ds. $$ This intriguing formula expresses the derivative of the exponential map on a Banach algebra as an integral. In...