Skip to content
wj32
information when you need it
  • Home
  • About
  • Software
    • Process Hacker
    • WJ’s Backup
    • Empty Standby List
    • Other utilities
  • Mathematics

Author: wj32

Hardware/Programming/Windows

PAE patch updated for Windows 10

Posted on February 1, 2016 by wj32 / 543 Comments

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...

F#/Programming

F# code: memoize a recursive function

Posted on January 13, 2016 by wj32 / 4 Comments

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...

Mathematics

Horn’s inequality for singular values via exterior algebra

Posted on December 29, 2015 by wj32 / 0 Comment

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

Website

New web host

Posted on September 14, 2014 by wj32 / 2 Comments

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...

Hardware/Programming/Windows

PAE patch updated for Windows 8.1

Posted on October 25, 2013 by wj32 / 304 Comments

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, ...

Mathematics

Line integrals: 3. Applications to complex analysis

Posted on June 10, 2013 by wj32 / 2 Comments

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

Mathematics

Line integrals: 2. Locally exact forms and singular homology

Posted on June 3, 2013 by wj32 / 6 Comments

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...

Mathematics

Line integrals: 1. Exact, conservative and closed forms

Posted on June 1, 2013 by wj32 / 11 Comments

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

Mathematics

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

Posted on March 11, 2013 by wj32 / 0 Comment

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

Mathematics

Fréchet derivative of the (matrix) exponential function

Posted on February 28, 2013 by wj32 / 2 Comments

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

Posts navigation

1 2 … 5 Next »

Recent Posts

  • 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

Recent Comments

  • John on Process Hacker
  • Hỗ trợ Windows 7, 8, 10 và Vista 32-bit (x86) Nhiều hơn Bộ nhớ 4GB - SnackGuide.net on PAE patch updated for Windows 8
  • What is the higher-order derivative test in multivariable calculus? – Math Solution on Differentiation done correctly: 5. Maxima and minima
  • Mr. Saxobeat on PAE patch updated for Windows 10
  • Mr. Saxobeat on PAE patch updated for Windows 10

Archives

  • February 2016
  • January 2016
  • December 2015
  • September 2014
  • October 2013
  • June 2013
  • March 2013
  • February 2013
  • January 2013
  • December 2012
  • November 2012
  • October 2012
  • April 2012
  • December 2011
  • October 2011
  • February 2011
  • July 2010
  • May 2010
  • March 2010
  • January 2010
  • May 2009
  • April 2009
  • February 2009
  • January 2009
  • October 2008

Categories

  • F#
  • Hardware
  • Mathematics
  • Programming
  • Website
  • Windows

Meta

  • Log in
  • Entries feed
  • Comments feed
  • WordPress.org
© 2022 wj32
Powered by WordPress | Theme: Graphy by Themegraphy