The Wiert Corner – irregular stream of stuff

Jeroen W. Pluimers on .NET, C#, Delphi, databases, and personal interests

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Archive for the ‘Mathematics’ Category

Trick OR/AND/XOR/NOR/NAND/XNOR Treat.

Posted by jpluimers on 2025/10/31

Distorted jpeg of "Trick OR/AND/XOR/NOR/NAND/XNOR Treat"

Distorted jpeg of “Trick OR/AND/XOR/NOR/NAND/XNOR Treat”

Last Halloween,  📊 on X [WaybackSave/ArchiveWip] posted the image on the right:

[WaybackSave/Archive] GbOGt73WcAAAqnz.jpg (1199×594)

[WaybackSave/Archive] Tweet JSON

It is a play on [Wayback/Archive] Visual Representation of SQL Joins- CodeProject, which made [Wayback/Archive] Visual Representation of SQL Joins [RTzRa’s hive] to include it as well.

The original with some extensions are from @38mo1:

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Old programming books had cool little “puns” in their references, modern lack them in their indices. On the why, and history of them.

Posted by jpluimers on 2025/01/01

I wrote a two earlier blog posts around puns in programming book indices before:

  1. the 1992 Turbo Pascal 7.0 Language Guide having both entry in the manual about Recursion (“recursive loop, see recursive loop”) which of course is similar to “infinite loop” and entries for “infinite loop See loop, infinite” and “loop, infinite See infinite loop”.
  2. infinite loop in “LaTeX: A Document Preparation System” by Leslie Lamport, printed in 1994.

In the last one, I promised to list more occurrences which I now finally had time for to do.

But let me first elaborate more on the observation that modern computer books (like for instance on C# and Delphi beyond version 1) lack these kinds of index pun.

On the Delphi side, the index entry joke for recursion got removed no later than Delphi 3 (I am still looking for a Delphi 2 version of the Object Pascal Language Guide, see further below) even before the book being fully redone electronically and the index pages generation being automated in

I think I even understand why that is: the process of creating of indices. By the start of this century, more and more indices were automatically being generated and for the last 2 decades or so, all of them are. Back in the days however, indices were mostly done by hand. Nowadays, with everything automated, it is actually pretty tricky in most environments to add such an “infinite loop” index entry like in the Turbo Pascal book, as it would require two things at once:

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Posted in .NET, C, C#, C++, Conference Topics, Conferences, Delphi, Delphi 1, Delphi 2, Development, EKON, Event, History, LaTeX, LifeHacker, LISP, Mathematics, Pascal, Perl, PL/I (a.k.a. PL/1), Power User, science, Software Development, Turbo Pascal, Typesetting | Tagged: , | 4 Comments »

Linear Algebra | Mathematics | MIT OpenCourseWare

Posted by jpluimers on 2024/09/20

In case I ever need to refresh my linear algebra knowledge, this series of videos is where to start: [Wayback/Archive] Linear Algebra | Mathematics | MIT OpenCourseWare

The videos: [Wayback/Archive] Video Lectures | Linear Algebra | Mathematics | MIT OpenCourseWare

Via: [Wayback/Archive] Santiago on Twitter: “The best linear algebra course out there. PERIOD. For Free! MIT’s Professor Gilbert Strang. Go through these videos, and you’ll never ever have a problem with linear algebra again!”

–jeroen

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Heat development in the car according to time and outside temperature – Hitzeentwicklung im Auto nach Zeit und Außentemperatur | Statista

Posted by jpluimers on 2024/06/21

Most PNG/JPEG versions of this get the bottom right corner wrong (it should read 66 Celsius, not 68).

I have colourised the table as most of the PNG/JPEG versions have.

[Wayback/Archive] Hitzeentwicklung im Auto nach Zeit und Außentemperatur | Statista (English below)

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Posted in cars, Health, LifeHacker, Mathematics, Power User, science | Leave a Comment »

Lissage Angels on Twitter: “Escher’s Rubik’s Cube ” / Twitter

Posted by jpluimers on 2023/07/03

[Archive] Lissage Angels on Twitter: “Escher’s Rubik’s Cube …” / Twitter

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If you can read German and ever need to explain number or set theory to your kids, use this thread by isotopp…

Posted by jpluimers on 2023/02/02

Long thread at [Archive.is] Kristian Köhntopp on Twitter: “Tage im Lockdown. Heute, Diskussion mit der Frau (die das gerade dem Kind erklärt) über Brüche vs irrationale Zahlen (also keine Brüche). Wir enden bei Zahlentheorie, …”

I expanded it using [Wayback] Thread by @isotopp on Thread Reader App – Thread Reader App:

Tage im Lockdown. Heute, Diskussion mit der Frau (die das gerade dem Kind erklärt) über Brüche vs irrationale Zahlen (also keine Brüche).

Wir enden bei Zahlentheorie, … 

… und Mengenlehre. Wir machen gerade Bruchrechnung, also ℚ, und ich hatte versucht zu erklären, daß ℚ[0,1[, ℚ und ℤ nur Cosplay von ℕ sind.

Richtig ätzend ist nur ℝ, oder genauer ℝ\ℚ, also 𝕀. 

Das Ergebnis war eine Tour von Zahlentheorie (“Hier ist die leere Menge, wir machen uns ℕ = {}, {{}}, {{}, {{}}}, … durch Generierung unterscheidbarer Elemente und Bestimmung der Mächtigkeit, dann erfinden wir die Addition, dann bekommen wir … 

… kostenlos Assziativität, Kommutativität, dann erfinden wir Kettenadditionen und Multiplikation und bekommen Distributivität.

Dann erfinden wir Umkehroperationen und weil wir Algebren wollen, muß ℕ zu ℤ werden. Ist das schlimm? Nein, wir können ℕ auf ℤ abbilden. 

Ist das schlimm? Nein, es ist eine Bijektion, also sind es dieselbe Menge, ℤ ist ein Cosplay von ℕ.

Dasselbe kriegen wir mit der Umkehrung der Multiplikation, der Division, und den Brüchen, und ℚ und de.wikipedia.org/wiki/Cantors_e…

ℚ ist also auch ein Cosplay von ℕ. 

So weit war alles einfach erklärbar, auch wenn das bei mir schon 30 Jahre her ist. Aber dann kommen wir darauf, daß ℚ[0,1[ und ℚ gleich mächtig sind, und das wird zunächst mal intuitiv abgelehnt. 

Offen sind noch 𐡀-Null mächtiger als 𐡀-Eins, und daß es mehr irrationale als rationale Zahlen gibt, und de.wikipedia.org/wiki/Hilberts_….

Und ich kann diese Beweise nicht mehr aus dem Stand…

Jetzt habe ich die Aufgabe, das als verständliche Erklärung vorzubereiten. 

Eigentlich ist das alles total schön, weil die ganze Mathematik aus der leeren Menge, und dem Willen eine Algebra zu haben (also weiter rechnen zu können) zu folgern ist.

Aber manchmal ist Geekhaushalt auch anstrengend…

–jeroen

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Indeterminate Form Infinity Times Zero – YouTube

Posted by jpluimers on 2021/09/06

Infinity is not a number and you cannot do arithmetic with it. This means that in mathematics, in contrast to what some people believe, infinity times zero might not equal to zero.

As infinity as mind boggling to most, two interesting videos below.

The first about infinity times zero, the second about some interesting paradoxes around infinity.

But first a few other links:

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