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Recently I saw this clip on YouTube which has a revolutionary idea of mathematical notations,What do you think about it?
Mathematical notation[edit]
A mathematical notation for manipulating arrays was developed by Kenneth E. Iverson, starting in 1957 at Harvard University. In 1960, he began work for IBM where he developed this notation with Adin Falkoff and published it in his book A Programming Language in 1962.[2] The preface states its premise:
Applied mathematics is largely concerned with the design and analysis of explicit procedures for calculating the exact or approximate values of various functions. Such explicit procedures are called algorithms or programs. Because an effective notation for the description of programs exhibits considerable syntactic structure, it is called a programming language.
This notation was used inside IBM for short research reports on computer systems, such as the Burroughs B5000 and its stack mechanism when stack machines versus register machines were being evaluated by IBM for upcoming computers.
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As early as 1962, the first attempt to use the notation to describe a complete computer system happened after Falkoff discussed with William C. Carter his work to standardize the instruction set for the machines that later became the IBM System/360 family.
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One of the motivations for this focus of implementation was the interest of John L. Lawrence who had new duties with Science Research Associates, an educational company bought by IBM in 1964. Lawrence asked Iverson and his group to help use the language as a tool to develop and use computers in education.[12]
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A key development in the ability to use APL effectively, before the wide use of cathode ray tube (CRT) terminals, was the development of a special IBM Selectric typewriter interchangeable typing element with all the special APL characters on it. This was used on paper printing terminal workstations using the Selectric typewriter and typing element mechanism, such as the IBM 1050 and IBM 2741 terminal.
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Many APL symbols, even with the APL characters on the Selectric typing element, still had to be typed in by over-striking two extant element characters. An example is the grade up character, which had to be made from a delta (shift-H) and a Sheffer stroke (shift-M). This was necessary because the APL character set was much larger than the 88 characters allowed on the typing element, even when letters were restricted to upper-case (capitals).
Dyselxia I mean Dyslexia.3blue1brown
HaDyselxia I mean Dyslexia.
When I wrote it, I was thinking blue is 1/4 and brown is 3/4 of the visual icon he uses. But I guess I interchanged the colors in my mind.
If I see ##\log_b\; , \; \sqrt[n]{.} \; , \;a^m## I know immediately all allowed laws and rules. If someone gave me this, sorry incredible stupid triangular, all I have a chance with is to confuse which corner tells me what. And do we also omit the basis like we do if it's the Euler constant?I found the following comment from the video rather amusing; "Just think about how confusing logarithms were the first time that you learned about them."
The first time? Ha! I've been tinkering with maths for 45 years now, and still have to pull out a cheat sheet of logarithms and exponents every time I have to use them in a problem. I think I'll give these new triangles a try.
Instead of seriously discussing this, we should change the title of the thread to "Triangle of Confusion and other strange ideas", move it into general discussion, as it has nothing to do with mathematics, and encourage members to invent other nonsense notations.
Amen!The whole issue is simply a work therapy for didactic professors who ran out of ideas to reinvent the wheel for the hundredth time. I've seen so many nonsense in school books so far, this would only be another one.
... whilst the exact same formula doesn't make use of ##\triangle##?With respect the use of ##\square## I think that’s taken as the Delambertian used in GR as 4th dim analogue of the ##\nabla## operator.
https://en.m.wikipedia.org/wiki/D'Alembert_operator
I always used Switzerland as mnemonic: We abbreviate voltage by "U" here (don't ask me why), and then ##U=RI## becomes a Swiss canton.Don't confuse this with the Ohm's Law triangle.
http://ohmlaw.com/voltage-current-resistance-triangle-vir-triangle/
View attachment 232494
And electrical "power" is [itex]VI[/itex], [itex]I^2R[/itex], and [itex]\frac{V^2}{R}[/itex]
Ok then.and encourage members to invent other nonsense notations
Wow.I got interested,what exactly is that?Ok then.
I guess it's not quite the right time to introduce my new "Diamond of Doom" idea.
???... whilst the exact same formula doesn't make use of ##\triangle##?
???