This post confuses me. Why would code be simpler than the math notation? Both involve symbolic abstraction of basically the same complexity
Its got to be a relatively small group who knows enough to understand loops and is also afraid of math symbols.
Hi, I’m the problem. It’s me.
I’m in that group I think. I do like a liiitle bit of coding in some tiny specific progrqmming language in one piece of software that I use. I understand the basics but try to avoid having to do it. But while code is a little scary to me, math is much scarier lol
I believe this group could be bigger than some may think. I, and the team I work with, work with for loops similar to these on a regular basis. And only one of us has a bachelor’s degree in math. The rest of us don’t really understand the math unless it is applied.
Those of us born in the 70s… Doing anything with a computer required knowing at least a little programming, so we learned at 8 years old, then when we got to high school/college, we were taught by people who knew nothing about programming because they were already old and didn’t think they needed to learn anything new…
Hellllooo I just took a c++ class and remedial math 🤣.
Maybe not so small?
I never encountered these math symbols but for loops are like step 3 in any programming language after variables and conditionals
lol, like 2.5% of the USA are programmers and even if we say twice that number have experimented and taken programming classes, that’s like 1 in 20 people who would even have ever encountered a for loop. This nsf report says ~70% of highschoolers have taken Algebra 2 or a more advanced math course, which is when sum notation is usually introduced. I think 70% is a little greater than 5%!
Not really sure if this answers your question (I agree with you, ultimately), but here’s my experience:
At the college I attended, these sigma/pi expressions weren’t taught until the end of Calculus 2, but I wanted to take an Algorithms class - which had calc 2 as a prerequisite.
I got an exception from my advisor which allowed me to take Algorithms before the pre-req. In my experience, these concepts were easily learned in the context of algorithmic complexity.
Some might be barred from learning important theory in computer science by “brutal” math classes at university. They might find solace in this post which translates sigma into ‘for’
I forget what the symbols mean but I’m sure not gonna forget what a for loop means
They are the same difficulty level, sure, but that’s like saying f(x) and f’(x) are at the same difficulty level. Coming from one to the other in a process is the difficult part, and the code offers instructions to follow this process.
Math notation is just terrible in general because a lot of it is shorthand made up by someone who likes single-letter variables. A symbol you can’t type, something above, something below.
A for loop is clear and descriptive.
Or if you’re feeling fancy, you could go functional withreduce(add, range(0, 5), 0).Mathematical notation was designed to be written by hand. It is at least as clear and descriptive as any syntax from a programming language. You’re pretending that the abstraction behind a for loop is somehow less than that behind a sum or product notation.
i hate that we all got so frightened about math. it’s genuinely fun to learn how it works when you’re not being forced to in a school setting, which was just a fucking nightmare for no reason. i had this former navy DI lady teacher in gifted kid algebra [so already a year ahead] yell at me for asking questions; she wasn’t going to ‘hold my hand’ thru the homework, which was quite literally her fucking job
Turning 35 in a month and I’ve just started learning maths again after being afraid of it because of a similar situation to yours.
Im sorry you had awful teachers, but not all of them are bad. I had amazing teachers that were very worried for the students to learn. In contrast I had very shitty classmates that just didn’t care and would blame the teachers for their laziness.
i completely agree. this sentiment was echoed pretty well in a (nontechnical and accessible) paper i read a few years ago. he says the current approach is like forcing people to learn music, but only teaching them how to read sheet music and not letting them touch any instruments. it hides the creativity and problem-solving of the discipline and reduces it to memorizing formulas.
Fear fear fear. The same old, actually hollow from the inside, villian that bugs me everywhere
People who are arguing that one way of expressing these concepts is easier to learn/understand than the other are missing the whole point. Mathematical notation was not designed to teach students how to do math or explain how to design algorithms. It was invented to communicate precise, abstract ideas concisely between mathematicians who already understand what the symbols mean.
Mathematicians require a notation that has the flexibility to manipulate mathematical objects/symbols in a way that naturally emphasizes their properties and relationships. Often they don’t even care whether the objects they’re studying are even computable or have a numerical representation. They just need them to have certain properties so that they can be manipulated appropriately.
Discrete sums are a rare example of when the mathematical notation overlaps with the description of an algorithm for computing its value (and the overlap is not even complete; infinite sums are easily represented in math notation but are practically uncomputable when implemented naively). Every other advanced mathematical concept puts a premium on ease of symbol manipulation over computability: integrals, derivatives, matrix multiplication, abstract algebra, etc.
TL;DR math notation is complex because its intended audience is people who already understand it, want maximum flexibility of symbol manipulation, and historically didn’t really care about practical computation.
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These scary large math symbols aren’t scary at all and easily explained. The scary parts of maths lie elsewhere. They are discrete, nonlinear or high dimensional and sometimes even the numbers are complex… Or worse.
Quaternions are the closest you’ll ever get to lovecraftian horror in real life.
Yea that’s not explained better than a math teach. They just swapped notation common in math, for notation common in one specific programming language. it’s only easier for the audience who happens to be familiar with programming in general, and that language in particular.
I think the concept of a for loop is easier to learn, even for non-programmers, as biased as I may be.
The hard part of math isn’t understanding esoteric symbols it’s the theory behind it and it’s application. Number theory will mindbreak almost all people.
Just notational difference other than presence of mutation… How is it harder to understand
3 + 6 + 9 + ... + 3nmeans compared to the for loop? Is repeated addition hard to grasp?Meme is gud, title is stupid
Stfu basement dweller. Forgot what channel your in?
This is the part of Reddit that I don’t miss. Please let’s not do this.
I have no idea what these math things are but I understand the code perfectly lol
Theyarethesame.png
Fuck! Im 40 and this is the first time I understand the sigma sign!! Thank you!
Couldnt they just show this to me at 7th grade or something when i already learned pascal?
than
Maybe I’m crazy but they did teach me this in school. “This means so this operation until conditions are met”.
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In a way I always thought coding was more intuitive than maths writing norms. That is if you speak English. If not, it’s as much daunting as weird greek symbols.
Ok but this is a bit of an unfair comparison given that Freya is pretty god tier at actually explaining math things.
This isn’t even god tier, it’s just that more people are familiar with the basics of programming than higher level math, which is honestly a good thing.
Maybe not this, but her video on splines is amazing.
Invented in the 50s, Fortran = FORmula Translating language. It was basically created to solve this sort of problem.
