[-] wischi@programming.dev 3 points 9 months ago

How did you install chocolatey or downloaded the script to install it?

[-] wischi@programming.dev 2 points 1 year ago

Thank you for taking the time reading it.

[-] wischi@programming.dev 2 points 1 year ago

You are right the manual isn't very clear here. My guess is that parentheses are also considered Type B functions. I actually chose those calculators because I have them here and can test things and because they split the implicit multiplication priority. Most other calculators just state "implicit multiplication" and that's it.

My guess is that the list of Type B functions is not complete but implicit multiplication with parentheses should be considered important enough for it to be documented.

[-] wischi@programming.dev 2 points 1 year ago

Thank you so much for taking the time and reading the post. I just fixed the typos, many thanks for pointing them out.

There is nothing really to be embarrassed about and if you look at the comment sections of such viral math posts you can see that you are certainly not the only one. I think that mnemonics that use "MD" and "AS" without grouping like in "PE(MD)(AS)" are really to blame here.

An alternative would be to drop the inverse and only use say multiplication and addition as I suggested with "PEMA" but with "PEMDAS" one basically sets up students for the problem that they think that multiplication comes before division.

[-] wischi@programming.dev 2 points 1 year ago

Thank you for taking the time to read it.

[-] wischi@programming.dev 2 points 1 year ago

I still don't see a number ;-) but you can take a look at the meme to see other people with math degrees shouting at each other.

[-] wischi@programming.dev 3 points 1 year ago* (last edited 1 year ago)

The problem with BODMAS is that everybody is taught to remember "BODMAS" instead of "BO-DM-AS" or "BO(DM)(AS)". If you can't remember the order of operations by heart you won't remember that "DM" and "AS" are the same priority, that's why I suggested dropping "division" and "subtraction" entirely from the mnemonic.

It's true that calculators also don't dictate a standard but they implement what conventions are typically used in practice. If a convention would be so dominating (let's say 95% vs 5%) all calculator manufacturers would just follow the 95% convention, except maybe for some very special-purpose calculators.

[-] wischi@programming.dev 2 points 1 year ago* (last edited 1 year ago)

Same priority operations are solved from left to right. There is not a single credible calculator that would evaluate "6 / 2 * 3" to anything else but 9.

But I challenge you to show me a calculator that says otherwise. In the blog are about 2 or 3 dozend calculators referenced by name all of them say the same thing. Instead of a calculator you can also name a single expert in the field who would say that 6 / 2 * 3 is anything but 9.

[-] wischi@programming.dev 2 points 1 year ago

I tried to be careful to not suggest that scientist only use strong juxtaposition. They use both but are typically very careful to not write ambiguous stuff and practically never write implicit multiplications between numbers because they just simplify it.

At this point it's probably to late to really fix it and the only viable option is to be aware why and how this ambiguous and not write it that way.

As stated in the "even more ambiguous math notations" it's far from the only ambiguous situation and it's practically impossible (and not really necessary) to fix.

Scientist and engineers also know the issue and navigate around it. It's really a non-issue for experts and the problem is only how and what the general population is taught.

[-] wischi@programming.dev 2 points 1 year ago

Thank you for your kind words, really appreciate it.

[-] wischi@programming.dev 3 points 2 years ago

And how is "even" special? Two is the only prime that's divisible by two but three is also the only prime divisible by three.

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wischi

joined 2 years ago