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Mathematics Cheat Sheet [pdf]

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Re: Mathematics Cheat Sheet [pdf]

#32
post #17

Sorry if I sound exclusively negative about someone else's hard work – that is not the intention. I find people's obsession over memorizing mathematical symbols (part 2) really strange. If you understand what the concepts involved in a symbol mean, you won't have a problem recognizing the commonly used symbols. And if you don't understand what the concepts involved mean, then having memorized the symbol does you no g…

>If you understand what the concepts involved in a symbol mean, you won't have a problem recognizing the commonly used symbols. >And if you don't understand what the concepts involved mean, then having memorized the symbol does you no good.

this would imply in learning a new language if you know what the concepts a word refers to means that you won't have any difficulty recognizing the word - no matter how many words there are, how long the statement you are reading is, and how similar various words are to each other?

When learning something it is nice to have a reference.

Re: Mathematics Cheat Sheet [pdf]

#34
post #17

Sorry if I sound exclusively negative about someone else's hard work – that is not the intention. I find people's obsession over memorizing mathematical symbols (part 2) really strange. If you understand what the concepts involved in a symbol mean, you won't have a problem recognizing the commonly used symbols. And if you don't understand what the concepts involved mean, then having memorized the symbol does you no g…

>If you understand what the concepts involved in a symbol mean, you won't have a problem recognizing the commonly used symbols. >And if you don't understand what the concepts involved mean, then having memorized the symbol does you no good. this would imply in learning a new language if you know what the concepts a word refers to means that you won't have any difficulty recognizing the word - no matter how many words…

Indeed - formal symbols have no intrinsic meaning, and one must learn their meaning as a separate step from learning their form and how to recognize them.

One's chances of finding out what an unfamiliar symbol means in context (or a familiar symbol in unfamiliar usage) is greatly helped (though not completed) if you can get a name or one or more précis of its uses.

Re: Mathematics Cheat Sheet [pdf]

#35

Do people really use this or any other of the cheatsheets you find online? In my experience, any cheat sheet that I didn't make myself is useless to me. Going directly to the sheet without having done the synthesis of information yourself skips the most important part of the process.

I do. Mainly for things I don't really intend to memorize. It's just an easier reference than, say, a man page.

Re: Mathematics Cheat Sheet [pdf]

#37
Probably the best applied math "tutorial" without all the bullshit I've yet seen is the mathematical background appendix in Probabilistic Machine Learning: An Introduction by Kevin P. Murphy.

Re: Mathematics Cheat Sheet [pdf]

#39
post #29

Earlier quoted context omitted.

It's also totally trivial when you rewrite it slightly: (r + r + 1 - 1) / 2. So basically adding r to itself to get 2r then dividing by 2 gives you back r, with a pointless plus and minus 1 thrown in.

It's trivial only if you are simplifying mathematical expression. When you have to go the opposite direction, you start with r and must turn it something that fits some other expression, there are infinite ways to proceed. Right ones rarely just pop up into your mind. Remembering trivial identities things like that are useful as small intermediate steps when manipulating expressions.

But this still does not answer why this expression is specifically listed for rational numbers as it is true for subsets of the rational numbers like the integers as well as for supersets of the rational numbers like the real numbers.

Re: Mathematics Cheat Sheet [pdf]

#40

Do people really use this or any other of the cheatsheets you find online? In my experience, any cheat sheet that I didn't make myself is useless to me. Going directly to the sheet without having done the synthesis of information yourself skips the most important part of the process.

I do. Mainly for things I don't really intend to memorize. It's just an easier reference than, say, a man page.

Pretty much anything is easier to reference than a man page :) I wish the standard for man, would be to include examples. But maybe I'm in the minority of people who learn by example.
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