How do I know what all the math symbols mean? How do I know the difference between my := and =, and my = and the one with 3 bars instead of 2, and my ~ with the ones that have two squiggly lines?
or how about the ones that are user defined?
|dw:1317931500135:dw| i believe descartes used this one for "equals"
user defined? I thought those were all standardized by the international union of laboring mathematicians, like all those chemistry IUPAC stuff, or Systeme internationale, or medicine
nope, there are tons of notations that only have meaning as applied by the person using it.
Dy, y', dy/dx, etc ....
union of laboring mathematicians ??? lol
the important thing is that in order to communicate the information between 2 or more peoples; there has to be an agreement on what the symbls represent
so that's why the lambda symbol has like 10 different meanings? but what about things that have a universal meaning like, e, i, or pi?
those are not universal either; they are just more widespread than others
show our pi to a martian and see if it recognizes it :)
i wonder if theres an arabic version of pi?? maybe
I thought all those things I learned about geometry in high school, like CPCTC and SAS, and the way things were proved, was the way modern, professional mathematicians did it...
wouldnt that be nice.
so I can let $ be the integration operator, ! be the differentiation operator, and then have my tests look like I'm swearing at the professor?
You can if that is what you and your professor agree on as the operators.
:-( and my professor writes \[\lim\]in a very different way
Math is akin to any other language, the written is spose to be a way of communicating the concepts and ideals.
And communication is only as good as those who can agree on definitions
what if people ask me to write a polynomial in 'standard form'?
then you find the best way to define what a "standard form" is :) is it vertex form or exapanded form?
I don't know. Wikipedia says the standard form is \[Ax+By = C\]and other sources may say the standard form of a polynomial is \[Ax+By+C\]
and still others say its standard form to write it: y = mx+b
Ax+By -C = 0, might be a better standard form
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