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have i made any mistakes
hey uncle, looks good
how did you get these on pdf? very nicely done
a program called TeXShop
very nice, are you a professor?
i am stumped on a question, freaking book of mine , Prove that if there is an injection f : A -> A which is not surjective, then A is not a finite set. . . . . . . . . . .
im a only a student
is this a differential equations class >?
i never learned fourier series :(
yeah from DE class
uncle is there an exercise on proving trigonometric identities?
@perl the difference between fine and infinite set is that the infinite set is that the infinite set will be equivalent to some proper subset of itself. i.e. if there is injection f:A->A ... means the set is equivalent to some proper subset (due to surjective). Which means the set A is not finite.
@UnkleRhaukus do you have Mathematica ( i bet you have matlab)? Plot these infinite series, if these infinite series is equal to your function, then your work is right!!
i do not have Mathematica i do have Matlab i checked these on a program called Grapher, and they turned out right , but that dosen't mean i haven't made mistakes
if you have identical function ... except at the point of discontinuity then your work is correct!!