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^ (nx/ )}{\sin^ (x/ )} dx$$ since there is a singular point at $x= $, i cannot argue the behavior near the origin. any help is appreciated. real-analysis calculus integration definite-integrals riemann-integration share | cite | improve this question edited hours ago harry peter gold badge silver badges

bronze badges asked nov ' at : scienceage scienceage silver badge bronze badges $\endgroup$ $egingroup$ see also: fejér kernel ....

https://math.stackexchange.com/questions/3456732/how-to-see-this-integral-is-bounded-for-every-positive-integer-n

each piece. so $$\lim_{(x,y) o ( ,- )} rac{\partial f}{\partial x}= e f_x( ,- )= $$ hence $f_x$ is discontinuous at $( )$ but my book given it as continuous. algebra-precalculus multivariable-calculus derivatives share | cite | improve this question asked hours ago umesh shankar umesh shankar gold badges

silver badges bronze badges $\endgroup$ add a comment | answer active oldest votes $egingroup$ what happens if x = y?...

https://math.stackexchange.com/questions/3494640/is-partial-derivatives-continuous

abstract-algebra ring-theory solution-verification group-homomorphism share | cite | improve this question edited hours ago kreiser . k gold badges silver badges bronze badges asked hours ago marcos g neil marcos g neil silver badge bronze badges $\endgroup$ $egingroup$ you should add the tag proof-verification

votes $egingroup$ your solution is right. in fact, those rings are isomorphic as additive groups. they are different exactly when it comes to the monoid structure of multiplication, and your proof is correct. share | cite | improve this answer answered hours ago lucas henrique lucas henrique silver badges...

https://math.stackexchange.com/questions/3494665/ring-homomorphism-between-two-rings

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reference-request proof-techniques model-checking research share | cite | improve this question edited days ago lance pollard asked days ago lance pollard lance pollard silver badges bronze badges $\endgroup$ $egingroup$ realistically, for two complex programs you won't be able to prove they are equivalent

the equivalence. the abstraction is a very clean specification what was taken into account in our tests and what was omitted. two model-based testing tools which can be recommended: microsoft spec explorer, conformiq designer share | cite | improve this answer answered hours ago goofy goofy bronze badges...

https://cs.stackexchange.com/questions/118835/what-goes-into-proving-two-complicated-programs-are-equivalent

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