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k-consecutive heads

The process for finding the expected number of coin flips until k-consecutive heads result.

Euler-Maclaurin formula proof

Alternative Derivation of Euler-Maclaurin Formula

transcendental decomposition of the Euler function

Proving an identity involving the definite integral of the Euler function.

Highvoltagemath shares solutions to problems in pure mathematics, electrical engineering, physics, et cetera.  Here on highvoltagemath, we try hard to not leave out important details.  Our writers write to help others to gain a better understanding of how important formulas were derived and proved.  We also share mathematical problems we find fascinating, fun, and exciting.  We enjoy sharing our love for mathematics and the other topics covered on highvoltagemath.

        Highvoltagemath does not follow any curriculum and by no means is meant to replace official education.  Highvoltagemath posts topics often like a mathematics blog.  Thank you for supporting our business by being here!

"Mathematics, rightly viewed, possesses not only truth, but supreme beauty."

Bertrand Russel

“I do not think there is any thrill that can go through the human heart like that felt by the inventor as he sees some creation of the brain unfolding to success… such emotions make a man forget food, sleep, friends, love, everything.”

Nikola Tesla

"In mathematics, you can never 'find' something incorrectly, only relate it wrong."

NICO (Highvoltagemath)

"Bad explanations usually come from laziness or a lack of understanding."

Zander (Highvoltagemath)

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