Latest Revision 090927
... The succinct and mathematically correct answer to the student’s question presented in the prompt is that a 0 is defined to be 1 for specific values of a. The arguments presented in the foci establish why this definition makes sense mathematically and why defining a 0 in such a way allows us to be co ...
... The succinct and mathematically correct answer to the student’s question presented in the prompt is that a 0 is defined to be 1 for specific values of a. The arguments presented in the foci establish why this definition makes sense mathematically and why defining a 0 in such a way allows us to be co ...
Lecture 5: Universal One-Way Function and Computational Number
... See the paper “Primes is in P” for a proof of the above theorem. The following two theorems describe the asymptotic distribution of the prime numbers. Theorem 3 (Chebyshev) The number of primes between 1 and N is ω( logNN ). Theorem 4 (Prime Number Theorem) The number of primes between 1 and N appro ...
... See the paper “Primes is in P” for a proof of the above theorem. The following two theorems describe the asymptotic distribution of the prime numbers. Theorem 3 (Chebyshev) The number of primes between 1 and N is ω( logNN ). Theorem 4 (Prime Number Theorem) The number of primes between 1 and N appro ...
How to Think About Exponentials
... Imagine you didn’t know the series defining ex , and you were asked to define a function f (x) with the property that f (x + y) = f (x)f (y) for all number x and y. How would you go about constructing such a thing? One silly function satisfies this property is f (x) = 0, (which corresponds to 0x ), ...
... Imagine you didn’t know the series defining ex , and you were asked to define a function f (x) with the property that f (x + y) = f (x)f (y) for all number x and y. How would you go about constructing such a thing? One silly function satisfies this property is f (x) = 0, (which corresponds to 0x ), ...
