3. Working with Strings
... Example: safer passwords • Write a function that makes your password safer as follows: – Covert a/A @ – Convert s/S $ – Convert o/O 0 – Convert g/G 8 – Convert i/I ! ...
... Example: safer passwords • Write a function that makes your password safer as follows: – Covert a/A @ – Convert s/S $ – Convert o/O 0 – Convert g/G 8 – Convert i/I ! ...
Real Numbers - Abstractmath.org
... I will not give a mathematical definition of “real number”. There are several equivalent definitions of real number all of which are quite complicated. Mathematicians rarely think about real numbers in terms of these definitions; what they have in mind when they work with them are their familiar alg ...
... I will not give a mathematical definition of “real number”. There are several equivalent definitions of real number all of which are quite complicated. Mathematicians rarely think about real numbers in terms of these definitions; what they have in mind when they work with them are their familiar alg ...
Double sequences of interval numbers defined by Orlicz functions
... |{k ∈ Ii : d (xk , L) ≥ ε }| = 0, i→∞ λi where Ii = [i − λi + 1, i]. Recall (see [10]) that an Orlicz function M is a continuous, convex, nondecreasing function, defined for u ≥ 0, such that M (0) = 0 and M (u) > 0 if u > 0. An Orlicz function M is said to satisfy ∆2 -condition for all values of u i ...
... |{k ∈ Ii : d (xk , L) ≥ ε }| = 0, i→∞ λi where Ii = [i − λi + 1, i]. Recall (see [10]) that an Orlicz function M is a continuous, convex, nondecreasing function, defined for u ≥ 0, such that M (0) = 0 and M (u) > 0 if u > 0. An Orlicz function M is said to satisfy ∆2 -condition for all values of u i ...
Full text
... A Wiefrich prime is any prime p that satisfies 2p−1 ≡ 1 (mod p2 ). Presently, 1093 and 3511 are the only known such primes. Similarly defined is a Wall-Sun-Sun prime, which is any prime p such that Fp−(5/p) ≡ 0 (mod p2 ), where (5/p) is the Legendre symbol. There are no known Wall-Sun-Sun primes. Mo ...
... A Wiefrich prime is any prime p that satisfies 2p−1 ≡ 1 (mod p2 ). Presently, 1093 and 3511 are the only known such primes. Similarly defined is a Wall-Sun-Sun prime, which is any prime p such that Fp−(5/p) ≡ 0 (mod p2 ), where (5/p) is the Legendre symbol. There are no known Wall-Sun-Sun primes. Mo ...
study guide - Austin Community College
... Understand that each variable is a "freedom", while each useful equation is a "restriction". If there are fewer "restrictions" than "freedoms", the system will have infinitely many solutions. ...
... Understand that each variable is a "freedom", while each useful equation is a "restriction". If there are fewer "restrictions" than "freedoms", the system will have infinitely many solutions. ...
5.1 Polynomial Functions
... f (x) = x3 shown below. Graphs of other quadratic and cubic polynomial functions are just shifts and stretches and reflections of these two parent functions. ...
... f (x) = x3 shown below. Graphs of other quadratic and cubic polynomial functions are just shifts and stretches and reflections of these two parent functions. ...
Lecture 10: Prime numbers
... in 1742 by Christian Goldbach, and has now been verified for numbers up to 4 × 1018 . A recent paper (May 2013) by Harald Helfgott has shown that every odd number greater than 5 is the sum of at most three primes: http://www.truthiscool.com/ prime-numbers-the-271-year-old-puzzle-resolved. 2. The twi ...
... in 1742 by Christian Goldbach, and has now been verified for numbers up to 4 × 1018 . A recent paper (May 2013) by Harald Helfgott has shown that every odd number greater than 5 is the sum of at most three primes: http://www.truthiscool.com/ prime-numbers-the-271-year-old-puzzle-resolved. 2. The twi ...
Random walks, diffusion and movement
... http://www-groups.dcs.st-and.ac.uk/~history/Biographies/Haar.html). By about the 1980s, mathematician Yves Meyer was interested in the problem, as were geophysicist Jean Morlet (who was trying to model seismic phenomena – an archetypal home of “sudden shock” behaviour). Indeed Meyer constructed a wa ...
... http://www-groups.dcs.st-and.ac.uk/~history/Biographies/Haar.html). By about the 1980s, mathematician Yves Meyer was interested in the problem, as were geophysicist Jean Morlet (who was trying to model seismic phenomena – an archetypal home of “sudden shock” behaviour). Indeed Meyer constructed a wa ...
NATURAL BOUNDARIES OF DIRICHLET SERIES Gautami
... It is very difficult to say much about the meromorphic continuation of Euler products of Dirichlet series beyond the region of convergence. The only general method to show the existence of a natural boundary is to prove that every point of the presumed boundary is the limit point of either poles of ...
... It is very difficult to say much about the meromorphic continuation of Euler products of Dirichlet series beyond the region of convergence. The only general method to show the existence of a natural boundary is to prove that every point of the presumed boundary is the limit point of either poles of ...
an interpretation of aristotle`s syllogistic and a certain fragment of set
... formulas (propositions) on a strictly defined form (comp. textbooks and also [2]). But in the system presented by Lukasiewicz all formula are considered which can be formed by means of categorical formulas and classical connectives (see below the definition of the set of syllogistic formulas AS and ...
... formulas (propositions) on a strictly defined form (comp. textbooks and also [2]). But in the system presented by Lukasiewicz all formula are considered which can be formed by means of categorical formulas and classical connectives (see below the definition of the set of syllogistic formulas AS and ...
