COLORING THE RATIONALS IN REVERSE MATHEMATICS EMANUELE FRITTAION AND LUDOVIC PATEY Abstract. Ramsey’s theorem for pairs asserts that every 2-coloring of the pairs of integers has an infinite monochromatic subset. In th

Source URL: ludovicpatey.com

• Mathematics
• Mathematical analysis
• Logic in computer science
• Differential forms
• Combinatory logic
• Lambda calculus
• Peano axioms
• Closed and exact differential forms
• Differential forms on a Riemann surface
• Banach fixed-point theorem

3rd MATHEMATICAL CONTEST of Friendship in Honor and Memory OF GRAND DUCHY OF LITHUANIA 1. Integers a, b and c satisfy the condition ab + bc + ca = 1. Is it true that the

Source URL: mif.vu.lt

PROBLEM SET 12: RANDOM EXERCISES Exercise 1. ** Show that there are no positive integers x and y such that y 2 = x2 + x + 1. Exercise 2. ** Let x and y be integers. Show that 17 | (2x+3y) if and only if 17 | (9x+5y). Ex

Source URL: www.math.lsa.umich.edu

CSc 220: Algorithms Homework 11 Solutions Problem 1: In class we saw that multiplying two n-bit numbers can be done in O(n2 ). What about long division? Show an algorithm that on input integers a, b where a is n-bit long

Source URL: www-cs.ccny.cuny.edu

THEOREM OF THE DAY Faulhaber’s Formula The sum of the r-th powers of the first n positive integers is given by ! r X 1

Source URL: www.theoremoftheday.org

IMPROVEMENTS ON THE COMPUTATION OF THE HNF OF A MODULE OVER THE RING OF INTEGERS OF A NUMBER FIELD JEAN-FRANC ¸ OIS BIASSE, CLAUS FIEKER, AND TOMMY HOFMANN

Source URL: jncf2013.imag.fr

MATH 289 PROBLEM SET 1: INDUCTION 1. The induction Principle The following property of the natural numbers is intuitively clear: Axiom 1. Every nonempty subset of the set of nonnegative integers Z≥0 = {0, 1, 2, 3, . .

Source URL: www.math.lsa.umich.edu

Source URL: www.littlebrown.com

• 7
• Integers
• Luck
• Numerology
• Mathematics

THEOREM OF THE DAY The Lutz-Nagell Theorem For the elliptic curve y2 = x3 + ax2 + bx + c, with a, b, and c integers and having (non-zero) discriminant function D = −4a3c + a2b2 + 18abc − 4b3 − 27c2, let P = (X, Y)

Source URL: www.theoremoftheday.org