20th Nordic Mathematical Contest Thursday March 30, 2006 English version Time allowed: 4 hours. Each problem is worth 5 points. Problem 1. Let B and C be points on two fixed rays emanating from a point A such that AB + A

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The 29th Nordic Mathematical Contest Tuesday, March 24, 2015 Solutions Problem 1. Let ABC be a triangle and Γ the circle with diameter AB. The bisectors of ∠BAC and

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BULLETIN (New Series) OF THE AMERICAN MATHEMATICAL SOCIETY Volume 6, Number 1, January 1982 THE WORD PROBLEM AND THE ISOMORPHISM PROBLEM FOR GROUPS

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The 27th Nordic Mathematical Contest M˚ andagen, den 8 april 2013 Varje problem ¨ar v¨art 5 po¨ ang.

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The 27th Nordic Mathematical Contest Monday, 8 April 2013 English Version The time allowed is 4 hours. Each problem is worth 5 points. The only permitted aids are writing and drawing tools. Problem 1. Let (an )n≥1 be a

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Time series models 2007 Norwegian University of Science and Technology Department of Mathematical Sciences Solutions to problem sheet 1, 2007

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Solutions to the 2004 Nordic Mathematical Contest Problem 1 Let r be the number of balls in the red bowl, b be the number of balls in the blue bowl and y be the number of balls in the yellow bowl. Because the mean of the

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Hadamard variational formula for the Green function of the boundary value problem on the Stokes equations. Erika USHIKOSHI Mathematical Institute Tohoku University Sendai, Japan

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The 23rd Nordic Mathematical Contest Thursday April 2, 2009 English version with solutions Time allowed is 4 hours. Each problem is worth 5 points. The only permitted aids are writing and drawing tools. Problem 1

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Solutions to Problem Set 4/Problem 5 PhysicsFall 1999 Professor Klaus Schulten / Prepared by Guochun Shi Problem 5: Algebraic Solutions for Stationary States of Morse Potential [L. Infeld and T. E. Hull, The Facto

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• Ordinary differential equations
• Integration by substitution
• Differential of a function
• Integration by parts
• Differential equations
• Heat equation
• Sturm–Liouville theory
• Calculus
• Mathematical analysis
• Integral calculus