Krein’s Strings, the Symmetric Moment Problem, and Extending a Real Positive Definite Function URI KEICH California Institute of Technology Abstract The symmetric moment problem is to find a possibly unique, positive s

Source URL: www.maths.usyd.edu.au

• Mathematical analysis
• Mathematics
• Fourier analysis
• Digital signal processing
• Dirac delta function
• Measure theory
• Fourier transform
• Holomorphic functional calculus
• Differential forms on a Riemann surface

THEOREM OF THE DAY Jensen’s Inequality If f is a real convex function, x1, . . . , xn are values in the domain of f , and a1, . . . , an are positive real numbers summing to 1 then X  X 

Source URL: theoremoftheday.org

54th Mathematical Olympiad in Poland Problems of the first round, September – December[removed]Determine all pairs of positive integers x, y satisfying the equation (x + y)2 − 2(xy)2 = [removed]A real number a1 is give

Source URL: www.mimuw.edu.pl

• Proof theory
• Circle
• Quadrilateral
• Trigonometric functions
• Permutation pattern
• Prime-counting function
• Mathematics
• Geometry
• Mathematical fallacy

PROBLEM OF THE WEEK Solution of Problem No. 10(Spring 2014 Series) Problem: Let f be a positive and continuous function on the real line which satisfies f (x + 1) = f (x) for all numbers x. Prove

Source URL: www.math.purdue.edu

• Operator theory
• Spectral theory
• Integral calculus
• Separation of variables
• Mathematical analysis
• Ordinary differential equations
• Mathematics

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Source URL: www.cs.princeton.edu

• Electronic design
• Filter theory
• Analog circuits
• Linear filters
• Wilhelm Cauer
• Network synthesis filters
• Otto Brune
• Electronic filter
• Positive-real function
• Electronic engineering
• Electronics
• Electromagnetism

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Source URL: individual.utoronto.ca

• Metric geometry
• Calculus
• Continuous function
• Cauchy sequence
• Least-upper-bound property
• Arzelà–Ascoli theorem
• Positive polynomial
• Mathematical analysis
• Mathematics
• Real analysis