These entities can be evaluated at a certain point when their function is absolutely integrable, bounded, and has a finite number of extrema and discontinuities.
An important conjecture about these things posited by Lusin was proven by Lennart Carlson. A constant named partly for Wilbraham gives the degree to which these things overshoot at a jump discontinuity. In spinal MR imaging, inaccuracies in these entities can simulate the appearance of syringomyelia (sir-IN-go-my-EEL-ee-uh); this inaccuracy can be reduced by adding Lanczos sigma factors and is a "ringing" known as the (*) Gibbs phenomenon. These entities can be evaluated at a certain point when their function is absolutely integrable, bounded, and has a finite number of extrema and discontinuities. Their coefficients can be found by finding the inner product of a function and an element of an orthonormal basis; this method depends on the orthogonality of trigonometric functions. For 10 points, name this summation of a function as a series of sine and cosine waves.
An important conjecture about these things posited by Lusin was proven by Lennart Carlson.
Fourier series