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Which of the following statements regarding Chebyshev polynomial is true?(a) The polynomial Tm(x) is symmetric for m = even(b) The polynomial Tm(x) is symmetric for m = odd(c) The polynomial Tm(x) is anti-symmetric for m = even(d) The polynomial Tm(x) is symmetric for m = even and oddThis question was posed to me during an interview for a job.This interesting question is from Adaptive Array in division Phased, Adaptive and Binomial Arrays of Antennas |
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Answer» RIGHT OPTION is (a) The POLYNOMIAL Tm(X) is symmetric for m = even The explanation is: The polynomial Tm(x) is symmetric for m=even and is anti-symmetric for m=odd. For m=even, at x=0 it is 1. For m=odd, at x=0 it is 0. |
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