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The proposition that the general polynomial with real coefficients has a root of the form a + b√(−1) became known later as the fundamental theorem of algebra.
P, Q have real coefficients.
where is for and zero elsewhere., and are real coefficients.
where and are polynomial of degree with real coefficients.
This extends the result for difference equations with real coefficients.
Clearly, is a polynomial in with real coefficients since and are all real.
S denotes the set of all stable, proper, and rational transfer functions with real coefficients.
On utilizing Young's inequality (1.3) for power series with real coefficients, we establish the following result.
Let (1.2). denote the set of all algebraic polynomials of degree at most with real coefficients.
All real coefficients were quantized to a word size of B c.
Every cubic equation with real coefficients has at least one solution ( omega ) among the real numbers.
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