Примери за използване на Real coefficients на Английски и техните преводи на Български
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Quadratic equations with real coefficients.
Find all polynomials with real coefficients such that their graphs do not contain any mixed point.
Let be a polynomial with real coefficients.
Find all polynomials with real coefficients that if for a real, is integer then is integer.
The characteristic polynomial with real coefficients.
Both multiples above have real coefficients, since they use complex conjugates.
Let be a polynomial of degree with real coefficients.
Find all polynomials with real coefficients such that for all reals such that we have the following relations S 3.
Let be a polynomial in the complex variable, with real coefficients.
Find the polynomial with real coefficients such that and for each.
Let be a polynomial of degree with only real zeros and real coefficients.
Find the polynomial with real coefficients such that and for each.
Soon after he went to Zürich he was asked a question by Aurel Stodola, one of his colleagues,concerning when an nth-degree polynomial with real coefficients.
S 2 Let a polynomial be given with real coefficients and has degree greater or equal than 1.
S1 and s2 are complex conjugates, which means s1 s2 and s1+ s2 are real numbers andthe Z transform transfer function above has only real coefficients.
Find three different polynomials with real coefficients such that for all real. .
Since r1 and r3 are complex conjugates, s1 and s3 are complex conjugates, and s2 is a real number,we can rewrite the transfer function above as a function with real coefficients in the following way.
Be non-zero polynomials with real coefficients such that for some real number.
In 1893 the Swedish actuary andmathematics historian Gustaf Eneström published a theorem on the complex roots of certain polynomials with real coefficients in a paper on pension insurance(in Swedish).
Find all polynomyals with real coefficients which satisfy the following equality for all real numbers: 6.
Prove that for two non-zero polynomials with real coefficients the system.
Two polynomials and with real coefficients are called similar if there exist nonzero real number a such that for all.
As an application some polynomials of real variable with real coefficients are considered.
Show that there exists a polynomial of degree 1999 with real coefficients which satisfies the condition: and are similar.
In 1798, there appeared in the Philosophical Transactions of the Royal Society a paper by James Wood, purporting to prove the fundamental theorem of algebra,to the effect that every non-constant polynomial with real coefficients has at least one real or complex zero.
Prove that any monic polynomial(a polynomial with leading coefficient 1) of degree with real coefficients is the average of two monic polynomials of degree with real roots.
According to the complex conjugate root theorem,if a complex number is a root to a polynomial in one variable with real coefficients(such as the quadratic equation or the cubic equation), so is its conjugate.
Please find all real coefficient polynomials so that.
Returns the real coefficient of a complex number in x+ yi or x+ yj text format.
Let real coefficient polynomial has real roots, prove that, we have S 2.