Examples of using Real or complex in English and their translations into Serbian
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Series of real or complex numbers.
In particular, this unique function exists when R is the field of real or complex numbers.
Let's work with real or complex numbers.
The terms in these factors, which are the roots of the polynomial,may be real or complex.
For an arbitrary real or complex number α(the order of the Bessel function).
Non-singular algebraic varieties over the real or complex numbers are manifolds.
Every non-zero number x, real or complex, has n different complex number nth roots including any positiveor negative roots.
The most elementary type of sequences are numerical ones, that is,sequences of real or complex numbers.
An algebraic number is any real or complex number that is a solution of a polynomial equation of the form.
Algebraic varieties andschemes Non-singular algebraic varieties over the real or complex numbers are manifolds.
A quadratic equation with real or complex coefficients has two solutions, called roots.
While the roots of 0 are not distinct(all equaling 0),the n nth roots of any other real or complex number are all distinct.
An algebraic number is a real or complex number that is the root of a polynomial with rational coefficients.
An nth root of a number x, where n is a positive integer,is any of the n real or complex numbers r whose nth power is x.
Every non-zero number x, real or complex, has n different complex number nth roots.
A is linear if it is a linear functional on the sequences where it is defined, so that A(k r+ s)= k A(r)+ A(s) for sequences r,s and a real or complex scalar k.
While the most common case is that of matrices over the real or complex numbers, all these definitions can be given for matrices over any ring.
With state vector x and transition matrix A, x converges asymptotically to the steady state vector x* if andonly if all eigenvalues of the transition matrix A(whether real or complex) have an absolute value which is less than 1.
The argument of the function can be any real or complex number or even an entirely different kind of mathematical object.
The recurrence is stable, meaning that the iterates converge asymptotically to a fixed value, if and only if the eigenvalues(i.e.,the roots of the characteristic equation), whether real or complex, are all less than unity in absolute value.
In general, the variable x can be any real or complex number, or even an entirely different kind of mathematical object.
In the first-order matrix difference equation= A{\displaystyle=A} with state vector x and transition matrix A, x converges asymptotically to the steady state vector x* if andonly if all eigenvalues of the transition matrix A(whether real or complex) have an absolute value which is less than 1.
In general, the variable x can be any real or complex number, or even an entirely different kind of mathematical object; see the formal definition below.
The quadratic formula is valid for all polynomials with coefficients in any field(in particular, the real or complex numbers) except those that have characteristic two.[11].
A Hilbert space H is a real or complex inner product space that is also a complete metric space with respect to the distance function induced by the inner product.
If A is a linear operator represented by a square matrix with real or complex entries and if λ1,…, λn are the eigenvalues of A(listed according to their algebraic multiplicities), then.
Every non-zero number x, real or complex, has n different complex number nth roots including any positiveor negative roots, see complex roots below.
The argument of the exponential function can be any real or complex number or even an entirely different kind of mathematical object(for example, a matrix).
If a number is one cube root of any real or complex number, the other two cube roots can be found by multiplying that number by one or the other of the two complex cube roots of one.
That is the analysis of the properties of various real or complex functions defined by power series, definite integrals or solutions of differential equations.