Examples of using Complex numbers in English and their translations into Vietnamese
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This means that a Banach space is a vector space V over the real or complex numbers with a norm||.|| such that every Cauchy sequence(with respect to the metric d(x, y)=||x- y||) in V has a limit in V.
mathematics in his own time including trigonometry, differential and integral calculus, and complex numbers long before he met these topics in his formal education.
the Z-transform converts a discrete-time signal, which is a sequence of real or complex numbers, into a complex frequency domain representation.
where the real part of these complex numbers is equal to a halfie.
the Z-transform converts a discrete time-domain signal, which is a sequence of real or complex numbers, into a complex frequency-domain representation.
to imaginary, complex numbers, which are points on a plane,
Decimal can be compared within and across their types, with the restriction that complex numbers do not support order comparison.
Cardano wrote a formal expression for complex numbers, he could add and multiply them, but he could not give them any practical
statistics, complex numbers, base-n logic, unit conversions,
The Ax- Grothendieck theorem for complex numbers can therefore be proven by showing that a counterexample over C would translate into a counterexample in some algebraic extension of a finite field.
a complex type representing complex numbers.
The fundamental theorem of algebra tells us that if we have a non-zero polynomial with integer coefficients then that polynomial will have a root in the complex numbers.
a substructure of the real numbers, and the real numbers form a substructure of the complex numbers.
Indeed, almost all real and complex numbers are transcendental, since the algebraic numbers compose a countable set, while the set of real numbers and the set of complex numbers are both uncountable sets, and therefore larger than any countable set.
Complex numbers can be geometrically represented as points in the plane,
Therefore, P(A to B) consists of 16 complex numbers, or probability amplitude arrows.[1]: 120-121 There are also some minor changes to
understanding abstract concepts like differential equations, order theory, complex numbers or game theory, then the Mathematics
the rational numbers Q, the real numbers R, or the complex numbers C), the additive identity is 0.
The wave functions in the Dirac theory are vectors of four complex numbers(known as bispinors), two of which resemble the Pauli wavefunction in the non-relativistic limit,
The 2D similarity transformations can then be expressed in terms of complex arithmetic and are given by f(z)= az+ b(direct similitudes) and f(z)= az+ b(opposite similitudes), where a and b are complex numbers, a≠ 0.