Examples of using Complex numbers in English and their translations into Vietnamese
{-}
-
Colloquial
-
Ecclesiastic
-
Computer
Product of two complex numbers.
For complex numbers with a positive real part, it is defined via a convergent improper integral.
Functions working on complex numbers.
Handling complex numbers such as√- 2.
Perform operations on complex numbers.
Vectors, Matrices, Complex Numbers and their Application in Geometry and Systems Theory; Statistics and Probability; and Analysis.
The number i, the imaginary unit of the complex numbers.
He also defined the exponential function for complex numbers, and discovered its relation to the trigonometric functions.
The example in cell B3uses the Excel Complex Function to create the complex numbers 5+2i and i.
A series of real or complex numbers is said to be conditionally convergent(or semi-convergent) if it is convergent but not absolutely convergent.
All functions that accept two or more complex numbers require that all suffixes match.
Their Complex Number Computer, completed January 8, 1940, was able to calculate complex numbers.
For example, an equilateral triangle can be expressed by the complex numbers 0, 1,(1+ i√3)/2 representing its vertices.
The following spreadsheets show the Excel Complex function,used to create different complex numbers.
Riemann's insight was that the zetafunction could also be extended to complex numbers, which are a combination of imaginary and real numbers. .
The unit square can also be thought of as a subset of the complex plane,the topological space formed by the complex numbers.
The rational numbers Q, the real numbers R and the complex numbers C, like any other field, can be regarded as σ-structures in an obvious way.
These same techniques can also be used tocombine elements with reactance with elements with resistance but complex numbers are typically needed.
In particular, if k= ℂ, the complex numbers, then the complex projective line P1(ℂ) is one-dimensional with respect to ℂ, even though it is also known as the Riemann sphere.
In applications, they are typically sequences of complex numbers or functions.
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.
Basically, the z-transform converts a discrete-time signal,made up of a sequence of real or complex numbers into a frequency domain representation.
Cardano wrote a formal expression for complex numbers, he could add and multiply them, but he could not give them any practical or geometrical sense,” says Artur Ekert of the University of Oxford.
The fundamental theorem of algebra tells us that if we have a non-zero polynomial with integer coefficientsthen that polynomial will have a root in the complex numbers.
Click the Settings button if youwant to switch between solving real numbers and complex numbers, or if you want to set the angle measurement of graphs to degrees, radians, or gradians.
When regarded as σ-structures in the natural way, the rational numbers form a substructure of the real numbers, and the real numbers form a substructure of the complex numbers.
He studied a lot of mathematics in his own time including trigonometry,differential and integral calculus, and complex numbers long before he met these topics in his formal education.
Several new data types, including long long int(to reduce the pain of the looming 32-bit to 64-bit transition), an explicit boolean data type,and a complex type representing complex numbers.
DreamCalc offers a full range of scientific functions, statistics, complex numbers, base-n logic, unit conversions, numerical calculus and built-in constants and a powerful polynomial solver.
In mathematics and signal processing, the Z-transform converts a discrete time-domain signal,which is a sequence of real or complex numbers, into a complex frequency-domain representation.