Examples of using Complex numbers in English and their translations into Russian
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real, complex numbers, definitions and properties of a group,
The butterfly consists in adding two complex numbers and calculating their difference with the subsequent multiplication by another complex number. .
It takes a student a few years to notice that complex numbers, vector algebra,
Each butterfly consists in adding two complex numbers and calculating their difference with the subsequent multiplication by another complex number. .
Complex numbers as 2D vectors based on the unit of multipliers with a special multiplication operation, including conjugation.
He even included a calculation with these complex numbers in Ars Magna,
If the zeta-function is defined for all complex numbers where"s" does not equal 1, then we can.
Therefore, in linear algebra over the complex numbers, it is often assumed that a symmetric matrix refers to one which has real-valued entries.
Now, in our code we can declare variables representing complex numbers, and work with them.
the equations defining it have nontrivial solutions in complex numbers.
In the real and complex numbers, addition and multiplication can be interchanged by the exponential function:
For G semisimple over the complex numbers, being simply connected in this sense is equivalent to G(C)
Integral Calculus, Complex Numbers and Vector Algebra are included.
This chapter proposes to give a little intuition for complex numbers by following certain transformations of the complex line.
Over the complex numbers these are quotients of a product of two elliptic curves by a finite group of automorphisms.
The Klein quartic is the projective variety over the complex numbers C defined by the quartic polynomial x3y+ y3z+ z3x 0.
since for three cube roots of 1 complex numbers are required.
In contrast, over the complex numbers the origin is not isolated since square roots of negative real numbers exist.
But it would be more convenient to use usual operators"+","-","*" and"/" for ordinary arithmetic operations with complex numbers.
the real numbers R{\displaystyle\mathbb{R}}, the rational numbers Q{\displaystyle\mathbb{Q}} or the complex numbers C{\displaystyle\mathbb{C.