21 Übersetzungen
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Anwendungsbeispiele Englisch
- and the term "imaginary" for the imaginary unit.
- Heron of Alexandria is noted for deriving this formula, and with it, encountering the imaginary unit: the square root of negative one.
- the imaginary unit.
- The I and Q signals can be combined into a complex-valued signal "I"+"jQ" (where "j" is the imaginary unit).
- to denote the imaginary unit. The use of the Greek letter "π" to denote the ratio of a circle's circumference to its diameter was also popularized by Euler, although it originated with Welsh mathematician William Jones.
- So, if a real anti-symmetric matrix is multiplied by a real multiple of the imaginary unit [...] then it becomes Hermitian.
- Here, "i" is the imaginary unit and is identified with the point with coordinates [...] , so it is "not" the unit vector in the direction of the "x"-axis.
- The imaginary unit or unit imaginary number (...) is a solution to the quadratic equation [...].
- This is the same as the heat equation except for the presence of the imaginary unit [...]. Fourier methods can be used to solve this equation.
- (where [...] denotes the usual imaginary unit) and hence from the multiplicative property of determinants of square matrices.
- Every complex skew-Hermitian form can be written as the imaginary unit [...] times a Hermitian form.
- This means that the state at a slightly later time differs from the state at the current time by the result of acting with the Hamiltonian operator (multiplied by the negative imaginary unit, [...]).
- This implies that the complex numbers cannot be ordered since the square of the imaginary unit "i" is [...] (which is negative in any ordered field).
- The imaginary unit square root of -1 was represented by [...] , which was treated as a fixed complex constant = "i".
- which defines multiplication by the imaginary unit [...].
- The lack of real square roots for the negative numbers can be used to expand the real number system to the complex numbers, by postulating the imaginary unit [...] , which is one of the square roots of −1.
- The combination [...] is sometimes denoted [...] , and should not be confused with [...] , or [...] which appears in the DFT definition (where "i" is the imaginary unit).
- Note that the physical E field is the real part of this vector; the complex multiplier serves up the phase information. Here [...] is the imaginary unit with [...].
- Where [...] is the s-plane variable, [...] is angular frequency and [...] is the imaginary unit.
© dict.cc English-German dictionary 2026
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