NOUN | an imaginary number | imaginary numbers | |
SYNO | complex number | complex quantity | imaginary | ... |
NOUN article.ind sg | pl
21 translations
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Usage Examples English
- Below a certain frequency (the cut-off frequency) the propagation constant becomes an imaginary number.
- Multiplication of two real numbers, two imaginary numbers or a real number by an imaginary number in the classical notation system was the same operation.
- Each element of this subspace can act as the imaginary number "i" in a complex subalgebra of the quaternions.
- Bombelli called the imaginary number "i" "plus of minus" and used "minus of minus" for -"i".
- Because the total energy of the particle must be real (and not a complex or imaginary number) in order to have any practical meaning as a measurement, the numerator must "also" be imaginary: i.e.
- In number theory, the Baker–Heegner–Stark theorem establishes the complete list of the quadratic imaginary number fields whose rings of integers are unique factorization domains.
- the rest mass m must be imaginary, as a pure imaginary number divided by another pure imaginary number is a real number.
- The set of all Gaussian rationals forms the Gaussian rational field, denoted Q("i"), obtained by adjoining the imaginary number "i" to the field of rationals.
- In physics, Wick rotation, named after Italian physicist Gian Carlo Wick, is a method of finding a solution to a mathematical problem in Minkowski space from a solution to a related problem in Euclidean space by means of a transformation that substitutes an imaginary-number variable for a real-number variable.
- Concretely, this is an endomorphism of the tangent bundle whose square is −"I"; this endomorphism is analogous to multiplication by the imaginary number "i", and is denoted "J" (to avoid confusion with the identity matrix "I").
- In complex numbers, the cube of a purely imaginary number is also purely imaginary. For example, [...].
- An imaginary number [...] can be added to a real number [...] to form a complex number of the form [...] , where the real numbers [...] and [...] are called, respectively, the "real part" and the "imaginary part" of the complex number.
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Contains translations by TU Chemnitz and Mr Honey's Business Dictionary (German-English only).
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