# Complex Number In Sentences - Examples Of Complex Number In Sentences

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Mar 29, 2024

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- Every nonzero complex number has a multiplicative inverse.
- A complex number is called computable if its real and imaginary parts are computable.
- The eigenvalues of unitary matrices are pure phases, so that the value of a unitary conserved quantity is a complex number of unit magnitude, not a real number.
- The impedance is, in general, a complex number.
- This includes polynomials with real coefficients, since every real number is a complex number with its imaginary part equal to zero.
- This is analogous to the fact that the exponential of a complex number is always nonzero.
- The magnitude of the complex number represents the amplitude and the argument represents the phase.
- Measurement is then a probabilistic projection of the points at the surface of this complex number sphere onto the basis vectors that span the space .
- Exponentiating a real number to a complex power is formally a different operation from that for the corresponding complex number.
- The most important Clifford algebras are those over real number and complex number vector spaces equipped with nondegenerate quadratic forms.
- The example of a complex number is different.
- The outcome of a test is called positive if it produces a complex number with a large magnitude, which, given the assumption that the significant entries are sparse, indicates that at least one significant entry is contained in the test.
- But the split of a complex number into real and imaginary components is unique, and the sum of two imaginary numbers is imaginary unless it is zero.
- Is there any meaning attached to calling this complex number positive or negative and is there such a thing as a prime complex number?
- The rules of arithmetic do indeed imply that, if you add zero times a complex number to another complex number, the result is the second complex number.
- Exponentiation is defined differently for a real to a complex power from a complex number to a complex power, it is not a ring operation.
- Every other complex number has two distinct square roots, so above every other point apart from 0 the upper sheet has two separate layers.
- One way to think of complex number is as matrices of a certain form.
- The measured velocity is compared with the full expression by applying some properties of complex number.
- It is only if you consider the real number to be a complex number that it may have other values.
- What do you feel about using atan2 the way it is in the complex number article?
- But then again, there is always the small chance that the answer is supposed to be a complex number.
- Is Riemann Surface far too advance for someone who understand basic Complex Number System to understand?
- Complex number integration is normally much simpler thankfully.
- it can be parameterised by one complex number or, equivalently, by two real numbers.
- But I think x should be treated as a complex number.
- Given a final set of complex numbers; if each complex number defines one dimension of a topological space is this space a metric space?
- So multiplying any number by a complex number whose norm is 1 is the same as dividing by its conjugate.
- Complex number addition is just equivalent to vector addition.
- Ok, this requires the exponent to be the complex number 0.
- Feynman asks how one divides by a complex number.
- The complex number can be used to denote 2D mapping coordinates.
- Since the complex numbers embed in the quaternions, you can get the real part of a complex number this way, but it might be considered cheating.
- And is it part of the complex number system?
- So that the polygon can be described by a single complex number, one vertex is fixed at 0.
- Essentially it is just a complex number field, or matrix field of some sort, and it consists of spatial dimensions, and an imaginary time dimension.
- Sine can also take a complex number as an argument.
- A complex power of a complex number can have many possible values.
- He called its elements motors, a term in parallel with the rotor action of an ordinary complex number taken from the circle group.
- For complex number, there is no difference between such a function and a finite Fourier series.
- Complex number multiplication is just treating one complex number as a vector and using the other complex number as a procedure to perform scaling and follow by an angle rotation.
- if the two variables are normalized so they have zero mean and equal standard deviation then the standard deviation of the pair is the square root of the sum of squares like a complex number norm.

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