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Longer titles found: Split-complex number (view), Multicomplex number (view)

searching for Complex number 88 found (832 total)

alternate case: complex number

Leimarel Sidabi (1,168 words) [view diff] exact match in snippet view article find links to article

every living being in the universe.: 48 : 200  Presently, the market complex number 1 is named after her at the Ima Keithel (Mothers' market), the world's
Square (8,483 words) [view diff] exact match in snippet view article find links to article
other complex number c {\displaystyle c} is center, using the fact that the translation from the origin to c {\displaystyle c} is represented in complex number
Compatibility of C and C++ (3,140 words) [view diff] exact match in snippet view article find links to article
conflicted with C++ features, such as variable-length arrays, native complex number types and the restrict type qualifier. On the other hand, C99 reduced
Weak operator topology (1,634 words) [view diff] exact match in snippet view article find links to article
that the functional sending an operator T {\displaystyle T} to the complex number ⟨ T x , y ⟩ {\displaystyle \langle Tx,y\rangle } is continuous for any
Ch (computer programming) (1,197 words) [view diff] exact match in snippet view article
features, but it does not support the full set of C++ features. C99 complex number, IEEE-754 floating-point arithmetic, and variable-length array features
Wick rotation (1,489 words) [view diff] exact match in snippet view article find links to article
when we represent complex numbers as a plane, the multiplication of a complex number by the imaginary unit is equivalent to counter-clockwise rotating the
Totally imaginary number field (79 words) [view diff] no match in snippet view article find links to article
In algebraic number theory, a number field is called totally imaginary (or totally complex) if it cannot be embedded in the real numbers. Specific examples
Lock-in amplifier (2,253 words) [view diff] exact match in snippet view article find links to article
amplitude and phase, or further processed as real and imaginary part of a complex number (e.g. for complex FFT analysis). The operation of a lock-in amplifier
Imoinu (1,386 words) [view diff] case mismatch in snippet view article find links to article
Complex Number 2 of the market. It is preceded by Leimarel Sidabi Ima Keithel (Complex Number 1) and followed by Phouoibi Ima Keithel (Complex Number
Spectral theory of ordinary differential equations (9,374 words) [view diff] exact match in snippet view article find links to article
b], the existence theorem implies that for c = a or c = b and every complex number λ there a unique C2 eigenfunction fλ on [a, b] with fλ(c) and f′λ(c)
Multivariate gamma function (958 words) [view diff] exact match in snippet view article find links to article
_{j=1}^{p}\Gamma (a+(1-j)/2).} In both definitions, a {\displaystyle a} is a complex number whose real part satisfies ℜ ( a ) > ( p − 1 ) / 2 {\displaystyle \Re
Bessel potential (926 words) [view diff] exact match in snippet view article find links to article
Riesz potential but with better decay properties at infinity. If s is a complex number with positive real part then the Bessel potential of order s is the
Scalar multiplication (1,208 words) [view diff] exact match in snippet view article find links to article
the same commutative field, for example, the real number field or the complex number field, these two multiplications are the same, and can be simply called
Symplectic geometry (1,317 words) [view diff] exact match in snippet view article find links to article
embarrassing through collision with the word "complex" in the connotation of complex number. I therefore propose to replace it by the corresponding Greek adjective
Economic history of China (1949–present) (9,566 words) [view diff] exact match in snippet view article
socialist economy to a mixed economy. This transformation required a complex number of reforms in China's fiscal, financial, enterprise, governance and
FastCode (1,790 words) [view diff] case mismatch in snippet view article find links to article
destination) Polar Complex Number Addition Polar Complex Number Subtraction Polar Complex Number Multiplication Polar Complex Number Division Polar To
C mathematical functions (1,101 words) [view diff] exact match in snippet view article find links to article
argument of a complex number (C99) cimag computes imaginary part of a complex number (C99) creal computes real part of a complex number (C99) conj computes
Lester R. Ford (516 words) [view diff] case mismatch in snippet view article find links to article
awarded his Ph.D. for the thesis Rational Approximations to an Irrational Complex Number, under the supervision of Maxime Bôcher. Later Ford joined the faculty
Science (15,547 words) [view diff] exact match in snippet view article find links to article
phenomena without relying on the supernatural. The Pythagoreans developed a complex number philosophy: 467–468  and contributed significantly to the development
CPT symmetry (1,308 words) [view diff] exact match in snippet view article find links to article
arXiv:hep-th/0010074. – 8-component theory for fermions in which T-parity can be a complex number with unit radius. The CPT invariance is not a theorem but a better to
Theta constant (306 words) [view diff] exact match in snippet view article find links to article
z) with rational characteristic m to z = 0. The variable τ may be a complex number in the upper half-plane in which case the theta constants are modular
Admittance (906 words) [view diff] exact match in snippet view article find links to article
{1}{R^{2}+X^{2}}}\right)\left(R-jX\right)} Admittance, just like impedance, is a complex number, made up of a real part (the conductance, G), and an imaginary part
C++ (9,665 words) [view diff] no match in snippet view article find links to article
incompatible or redundant in C++, such as variable-length arrays, native complex-number types (however, the std::complex class in the C++ standard library provides
Probability density function (4,940 words) [view diff] exact match in snippet view article find links to article
probability theory List of probability distributions Probability amplitude – Complex number whose squared absolute value is a probability Probability mass function –
Karnataka (13,192 words) [view diff] exact match in snippet view article find links to article
Vishnu image inside the Badami Cave Temple Complex number 3. The complex is an example of Indian rock-cut architecture.
Principal branch (491 words) [view diff] exact match in snippet view article find links to article
Complex logarithm Riemann surface Square root#Principal square root of a complex number Weisstein, Eric W. "Principal Branch". MathWorld. Branches of Complex
Ersu language (1,929 words) [view diff] exact match in snippet view article find links to article
Process of creating a complex number Root Meaning Type tsʰu six simple number nbotsʰo ten thousand base sɿn̩ seven simple number tu thousand base ʒɿ eight
Master stability function (366 words) [view diff] exact match in snippet view article find links to article
master stability function is now defined as the function which maps the complex number γ {\displaystyle \gamma } to the greatest Lyapunov exponent of the equation
Operator overloading (1,782 words) [view diff] exact match in snippet view article find links to article
mathematics: While + is commutative on integers (and more generally any complex number), it is not commutative for other "types" of variables. In practice
Telecommunications (9,208 words) [view diff] case mismatch in snippet view article find links to article
On 11 September 1940, George Stibitz transmitted problems for his Complex Number Calculator in New York using a teletype and received the computed results
Superposition principle (2,722 words) [view diff] exact match in snippet view article find links to article
Dirac: "if the ket vector corresponding to a state is multiplied by any complex number, not zero, the resulting ket vector will correspond to the same state
IEEE 802.11a-1999 (1,646 words) [view diff] exact match in snippet view article find links to article
the transmitter. Each of the subcarriers could be represented as a complex number. The time domain signal is generated by taking an Inverse Fast Fourier
Representation theory of SL2(R) (1,827 words) [view diff] exact match in snippet view article
infinitesimal character of an irreducible representation is specified by one complex number. The center Z of the group SL(2, R) is a cyclic group {I, −I} of order
IEEE 802.11g-2003 (1,667 words) [view diff] exact match in snippet view article find links to article
the transmitter. Each of the subcarriers could be represented as a complex number. The time domain signal is generated by taking an Inverse Fast Fourier
Wave–particle duality (2,957 words) [view diff] no match in snippet view article find links to article
experiments will measure particles at a point in space is the square of a complex-number valued wave. Experiments can be designed to exhibit diffraction and
Convolution (8,799 words) [view diff] no match in snippet view article find links to article
∗ g ) = ( a f ) ∗ g {\displaystyle a(f*g)=(af)*g} for any real (or complex) number a {\displaystyle a} . Multiplicative identity No algebra of functions
Élie Cartan (3,387 words) [view diff] exact match in snippet view article find links to article
Jacobian (i.e., transformations that multiply all volumes by the same complex number); 3) the pseudogroup of all analytic transformations of n complex variables
Ergodic theory (3,727 words) [view diff] exact match in snippet view article find links to article
on the complex plane (by left multiplication). If we pick a single complex number of unit length (which we think of as U), it is intuitive that its powers
Fortran (11,198 words) [view diff] exact match in snippet view article find links to article
that could generate faster and more efficient code. The inclusion of a complex number data type in the language made Fortran especially suited to technical
Pascal's rule (1,503 words) [view diff] exact match in snippet view article find links to article
a complex number, thus the above alternative algebraic proof shows that Pascal's rule holds more generally when n is replaced by any complex number. Pascal's
Phouoibi (2,591 words) [view diff] case mismatch in snippet view article find links to article
Number 3, preceded by Leimarel Sidabi Ima Keithel (Complex Number 1) and Imoinu Ima Keithel (Complex Number 2). This 500 years old market is in the center
Ptolemy's inequality (1,435 words) [view diff] exact match in snippet view article find links to article
derived by interpreting the four points as complex numbers, using the complex number identity: ( A − B ) ( C − D ) + ( A − D ) ( B − C ) = ( A − C ) ( B
Record (computer science) (2,827 words) [view diff] exact match in snippet view article
variable by their positions within the record; so that, for example, a complex number with fields called real and imag can be assigned to a 2D point record
Radian (5,407 words) [view diff] no match in snippet view article find links to article
angles expressed in radians (and messy otherwise). More generally, in complex-number theory, the arguments of these functions are (dimensionless, possibly
Primitive data type (1,931 words) [view diff] exact match in snippet view article find links to article
number with a variety of precisions and a programmer-selected scale. Complex number in C99, Fortran, Common Lisp, Python, D, Go. This is two floating-point
Phase transition (6,647 words) [view diff] exact match in snippet view article find links to article
freedom. In such phases, the order parameter may take the form of a complex number, a vector, or even a tensor, the magnitude of which goes to zero at
History of telecommunication (5,525 words) [view diff] case mismatch in snippet view article find links to article
George Stibitz was able to transmit problems using teletype to his Complex Number Calculator in New York City and receive the computed results back at
Further Mathematics (1,049 words) [view diff] exact match in snippet view article find links to article
Some topics covered in this course include mathematical induction, complex number, polar curve and conic sections, differential equations, recurrence
Ghostbusters (18,180 words) [view diff] no match in snippet view article find links to article
com, number five by Time Out, number six by ShortList, number 15 by Complex, number 31 by Empire, and it appears on Filmsite's non-ranked list. It also
Attractor (3,885 words) [view diff] exact match in snippet view article find links to article
Weakly attracting fixed point for a complex number evolving according to a complex quadratic polynomial. The phase space is the horizontal complex plane;
Finite field (7,505 words) [view diff] exact match in snippet view article find links to article
property α 2 = r {\displaystyle \alpha ^{2}=r} , in the same way that the complex number i {\displaystyle i} is a symbolic square root of − 1 {\displaystyle
Function (computer programming) (6,531 words) [view diff] exact match in snippet view article
of input. Consider the square root function applied to real number, complex number and matrix input. The algorithm for each type of input is different
Telecommunications engineering (3,716 words) [view diff] case mismatch in snippet view article find links to article
George Stibitz was able to transmit problems using teleprinter to his Complex Number Calculator in New York and receive the computed results back at Dartmouth
Hardy space (4,038 words) [view diff] exact match in snippet view article find links to article
\left(e^{i\theta }\right)\right)\,\mathrm {d} \theta \right)} for some complex number c with |c| = 1, and some positive measurable function φ {\displaystyle
Single-carrier FDMA (1,131 words) [view diff] exact match in snippet view article find links to article
after the DFT calculation, by multiplying each Fourier coefficient by a complex number. Thus, frequency-selective fading and phase distortion can be easily
HP calculators (662 words) [view diff] exact match in snippet view article find links to article
two line display (dot addressable) and featured built-in matrix and complex number mathematics. HP-45 1973 Improved version of the HP-35 with 10 memory
White-tailed deer (11,848 words) [view diff] exact match in snippet view article find links to article
and/or O. v. macrourus) populations. Central and South America have a complex number of white-tailed deer subspecies that range from Guatemala to as far
Emmy Noether (15,239 words) [view diff] exact match in snippet view article find links to article
consists of two elements: The identity transformation, which sends every complex number to itself, and complex conjugation, which sends +i to −i. Since the
Christian Goldbach (1,200 words) [view diff] exact match in snippet view article find links to article
Euler prove him to be one of a handful of mathematicians who understood complex number theory in light of Fermat's revolutionary ideas on the topic. (1729)
Visual Studio (15,394 words) [view diff] exact match in snippet view article find links to article
Studio 2015 still doesn't support the full standard; in particular, the complex number header complex.h introduced in C99 is unsupported. Visual C++ supports
W (disambiguation) (628 words) [view diff] exact match in snippet view article
(mtDNA) haplogroup Lambert W function, a set of functions where w is any complex number Weierstrass function, a real function continuous everywhere but differentiable
Poincaré disk model (4,059 words) [view diff] exact match in snippet view article find links to article
Möbius transformation. If u ∈ D {\displaystyle u\in \mathbb {D} } is a complex number of norm less than one representing a point of the Poincaré disk model
G. W. Pierce (1,056 words) [view diff] exact match in snippet view article find links to article
then the difference of free versus clamped impedance plotted as a complex number, or point in the impedance plane. For every receiver, the range of frequencies
Mechanical computer (1,753 words) [view diff] case mismatch in snippet view article find links to article
Germany 1955 Zuse, commercial Bell Labs Model I USA 1940 George Stibitz, "Complex Number Calculator", 450 relays and crossbar switches, demonstrated remote access
Argument (disambiguation) (280 words) [view diff] exact match in snippet view article
Argument (complex analysis), a function which returns the polar angle of a complex number Command-line argument, an item of information provided to a program
Diffraction grating (5,784 words) [view diff] exact match in snippet view article find links to article
probability amplitude. These probability amplitudes can be represented as a complex number or equivalent vector—or, as Richard Feynman simply calls them in his
Eigendecomposition of a matrix (5,590 words) [view diff] exact match in snippet view article find links to article
finishing the proof. The set of matrices of the form A − λB, where λ is a complex number, is called a pencil; the term matrix pencil can also refer to the pair
Wiener process (5,873 words) [view diff] exact match in snippet view article find links to article
the same as in the real-valued case. Rotation invariance: for every complex number c {\displaystyle c} such that | c | = 1 {\displaystyle |c|=1} the process
Constructibility (225 words) [view diff] exact match in snippet view article find links to article
be constructed with compass and straightedge Constructible number, a complex number associated to a constructible point Constructible polygon, a regular
Graded poset (1,934 words) [view diff] no match in snippet view article find links to article
polytope ("distance" from the least face, minus one) Abstract simplicial complex (number of elements of the simplex) A group with a generating set, or equivalently
Log-normal distribution (12,517 words) [view diff] exact match in snippet view article find links to article
term as in Itō's lemma for geometric Brownian motion. For any real or complex number n, the n-th moment of a log-normally distributed variable X is given
Potts model (3,645 words) [view diff] exact match in snippet view article find links to article
cluster formulation is that q {\displaystyle q} can be an arbitrary complex number, rather than a natural integer. Alternatively, instead of FK clusters
Graeffe's method (2,048 words) [view diff] exact match in snippet view article find links to article
assumes complex coordinates or an initial shift by some randomly chosen complex number, then all roots of the polynomial will be distinct and consequently
Wess–Zumino–Witten model (3,665 words) [view diff] no match in snippet view article find links to article
{\displaystyle G} a Lie group, and k {\displaystyle k} a (generally complex) number, let us define the G {\displaystyle G} -WZW model on Σ {\displaystyle
Transistor count (10,255 words) [view diff] case mismatch in snippet view article find links to article
relays, and operated at a clock frequency of about 4–5 Hz. The 1940 Complex Number Computer had fewer than 500 relays, but it was not fully programmable
Boy's surface (1,390 words) [view diff] exact match in snippet view article find links to article
discovered by Rob Kusner and Robert Bryant, is the following: given a complex number w whose magnitude is less than or equal to one ( ‖ w ‖ ≤ 1 {\displaystyle
Glossary of string theory (5,167 words) [view diff] exact match in snippet view article find links to article
extension of the Witt algebra of polynomial vector fields on a circle. w A complex number W A W-boson W-algebra A sort of generalization of the Virasoro algebra
Quantum group (4,983 words) [view diff] exact match in snippet view article find links to article
be the Cartan matrix of the Kac–Moody algebra, and let q ≠ 0, 1 be a complex number, then the quantum group, Uq(G), where G is the Lie algebra whose Cartan
Equality (mathematics) (7,556 words) [view diff] case mismatch in snippet view article
Marecek, Lynn; Mathis, Andrea Honeycutt (6 May 2020). "8.8 Use the Complex Number System". Intermediate Algebra 2e. OpenStax. ISBN 978-1-975076-49-8.
Constrained least squares (664 words) [view diff] exact match in snippet view article find links to article
{\boldsymbol {\beta }}} must be real numbers, or multiplied by the same complex number of unit modulus. If the constraint only applies to some of the variables
Subtyping (3,590 words) [view diff] exact match in snippet view article find links to article
constrains the Number type (for example, one can't compare an integer with a complex number), and actually only comparing integers with integers, and reals with
Magnetic monopole (8,267 words) [view diff] exact match in snippet view article find links to article
charge is bigger by an integer amount, but the field is still just a complex number – so that in U(1) gauge field theory it is possible to take the decompactified
Hypercycle (geometry) (1,534 words) [view diff] exact match in snippet view article
correspondence with φ ∈ (0, π/2). In the conformal disk model, each point P is a complex number with |P| < 1. Let the common axis be the real line and assume the hypercycles
Multivariate random variable (3,442 words) [view diff] exact match in snippet view article find links to article
{\displaystyle \mathbf {\omega } =(\omega _{1},\ldots ,\omega _{n})^{T}} to a complex number. It is defined by: p. 468  φ X ( ω ) = E ⁡ [ e i ( ω T X ) ] = E ⁡ [
Dual wavelet (604 words) [view diff] exact match in snippet view article find links to article
+ z ϕ ( 2 x ) {\displaystyle \psi (x)=\phi (x)+z\phi (2x)} for some complex number z. It is straightforward to show that this ψ does not have a wavelet
Wetzel's problem (527 words) [view diff] exact match in snippet view article find links to article
analytic functions, with the cardinality of the continuum, such that each complex number has a smaller-than-continuum set of images. As Ashutosh Kumar and Saharon
Differential Galois theory (1,635 words) [view diff] exact match in snippet view article find links to article
variable x as the derivation. The field of constants of this field is the complex number field C. By Liouville's theorem mentioned above, if f(z) and g(z) are
Funhouse (song) (1,353 words) [view diff] exact match in snippet view article
positive review, writing: "Pink again displays her versatility on this complex number, which calls for blues, funk and rock vocal stylings that few other