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Longer titles found: Split-complex number (view)

searching for complex number 91 found (837 total)

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 (8,715 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

GNOME Calculator (290 words) [view diff] exact match in snippet view article find links to article

the MPFR library for extended precision arithmetic. It can support complex number arithmetic, perform factorization of integers, and define new functions

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 (1,379 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

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

Spectral theory of ordinary differential equations (9,399 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)

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

Economic history of China (1949–present) (9,564 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

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

Science (15,544 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

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

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++ (5,732 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

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

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

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

CPT symmetry (1,314 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

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

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

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

Probability density function (4,943 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 (13,176 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.

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

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

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

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

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 802.11a-1999 (1,660 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

IEEE 802.11g-2003 (1,681 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

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

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

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

Ptolemy's inequality (1,431 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

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

Élie Cartan (3,393 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

Convolution (8,818 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

Fortran (11,235 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

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

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

Radian (5,420 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

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

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;

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

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

History of telecommunication (5,531 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

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

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

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

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

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

Finite field (7,535 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

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

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

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

Poincaré disk model (4,060 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

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

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

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

Wiener process (5,874 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

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

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

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

Log-normal distribution (12,551 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

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

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

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

Transistor count (10,250 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

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

Emmy Noether (15,260 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

Baker–Campbell–Hausdorff formula (6,168 words) [view diff] exact match in snippet view article find links to article

Y ] = s Y {\displaystyle [X,Y]=sY} , where s {\displaystyle s} is a complex number with s ≠ 2 π i n {\displaystyle s\neq 2\pi in} for all integers n {\displaystyle

Equality (mathematics) (7,455 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.

Magnetic monopole (8,385 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

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

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

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

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

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 ⁡ [

Subtyping (4,046 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

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) (1,354 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