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Type of mathematical generalization
In mathematics, a q-analog of a theorem, identity or expression is a generalization involving a new parameter q that returns the original theorem, identity
Q-analog
q-analogs in mathematics and related fields. Iwahori–Hecke algebra Quantum affine algebra Quantum enveloping algebra Quantum group Jackson integral q-derivative
List_of_q-analogs
Concept in combinatorics (part of mathematics)
q-analog of the factorial, the q-factorial, as [ n ] ! q = ∏ k = 1 n [ k ] q = [ 1 ] q ⋅ [ 2 ] q ⋯ [ n − 1 ] q ⋅ [ n ] q = 1 − q 1 − q 1 − q 2 1 − q ⋯
Q-Pochhammer_symbol
Branch of mathematics
types of calculus in quantum calculus are q-calculus and h-calculus. The goal of both types is to find "analogs" of mathematical objects, where, after taking
Quantum_calculus
Function for Heun's differential equation
several confluent forms of the equation, as shown in the table below. The q-analog of Heun's equation has been discovered by Hahn (1971) and studied by Takemura
Heun_function
Algorithm for finding zeros of functions
Newton's method on the real line. Newton's method can be generalized with the q-analog of the usual derivative. A nonlinear equation has multiple solutions in
Newton's_method
Q-analog of the ordinary derivative
q-derivative, or Jackson derivative, is a q-analog of the ordinary derivative, introduced by Frank Hilton Jackson. It is the inverse of Jackson's q-integration
Q-derivative
Mathematical function
In mathematics, particularly q-analog theory, the Ramanujan theta function generalizes the form of the Jacobi theta functions, while capturing their general
Ramanujan_theta_function
System that converts an analog signal into a digital signal
In electronics, an analog-to-digital converter (ADC, A/D, or A-to-D) is a system that converts an analog signal, such as from fingers touching a touchscreen
Analog-to-digital_converter
Family of polynomials
{(1-q^{4})(1-q^{3})}{(1-q)(1-q^{2})}}=(1+q^{2})(1+q+q^{2})=1+q+2q^{2}+q^{3}+q^{4}} ( 6 3 ) q = ( 1 − q 6 ) ( 1 − q 5 ) ( 1 − q 4 ) ( 1 − q ) ( 1 − q 2 )
Gaussian_binomial_coefficient
Hahn–Exton q-Bessel function or the third Jackson q-Bessel function is a q-analog of the Bessel function, and satisfies the Hahn-Exton q-difference equation
Hahn–Exton_q-Bessel_function
Function in q-analog theory
In q-analog theory, the q {\displaystyle q} -gamma function, or basic gamma function, is a generalization of the ordinary gamma function closely related
Q-gamma_function
Family of probability distributions
distribution. It was introduced by Diaz and Teruel.[clarification needed] It is a q-analog of the Gaussian or normal distribution. The distribution is symmetric about
Gaussian_q-distribution
Q-analog of hypergeometric series
hypergeometric series is a q-analog of the hypergeometric series since lim q → 1 j ϕ k [ q a 1 q a 2 … q a j q b 1 q b 2 … q b k ; q , ( q − 1 ) 1 + k − j z ]
Basic_hypergeometric_series
In mathematics, a quantum or quantized enveloping algebra is a q-analog of a universal enveloping algebra. Given a Lie algebra g {\displaystyle {\mathfrak
Quantized_enveloping_algebra
In mathematics, a Jackson q-Bessel function (or basic Bessel function) is one of the three q-analogs of the Bessel function introduced by Jackson (1906a
Jackson_q-Bessel_function
Q-analog in combinatorial mathematics
mathematics, a q-exponential is a q-analog of the exponential function, namely the eigenfunction of a q-derivative. There are many q-derivatives, for
Q-exponential
Mathematical sequences in combinatorics
In mathematics, Stirling numbers arise in a variety of analytic and combinatorial problems. They are named after James Stirling, who introduced them in
Stirling_number
In mathematics, the q-Konhauser polynomials are a q-analog of the Konhauser polynomials. Al-Salam, W. A.; Verma, A. (1983). "q-Konhauser polynomials".
Q-Konhauser_polynomials
Mathematic function
elliptic gamma function is a generalization of the q-gamma function, which is itself the q-analog of the ordinary gamma function. It is closely related
Elliptic_gamma_function
Complex-differentiable part of a Maass wave function
q ; q 2 ) n ( q ; q 2 ) n + 1 2 = ∑ n ≥ 0 q n + 1 ( − q 2 ; q 2 ) n ( q ; q 2 ) n + 1 {\displaystyle A(q)=\sum _{n\geq 0}{\frac {q^{(n+1)^{2}}(-q;q
Mock_modular_form
Generalization of Gaussian distribution
domains the q-Gaussian distribution more suitable than Gaussian distribution to model the effect of external stochasticity. A generalized q-analog of the classical
Q-Gaussian_distribution
Mathematical theorem on convolved binomial coefficients
1303 by the Chinese mathematician Zhu Shijie. There is a q-analog to this theorem called the q-Vandermonde identity. Vandermonde's identity can be generalized
Vandermonde's_identity
Resonator damping parameter
Ian (2013). Analog Electronics: Analog Circuitry Explained. Newnes. p. 42. ISBN 9781483162287. Encyclopedia of Laser Physics and Technology: Q factor Archived
Q_factor
In q-analog theory, the Jackson integral or q-integral is a series in the theory of special functions that expresses the operation inverse to q-differentiation
Jackson_integral
Topics referred to by the same term
Q Division may refer to: Q Division (James Bond) Q Division Records Q Division Studios the q-analog of regular division in Tsallis q-theory This disambiguation
Q_Division
Mathematical identities related to integer partitions
are G ( q ) = ∑ n = 0 ∞ q n 2 ( q ; q ) n = 1 ( q ; q 5 ) ∞ ( q 4 ; q 5 ) ∞ = 1 + q + q 2 + q 3 + 2 q 4 + 2 q 5 + 3 q 6 + ⋯ {\displaystyle G(q)=\sum _{n=0}^{\infty
Rogers–Ramanujan_identities
Class of mathematical polynomials
q − x q x + 1 c d a q b d q c q ; q ; q ] . {\displaystyle p_{n}(q^{-x}+q^{x+1}cd;a,b,c,d;q)={}_{4}\phi _{3}\left[{\begin{matrix}q^{-n}&abq^{n+1}&q
Racah_polynomials
Deformation of the group algebra of a Coxeter group
algebra of a Coxeter group. The Hecke algebra can also be viewed as a q-analog of the group algebra of a Coxeter group. Hecke algebras are quotients of
Iwahori–Hecke_algebra
Algorithm used to emulate analog synthesizers
An analog modeling synthesizer is a synthesizer that generates the sounds of traditional analog synthesizers using digital signal processing components
Analog_modeling_synthesizer
Group of 𝑛 × 𝑛 invertible matrices
{\displaystyle k-1} columns. In q-analog notation, this is [ n ] q ! ( q − 1 ) n q ( n 2 ) {\displaystyle [n]_{q}!(q-1)^{n}q^{n \choose 2}} . For example
General_linear_group
Continued fraction closely related to the Rogers–Ramanujan identities
( q ) = ∑ n = 0 ∞ q n 2 ( 1 − q ) ( 1 − q 2 ) ⋯ ( 1 − q n ) = ∑ n = 0 ∞ q n 2 ( q ; q ) n = 1 ( q ; q 5 ) ∞ ( q 4 ; q 5 ) ∞ = ∏ n = 1 ∞ 1 ( 1 − q 5 n
Rogers–Ramanujan continued fraction
Rogers–Ramanujan_continued_fraction
Ukrainian mathematician
and approximation theory, and known for her research on q-Bernstein polynomials, the q-analogs of the Bernstein polynomials. She has also published works
Sofiya_Ostrovska
Functions of an angle
trigonometric and hyperbolic functions q-Sine Article about the q-analog of sin at MathWorld q-Cosine Article about the q-analog of cos at MathWorld
Trigonometric_functions
Topics referred to by the same term
range distribution, the distribution followed by the q-statistic q-analog distributions: Gaussian q-distribution, a family of probability distributions
Q_distribution
Identity in mathematical combinatorics
q = ∑ j ( m k − j ) q ( n j ) q q j ( m − k + j ) . {\displaystyle {\binom {m+n}{k}}_{\!\!q}=\sum _{j}{\binom {m}{k-j}}_{\!\!q}{\binom {n}{j}}_{\!\!q}q^{j(m-k+j)}
Q-Vandermonde_identity
Process of varying one or more properties of a periodic waveform
typically using digital signal processing. Perform digital to analog conversion (DAC) of the I and Q signals (since today all of the above is normally achieved
Signal_modulation
Family of orthogonal polynomials
in the course of his work on the Rogers–Ramanujan identities. They are q-analogs of ultraspherical polynomials, and are the Macdonald polynomials for the
Rogers_polynomials
Mathematical term
= [ q n ] ( q ; q ) ∞ q k 1 − q k , {\displaystyle s_{n,k}=[q^{n}](q;q)_{\infty }{\frac {q^{k}}{1-q^{k}}},} where ( q ; q ) ∞ {\displaystyle (q;q)_{\infty
Lambert_series
q)&=1\\H_{1}(x\mid q)&=2x\\H_{2}(x\mid q)&=4x^{2}-(1-q)\\H_{3}(x\mid q)&=8x^{3}-2x(2-q-q^{2})\\H_{4}(x\mid q)&=16x^{4}-4x^{2}(3-q-q^{2}-q^{3})+(1-q-q^{3}+q^{4})\end{aligned}}}
Continuous q-Hermite polynomials
Continuous_q-Hermite_polynomials
≡ ( x ; q ) ∞ = ∏ n = 0 ∞ ( 1 − x q n ) , | q | < 1 {\displaystyle \phi (x)\equiv (x;q)_{\infty }=\prod _{n=0}^{\infty }(1-xq^{n}),\quad |q|<1} It is
Quantum_dilogarithm
q ; q ) n 1 ϕ 1 ( q − n ; q α + 1 ; q , − q n + α + 1 x ) . {\displaystyle \displaystyle L_{n}^{(\alpha )}(x;q)={\frac {(q^{\alpha +1};q)_{n}}{(q;q)_{n}}}{}_{1}\phi
Q-Laguerre_polynomials
functions by Q n ( q − x ; a , b , N ; q ) = 3 ϕ 2 [ q − n , a b q n + 1 , q − x a q , q − N ; q , q ] . {\displaystyle Q_{n}(q^{-x};a,b,N;q)={}_{3}\phi
Q-Hahn_polynomials
The q-difference polynomials satisfy the relation ( d d z ) q p n ( z ) = p n ( q z ) − p n ( z ) q z − z = q n − 1 q − 1 p n − 1 ( z ) = [ n ] q p n
Q-difference_polynomial
Mathematical function
function is given by ϕ ( q ) = ∏ k = 1 ∞ ( 1 − q k ) , | q | < 1. {\displaystyle \phi (q)=\prod _{k=1}^{\infty }(1-q^{k}),\quad |q|<1.} Named after Leonhard
Euler_function
Mathematical family
little q-Jacobi polynomials are given in terms of basic hypergeometric functions by p n ( x ; a , b ; q ) = 2 ϕ 1 ( q − n , a b q n + 1 ; a q ; q , x q ) {\displaystyle
Little_q-Jacobi_polynomials
q − x ; a ; q ) = 2 ϕ 1 ( q − n , q − x ; 0 ; q , − q n + 1 / a ) . {\displaystyle \displaystyle C_{n}(q^{-x};a;q)={}_{2}\phi _{1}(q^{-n},q^{-x};0;q,-q^{n+1}/a)
Q-Charlier_polynomials
{1}{z}};q\right).} It may also be expressed as: θ ( z ; q ) = ( z ; q ) ∞ ( q / z ; q ) ∞ {\displaystyle \theta (z;q)=(z;q)_{\infty }(q/z;q)_{\infty
Q-theta_function
British mathematician
hypergeometric series. He introduced several q-analogs such as the Jackson–Bessel functions, the Jackson-Hahn-Cigler q-addition, the Jackson derivative, and
F._H._Jackson
q ) ) = ( q ; q ) n ∗ ( − a q n ; q ) ∞ a n ∗ q ( n + 1 2 ) 1 + a q 2 n δ m n {\displaystyle \sum _{k=0}^{\infty }\left({\frac {a^{k}}{(q;q)_{n}}}*q^{k+1
Q-Bessel_polynomials
polynomials (or q-Wilson polynomials) are a family of orthogonal polynomials introduced by Richard Askey and James A. Wilson as q-analogs of the Wilson
Askey–Wilson_polynomials
Mathematical function
\mathbb {Z} \atop m\leq |3n|}(-1)^{m}q^{(2m+1)^{2}-32n^{2}}} where q = e2πiτ is the q-analog or "deformation" of the highest weight of a module. From the above
Dedekind_eta_function
Classification of orthogonal polynomials
Al-Salam–Chihara | q-Meixner–Pollaczek | Continuous q-Jacobi | Big q-Laguerre | Little q-Jacobi | q-Meixner | Quantum q-Krawtchouk | q-Krawtchouk | Affine q-Krawtchouk
Askey_scheme
Theorem on the largest antichain of sets
projective-geometry analog, or q-analog, of Sperner's theorem. They further proved that the largest size of an r-chain-free family in L ( p , F q ) {\displaystyle
Sperner's_theorem
Mathematical technique for manipulating signals
called "I/Q data" the information is likely digital. However, I/Q may be represented as analog signals. The concepts are applicable to both the analog and digital
In-phase and quadrature components
In-phase_and_quadrature_components
n ( q − x + q x + 1 c d ; a , b , c , d ; q ) = 4 ϕ 3 [ q − n a b q n + 1 q − x q x + 1 c d a q b d q c q ; q ; q ] {\displaystyle p_{n}(q^{-x}+q^{x+1}cd;a
Q-Racah_polynomials
Family of hypergeometric orthogonal polynomials
q − x + γ δ q x + 1 , γ , δ , N | q ) = 3 ϕ 2 [ q − n , q − x , γ δ q x + 1 γ q , q − N ; q , q ] , n = 0 , 1 , 2 , . . . , N {\displaystyle R_{n}(q^{-x}+\gamma
Dual_q-Hahn_polynomials
Property of many linear time-invariant (LTI) systems
dissimilar, and therein lies the importance of the distinction. For instance, analog electronic filters composed of resistors, capacitors, and/or inductors (and
Infinite_impulse_response
the q-Pochhammer symbol by P n ( x ; a , b ; q ) = 1 ( b − 1 q − n ; q ) n 2 ϕ 1 ( q − n , a q x − 1 ; a q ; q , x b ) {\displaystyle P_{n}(x;a,b;q)={\frac
Big_q-Laguerre_polynomials
functions and the q-Pochhammer symbol by p n ( x ; a , b , c ∣ q ) = ( a b , a c ; q ) n a n 3 ϕ 2 ( q − n , a e i θ , a e − i θ ; a b , a c ∣ q ; q ) {\displaystyle
Continuous dual q-Hahn polynomials
Continuous_dual_q-Hahn_polynomials
Television that uses analog signals
Analog television (or analogue television) is the original television technology that uses analog signals to transmit video and audio. In an analog television
Analog_television
About the convergence of Newton's method
Potra (1984), can be derived from the Kantorovich theorem. There is a q-analog for the Kantorovich theorem. For other generalizations/variations, see
Kantorovich_theorem
Number of subsets of a given size
q-analog generalization known as the Gaussian binomial coefficient. These coefficients are polynomials in an indeterminate (traditionally denoted q)
Binomial_coefficient
( x ; q ) = q ( n 2 ) 2 ϕ 1 ( q − n , x − 1 ; 0 ; q , − q x ) = x n 2 ϕ 0 ( q − n , q − n + 1 ; ; q 2 , q 2 n − 1 / x 2 ) = U n ( − 1 ) ( x ; q ) {\displaystyle
Discrete q-Hermite polynomials
Discrete_q-Hermite_polynomials
K n ( q − x ; p , N ; q ) = 3 ϕ 2 [ q − n , q − x , − p q n q − N , 0 ; q , q ] , n = 0 , 1 , 2 , . . . , N . {\displaystyle K_{n}(q^{-x};p,N;q)={}_{3}\phi
Q-Krawtchouk_polynomials
Family of orthogonal polynomials
and the q-Pochhammer symbol by P n ( α , β ) ( x ; q ) = ( q n + 1 ; q ) n ( q ; q ) n 4 ϕ 3 [ q − n , q n + α + β + 1 , q 1 2 α + 1 4 e i θ , q 1 2 α +
Continuous q-Jacobi polynomials
Continuous_q-Jacobi_polynomials
Relation of types of systems with corresponding dynamics
Analogical models are a method of representing a phenomenon of the world, often called the "target system" by another, more understandable or analysable
Analogical_models
Mathematical term
an LLT polynomial is one of a family of symmetric functions introduced as q-analogues of products of Schur functions. J. Haglund, M. Haiman, and N. Loehr
LLT_polynomial
Class of simple graphs defined from vector spaces
of order q; two vertices are adjacent when their intersection is (k − 1)-dimensional. Many of the parameters of Grassmann graphs are q-analogs of the parameters
Grassmann_graph
Concept in mathematics
n = ∑ r = 0 n α r ( q ; q ) n − r ( a q ; q ) n + r {\displaystyle \beta _{n}=\sum _{r=0}^{n}{\frac {\alpha _{r}}{(q;q)_{n-r}(aq;q)_{n+r}}}} or equivalently
Bailey_pair
and the q-Pochhammer symbol by p n ( x ; a | q ) = 2 ϕ 1 ( q − n , 0 ; a q ; q , q x ) = 1 ( a − 1 q − n ; q ) n 2 ϕ 0 ( q − n , x − 1 ; ; q , x / a )
Little_q-Laguerre_polynomials
Mathematical concept
Q-Pochhammer symbol ( z ; q ) ∞ = ∏ n = 0 ∞ ( 1 − z q n ) {\displaystyle (z;q)_{\infty }=\prod _{n=0}^{\infty }(1-zq^{n})} Widely used in q-analog theory
Infinite_product
Plane curve
not on a line. For this family of ellipses, one introduces the following q-analog angle measure, which is not a function of the usual angle measure θ: In
Ellipse
Family of digital modulation methods
within its color burst signal. Analog QAM is used in: NTSC and PAL analog color television systems, where the I- and Q-signals carry the components of
Quadrature amplitude modulation
Quadrature_amplitude_modulation
P n ( x | q ) = 4 ϕ 3 ( q − n , q n + 1 , q 1 4 e i θ , q 1 4 e − i θ ; q , − q − 1 2 , − q ; q , q ) , x = cos θ . {\displaystyle P_{n}(x|q)={}_{4}\phi
Continuous q-Legendre polynomials
Continuous_q-Legendre_polynomials
German synthesizer company
oscillator module for the Creamware Modular synthesizer system. Q: A DSP-driven virtual analog synthesizer with 58 knobs. Available in bright yellow "Sahara"
Waldorf_Music
Electronic circuit element implementing a filter
circuits include mixed-signal integrated circuits, digital-to-analog converter (DAC) chips, analog-to-digital converter (ADC) chips, pulse-code modulation (PCM)
Switched_capacitor
Algebraic construct of interest in theoretical physics
the q-factorial, the q-analog of the ordinary factorial, is defined recursively using q-number: [ 0 ] q i ! = 1 [ n ] q i ! = ∏ m = 1 n [ m ] q i , [
Quantum_group
q-Pochhammer symbol by ： P n ( x ; a ∣ q ) = a − n e i n ϕ ( a 2 ; q ) n ( q ; q ) n 3 ϕ 2 ( q − n , a e i ( θ + 2 ϕ ) , a e − i θ ; a 2 , 0 ∣ q ; q )
Q-Meixner–Pollaczek polynomials
Q-Meixner–Pollaczek_polynomials
q − x ; b , c ; q ) = 2 ϕ 1 [ q − n , q − x b q ; q , − q n + 1 c ] . {\displaystyle M_{n}(q^{-x};b,c;q)={}_{2}\phi _{1}\left[{\begin{matrix}q^{-n},q
Q-Meixner_polynomials
[n]_{q}:=1+q+\cdots +q^{n-1}} and define the q-binomial coefficient by [ n k ] q = [ n ] q ⋯ [ 2 ] q [ 1 ] q [ k ] q ⋯ [ 2 ] q [ 1 ] q [ n − k ] q ⋯ [ 2 ] q [
Cyclic_sieving
Family of basic hypergeometric orthogonal polynomials
q ) = a − n 3 ϕ 2 [ q − n , a e i θ , a e − i θ 0 , 0 ; q , q ] , x = cos θ . {\displaystyle H_{n}(x;a|q)=a^{-n}{}_{3}\phi _{2}\left[{\begin{matrix}q^{-n}
Continuous big q-Hermite polynomials
Continuous_big_q-Hermite_polynomials
1991 EP by Aphex Twin
q". SoundCloud. Archived from the original on 27 October 2015. Retrieved 30 August 2015. Analog Bubblebath Vol 2 at Discogs "Alien Fanny Farts AB2 q"
Analog_Bubblebath_Vol_2
Polynomial sequence
define a q-analog of the Angelescu polynomials as π n , q ( x ) := e q ( x q n ) D q n [ E q ( − x ) P n ( x ) ] {\displaystyle \pi _{n,q}(x):=e_{q
Angelescu_polynomials
Result in enumerative combinatorics and linear algebra
Although various q-Dixon identities have been known for decades, except for a Krattenthaler–Schlosser extension (1999), the proper q-analog of MMT remained
MacMahon's_master_theorem
aff ( q − x ; p ; N ; q ) = 3 ϕ 2 ( q − n , 0 , q − x p q , q − N ; q , q ) , n = 0 , 1 , 2 , … , N . {\displaystyle K_{n}^{\text{aff}}(q^{-x};p;N;q)={}_{3}\phi
Affine q-Krawtchouk polynomials
Affine_q-Krawtchouk_polynomials
Instrument for measuring, keeping or indicating time
definition of the second. Clocks have different ways of displaying the time. Analog clocks indicate time with a traditional clock face and moving hands. Digital
Clock
which is 1 for any μ {\displaystyle \mu } as expected. Arun Ram gives a q-analog of the Frobenius formula. Representation theory of symmetric groups Ram
Frobenius_formula
Family of basic hypergeometric orthogonal polynomials in the basic Askey scheme
q-Pochhammer symbol by Q n ( x ; a , b ; q ) = ( a b ; q ) n a n 3 ϕ 2 ( q − n , a e i θ , a e − i θ ; a b , 0 ; q , q ) {\displaystyle Q_{n}(x;a,b;q)={\frac
Al-Salam–Chihara_polynomials
; q ) = ( − a ) n q n ( n − 1 ) / 2 2 ϕ 1 ( q − n , x − 1 ; 0 ; q , q x / a ) {\displaystyle U_{n}^{(a)}(x;q)=(-a)^{n}q^{n(n-1)/2}{}_{2}\phi _{1}(q^{-n}
Al-Salam–Carlitz_polynomials
Family of power series in mathematics
rather more complicated and recondite series. The "basic" series is the q-analog of the ordinary hypergeometric series. There are several such generalizations
Generalized hypergeometric function
Generalized_hypergeometric_function
Analog controller for the PlayStation
PlayStation Analog Joystick (SCPH-1110) is Sony's first analog controller for the PlayStation, and is the precursor to the PlayStation Dual Analog Controller
PlayStation_Analog_Joystick
Theorem about the constant term of certain Laurent polynomials
(1975) found a q-analog of Dyson's conjecture, stating that the constant term of ∏ 1 ≤ i < j ≤ n ( x i x j ; q ) a i ( q x j x i ; q ) a j {\displaystyle
Dyson_conjecture
Planet with environment similar to Earth's
An Earth analog, also called an Earth twin or second Earth, is a planet or moon with environmental conditions similar to those found on Earth. The term
Earth_analog
n q t m ( q − x ; p , N ; q ) = 2 ϕ 1 [ q − n , q − x q − N ; q ; p q n + 1 ] n = 0 , 1 , 2 , . . . , N . {\displaystyle K_{n}^{qtm}(q^{-x};p,N;q)={}_{2}\phi
Quantum q-Krawtchouk polynomials
Quantum_q-Krawtchouk_polynomials
Upper bound on intersecting set families
include that chosen element. Examples include the following: There is a q-analog of the Erdős–Ko–Rado theorem for intersecting families of linear subspaces
Erdős–Ko–Rado_theorem
Analog television system
first American standard for analog television, published and adopted in 1941. It was one of three major color formats for analog television; the others were
NTSC
Hypergeometric orthogonal polynomials
functions and the q-Pochhammer symbol by p n ( x ; a , b , c , d | q ) = a − n e − i n u ( a b e 2 i u , a c , a d ; q ) n 4 ϕ 3 ( q − n , a b c d q n − 1 , a
Continuous_q-Hahn_polynomials
Method for converting signals between digital and analog
sample-frequency as part of the process of delta-sigma analog-to-digital converters (ADCs) and digital-to-analog converters (DACs). Delta-sigma modulation achieves
Delta-sigma_modulation
Star that is particularly similar to the Sun
Solar-type stars, solar analogs (also analogues), and solar twins are stars that are particularly similar to the Sun. The stellar classification is a
Solar_analog
Q ANALOG
Q ANALOG
Boy/Male
Indian
The provider
Surname or Lastname
English
English : habitational name from a place called Hanham in Gloucestershire, which was originally Old English HÄnum, dative plural of hÄn ‘rock’, hence ‘(place) at the rocks’. The ending -ham is by analogy with other place names with this very common unstressed ending.
Surname or Lastname
English
English : topographic name for someone who lived by a gate or ‘hatch’ (especially one leading into a forest), northern Middle English heck (Old English hæcc), or a habitational name from Great Heck in North Yorkshire, which is named with this word. Compare Hatch.German : topographic name from Middle High German hecke, hegge ‘hedge’. This name is common in southern Germany and the Rhineland.Possibly an Americanized spelling of French Hec(q), a topographic name from Old French hec ‘gate’, ‘barrier’, ‘fence’ (compare 1), or a habitational name from a place named with this word.Shortened form of the Dutch surname van (den) Hecke, a habitational name from any of several places called ten Hekke in the Belgian provinces of East and West Flanders.
Surname or Lastname
English
English : occupational name for a scribe or copyist, from an agent derivative of Middle English, Old French bulle ‘letter’, ‘document’.English (of Norman origin) : habitational name from a place in Normandy that has not been identified. If it is Bouillé, and so identical with Bulley 1, the -er(s) may have arisen by analogy with other Norman place names in -ière(s) (see for example Villers).German : nickname for a man with a loud voice, from an agent derivative of Middle High German bullen ‘to roar’ (of imitative origin).
Boy/Male
Muslim
The provider
Q ANALOG
Q ANALOG
Boy/Male
Tamil
Coming, Arrival, A name of Jain shastra
Boy/Male
British, English
From the March
Girl/Female
African, Hindu, Indian, Marathi
Warrior
Girl/Female
Greek American Irish
Pure.
Girl/Female
Anglo, British, English, German, Greek, Hebrew
Little Wealthy One; Place Name; Woad Hill; Rich; Song
Girl/Female
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Sanskrit, Tamil, Telugu
Charming
Boy/Male
Arabic
Brave
Girl/Female
Arabic, Muslim
Happy; Lucky; Fortunate
Girl/Female
Hindu, Indian
Capable
Boy/Male
Gujarati, Hindu, Indian
Flow
Q ANALOG
Q ANALOG
Q ANALOG
Q ANALOG
Q ANALOG
a.
Having analogy; analogous.
a.
Founded on, or of the nature of, analogy; expressing or implying analogy.
n.
A word in one language corresponding with one in another; an analogous term; as, the Latin "pater" is the analogue of the English "father."
n.
One who reasons from analogy, or represent, by analogy.
n.
Investigation of things by the analogy they bear to each other.
pl.
of Analogy
v. i.
To employ, or reason by, analogy.
adv.
In an analogical sense; in accordance with analogy; by way of similitude.
n.
The acorn cup of two kinds of oak (Quercus macrolepis, and Q. vallonea) found in Eastern Europe. It contains abundance of tannin, and is much used by tanners and dyers.
n.
Quality of being analogical.
n.
One of several American blackbirds, of the family Icteridae; as, the rusty grackle (Scolecophagus Carolinus); the boat-tailed grackle (see Boat-tail); the purple grackle (Quiscalus quiscula, or Q. versicolor). See Crow blackbird, under Crow.
n.
Analogue.
a.
Of or belonging to analogy.
n.
An organ which is equivalent in its functions to a different organ in another species or group, or even in the same group; as, the gill of a fish is the analogue of a lung in a quadruped, although the two are not of like structural relations.
q.
Moving or causing motion; motory; active, as opposed to latent.
a.
Analogous.
n.
That which is analogous to, or corresponds with, some other thing.
n.
The acetabulum. See Acetabulum, 2. Q () the seventeenth letter of the English alphabet, has but one sound (that of k), and is always followed by u, the two letters together being sounded like kw, except in some words in which the u is silent. See Guide to Pronunciation, / 249. Q is not found in Anglo-Saxon, cw being used instead of qu; as in cwic, quick; cwen, queen. The name (k/) is from the French ku, which is from the Latin name of the same letter; its form is from the Latin, which derived it, through a Greek alphabet, from the Ph/nician, the ultimate origin being Egyptian.
a.
Having analogy; corresponding to something else; bearing some resemblance or proportion; -- often followed by to.
a.
Having the place of articulation on the soft palate; guttural; as, the velar consonants, such as k and hard q.