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Type of analog-to-digital converter
A successive-approximation ADC (or SAR ADC) is a type of analog-to-digital converter (ADC) that digitizes each sample from a continuous analog waveform
Successive-approximation_ADC
Numerical approximation algorithm
method of successive approximation. An iterative method is called convergent if the corresponding sequence converges for given initial approximations. A mathematically
Iterative_method
Topics referred to by the same term
of successive approximation are a category of strategies in pure and applied mathematics. Successive approximation also may refer to: Successive approximation
Successive_approximation
Psychological paradigm for behavior analysis
of behavior. The method used is differential reinforcement of successive approximations. It was introduced by B. F. Skinner with pigeons and extended
Shaping_(psychology)
System that converts an analog signal into a digital signal
successive-approximation ADC uses a comparator and a binary search to successively narrow a range that contains the input voltage. At each successive
Analog-to-digital_converter
Something roughly the same as something else
An approximation is anything that is intentionally similar but not exactly equal to something else. The word approximation is derived from Latin approximatus
Approximation
Theorem in mathematics
an inverse function. The essential idea is that if the best linear approximation to the function at a point is invertible, then with sufficient regularity
Inverse_function_theorem
known as the cascade algorithm. The iterative algorithm generates successive approximations to ψ(t) or φ(t) from {h} and {g} filter coefficients. If the algorithm
Cascade_algorithm
Problem optimization method
view, Dijkstra's algorithm for the shortest path problem is a successive approximation scheme that solves the dynamic programming functional equation
Dynamic_programming
Method of solving a linear system of equations
According to the successive over-relaxation algorithm, the following table is obtained, representing an exemplary iteration with approximations, which ideally
Successive_over-relaxation
Activities that develop a person's capabilities and potential
with fewer setbacks. Successive approximation—or shaping—most closely aligns with personal development. Successive approximation is when one desires a
Personal_development
Approximation method in statistics
parameters are refined iteratively, that is, the values are obtained by successive approximation: β j k + 1 = β j k + Δ β j , {\displaystyle {\beta _{j}}^{k+1}={\beta
Least_squares
Algorithm for finding zeros of functions
Joseph Raphson, is a root-finding algorithm which produces successively better approximations to the roots (or zeroes) of a real-valued function. The most
Newton's_method
Approximation method in statistics
parameters are refined iteratively, that is, the values are obtained by successive approximation, β j ≈ β j k + 1 = β j k + Δ β j . {\displaystyle \beta _{j}\approx
Non-linear_least_squares
Theorem about metric spaces
be understood as an abstract formulation of Picard's method of successive approximations. The theorem is named after Stefan Banach (1892–1945) who first
Banach_fixed-point_theorem
Bitmap image file format family
numerical value; this allows each search to be done by a SAR (Successive Approximation Register, as used in some ADCs), with only 12 magnitude comparisons
GIF
Topics referred to by the same term
Submarine Advanced Reactor program of USS Triton Successive Approximation Register of a successive-approximation ADC Synthetic-aperture radar, imaging radar
SAR
Species of mathematical spline
other direct geometric techniques which do not use subdivision or successive approximation techniques. They are also difficult to combine directly with perspective
Bézier_surface
Varying methods used to calculate pi
be used to generate successive best rational approximations. These approximations are the best possible rational approximations of π relative to the
Approximations_of_pi
Solution method for linear differential equations
In mathematical physics, the WKB approximation or WKB method is a technique for finding approximate solutions to linear differential equations with spatially
WKB_approximation
Algorithm for finding shortest paths
a dynamic programming point of view, Dijkstra's algorithm is a successive approximation scheme that solves the dynamic programming functional equation
Dijkstra's_algorithm
Iterative method used to solve a linear system of equations
lineäre Gleichungen überhaupt, durch successive Annäherung aufzulösen" [On a process for solving by successive approximation the equations to which the method
Gauss–Seidel_method
Class of algorithms that find approximate solutions to optimization problems
In computer science and operations research, approximation algorithms are efficient algorithms that find approximate solutions to optimization problems
Approximation_algorithm
Type of analog-to-digital converter
front of an ADC input. This is needed for many ADC types (like successive approximation ADC), but for flash ADCs, there is no real need for this because
Flash_ADC
Regression analysis
more independent variables. The data are fitted by a method of successive approximations (iterations). In nonlinear regression, a statistical model of
Nonlinear_regression
Methods for numerical approximations
possible. Starting from an initial guess, iterative methods form successive approximations that converge to the exact solution only in the limit. A convergence
Numerical_analysis
Spoken guessing game using yes–no questions
analogous to a binary search algorithm in computer science or successive-approximation ADC in analog-to-digital signal conversion. In 1901, Charles Sanders
Twenty_questions
Mathematical model for sequential decision making under uncertainty
doi:10.1287/mnsc.24.11.1127. van Nunen, J.A. E. E (1976). "A set of successive approximation methods for discounted Markovian decision problems". Zeitschrift
Markov_decision_process
Number represented as a0+1/(a1+1/...)
irrationals, and hence are unique periodic continued fractions. The successive approximations generated in finding the continued fraction representation of
Simple_continued_fraction
Telecommunications and signal processing technique
nonlinear DAC could be complemented by the inverse nonlinearity in a successive-approximation ADC configuration, simplifying the design of digital companding
Companding
System-on-a-chip microcontroller model with Wi-Fi
plus a transmit-only UART can be enabled on GPIO2 10-bit ADC (successive approximation ADC) The pinout is as follows for the common ESP-01 module: GND
ESP8266
Inference seeking the simplest and most likely explanation
abductive reasoning. This can also be called reasoning through successive approximation.[citation needed] Under this principle, an explanation is valid
Abductive_reasoning
Root-finding algorithm
equation to an accuracy of 15 significant figures. Some of the "successive approximation" schemes used in dynamic programming to solve Bellman's functional
Fixed-point_iteration
analog 24 74F500 74x502 1 8-bit successive approximation register 16 74LS502 74x503 1 8-bit successive approximation register with expansion control 16
List of 7400-series integrated circuits
List_of_7400-series_integrated_circuits
Approximation of a function by its tangent line at a point
In mathematics, a linear approximation is an approximation of a general function using a linear function (more precisely, an affine function). They are
Linear_approximation
Optimization algorithm
space, but where BFGS stores a dense n × n {\displaystyle n\times n} approximation to the inverse Hessian (n being the number of variables in the problem)
Limited-memory_BFGS
Woodworking machine
bowed board: Straightening is a successive approximation sequence. Successive cuts are made from each end, made successively longer each time the board is
Jointer
Equation whose unknown is a function
as special cases or limits. In dynamic programming a variety of successive approximation methods are used to solve Bellman's functional equation, including
Functional_equation
Type of voltage sampling device
inaccurate and possibly unrelated to the true input value. Such successive approximation converters will often incorporate internal sample and hold circuitry
Sample_and_hold
Rational-number approximation of a real number
In number theory, the study of Diophantine approximation deals with the approximation of real numbers by rational numbers. It is named after Diophantus
Diophantine_approximation
related fields, relaxation is a modeling strategy. A relaxation is an approximation of a difficult problem by a nearby problem that is easier to solve.
Relaxation_(approximation)
Semiconductor manufacturing process
Andreou, Andreas G. (September 2006). "An 8-bit 800-μW 1.23-MS/s Successive Approximation ADC in SOI CMOS" (PDF). IEEE Transactions on Circuits and Systems
Silicon_on_sapphire
Algorithm used to solve non-linear least squares problems
β {\displaystyle {\boldsymbol {\beta }}} . The above first-order approximation of f ( x i , β + δ ) {\displaystyle f{\left(x_{i},{\boldsymbol {\beta
Levenberg–Marquardt_algorithm
Mathematical optimization problem
Tarjan, Robert E. (1990). "Finding minimum-cost circulations by successive approximation". Mathematics of Operations Research. 15 (3): 430–466. doi:10.1287/moor
Minimum-cost_flow_problem
Sequence of locally optimal choices
matching pursuit is an example of a greedy algorithm applied on signal approximation. A greedy algorithm finds the optimal solution to Malfatti's problem
Greedy_algorithm
Algorithms for calculating square roots
sequence of approximations x n {\displaystyle x_{n}} is converging toward the true value S {\displaystyle {\sqrt {S}}} . When the successive differences
Square_root_algorithms
Mathematics used in Ancient China
number theory and trigonometry. Since the Han dynasty, as diophantine approximation being a prominent numerical method, the Chinese made substantial progress
Chinese_mathematics
Finite or infinite ordered list of elements
spectral sequence is a means of computing homology groups by taking successive approximations. Spectral sequences are a generalization of exact sequences, and
Sequence
convergent if the successive approximations produced by the method are guaranteed to converge to a solution when the initial approximation is already close
Local_convergence
Method of data analysis
analysis, but finds additively separable components rather than successive approximations. Given a matrix E {\displaystyle E} , it tries to decompose it
Principal_component_analysis
Act of performing an initial computation before run time
provide coefficients for interpolation algorithms or to initialise successive approximation algorithms. Many attacks on cryptosystems involve precomputation
Precomputation
Lossy image compression algorithm
self-similarity inherent in images; third, it has entropy-coded successive-approximation quantization, and fourth, it is enabled to achieve universal lossless
Embedded zerotrees of wavelet transforms
Embedded_zerotrees_of_wavelet_transforms
Tool in homological algebra
spectral sequence is a means of computing homology groups by taking successive approximations. Spectral sequences are a generalization of exact sequences, and
Spectral_sequence
Falsifiable explanation of natural phenomena
are far too complicated to account for these except through the successive approximations offered by other theories. Albert Einstein (1905) "Zur Elektrodynamik
Scientific_theory
Study of mathematical algorithms for optimization problems
perturbation stochastic approximation (SPSA) method for stochastic optimization; uses random (efficient) gradient approximation. Methods that evaluate
Mathematical_optimization
Device that converts a digital signal into an analog signal
the relative ease of producing equal-valued matched resistors. A successive‑approximation, or serial charge‑redistribution, DAC constructs its output incrementally
Digital-to-analog_converter
Type of associative learning process for behavioral modification
achieves towards reaching a larger goal (this concept is called "successive approximations"). Both psychologists and economists have become interested in
Operant_conditioning
Hypothetical physical concept
precisely accurate. Instead, physics has proceeded by a series of "successive approximations" allowing more and more accurate predictions over a wider and
Theory_of_everything
Field of classical mechanics concerned with the motion of spacecraft
comets, including that which bears his name. Newton's method of successive approximation was formalised into an analytic method by Leonhard Euler in 1744
Orbital_mechanics
Device that compares two voltages or currents
nearly all analog to digital converters (such as flash, pipeline, successive approximation, delta-sigma modulation, folding, interpolating, dual-slope and
Comparator
Marxist theory of history and society
concrete in the course of reasoning". This synthetic method of "successive approximation" moves from the most abstract level to progressively more concrete
Historical_materialism
Study of programming languages via mathematical objects
Similarly we can add (1,1), (2,2), etc., adding one pair each successive approximation because computing factorial(n) requires n+1 calls. In the limit
Denotational_semantics
Consequence affecting an organism's future behavior
to prefer choice in schedules. Shaping is the reinforcement of successive approximations to a desired instrumental response. In training a rat to press
Reinforcement
Existence and uniqueness of solutions to initial value problems
proves that a solution can be obtained by fixed-point iteration of successive approximations. In this context, this fixed-point iteration method is known as
Picard–Lindelöf_theorem
Optimization method
gradient with curvature information. It does so by gradually improving an approximation to the Hessian matrix of the loss function, obtained only from gradient
Broyden–Fletcher–Goldfarb–Shanno algorithm
Broyden–Fletcher–Goldfarb–Shanno_algorithm
Polynomial equation of degree 4
principle, exact root-finding methods. It is also possible to use successive approximation methods which iteratively converge towards the roots, such as the
Quartic_equation
Method for approximating eigenvalues
1–61. doi:10.1515/crll.1909.135.1. MacDonald, J. K. (1933). "Successive Approximations by the Rayleigh-Ritz Variation Method". Phys. Rev. 43 (10): 830–833
Rayleigh–Ritz_method
Number, approximately 1.618
was rediscovered by Johannes Kepler in 1608. The first known decimal approximation of the (inverse) golden ratio was stated as "about 0.6180340 {\displaystyle
Golden_ratio
Approximation for nonlinear optimization
solution, the method is based on solving a sequence of first-order approximations (i.e. linearizations) of the model. The linearizations are linear programming
Successive_linear_programming
Subfield of mathematical optimization
algorithms that quickly rule out large parts of the search space or approximation algorithms must be resorted to instead. Combinatorial optimization is
Combinatorial_optimization
Mixed-signal microcontroller family
(I²C), Analog-to-digital converter (ADC) options: 10/12/14-bit successive-approximation ADC 16/24-bit delta–sigma ADC internal analog comparator with digital
TI_MSP430
Radio receiver with amplifier stages and a detector
unison to the new station. So tuning in a station was a process of successive approximation. Once a station was found, the numbers on the dials were written
Tuned radio frequency receiver
Tuned_radio_frequency_receiver
Topics referred to by the same term
In psychology, shaping (psychology), is the reinforcement of successive approximations to train a type of behavior. In communications, Traffic shaping
Shaping
Greek-American computer scientist
A. Itai, R. P. Kurshan, M. Yannakakis, Timing verification by successive approximation, Information and Computation, v.118 n.1, pp. 142–157, April 1995
Mihalis_Yannakakis
Use of functions that call themselves
corecursive functions – each step generates the new data, such as successive approximation in Newton's method – and terminating this corecursion requires
Recursion_(computer_science)
search). Moreover, not requiring the computation or approximation of function derivatives makes successive parabolic interpolation a popular alternative to
Successive parabolic interpolation
Successive_parabolic_interpolation
Subfield of convex optimization
are important tools for developing approximation algorithms for NP-hard maximization problems. The first approximation algorithm based on an SDP is due
Semidefinite_programming
Multivalued function in mathematics
The W function may be approximated using Newton's method, with successive approximations to w = W(z) (so z = wew) being w j + 1 = w j − w j e w j − z w
Lambert_W_function
Number, approximately 3.14
widely used historical approximations of the constant. Each approximation generated in this way is a best rational approximation; that is, each is closer
Pi
Technique for studying functors
T_{k}F\to \cdots \to T_{1}F\to T_{0}F,} and can be thought of as "successive approximations", just as in a Taylor series one can progressively discard higher
Calculus_of_functors
Theory of learning and behaviour
explanation of the acquisition of new responses relied on the process of successive approximation, which required multiple trials, reinforcement for components of
Social_learning_theory
Theorem in geometric number theory
1\right\}.} Let Γ be a lattice in Rn. The successive minima of K or g on Γ are defined by setting the k-th successive minimum λk to be the infimum of the numbers
Minkowski's_second_theorem
Sub-field of computer science
may be non-manifold. Since surfaces are not finite, discrete digital approximations are used. Polygonal meshes (and to a lesser extent subdivision surfaces)
Computer graphics (computer science)
Computer_graphics_(computer_science)
Description of limiting behavior of a function
near a specified value. An example of asymptotic analysis is function approximation. For example, the function y ~ ( x ) = x {\textstyle {\widetilde {y}}(x)=x}
Asymptotic_analysis
Estimation of orbits of objects
comets, including that which bears his name. Newton's method of successive approximation was formalised into an analytic method by Euler in 1744, whose
Orbit_determination
French mathematician (1809–1882)
ordinary differential equations of the second order involving successive approximations, now attached to the name of Émile Picard, who gave a more general
Joseph_Liouville
English polymath (1642–1727)
accepted propositions to guide research, enabling the method of successive approximations where deviations drive the creation of more accurate models. This
Isaac_Newton
Optimization algorithm
in 1956. In each iteration, the Frank–Wolfe algorithm considers a linear approximation of the objective function, and moves towards a minimizer of this linear
Frank–Wolfe_algorithm
Method for computing radiation
The discrete dipole approximation (DDA), also known as the coupled dipole approximation, is a numerical method for computing the scattering and absorption
Discrete_dipole_approximation
Application of respondent and operant conditioning to change behavior
behavior into the target behavior by differentially reinforcing successive approximations of the target behavior. When the learner emits a response that
Applied_behavior_analysis
Number system extending the rational numbers
practical computations, as allowing building p-adic integers by successive approximations. For example, for computing the p-adic (multiplicative) inverse
P-adic_number
Polish-German Marxist theorist (1881–1950)
economic crisis, based on what Grossman termed Marx's method of "successive approximation". Grossman argued against both social democratic "neo-harmonists"
Henryk_Grossman
8-bit microcontroller family by Infineon
being XRAM. The analog-to-digital converter module (ADC) uses the successive approximation method to convert analog input values (voltages) to discrete digital
XC800_family
Mathematical optimization problem restricted to integers
Tardos, Éva (1987-03-01). "An application of simultaneous diophantine approximation in combinatorial optimization". Combinatorica. 7 (1): 49–65. doi:10
Integer_programming
Overview of and topical guide to electronics
History of television Analog-to-digital converters (ADC) Aliasing Successive approximation ADC Dual-slope ADC Quantization Sensor resolution Sampling Delta-sigma
Outline_of_electronics
Theorem regarding the existence of a solution to a differential equation
incorrect proof. In 1890 he published a new correct proof using successive approximations. Let D {\displaystyle D} be an open subset of R × R {\displaystyle
Peano_existence_theorem
Integral inequality
t\in [0,T].} J. LaSalle (July 1949). "Uniqueness theorems and successive approximations". Annals of Mathematics. 50 (3): 722–730. doi:10.2307/1969559
Bihari–LaSalle_inequality
Type of calculus problem
construction is sometimes called "Picard's method" or "the method of successive approximations". This version is essentially a special case of the Banach fixed
Initial_value_problem
Behavior of projectiles in flight
the trajectory differential equations of motion. A sequence of successive approximation drag coefficient functions is generated that converge rapidly to
External_ballistics
Method of solving linear programming problems
Golden-section search Powell's method Line search Nelder–Mead method Successive parabolic interpolation Gradients Convergence Trust region Wolfe conditions
Big_M_method
SUCCESSIVE APPROXIMATION
SUCCESSIVE APPROXIMATION
Surname or Lastname
English (Lancashire and Yorkshire)
English (Lancashire and Yorkshire) : habitational name from a place in Lancashire now known as Oakenbottom. The history of the place name is somewhat confused, but it is probably composed of the Old English elements Ç£cen or Äcen ‘oaken’ + botme ‘broad valley’. During the Middle Ages this name became successively Eakenbottom and Ickenbottom, the first element becoming associated with the dialect word hicken or higgen ‘mountain ash’ or the personal name Higgin.
Boy/Male
Biblical
Ravisher, succession of miracles'.
Girl/Female
Hindu
Enthusiastic, Talented person, Like to live with good characters, They dont fear for anything, Successive person & angry when irritated
Girl/Female
Tamil
Succession, Repetition
Girl/Female
Tamil
Shraviya | à®·à¯à®°à®µà®¿à®¯à®¾
Enthusiastic, Talented person, Like to live with good characters, They dont fear for anything, Successive person & angry when irritated
Shraviya | à®·à¯à®°à®µà®¿à®¯à®¾
Girl/Female
Hindu
Succession, Repetition
Biblical
ravishers; succession of miracles
Boy/Male
Biblical
Order, succession, mountainous.
Surname or Lastname
Scottish
Scottish : nickname for a fair-haired person, from Gaelic bà n ‘white’, ‘fair’. This is a common name in the Highlands, first recorded in Perth in 1324.Northern English : nickname meaning ‘bone’, probably bestowed on an exceptionally tall, lean man, from Old English bÄn ‘bone’. In northern Middle English -Ä- was preserved, whereas in southern dialects (which later became standard), it was changed to -Å-.Northern English : nickname for a hospitable person, from northern Middle English beyn, bayn ‘welcoming’, ‘friendly’ (Old Norse beinn ‘straight’, ‘direct’).English and French : metonymic occupational name for an attendant at a public bath house, from Middle English, Old French baine ‘bath’.French : topographic name for someone who lived by a Roman bath, from Old French baine ‘bath’ or a habitational name from a place in Ille-et-Vilaine, named with this word.Possibly an altered spelling of North German Behn.George Luke Scobie Bain (1836–91) was born in Stirling, Scotland. He ran away to sea and successively lived and worked in Portland, ME, Chicago, and St. Louis, where he was a miller and flour merchant and a very prominent citizen.
Biblical
order; succession; mountainous
Boy/Male
Indian, Tamil
Enthusiastic; Talented Person; Like to Live with Good Characters; Successive Person; Angry when Irritated
SUCCESSIVE APPROXIMATION
SUCCESSIVE APPROXIMATION
Boy/Male
Muslim
Smiling, Happy
Female
Spanish
 Feminine form of Spanish Marcelino, MARCELINA means "defense" or "of the sea." Compare with another form of Marcelina.
Boy/Male
Arabic, Muslim
Worshipper of God; God Knows
Boy/Male
Indian
Eloquent
Girl/Female
Australian, Latin
Health; Love; Form of Valentina
Surname or Lastname
English
English : patronymic from a short form of the personal name Simon.Jewish (from Ukraine; Symes, Symis) : metronymic from the Yiddish female personal name Sime (see Sima).Benjamin Syms was a planter and philanthropist, probably the earliest inhabitant of any North American colony to bequeath property for the establishment of a free school. His name was spelled variously as Sims, Simes, Sym, Symms, Syms, and Symes. He was probably born in England, but was reported in the VA census of 1624/25 as age 33 and living at Basse’s Choice in what was later known as Isle of Wight County.
Girl/Female
Biblical
Heifer, chariot, round.
Boy/Male
Hindu
Lord Shiva
Boy/Male
Hindu, Indian, Marathi
Heal; Budding
Girl/Female
Hindu, Indian
Beautiful Eyes Wisdom
SUCCESSIVE APPROXIMATION
SUCCESSIVE APPROXIMATION
SUCCESSIVE APPROXIMATION
SUCCESSIVE APPROXIMATION
SUCCESSIVE APPROXIMATION
n. & v.
Arranged by successive steps or degrees; graduated.
n.
The quality or state of being successive.
a.
Subalternate; successive.
n.
The person succeeding to rank or office; a successor or heir.
a.
Characterized by a shaking motion, especially an up and down movement, and not merely tremulous oscillation; as, the succussive motion in earthquakes.
adv.
In a successive manner.
a.
Following in a train; succeeding one another in a regular order; successive; uninterrupted in course or succession; with no interval or break; as, fifty consecutive years.
n.
The right to enter upon the possession of the property of an ancestor, or one near of kin, or one preceding in an established order.
n.
An order or series of descendants; lineage; race; descent.
n.
A publication appearing in a series or succession of part; a tale, or other writing, published in successive numbers of a periodical.
n.
A series of persons or things according to some established rule of precedence; as, a succession of kings, or of bishops; a succession of events in chronology.
n.
The power or right of succeeding to the station or title of a father or other predecessor; the right to enter upon the office, rank, position, etc., held ny another; also, the entrance into the office, station, or rank of a predecessor; specifically, the succeeding, or right of succeeding, to a throne.
a.
Succeeding by turns; successive.
a.
Having or giving the right of succeeding to an inheritance; inherited by succession; hereditary; as, a successive title; a successive empire.
a.
Following in order or in uninterrupted course; coming after without interruption or interval; following one after another in a line or series; consecutive; as, the successive revolution of years; the successive kings of Egypt; successive strokes of a hammer.
n.
Succession.
n.
The act of succeeding, or following after; a following of things in order of time or place, or a series of things so following; sequence; as, a succession of good crops; a succession of disasters.
a.
Additional.
n. pl.
Prayers offered up for nine successive days.
n.
Regular order; succession.