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Function of propagation delay and Doppler frequency
In pulsed radar and sonar signal processing, an ambiguity function is a two-dimensional function of propagation delay τ {\displaystyle \tau } and Doppler
Ambiguity_function
Association of one output to each input
mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the
Function_(mathematics)
Type of uncertainty of meaning where several interpretations are possible
multiple possible meanings. The concept of ambiguity is generally contrasted with vagueness. In ambiguity, multiple distinct interpretations compete because
Ambiguity
Part of signal analysis and signal processing
relationship between the Wigner distribution function, the auto-correlation function and the ambiguity function can then be illustrated by the following figure
Bilinear time–frequency distribution
Bilinear_time–frequency_distribution
Proposed aspect of personality
ignore the ambiguity by rigidly adhering to inaccurate, simplistic interpretations. In contrast, an individual who is tolerant of ambiguity is more likely
Ambiguity tolerance–intolerance
Ambiguity_tolerance–intolerance
Quadratic time-frequency representation
_{\mathbb {R} }x(t)e^{-i2\pi ft}\,dt,} the centered correlation and ambiguity function are R x ( u , τ ) = x ( u + τ / 2 ) x ∗ ( u − τ / 2 ) , {\displaystyle
Choi–Williams distribution function
Choi–Williams_distribution_function
Sentences with structures permitting multiple possible interpretations
Syntactic ambiguity, also known as structural ambiguity, amphiboly, or amphibology, is characterized by the potential for a sentence to yield multiple
Syntactic_ambiguity
Points with distinct displacement vectors
pair of dots are distinct. This results in an ideal "thumbtack" auto-ambiguity function, making the arrays useful in applications such as sonar and radar
Costas_array
Defines whether uppercase and lowercase letters are treated as distinct
United Nations, for example, or something with no ambiguity regarding capitalization and ambiguity between two or more terms cut down by capitalization
Case_sensitivity
Topics referred to by the same term
(or reciprocal) of the trigonometric function cosine (see above for ambiguity)[citation needed] Inverse function sec−1 (disambiguation) sin−1 (disambiguation)
Cos-1
Topics referred to by the same term
(or reciprocal) of the trigonometric function tangent (see above for ambiguity)[citation needed] Because of ambiguity, the notation arctan(x) or (tan(x))−1
Tan-1
Modulation, Pulse compression, Spread spectrum, Transmit diversity, Ambiguity function, Autocorrelation, and Cross-correlation. Hao He, Jian Li, and Petre
Waveform_shaping
Radar technique
Range ambiguity resolution is a technique used with medium pulse-repetition frequency (PRF) radar to obtain range information for distances that exceed
Range_ambiguity_resolution
Syntactic ambiguity in C++
The most vexing parse is a counterintuitive ambiguity resolution in C++. In certain situations, the C++ grammar cannot distinguish between initializing
Most_vexing_parse
physics create performance constraints that cannot be altered. The ambiguity function associated with pulse compression and scalloping associated with moving
Envelope_(radar)
Method of communication
and get them to visually relate to the argument that is at hand. Ambiguity function: Visuals can be used to interpret different meanings without having
Visual_communication
Mathematical concept
nothing to do with the inverse function of f. The notation f⟨−1⟩ might be used for the inverse function to avoid ambiguity with the multiplicative inverse
Inverse_function
Gauge fixing ambiguity
perhaps none at all. This is called a Gribov ambiguity (named after Vladimir Gribov). Gribov ambiguities lead to a nonperturbative failure of the BRST
Gribov_ambiguity
Dutch geodesist (born 1957)
LAMBDA (Least-squares AMBiguity Decorrelation Adjustment) method, which has become the standard technique for solving integer ambiguities in GNSS carrier‑phase
Peter_Teunissen
Techniques and methods in signal processing
= S x ( t , f ) {\displaystyle =S_{x}(t,f)} Relation between the ambiguity function and the ACF E [ A X ( η , τ ) ] = ∫ − ∞ ∞ E [ x ( t + τ / 2 ) x ∗
Time–frequency_analysis
Literary device in Tolkien's fiction
Tolkien's ambiguity, in his Middle-earth fiction, in his literary analysis of fantasy, and in his personal statements about his fantasy, has attracted
Tolkien's_ambiguity
Nearest integers from a number
Floor and ceiling functions In mathematics, the floor function is the function that takes a real number x as input and returns the greatest integer less
Floor_and_ceiling_functions
Variables that are Fourier transform duals
this case, the two dimensional function of doppler and range is known as a radar ambiguity function or radar ambiguity diagram. Surface energy: γ dA (γ
Conjugate_variables
Extension of the factorial function
the ambiguity is the Bohr–Mollerup theorem, which shows that f ( x ) = Γ ( x ) {\displaystyle f(x)=\Gamma (x)} is the unique interpolating function for
Gamma_function
Topics referred to by the same term
Gender ambiguity may refer to: Androgyny – Having both male and female characteristics Gender fluidity – Non-fixed gender identity Gender nonconformity –
Gender_ambiguity
Radar system that does not transmit
removal of unwanted structures in digital signals to improve the radar ambiguity function or even complete reconstruction of the reference signal from the received
Passive_radar
Technique in digital communications
in the modulator). To resolve 180° ambiguity only, bits are used as these symbols. When dealing with 90° ambiguity, pairs of bits are used, and triplets
Differential_coding
Order-preserving mathematical function
In mathematics, a monotonic function (or monotone function) is a function between ordered sets that preserves or reverses the given order. This concept
Monotonic_function
Mapping of a known quantity to an unknown entity
capability to find, retrieve, report, change, or delete specific data without ambiguity. This applies especially to information stored in databases. In database
Identification_(information)
Channel access method used by various radio communication technologies
code is a pseudo-random code in the time domain that has a narrow ambiguity function in the frequency domain, unlike other narrow pulse codes. In CDMA
Code-division_multiple_access
Topics referred to by the same term
trigonometric function secant (see above for ambiguity)[citation needed] Second (time) Seconds of arc, a unit for angle measurement Inverse function cos−1 (disambiguation)
Sec-1
Field of depth extension
also correct optical aberration. The mask was developed by using the ambiguity function and the stationary phase method The technique was pioneered by radar
Wavefront_coding
Italian professor, engineer and inventor
linear time-varying systems and introduced the product high-order ambiguity function, an algorithm useful to estimate the parameters of multi-component
Sergio_Barbarossa
Radar signal processing
possibilities for PRF B. This frequency ambiguity resolution signal processing technique determines true velocity. Ambiguity resolution is typically implemented
Frequency ambiguity resolution
Frequency_ambiguity_resolution
Topics referred to by the same term
of y, the compositional inverse of the trigonometric function cosecant (see below for ambiguity) csc−1x = csc−1(x), sometimes interpreted as (csc(x))−1
Csc-1
Inverse functions of sin, cos, tan, etc.
inverse function convention using a superscript in brackets is unambiguous but not commonly used: sin[−1](x), cos[−1](x), tan[−1](x). The ambiguity is mitigated
Inverse trigonometric functions
Inverse_trigonometric_functions
Topics referred to by the same term
(or reciprocal) of the trigonometric function sine (see above for ambiguity)[citation needed] Inverse function csc−1 (disambiguation) cos−1 (disambiguation)
Sin-1
Quadratic time-frequency representation
Cohen's class distribution function Choi-Williams distribution function Wigner distribution function Ambiguity function Short-time Fourier transform
Cone-shape distribution function
Cone-shape_distribution_function
Topics referred to by the same term
of y, the compositional inverse of the trigonometric function cotangent (see below for ambiguity) cot−1x = cot−1(x), sometimes interpreted as (cot(x))−1
Cot-1
British mathematician (1919–2018)
fundamental importance in radar waveform design, including the Woodward ambiguity function, the standard tool for waveform and matched filter analysis". In retirement
Philip_Woodward
Non-cryptographic hash function
Fowler–Noll–Vo (or FNV) is a non-cryptographic hash function created by Glenn Fowler, Landon Curt Noll, and Kiem-Phong Vo. The basis of the FNV hash algorithm
Fowler–Noll–Vo_hash_function
Signal processing
is the symmetrical ambiguity function. The characteristic function may be appropriately called the generalized ambiguity function. To obtain that relationship
Transformation between distributions in time–frequency analysis
Transformation_between_distributions_in_time–frequency_analysis
Operation on mathematical functions
Schröder's equation. Iterated functions and flows occur naturally in the study of fractals and dynamical systems. To avoid ambiguity, some mathematicians[citation
Function_composition
Modification of frequency and time distributions of signals, as used in computer graphics
Short-time Fourier transform Wigner distribution function Ambiguity function Cohen's class distribution function J.J. Ding, "time-frequency analysis and wavelet
Motions in the time-frequency distribution
Motions_in_the_time-frequency_distribution
Jewish Argentine psychoanalyst and Marxist (1922-1977)
nucleus. It transforms "confusion into contradiction and ambiguity into conflict." Ambiguity is a form of primitive undifferentiation. Undifferentation
José_Bleger
Woods – INTERCAL, Colossal Cave Adventure Philip Woodward – ambiguity function, sinc function, comb operator, rep operator, ALGOL 68-R Steve Wozniak – Breakout
List_of_programmers
Target set of a mathematical function
range is sometimes ambiguously used to refer to either the codomain or the image of a function. A codomain is part of a function f if f is defined as
Codomain
Logarithm to the base of the mathematical constant e
the argument to the logarithm is not a single symbol, so as to prevent ambiguity. The natural logarithm of x is the power to which e would have to be raised
Natural_logarithm
Indication of rate and sense of rotation
complex-valued function: whose corollary is: In Eq.1 the second term is an addition to cos ( ω t ) {\displaystyle \cos(\omega t)} that resolves the ambiguity. In
Negative_frequency
1980 film by Stanley Kubrick
well received", and also after Warner Brothers had complained about its ambiguity and length. The scene when Jack writes obsessively on the typewriter "All
The_Shining_(film)
Country in Northwestern Europe
a constant evolution of role and function. Local government in England is complex, with the distribution of functions varying according to local arrangements
United_Kingdom
Expression whose definition assigns it a unique interpretation
the expression is said to be not well defined, ill-defined or ambiguous. A function is well defined if it gives the same result when the representation
Well-defined_expression
Software programming optimization technique
programs. It works by storing the results of expensive calls to pure functions, so that these results can be returned quickly should the same inputs
Memoization
Former research centre in Malvern, Worcestershire, England
wrote a monograph on the topic. His results included the Woodward Ambiguity Function, "the standard tool for waveform and matched filter analysis". He
Royal_Radar_Establishment
Paradox in decision theory
paradox in his 1961 paper, "Risk, Ambiguity, and the Savage Axioms". It is generally taken to be evidence of ambiguity aversion, in which a person tends
Ellsberg_paradox
Web browser developed by Google
applications as extensions to the browser, although most of these extensions function simply as links to popular web pages or games, some of the apps, like Springpad
Google_Chrome
Tabular arrangement of the chemical elements
lanthanides. IUPAC recommends the names lanthanoids and actinoids to avoid ambiguity, as the -ide suffix typically denotes a negative ion; however lanthanides
Periodic_table
ACE, ALGOL 60, Ada (programming language) Philip Woodward – ambiguity function, sinc function, comb operator, rep operator, ALGOL 68-R Beatrice Helen Worsley
List_of_computer_scientists
Words supplying mainly grammatical information, rather than content information
In linguistics, function words (also called functors) are words that have little lexical meaning or have ambiguous meaning and express grammatical relationships
Function_word
Literary subgenre
characterizations frame relationships in which emotional intensity and ethical ambiguity are central to both characterization and narrative development. A defining
Dark_romance
Audio signal processing technique
degradation, as was mentioned above. Some writers favour using the ambiguity function as a way of assessing the Doppler tolerance of chirps. Others causes
Chirp_compression
Probability distribution
real-valued random variable. The general form of its probability density function is f(x)=12πσ2exp(−(x−μ)22σ2). The parameter μ is the mean or expectation
Normal_distribution
President of Brazil (2003–2011; since 2023)
deforestation in 2009 was a function of the 2008 financial crisis. Paulo Adario of Greenpeace said that it was a function not of efforts to protect the
Luiz_Inácio_Lula_da_Silva
Point of interest for complex multi-valued functions
points. Algebraic branch points most commonly arise from functions in which there is an ambiguity in the extraction of a root, such as solving the equation
Branch_point
interferometry is that systems can be designed that do not suffer from the 2 pi ambiguity of coherent interferometry, and as seen in Fig. 1, which scans a 180 μm × 140 μm × 10 μm
White_light_scanner
American crime drama TV series
violent antihero and through the show's use of desert landscapes, moral ambiguity, and masculine identity. J. J. Clark similarly places the series within
Breaking_Bad
Type of mathematical expression
indeterminate(s) do not appear at each occurrence of the polynomial. The ambiguity of having two notations for a single mathematical object may be formally
Polynomial
Evaluation of a function on its argument
In mathematics, function application (or evaluation) is the act of taking a function and an input from its domain to obtain the corresponding value from
Function_application
Country in the Caribbean
with transportation paid by an American philanthropic group similar in function to the American Colonization Society and its efforts in Liberia. Many found
Haiti
1741 sacred oratorio by Handel
largely unheeded, that "the composer may be spared from his friends, and the function of writing or selecting 'additional orchestral accompaniments' exercised
Messiah_(Handel)
American actor and filmmaker (born 1930)
made his debut as a producer in 1982 with Firefox, though he had been functioning as uncredited producer on all of his Malpaso Company films since Hang
Clint_Eastwood
Most populous city in Illinois, US
centennial of statehood for Illinois. Finally, two fountains near the Loop also function as monumental works of art: Plensa's Crown Fountain as well as Burnham
Chicago
Computational operation
{\displaystyle n\neq 0} satisfy the following conditions: This still leaves a sign ambiguity if the remainder is non-zero: two possible choices for the remainder occur
Modulo
Performing order of mathematical operations
for parentheses around the radicand. Other functions use parentheses around the input to avoid ambiguity. The parentheses can be omitted if the input
Order_of_operations
Country in Eurasia from 1922 to 1991
council (Russian: совет). In the Russian Empire, the State Council, which functioned from 1810 to 1917, was referred to as a Council of Ministers. The soviets
Soviet_Union
Country in West Asia
community administered all personal status laws and performed certain civil functions as well. In 1831, Ibrahim Pasha of Egypt renounced his loyalty to the
Syria
Head of state and government
removal, death, resignation, or inability. Under this clause, there was ambiguity about whether the vice president would actually become president in the
President of the United States
President_of_the_United_States
Country in Southeast Asia and Oceania
regency/city areas. Until its termination in 2000, the military's "dual function" (dwifungsi) doctrine provided a basis for involvement in political affairs
Indonesia
Sentence that starts in a way that a reader's likely interpretation will be wrong
the readers which horse is under discussion. Such examples of initial ambiguity resulting from a "reduced relative with [a] potentially intransitive verb"
Garden-path_sentence
Uniform distribution on an interval
sign function, which has no such ambiguity. Any probability density function integrates to 1 , {\displaystyle 1,} so the probability density function of
Continuous uniform distribution
Continuous_uniform_distribution
State in Southwest India
Panchayats at the district level and Gram Panchayats at the village level, functioning under the Goa Panchayat Raj Act, 1994. Urban areas are governed by municipal
Goa
1791 amendment protecting the right to keep and bear arms
states, the militia was available for military operations, but its biggest function was to police the slaves. According to Dr Carl T. Bogus, Professor of Law
Second Amendment to the United States Constitution
Second_Amendment_to_the_United_States_Constitution
President of France from 2007 to 2012
had uttered. Eon was arrested for causing offence to the presidential function, and the prosecutor, who in France indirectly reports to the president
Nicolas_Sarkozy
Instantaneous rate of change (mathematics)
denominator, which removes ambiguity when working with multiple interrelated quantities. The derivative of a composed function can be expressed using the
Derivative
Former British radar research organisation
a monograph on the topic. His early results included the Woodward Ambiguity Function, "the standard tool for waveform and matched filter analysis". Member
Telecommunications Research Establishment
Telecommunications_Research_Establishment
Programming mechanism
science, function composition is an act or mechanism to combine simple functions to build more complex ones. Like the usual composition of functions in mathematics
Function composition (computer science)
Function_composition_(computer_science)
Empress of Russia from 1762 to 1796
financial institutions. A key principle was responsibilities defined by function. It was instituted by the Fundamental Law of 7 November 1775. Vaizemski's
Catherine_the_Great
American Founding Father (died 1804)
public debt, but provide a large, firm, and elastic money supply for the functioning of normal businesses and usual economic development, among other differences
Alexander_Hamilton
Line of smartphones by Apple
able to submit new apps or updates. [...] However, your apps will still function for users who have already installed or downloaded them, and you will still
IPhone
Mathematical property excluding equality
is being used. The use of such terms and phrases helps avoid possible ambiguity and confusion. For instance, when reading the phrase "x is positive",
Strict
American multinational technology company
is an open-sourced platform that can be incorporated to improve the AI function across models used by scientists, businesses and local governments. On
Nvidia
Unproven computational hardness assumption
algorithms for larger k take exponential time, with the base of the exponential function depending on k. For instance, the WalkSAT probabilistic algorithm can solve
Exponential_time_hypothesis
Third planet from the Sun
ultraviolet solar radiation, permitting life on land. Other atmospheric functions important to life include transporting water vapor, providing useful gases
Earth
American astronaut (1930–2012)
Moon-Landing Quote: Implications for Speech Perception, Function Word Reduction, and Acoustic Ambiguity". PLOS ONE. 11 (9): 1–11. Bibcode:2016PLoSO..1155975B
Neil_Armstrong
Function whose domain is the positive integers
theory, an arithmetic, arithmetical, or number-theoretic function is generally any function whose domain is the set of positive integers and whose range
Arithmetic_function
Canadian rapper and singer (born 1986)
open History, a 2,500 convertible capacity live-entertainment and general function venue in Toronto. It was in development for over three years and is situated
Drake_(musician)
American fantasy drama TV series (2011–2019)
characters; writers quoted attributed this success to the rich detail, moral ambiguity, sexual explicitness and epic scale of the series and novels. The previous
Game_of_Thrones
Direct descendants of Vulgar Latin
monosyllables that end in a e o as es os, to distinguish them from unstressed function words: chá "tea", más "bad (fem. pl.)", sé "seat (of government)", dê "give
Romance_languages
Chemical element with atomic number 1 (H)
incorrectly, for H+ in natural abundance. In many contexts this creates no ambiguity and it is likely that this usage will continue. Gurov, Y. B.; Aleshkin
Hydrogen
Data type simulating a pointer with additional features
information. X* ambiguousFunction(); // What should be done with the result? Traditionally, naming conventions have been used to resolve the ambiguity, which is
Smart_pointer
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AMBIGUITY FUNCTION
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AMBIGUITY FUNCTION
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