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Mathematical function common in physics
The stretched exponential function f β ( t ) = e − t β {\displaystyle f_{\beta }(t)=e^{-t^{\beta }}} is obtained by inserting a fractional power law into
Stretched exponential function
Stretched_exponential_function
Phenomenon in statistics where highest-ranked data points are outliers
include the power-law distribution, that is a basis for the stretched exponential function, and parabolic fractal distribution. Laherrere and Sornette
King_effect
Special function defined by an integral
In mathematics, the exponential integral Ei {\displaystyle \operatorname {Ei} } is a special function on the complex plane. It is defined as one particular
Exponential_integral
Statistical distribution
a power law distribution, or less well-known ones such as a stretched exponential function or parabolic fractal distribution, at least approximately for
Rank–size_distribution
Relaxation model
charge response corresponds to the stretched exponential function or the Kohlrausch–Williams–Watts (KWW) function, for small time arguments. Cole–Cole
Cole–Cole_equation
Model in electromagnetism
1967. Depending on application, the Fourier transform of the stretched exponential function can be a viable alternative that has one parameter less. For
Havriliak–Negami_relaxation
Extension of the factorial function
The gamma function is related to the stretched exponential function. For instance, the moments of that function are ⟨ τ n ⟩ ≡ ∫ 0 ∞ t n − 1 e − ( t τ
Gamma_function
Continuous probability distribution
distribution. Its complementary cumulative distribution function is a stretched exponential function. The Weibull distribution is related to a number of other
Weibull_distribution
also a characteristic feature of the Fourier transform of the stretched exponential function it has been considered as an approximation of the latter, although
Cole–Davidson_equation
Electrically insulating substance able to be polarised by an applied electric field
asymmetric broadening. Kohlrausch–Williams–Watts function Fourier transform of stretched exponential function. Curie–von Schweidler law This shows the response
Dielectric
British biophysicist, material scientist, and academic
is the co-discoverer of the Kohlrausch-Williams-Watts [KWW] stretched-exponential function for modelling molecular-relaxation processes in condensed media
David_C._Watts
Topics referred to by the same term
refer to: The Kohlrausch-Williams-Watts function is the Fourier transform of the stretched exponential function Katosi Water Works, water treatment facility
KWW
List of scientists who are Christians
Science at the University of Manchester: co-discoverer of the KWW stretched-exponential function for relaxation phenomena in condensed media and expert on photopolymerised
List of Christians in science and technology
List_of_Christians_in_science_and_technology
Longest recorded life span
maximum human lifespan to be around 125 years using a modified stretched exponential function for human survival curves. In another study, researchers claimed
Maximum_life_span
Distribution of variables which satisfies a stability property under linear combinations
distribution function will be real. In the simplest case β = 0 {\displaystyle \beta =0} , the characteristic function is just a stretched exponential function; the
Stable_distribution
Type of electrode
process. The lifetime of oxide cathodes can be evaluated with a stretched exponential function. The survivability of electron emission sources is significantly
Hot_cathode
German physicist
Kohlrausch introduced the relaxation phenomena, and used the stretched exponential function to explain relaxation effects of a discharging Leyden jar (capacitor)
Rudolf_Kohlrausch
Probability distribution
distributions not only forms an exponential family (EF), but in fact forms a natural exponential family (NEF) with quadratic variance function (NEF-QVF). Many properties
Normal_distribution
Kind of numerical parameter of a parametric family of probability distributions
distribution Dagum distribution Erlang distribution ExGaussian distribution Exponential power distribution Fréchet distribution Gamma distribution Generalized
Shape_parameter
Functional relationship between two quantities
1137/070710111. S2CID 9155618. Laherrère, J.; Sornette, D. (1998). "Stretched exponential distributions in nature and economy: "fat tails" with characteristic
Power_law
Number with a real and an imaginary part
be regarded as its norm.] However for another inverse function of the complex exponential function (and not the above defined principal value), the branch
Complex_number
Formula for temperature dependence of rates of chemical reactions
tests of the Arrhenius law. Another common modification is the stretched exponential form[citation needed] k = A exp [ − ( E a R T ) β ] , {\displaystyle
Arrhenius_equation
Hash function that is suitable for use in cryptography
secure cryptographic hash functions but do not usually have a strong connection to practical security. For example, an exponential-time algorithm can sometimes
Cryptographic_hash_function
Fundamental theorem in probability theory and statistics
for some function of t {\textstyle t} that goes to zero more rapidly than t 2 / n {\textstyle t^{2}/n} . By the limit of the exponential function ( e x =
Central_limit_theorem
Mapping involving integration between function spaces
maps a function from its original function space into another function space via integration, where some of the properties of the original function might
Integral_transform
Mathematical transform that expresses a function of time as a function of frequency
conjugating the complex-exponential kernel of both the forward and the reverse transform. The signs must be opposites. A measurable function f : R → C {\displaystyle
Fourier_transform
Theorem of convex functions
particular importance in statistical physics when the convex function is an exponential, giving: e E [ X ] ≤ E [ e X ] , {\displaystyle e^{\operatorname
Jensen's_inequality
Trachenko, K.; Zaccone, A. (2021-06-14). "Slow stretched-exponential and fast compressed-exponential relaxation from local event dynamics". Journal of
List of nonlinear ordinary differential equations
List_of_nonlinear_ordinary_differential_equations
Algebraic structure in linear algebra
natural exponential function. The relation of two vector spaces can be expressed by linear map or linear transformation. They are functions that reflect
Vector_space
Physical system that responds to a restoring force proportional to displacement
2 , {\textstyle \omega _{1}=\omega _{0}{\sqrt {1-\zeta ^{2}}},} the exponential decay of the underdamped harmonic oscillator is given by λ = ω 0 ζ .
Harmonic_oscillator
also lead to other statistics such as power-law distributions or stretched exponentials. One needs to note here that the word super here is short for superposition
Superstatistics
Numerical technique
which it breaks down, suffering from unavoidable reflections or even exponential growth. One caveat with perfectly matched layers is that they are only
Perfectly_matched_layer
Statistical property quantifying how much a collection of data is spread out
variability, scatter, or spread) is the extent to which a distribution is stretched or squeezed. Common examples of measures of statistical dispersion are
Statistical_dispersion
Value that appears most often in a set of data
random variable, the mode is the value x at which the probability mass function P(X) takes its maximum value, i.e., x = argmaxxi P(X = xi). In other words
Mode_(statistics)
Numerical method for solving physical or engineering problems
variable size h and polynomial degree p to achieve exceptionally fast, exponential convergence rates. The hpk-FEM combines adaptively elements with variable
Finite_element_method
Fitting an approximating function to data
and image processing, to smooth a data set is to create an approximating function that attempts to capture important patterns in the data, while leaving
Smoothing
Continuous probability distribution
in machine learning. The κ-distributions are written as function of the κ-deformed exponential, taking the form f i = exp κ ( − β E i + β μ ) {\displaystyle
Kaniadakis_distribution
Theory of cognition
found that “generalization gradients in both series were fitted by exponential functions, supporting Shepard’s law”. Cheng’s research suggested that Shepard’s
Universal law of generalization
Universal_law_of_generalization
Computation model defining an abstract machine
This is because the number of bits required to represent the outcome is exponential in the input size. However, if an algorithm runs in polynomial time in
Turing_machine
Discrete probability distribution
applying the product limit definition of the exponential function, this reduces to the generating function of the Poisson distribution: lim n → ∞ P ( n
Poisson_distribution
Tissue in the body that is not hardened by ossification
extensibility. This constitutive model cannot be stretched in uni-axial tension beyond a maximal stretch J m {\displaystyle J_{m}} , which is the positive
Soft_tissue
System that regulates the formation of blocks on a blockchain
1007/978-3-540-45146-4_25. ISBN 978-3-540-40674-7. Coelho, Fabien (2005). "Exponential memory-bound functions for proof of work protocols". Cryptology ePrint Archive, Report
Proof_of_work
Earliest theoretical cosmological structures
paradigm, the exponential growth of the scale factor during inflation caused quantum fluctuations of the inflaton field to be stretched to macroscopic
Primordial_fluctuations
Mechanical oscillations about an equilibrium point
spring is stretched. The formulas for these values can be found in the references. The major points to note from the solution are the exponential term and
Vibration
Mathematics problem
where the speed of the ant is decreasing exponentially while the length of the rope is increasing exponentially and the ant will also reach the end of the
Ant_on_a_rubber_rope
Collection of random variables
a sample function of a stochastic process X {\displaystyle X} is a continuous function of t ∈ T {\displaystyle t\in T} ; a sample function of a stochastic
Stochastic_process
Mathematical description of mixing substances
with exponential decay rate” if ρt < e−δt for some δ > 0. For a stationary Markov process, the coefficients ρt may either decay at an exponential rate
Mixing_(mathematics)
interpolation Newton's method: finds zeros of functions with calculus Ridder's method: 3-point, exponential scaling Secant method: 2-point, 1-sided Hybrid
List_of_algorithms
Decrease of the porosity of a sediment under the lithostatic pressure exerted by loading
especially in sedimentary basins, the porosity profiles often show an exponential decrease, called Athy's law as first shown by Athy in 1930. A mathematical
Compaction_(geology)
Scientific instrument used to measure fluid flow (rheology)
at an exponentially increasing velocity while measuring force and diameter as a function of time and position. By deforming at an exponentially increasing
Rheometer
Continuous probability distribution
0 {\displaystyle \alpha >0} and ν = 1 {\displaystyle \nu =1} ; Stretched Exponential distribution, when α > 0 {\displaystyle \alpha >0} and ν = 1 / α
Kaniadakis_Gamma_distribution
Type of cryptographic software obfuscation
obfuscator to a collision-resistant hash function family, even with a trapdoor permutation, except with an exponential loss of security. Black-box obfuscation
Indistinguishability obfuscation
Indistinguishability_obfuscation
In graph theory, the mathematically simplest spatial network
connection function as opposed to the deterministic one suggested by Gilbert. The example introduced by Waxman was a stretched exponential where two nodes
Random_geometric_graph
Nanotechnology simulation of human organ function
are stretched. Since a vacuum is connected to the side channels, a decrease in pressure will cause the middle channel to expand, thus stretching the porous
Organ-on-a-chip
expansion of external argument For transcendental maps ( for example exponential ) infinity is not a fixed point but an essential singularity and there
External_ray
Theory of rapid universe expansion
inflation, cosmological inflation, or just inflation, is a theory of exponential expansion of space in the very early universe. This enormous expansion
Cosmic_inflation
SPEKE (Simple Password Exponential Key Exchange) is a cryptographic method for password-authenticated key agreement. The protocol consists of little more
SPEKE
Cryptanalytic method for unauthorized users to access data
passwords, passphrases and keys have more possible values, making them exponentially more difficult to crack than shorter ones due to the diversity of characters
Brute-force_attack
List of integrals of exponential functions List of integrals of hyperbolic functions List of integrals of inverse hyperbolic functions List of integrals
Lists_of_mathematics_topics
Cryptographic hash function
provably secure hash functions. It is based on the concept of the fast Fourier transform (FFT). SWIFFT is not the first hash function based on the FFT, but
SWIFFT
Family of cryptographic hash functions
In cryptography, the fast syndrome-based hash functions (FSB) are a family of cryptographic hash functions introduced in 2003 by Daniel Augot, Matthieu
Fast_syndrome-based_hash
Velonia, K.; Loos, D.; Masuo, S.; Cotlet, M.; et al. (2005-02-04). "Stretched exponential decay and correlations in the catalytic activity of fluctuating
Heterogeneous random walk in one dimension
Heterogeneous_random_walk_in_one_dimension
Method of exchanging cryptographic keys
agreement Diffie–Hellman key establishment Diffie–Hellman key negotiation Exponential key exchange Diffie–Hellman protocol Diffie–Hellman handshake Merkle
Diffie–Hellman_key_exchange
Biomechanical paradigm explaining how muscles work
tension and therefore is stretched a finite amount. Because the overall length of the muscle is kept constant, the stretching of the series element can
Hill's_muscle_model
synthesis in the next cycle, causing a chain reaction that results in the exponential growth of the total number of copies in the reaction mixture. Amplification
Glossary of cellular and molecular biology (M–Z)
Glossary_of_cellular_and_molecular_biology_(M–Z)
Idea that small causes can have large effects
demonstrates the two key features of chaos – stretching and folding: the factor 2n shows the exponential growth of stretching, which results in sensitive dependence
Butterfly_effect
Concept involving online bot activity
maneuvered ourselves into. Decoupled, proliferated, and in a state of exponential metastasis. — Thomas Sommerer Facebook includes an option to provide
Dead_Internet_theory
String-searching algorithm
= 1⁄2(Fc+2 − 1)−1 = O( φ {\displaystyle \varphi } −c) going to zero exponentially quickly as c increases. The algorithm is considered fairly efficient
Two-way string-matching algorithm
Two-way_string-matching_algorithm
Simple model of a polymer
polymer. The polymer's orientation correlation function can then be solved for, and it follows an exponential decay with decay constant 1/P: ⟨ t ^ ( s ) ⋅
Worm-like_chain
Concept in calculus of variations
a functional (a functional in this sense is a function that acts on functions) to a change in a function on which the functional depends. In the calculus
Functional_derivative
Algorithm
to the threat of post-quantum cryptography. Quantum computers would exponentially increase the speed at which these ciphers can be decoded; notably, Grover's
Symmetric-key_algorithm
fractals under the action of a fluid flow. The flow is characterized by an exponential growth of fluid filaments. Even very simple flows, such as the blinking
Chaotic_mixing
property. Logarithms and exponentials with the same base cancel each other. This is true because logarithms and exponentials are inverse operations –
List of logarithmic identities
List_of_logarithmic_identities
American scientist
decay; with trap states giving rise to broadband emission and a stretched exponential decay with long characteristic lifetimes. The nonexponential decay
Lauren_Rohwer
probability is sub-linear then the network's degree distribution is stretched exponential and hubs are much smaller than in a scale-free network. If this
Non-linear preferential attachment
Non-linear_preferential_attachment
Property of materials with both viscous and elastic characteristics under deformation
tensor M is the memory function showing, usually expressed as a sum of exponential terms for each mode of relaxation: M ( x ) = ∑ k = 1 m g i θ i exp
Viscoelasticity
Explanation for the rates of electron transfer reactions
stretched bonds, (b) In the Δ G ‡ = 0 {\displaystyle \Delta G^{\ddagger }=0} case the equilibrium configuration of the initial state is the stretched
Marcus_theory
(2008); arXiv:0802.1520. O. Flomenbom, K. Velonia, D. Loos, et al., Stretched exponential decay and correlations in the catalytic activity of fluctuating
Single-molecule_experiment
Method of analysing cardiac performance
acute alterations in contractility or afterload. Tau represents the exponential decay of the ventricular pressure during isovolumic relaxation. Several
Pressure–volume loop analysis in cardiology
Pressure–volume_loop_analysis_in_cardiology
Tendency of AC current flow in a conductor's outer layer
density is largest near the surface of the conductor and decreases exponentially with greater depths in the conductor. It is caused by opposing eddy
Skin_effect
Practice and study of secure communication techniques
Theo (2021): Super Secreto – The Third Epoch of Cryptography: Multiple, exponential, quantum-secure and above all, simple and practical Encryption for Everyone
Cryptography
Process of converting plaintext to ciphertext
Theo (2021): SUPER SECRETO – The Third Epoch of Cryptography: Multiple, exponential, quantum-secure and above all, simple and practical Encryption for Everyone
Encryption
Compact astronomical body
associated with a parameter dictating the black hole's internal mass growing exponentially, and the buildup of tidal forces is called the mass-inflation singularity
Black_hole
are concerned with flows having chaotic particle paths, and associated exponential rates of mixing (Ottino 1989). At the dynamic level, the fact that vortex
Topological_fluid_dynamics
Study of analyzing information systems in order to discover their hidden aspects
cryptosystem, such as a block cipher or hash function with some rounds removed. Many, but not all, attacks become exponentially more difficult to execute as rounds
Cryptanalysis
Academic field
"sub-linear" and the degree distribution of the network tends to a stretched exponential distribution. If α > 1 {\displaystyle \alpha >1} , NLPA is referred
Network_science
of the IEEE floating-point system Elementary functions (exponential, logarithm, trigonometric functions): Trigonometric tables — different methods for
List of numerical analysis topics
List_of_numerical_analysis_topics
Numerical optimization algorithm
this point is better than the best current point, then we can try stretching exponentially out along this line. On the other hand, if this new point isn't
Nelder–Mead_method
Scale-free network generation algorithm
"sub-linear" and the degree distribution of the network tends to a stretched exponential distribution. If α > 1 {\displaystyle \alpha >1} , NLPA is referred
Barabási–Albert_model
Branch of cryptography
any function could be reproduced by a neural network, which is a powerful proven computational tool that can be used to find the inverse-function of any
Neural_cryptography
Mechanical property that characterizes a polymer
shown that the expectation value of the cosine of the angle falls off exponentially with distance, ⟨ cos θ ⟩ = e − ( L / P ) {\displaystyle \langle \cos
Persistence_length
Flame where the fuel and oxidizer are mixed before combustion
Y_{O_{2}}}{W_{O_{2}}}}\right)^{n}e^{-E_{a}/RT},} where B {\displaystyle B} is the pre-exponential factor, ρ {\displaystyle \rho } is the density, Y F {\displaystyle Y_{F}}
Premixed_flame
Fluid breakup of a falling stream
stream dominates that of the curvature of the wave, such components grow exponentially with time. By decomposing an arbitrary disturbance on the free surface
Plateau–Rayleigh_instability
Mathematics of smooth surfaces
that they provide a mathematical model for the shape of soap films when stretched across a wire frame ruled surfaces, which are surfaces that have at least
Differential geometry of surfaces
Differential_geometry_of_surfaces
Sense of self-movement, force, and body position
muscle contraction and oppose the stretch. During locomotion, sensory neurons can reverse their activity when stretched, to promote rather than oppose movement
Proprioception
Augmented password-authenticated key exchange protocol
Challenge Response Authentication Mechanism (SCRAM) Simple Password Exponential Key Exchange Zero-knowledge password proof "What is SRP?". Stanford University
Secure Remote Password protocol
Secure_Remote_Password_protocol
Method for stochastic equation systems
until the next reaction occurs is a random number drawn from exponential distribution function with mean 1 / R T O T {\displaystyle 1/R_{\mathrm {TOT} }}
Gillespie_algorithm
Management system for electrical power distribution
11747849B2 In recent years, utilization of electrical energy increased exponentially and customer requirement and quality definitions of power were changed
Distribution management system
Distribution_management_system
wireless data services. These issues were eventually resolved with the exponential scaling and miniaturization of MOS transistors down to sub-micron levels
History_of_smartphones
Mathematical model of the time dependence of a point in space
be solved in terms of simple functions such as exponentials and simple trigonometric functions (i.e. complex exponentials), and the behavior of all orbits
Dynamical_system
STRETCHED EXPONENTIAL-FUNCTION
STRETCHED EXPONENTIAL-FUNCTION
Surname or Lastname
English
English : habitational name for someone from Crewe in Cheshire, named with Old Welsh criu ‘weir’. This denoted a wickerwork fence that was stretched across a river to catch fish.
Girl/Female
Welsh
Wretched.
Boy/Male
Greek
Stretcher.
Surname or Lastname
English
English : nickname from Middle English strech, strecche ‘strong’, ‘violent’.
Surname or Lastname
English
English : from an Old Norse personal name or byname, Skragg, related to Norwegian dialect skragg ‘a shriveled, wretched person’, and English scraggy ‘lean’, ‘skinny’.
Boy/Male
Anglo Saxon
Wretched.
Surname or Lastname
English (chiefly West Midlands)
English (chiefly West Midlands) : metonymic occupational name for a fuller, from Middle English tred(en) ‘to tread’ + well ‘well’. Fulling was the process by which newly woven cloth was cleaned and shrunk by the use of heat, water, and pressure (from treading) before finally being stretched and laid out to dry on tenter hooks.
Surname or Lastname
English
English : habitational name from any of the dozen places in England called Anstey or Ansty, from Old English Änstiga, a compound of Än ‘one’ + stÄ«g ‘path’, denoting a short stretch of road forking at both ends. The surname is found principally in Somerset and the West Country.
Surname or Lastname
English (Lancashire)
English (Lancashire) : habitational name from a place in the parish of Wigan (now in Greater Manchester), so called from Old English mearc ‘boundary’ + lanu ‘lane’.English (Lancashire) : topographic name for someone who lived by a stretch of border or boundary land (see Mark) or a status name for someone who held land with an annual value of one mark.
Surname or Lastname
English
English : topographic name from Old English lang ‘long’ + feld ‘stretch of open country’, or a habitational name from a place so named, such as Langfield in Kent.
Boy/Male
Indian
Vast, Spacious, One who stretches, Enlarges
Boy/Male
Indian, Sanskrit
Stretches out
Boy/Male
Indian
Vast, Spacious, One who stretches, Enlarges
Surname or Lastname
English
English : from an agent derivative of Old English dr̄gean ‘to dry’; possibly an occupational name for a drier of cloth. In the Middle Ages, after cloth had been dyed and fulled, it was stretched out in tenterfields to dry.Altered spelling of German Dreier or Dreyer.
Surname or Lastname
English
English : variant of Walter, representing the normal medieval pronunciation of the name.English and German (Rhineland) : topographic name for someone who lived by a stretch of water, Middle English, Low German water.Irish : adopted as an English translation of Gaelic Ó Fuartháin (see Foran), being wrongly taken as Ó Fuaruisce ‘son of cold water’.
Surname or Lastname
English (chiefly Yorkshire, Lancashire, and Midlands)
English (chiefly Yorkshire, Lancashire, and Midlands) : topographic name for someone who lived in a house by a stretch of water or perhaps a moated house, from Middle English water ‘water’ + hous ‘house’.Richard Waterhouse, a tanner from Yorkshire, England, emigrated to Portsmouth, NH, in 1669.
Boy/Male
Muslim
Vast, Spacious, One who stretches, Enlarges
Surname or Lastname
English
English : variant of Rochford.English : variant of Rackford, a habitational name from Rackenford in Devon, recorded in Domesday Book as Racheneforda, which Mills interprets as ‘ford suitable for riding, by a stretch of river’.
Boy/Male
Hawaiian
A Maui demigod who could take the form of a rope and stretch from Molokai to Hawaii.
Boy/Male
Muslim
Vast, Spacious, One who stretches, Enlarges
STRETCHED EXPONENTIAL-FUNCTION
STRETCHED EXPONENTIAL-FUNCTION
Girl/Female
Biblical
Their haste, their sensuality, their silence.
Girl/Female
Indian
Crowned with laurels
Surname or Lastname
English
English : variant spelling of Naylor.
Girl/Female
Muslim
A queen
Girl/Female
Indian
A musical instrument, Wise, Far-sighted
Boy/Male
Hindu, Indian, Marathi
Lord of Victory
Boy/Male
Bengali, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Tamil
Intelligent
Male
Italian
Italian form of Latin Henricus, ENRICO means "home-ruler."
Girl/Female
Tamil
Abhisheka | அபிஷேக
Worshipping the idol
Boy/Male
Hindu, Indian
Diamond; Lord of Gold; Divine Glory; Person who is Praised
STRETCHED EXPONENTIAL-FUNCTION
STRETCHED EXPONENTIAL-FUNCTION
STRETCHED EXPONENTIAL-FUNCTION
STRETCHED EXPONENTIAL-FUNCTION
STRETCHED EXPONENTIAL-FUNCTION
v. t.
To stretch, as a crane stretches its neck; as, to crane the neck disdainfully.
a.
Pertaining to exponents; involving variable exponents; as, an exponential expression; exponential calculus; an exponential function.
a.
Stiff; stretched; strained.
v. i.
To strain the truth; to exaggerate; as, a man apt to stretch in his report of facts.
v. t.
To exaggerate; to extend too far; as, to stretch the truth; to stretch one's credit.
v. i.
To extend or spread one's self, or one's limbs; as, the lazy man yawns and stretches.
n.
Course; direction; as, the stretch of seams of coal.
v. i.
To be extended; to be drawn out in length or in breadth, or both; to spread; to reach; as, the iron road stretches across the continent; the lake stretches over fifty square miles.
n.
The extent to which anything may be stretched.
a.
Worthless; paltry; very poor or mean; miserable; as, a wretched poem; a wretched cabin.
n.
One who, or that which, stretches.
v. i.
To sail by the wind under press of canvas; as, the ship stretched to the eastward.
v. t.
To cause to extend in breadth; to spread; to expand; as, to stretch cloth; to stretch the wings.
v. t.
To draw or pull out to greater length; to strain; as, to stretch a tendon or muscle.
a.
Stretched tight; taut.
imp. & p. p.
of Stretch
n.
Act of stretching, or state of being stretched; reach; effort; struggle; strain; as, a stretch of the limbs; a stretch of the imagination.
n.
The frame upon which canvas is stretched for a painting.
a.
Stitched according to a formal pattern.
n.
A continuous line or surface; a continuous space of time; as, grassy stretches of land.