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Type of stochastic process in probability
Cauchy process is a type of stochastic process. There are symmetric and asymmetric forms of the Cauchy process. The unspecified term "Cauchy process"
Cauchy_process
Probability distribution
The Cauchy distribution, named after Augustin-Louis Cauchy, is a continuous probability distribution. It is also known, especially among physicists, as
Cauchy_distribution
They also include the Cauchy process. For the symmetric Cauchy process, the associated probability distribution is the Cauchy distribution. The degenerate
Stable_process
Stochastic process in probability theory
"intensity" or "rate" of the process. If X {\displaystyle X} is a Cauchy process, the probability distribution of Xt − Xs is a Cauchy distribution with density
Lévy_process
Sequence of points that get progressively closer to each other
In mathematics, a Cauchy sequence is a sequence whose elements become arbitrarily close to each other as the sequence progresses. More precisely, given
Cauchy_sequence
Augustin-Louis Cauchy include: Bolzano–Cauchy theorem Cauchy boundary condition Cauchy completion Cauchy-continuous function Cauchy–Davenport theorem Cauchy distribution
List of things named after Augustin-Louis Cauchy
List_of_things_named_after_Augustin-Louis_Cauchy
Representation of a type of random process
a modelled representation of a type of random process. It can be used to describe time-varying processes from many natural and artificial sources. The
Autoregressive_model
Solution to a stochastic differential equation
statistics, diffusion processes are a class of continuous-time Markov process with almost surely continuous sample paths. Diffusion processes are stochastic
Diffusion_process
Existence and uniqueness of solutions to initial value problems
a unique solution. It is also known as Picard's existence theorem, the Cauchy–Lipschitz theorem, or the existence and uniqueness theorem. The theorem
Picard–Lindelöf_theorem
Class of problems for PDEs
A Cauchy problem in mathematics asks for the solution of a partial differential equation that satisfies certain conditions that are given on a hypersurface
Cauchy_problem
Probability distribution
medium follows the Lévy distribution. A Cauchy process can be defined as a Brownian motion subordinated to a process associated with a Lévy distribution.
Lévy_distribution
Existence and uniqueness theorem for certain partial differential equations
In mathematics, the Cauchy–Kovalevskaya theorem (also written as the Cauchy–Kowalevski theorem) is the main local existence and uniqueness theorem for
Cauchy–Kovalevskaya_theorem
Stochastic volatility model used in derivatives markets
{\displaystyle \max(F_{T}-K,\;0)} under the probability distribution of the process F t {\displaystyle F_{t}} . Except for the special cases of β = 0 {\displaystyle
SABR_volatility_model
Hypothetical mechanism for extracting energy from rotating black holes
The Penrose process (also called Penrose mechanism) is theorised by Sir Roger Penrose as a means whereby energy can be extracted from a rotating black
Penrose_process
statistics, a continuous-time stochastic process, or a continuous-space-time stochastic process is a stochastic process for which the index variable takes a
Continuous-time stochastic process
Continuous-time_stochastic_process
Continuous wavelets
In mathematics, Cauchy wavelets are a family of continuous wavelets, used in the continuous wavelet transform. The Cauchy wavelet of order p {\displaystyle
Cauchy_wavelet
Concept in statistics
functions of the variables. A one-dimensional GRF is also called a Gaussian process. An important special case of a GRF is the Gaussian free field. With regard
Gaussian_random_field
Probability distribution
with a Cauchy distribution, then Y = exp(X) has a log-Cauchy distribution; likewise, if Y has a log-Cauchy distribution, then X = log(Y) has a Cauchy distribution
Log-Cauchy_distribution
Boundary-value problem in differential equations
In mathematics, a Cauchy (French: [koʃi]) boundary condition augments an ordinary differential equation or a partial differential equation with conditions
Cauchy_boundary_condition
Stochastic processes
A power spectral density (PSD) function that has the same shape as the Cauchy distribution: S x ( j ω ) = 2 σ 2 β ω 2 + β 2 . {\displaystyle {\textbf
Gauss–Markov_process
)\;:=\;\theta \,\Gamma (t;1,\nu )+\sigma \,W(\Gamma (t;1,\nu )).} The Cauchy process can be described as a Brownian motion subject to a Lévy subordinator
Subordinator_(mathematics)
Stochastic process generalizing Brownian motion
given by the Cauchy formula for repeated integration. Every continuous martingale (starting at the origin) is a time changed Wiener process. Example: 2Wt
Wiener_process
Theorem regarding the existence of a solution to a differential equation
Peano existence theorem, Peano theorem or Cauchy–Peano theorem, named after Giuseppe Peano and Augustin-Louis Cauchy, is a fundamental theorem which guarantees
Peano_existence_theorem
Value approached by a mathematical object
other mathematicians until thirty years after his death. Augustin-Louis Cauchy in 1821, followed by Karl Weierstrass, formalized the definition of the
Limit_(mathematics)
Generalized function whose value is zero everywhere except at zero
function (infinitesimal version of Cauchy distribution) explicitly appears in an 1827 text of Augustin-Louis Cauchy. Cauchy expressed the theorem using exponentials:
Dirac_delta_function
Physical quantity that expresses internal forces in a continuous material
equilibrium and calculus of infinitesimals. With those tools, Augustin-Louis Cauchy was able to give the first rigorous and general mathematical model of a
Stress_(mechanics)
Topics referred to by the same term
which every Cauchy sequence converges Complete uniform space, a uniform space where every Cauchy net in converges (or equivalently every Cauchy filter converges)
Completeness
Physical property when materials or objects return to original shape after deformation
special case. For small strains, the measure of stress that is used is the Cauchy stress while the measure of strain that is used is the infinitesimal strain
Elasticity_(physics)
Mode of convergence of a function sequence
series, arguing that Cauchy's proof had to be incorrect. Completely standard notions of convergence did not exist at the time, and Cauchy handled convergence
Uniform_convergence
Empirical relationship between refractive index and wavelength
Wolfgang Sellmeier and was a development of the work of Augustin Cauchy on Cauchy's equation for modelling dispersion. In its original and the most general
Sellmeier_equation
Correlation of a signal with a time-shifted copy of itself, as a function of shift
\operatorname {R} _{XX}(0)} is always real. The Cauchy–Schwarz inequality, inequality for stochastic processes: | R X X ( t 1 , t 2 ) | 2 ≤ E [ | X t 1
Autocorrelation
Mathematical model for neuron networks
himself was influenced by Hédi Soula. Galves and Löcherbach referred to the process that Cessac described as "a version in a finite dimension" of their own
Galves–Löcherbach_model
Differential equations involving stochastic processes
one or more of the terms is a stochastic process, resulting in a solution which is also a stochastic process. SDEs have many applications throughout pure
Stochastic differential equation
Stochastic_differential_equation
Property of differential equations describing physical phenomena
There are many results on this topic. For example, the Cauchy–Kowalevski theorem for Cauchy initial value problems essentially states that if the terms
Well-posed_problem
Dimensionless number in fluid mechanics
m/s) K = bulk modulus of elasticity, (SI units: Pa) For isentropic processes, the Cauchy number may be expressed in terms of Mach number. The isentropic
Cauchy_number
Statistical measure of central tendency
efficiency for mixed distributions and heavy-tailed distribution (like the Cauchy distribution), at the cost of lower efficiency for some other less heavily
Truncated_mean
Mathematical expression with disputed status
theorem argument to prove that xx → 1 as x → 0+. On the other hand, in 1821 Cauchy explained why the limit of xy as positive numbers x and y approach 0 while
Zero_to_the_power_of_zero
Integral transform and linear operator
function of a real variable H(u)(t). The Hilbert transform is given by the Cauchy principal value of the convolution with the function 1 / ( π t ) {\displaystyle
Hilbert_transform
wrapped exponential distribution The wrapped Lévy distribution The wrapped Cauchy distribution The wrapped Laplace distribution The wrapped asymmetric Laplace
List of probability distributions
List_of_probability_distributions
Truesdell rate of the Cauchy stress tensor, the Green–Naghdi rate of the Cauchy stress, and the Zaremba-Jaumann rate of the Cauchy stress. The adjacent
Objective_stress_rate
Alternative decimal expansion of 1
popular ways to achieve this step, both published in 1872: Dedekind cuts and Cauchy sequences. Proofs that 0.999... = 1 that directly uses these constructions
0.999...
Type of constraint on solutions to differential equations
the boundary. Many other boundary conditions are possible, including the Cauchy boundary condition and the mixed boundary condition. The latter is a combination
Dirichlet_boundary_condition
Type of probability distribution
stable distribution family, which includes the normal distribution, the Cauchy distribution, and the Lévy distribution. Outside the stable class, some
Infinite divisibility (probability)
Infinite_divisibility_(probability)
Science concerned with physical bodies subjected to forces or displacements
explanation and prediction of processes at the molecular, atomic, and sub-atomic level. However, for macroscopic processes classical mechanics is able to
Mechanics
Type of problem involving ODEs or PDEs
y(x)=2\sin(x).} The 3 standard classes of conditions are Dirichlet, Neumann and Cauchy or Robin, with also mixed, boundary as infinity. Summary of boundary conditions
Boundary_value_problem
Matrix operation which flips a matrix over its diagonal
obtained by reflecting the elements along its main diagonal. Repeating the process on the transposed matrix returns the elements to their original position
Transpose
Process of pushing material through a die to create long symmetrical-shaped objects
Extrusion is a process used to create objects of a fixed cross-sectional profile by pushing material through a die of the desired cross-section. Its two
Extrusion
Principle suggesting that time travel paradoxes are inherently impossible
time would be permitted. In a 1990 paper by Novikov and several others, "Cauchy problem in spacetimes with closed timelike curves", the authors state: The
Novikov self-consistency principle
Novikov_self-consistency_principle
Statistical measure of variability
works better with distributions without a mean or variance, such as the Cauchy distribution. The MAD may be used similarly to how one would use the deviation
Median_absolute_deviation
differential equation Calabi flow in the study of Calabi-Yau manifolds Cauchy–Riemann equations Equations for a minimal surface Liouville's equation Ricci
List of named differential equations
List_of_named_differential_equations
Probability distribution
Student's t distribution t ν {\displaystyle t_{\nu }} becomes the standard Cauchy distribution, which has very "fat" tails; whereas for ν → ∞ {\displaystyle
Student's_t-distribution
Branch of physics which studies the behavior of materials modeled as continuous media
interaction between the parts of the body to either side of the surface (Euler-Cauchy's stress principle). When a body is acted upon by external contact forces
Continuum_mechanics
Compact astronomical body
that are rotating and/or charged have an inner horizon, often called the Cauchy horizon, inside of the black hole. The inner horizon is divided up into
Black_hole
Average value of a random variable
concretely if the distribution of X {\displaystyle X} is given by the Cauchy distribution Cauchy(0, π), so that f ( x ) = ( x 2 + π 2 ) − 1 {\displaystyle f(x)=(x^{2}+\pi
Expected_value
Infinite sum
19th century through the work of Carl Friedrich Gauss and Augustin-Louis Cauchy, among others, answering questions about which of these sums exist via the
Series_(mathematics)
Infinite series with alternating signs
− 2 + 3 − 4 + ... is the Cauchy product (discrete convolution) of 1 − 1 + 1 − 1 + ... with 1 − 1 + 1 − 1 + .... The Cauchy product of two infinite series
1_−_2_+_3_−_4_+_⋯
Equations of motion for viscous fluids
Navier–Stokes momentum equation can be derived as a particular form of the Cauchy momentum equation, whose general convective form is: D u D t = 1 ρ ∇ ⋅ σ
Navier–Stokes_equations
Type of signal processing statistic
In cases where the ideal linear system assumptions are insufficient, the Cauchy–Schwarz inequality guarantees a value of C x y ≤ 1 {\displaystyle C_{xy}\leq
Coherence_(signal_processing)
is a holomorphic function. 2. Cauchy integral formula. 3. Cauchy residue theorem. 4. Cauchy's estimate. 5. The Cauchy principal value is, when possible
Glossary of real and complex analysis
Glossary_of_real_and_complex_analysis
Branch of mathematics
but Bolzano's work did not become widely known until the 1870s. In 1821, Cauchy began to put calculus on a firm logical foundation by rejecting the principle
Mathematical_analysis
Number, approximately 3.14
dx=\pi .} The Shannon entropy of the Cauchy distribution is equal to ln(4π), which also involves π. The Cauchy distribution plays an important role in
Pi
Concept in statistics and wave theory
half maximum (here γ), HWHM, is in common use. For example, a Lorentzian/Cauchy distribution of height 1/πγ can be defined by f ( x ) = 1 π γ [ 1 + (
Full_width_at_half_maximum
Exact solution for the Einstein field equations
associated with an ergosphere, stationary limit surfaces, event horizons, Cauchy horizons, closed timelike curves, and a ring-shaped curvature singularity
Kerr_metric
Probability distribution
ratio follows the standard Cauchy distribution: X 1 / X 2 ∼ Cauchy ( 0 , 1 ) {\textstyle X_{1}/X_{2}\sim \operatorname {Cauchy} (0,1)} . Their Euclidean
Normal_distribution
Averages of repeated trials converge to the expected value
from the Cauchy distribution or some Pareto distributions (α<1) will not converge as n becomes larger; the reason is heavy tails. The Cauchy distribution
Law_of_large_numbers
Mathematical function having a characteristic S-shaped curve or sigmoid curve
function, which is related to the cumulative distribution function of a Cauchy distribution. A sigmoid function is constrained by a pair of horizontal
Sigmoid_function
Probability distribution with high skewness or kurtosis
than for fat-tailed distributions. Fat-tailed distributions such as the Cauchy distribution (and all other stable distributions with the exception of the
Fat-tailed_distribution
Concept in mathematical analysis
Alternatively, an iterated limit could be used or a single limit based on the Cauchy principal value. If f ( x ) {\displaystyle f(x)} is continuous on [ a ,
Improper_integral
Mathematical function for thermoelastic strain energy density
{\boldsymbol {C}}} is the right Cauchy–Green deformation tensor, B {\displaystyle {\boldsymbol {B}}} is the left Cauchy–Green deformation tensor, and R
Strain energy density function
Strain_energy_density_function
Method for solving continuous operator problems (such as differential equations)
approximation property in the energy norm. Using Galerkin a-orthogonality and the Cauchy–Schwarz inequality for the energy norm, we obtain ‖ u − u n ‖ a 2 = a (
Galerkin_method
Type of shield volcano on the Moon
Gambart C, Beer, and Capuanus. Omega Cauchy (ω) and Tau Cauchy (τ) form a pair of domes near the crater Cauchy. Likewise near Arago are the domes Arago
Lunar_dome
Kunita–Watanabe inequality is a generalization of the Cauchy–Schwarz inequality to integrals of stochastic processes. It was first obtained by Hiroshi Kunita and
Kunita–Watanabe_inequality
Conjecture in physics
precisely, everywhere on a spacelike three-dimensional hypersurface, called the Cauchy surface). Failure of the cosmic censorship hypothesis leads to the failure
Cosmic_censorship_hypothesis
Overview of and topical guide to probability
χ-squared (or chi-squared), F-distribution, Student's t-distribution, and Cauchy. Cantor Fisher–Tippett (or Gumbel) Pareto Benford's law Sum of normally
Outline_of_probability
(see figure on right). Cauchy–Kovalevskaya theorem In mathematics, the Cauchy–Kowalevski theorem (also written as the Cauchy–Kovalevskaya theorem) is
List of inventions and discoveries by women
List_of_inventions_and_discoveries_by_women
Numerical method for solving physical or engineering problems
explain the approximation of this process, FEM is commonly introduced as a special case of the Galerkin method. The process, in mathematical language, is
Finite_element_method
Lunar mare
light highland material. At the right is the crater Cauchy, which lies between the Rupes Cauchy and Cauchy rille. The center photo shows the central mare with
Mare_Tranquillitatis
Process for making thin polymer films by inflating a tube of melt
Blown film extrusion is a polymer-extrusion process used to make thin plastic films. A thermoplastic melt, usually a polyethylene grade, is forced through
Blown_film_extrusion
Mathematical symbol representing infinity
ISBN 978-0-393-06177-2. Shipman, Barbara A. (April 2013). "Convergence and the Cauchy property of sequences in the setting of actual infinity". PRIMUS. 23 (5):
Infinity_symbol
Hungarian philosopher of mathematics and science (1922–1974)
In a 1966 text Cauchy and the continuum, Lakatos re-examines the history of the calculus, with special regard to Augustin-Louis Cauchy and the concept
Imre_Lakatos
Adhering absolutely to certain constraints with consistency
analysis. The works of Cauchy added rigour to the older works of Euler and Gauss. The works of Riemann added rigour to the works of Cauchy. The works of Weierstrass
Rigour
Branch of mathematics
infinitesimals, but it would not be until 150 years later when, due to the work of Cauchy and Weierstrass, a way was finally found to avoid mere "notions" of infinitely
Calculus
Type of functional equation (mathematics)
quantity is a stochastic process and the equation involves some known stochastic processes, for example, the Wiener process in the case of diffusion equations
Differential_equation
Square root of a non-positive real number
following the work of Leonhard Euler in the 18th century, and Augustin-Louis Cauchy and Carl Friedrich Gauss in the early 19th century. An imaginary number
Imaginary_number
Mathematical test in control system theory
through the use of the Euclidean algorithm and Sturm's theorem in evaluating Cauchy indices. Hurwitz derived his conditions differently. The criterion is related
Routh–Hurwitz stability criterion
Routh–Hurwitz_stability_criterion
Random walk with heavy-tailed step lengths
distribution of step sizes. He used the term Cauchy flight for the case where the distribution of step sizes is a Cauchy distribution, and Rayleigh flight for
Lévy_flight
Approach to finding numerical solutions of ordinary differential equations
( t , y ( t ) ) {\displaystyle y'(t)=f\left(t,y(t)\right)} . Begin the process by setting y 0 = y ( t 0 ) {\displaystyle y_{0}=y(t_{0})} . Next, choose
Euler_method
Coordinate system in two dimensions
{\displaystyle f(x,y)=u(x,y)+iv(x,y)} written in Cartesian coordinates satisfies the Cauchy–Riemann equations: ∂ u ∂ x = ∂ v ∂ y , ∂ u ∂ y = − ∂ v ∂ x {\displaystyle
Log-polar_coordinates
Type of differential equation
solve nonlinear PDEs. Still, existence and uniqueness results (such as the Cauchy–Kowalevski theorem) are often possible, as are proofs of important qualitative
Partial_differential_equation
Branch of ordinary differential equations
Carathéodory's existence theorem Cauchy–Kovalevskaya theorem General topics Initial values Boundary values Dirichlet Neumann Robin Cauchy Periodic Wronskian Abel's
Floquet_theory
Argentine mathematician
operators to partial differential equations, from interpolation theory to Cauchy integrals on Lipschitz curves, from ergodic theory to inverse problems in
Alberto_Calderón
In signal processing, unwanted modifications to a signal
Gaussian noise, whose PDF is a linear mixture of Gaussian PDFs Power-law noise Cauchy noise Multiplicative noise, multiplies or modulates the intended signal
Noise_(signal_processing)
Topics referred to by the same term
Document, a data serialisation format Child process, Computing process created by another process Cauchy problem, in partial differential equations Complex
CP
Family of continuous probability distributions
distribution, the skewed Cauchy distribution, the Laplace distribution, the uniform distribution, the normal distribution, and the Cauchy distribution. The graphic
Skewed generalized t distribution
Skewed_generalized_t_distribution
Type of boundary condition in mathematics
Carathéodory's existence theorem Cauchy–Kovalevskaya theorem General topics Initial values Boundary values Dirichlet Neumann Robin Cauchy Periodic Wronskian Abel's
Robin_boundary_condition
Concepts from linear algebra
Augustin-Louis Cauchy saw how their work could be used to classify the quadric surfaces, and generalized it to arbitrary dimensions. Cauchy also coined the
Eigenvalues_and_eigenvectors
Sufficiency theorem for reconstructing signals from samples
sampling theorem was stated even earlier by Cauchy, in a paper published in 1841. However, the paper of Cauchy does not contain such a statement, as has
Nyquist–Shannon sampling theorem
Nyquist–Shannon_sampling_theorem
Principle relating to fluid dynamics
isentropic flows: when the effects of irreversible processes (like turbulence) and non-adiabatic processes (e.g. thermal radiation) are small and can be neglected
Bernoulli's_principle
Differential equation that is linear with respect to the unknown function
unknowns c1 and c2. Solving this system gives the solution for a so-called Cauchy problem, in which the values at 0 for the solution of the DEQ and its derivative
Linear_differential_equation
2020. Gray, Jeremy (July 22, 2019). "Goursat, Pringsheim, Walsh, and the Cauchy Integral Theorem". The Mathematical Intelligencer. 22 (4): 60–66. doi:10
Connections of Jeffrey Epstein
Connections_of_Jeffrey_Epstein
CAUCHY PROCESS
CAUCHY PROCESS
Girl/Female
American, Assamese, Christian, English, German, Greek, Indian, Italian, Kannada, Latin, Marathi, Swedish
Pure
Female
English
English pet form of French Catharine, CATHY means "pure."
Boy/Male
Scottish English
True and bold. Also 'bald'. Introduced from England and Germany during the Norman conquest, the...
Surname or Lastname
English
English : perhaps a variant spelling of Cosby.
Girl/Female
Irish
Vigilant.
Surname or Lastname
Cornish and Welsh
Cornish and Welsh : nickname for a red-haired man, from cough, coch ‘red(-haired)’. Compare Gough.English : metonymic occupational name for a maker of beds or bedding, or perhaps a nickname for a lazy man, from Middle English, Old French couche ‘bed’, a derivative of Old French coucher ‘to lay down’, Latin collocare ‘to place’.
Girl/Female
Hindu, Indian
Wonderful
Boy/Male
Irish
Observant; alert; vigorous.
Boy/Male
American, Australian, German
Man
Boy/Male
Irish
Observant; alert; vigorous.
Surname or Lastname
English (of Norman origin)
English (of Norman origin) : topographic name for someone who lived by a causeway, Middle English caucey (from Old Norman French cauciée); the ending of the word was in time assimilated by folk etymology to Middle English way.
Girl/Female
American, Australian
Storage Place
Girl/Female
Greek American French Latin Irish English
Form of the Greek Catherine meaning 'pure'.
Male
Spanish
Pet form of Spanish Jesús, CHUCHO means "God is salvation."
Boy/Male
British, English
Good with Bow and Arrow; A Diminutive of Archibald; True and Bold
Surname or Lastname
English
English : occupational name for a maker of beds or bedding, from Middle English couche ‘bed’ (see Couch) + man.
Girl/Female
Native American
To catch up with.
Girl/Female
Arabic
Going Up
Boy/Male
Australian, Norse, Scottish
Relic
Boy/Male
Spanish
Bringer of peace.
CAUCHY PROCESS
CAUCHY PROCESS
Girl/Female
British, Christian, English, Greek
Good
Girl/Female
Indian
Universe
Girl/Female
Gaelic
Girl/Female
Hindu
Dedicated to truth, Personified
Boy/Male
Hindu, Indian, Marathi
Goddess Durga
Boy/Male
Muslim
Sedate, Grave, Sober minded, Composed, Subtle
Male
English
Anglicized form of Scottish Gaelic Alastair, ALLISTAIR means "defender of mankind."
Girl/Female
Biblical Hebrew
To God, to the mighty.
Girl/Female
Gujarati, Hindu, Indian
Fragrance; Clouds
Girl/Female
Indian
Sharp, Fem of rahif
CAUCHY PROCESS
CAUCHY PROCESS
CAUCHY PROCESS
CAUCHY PROCESS
CAUCHY PROCESS
n.
A small species of agouti (Dasyprocta acouchy).
a.
Arched; as, archy brows.
v. t.
To communicate to; to fasten upon; as, the fire caught the adjoining building.
superl.
Expressive of, or characterized by, impudence; impertinent; as, a saucy eye; saucy looks.
v. t.
Lying on its side; thus, a chevron couche is one which emerges from one side of the escutcheon and has its apex on the opposite side, or at the fess point.
imp. & p. p.
of Catch
n.
That which is caught or taken; profit; gain; especially, the whole quantity caught or taken at one time; as, a good catch of fish.
v. t.
To reach in time; to come up with; as, to catch a train.
n.
Something desirable to be caught, esp. a husband or wife in matrimony.
v. t.
To seize after pursuing; to arrest; as, to catch a thief.
v. t.
To take or receive; esp. to take by sympathy, contagion, infection, or exposure; as, to catch the spirit of an occasion; to catch the measles or smallpox; to catch cold; the house caught fire.
v. t.
To treat by pushing down or displacing the opaque lens with a needle; as, to couch a cataract.
n.
That by which anything is caught or temporarily fastened; as, the catch of a gate.
v. i.
To hold, or meet in, a caucus or caucuses.
superl.
Showing impertinent boldness or pertness; transgressing the rules of decorum; treating superiors with contempt; impudent; insolent; as, a saucy fellow.
n.
A humorous canon or round, so contrived that the singers catch up each other's words.
v. i.
To take hold; as, the bolt does not catch.
v. t.
To seize with the senses or the mind; to apprehend; as, to catch a melody.
v. t.
To come upon unexpectedly or by surprise; to find; as, to catch one in the act of stealing.