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The condensation algorithm (Conditional Density Propagation) is a computer vision algorithm. The principal application is to detect and track the contour
Condensation_algorithm
Topics referred to by the same term
between two molecules or moieties Condensation algorithm, in computer science, a computer vision algorithm Condensation (graph theory), in mathematics,
Condensation_(disambiguation)
Method of computing determinants
In mathematics, Dodgson condensation or method of contractants is a method of computing the determinants of square matrices. It is named for its inventor
Dodgson_condensation
State of matter
wavefunction interference, become apparent macroscopically. More generally, condensation refers to the appearance of macroscopic occupation of one or several
Bose–Einstein_condensate
Long, thin artificial clouds that sometimes form behind aircraft
Contrails (/ˈkɒntreɪlz/; short for "condensation trails") or vapour trails are line-shaped clouds produced by aircraft engine exhaust or changes in air
Contrail
Partition of a graph whose components are reachable from all vertices
this algorithm was published by Edsger W. Dijkstra in 1976. Although Kosaraju's algorithm is conceptually simple, Tarjan's and the path-based algorithm require
Strongly_connected_component
Directed graph with no directed cycles
problem on the condensation of the graph. It may be solved in polynomial time using a reduction to the maximum flow problem. Some algorithms become simpler
Directed_acyclic_graph
Method for evaluating indefinite integrals
In symbolic computation, the Risch algorithm is a method of indefinite integration used in some computer algebra systems to find antiderivatives. It is
Risch_algorithm
Locating a moving object by analyzing frames of a video
tracking: detection of object boundary (e.g. active contours or Condensation algorithm). Contour tracking methods iteratively evolve an initial contour
Video_tracking
Process in mitosis and meiosis
Chromosome condensation refers to the process by which dispersed interphase chromatin is transformed into a set of compact, rod-shaped structures during
Chromosome_condensation
Convergence test for infinite series
In mathematics, the Cauchy condensation test, named after Augustin-Louis Cauchy, is a standard convergence test for infinite series. For a non-increasing
Cauchy_condensation_test
Type of Monte Carlo algorithms for signal processing and statistical inference
known as bootstrap filter and condensation algorithm. Resampling is used to avoid the problem of the degeneracy of the algorithm, that is, avoiding the situation
Particle_filter
Divergent sum of positive unit fractions
in the 14th century by Nicole Oresme using a precursor to the Cauchy condensation test for the convergence of infinite series. It can also be proven to
Harmonic_series_(mathematics)
Model in network science
correlations of the Internet Autonomous Systems. This model can also show condensation phase transitions in the evolution of complex network. The BB model can
Bianconi–Barabási_model
Instantaneous rate of change (mathematics)
Integral Direct comparison Limit comparison Alternating series Cauchy condensation Dirichlet Abel Vector Gradient Divergence Curl Laplacian Directional
Derivative
Matrix of partial derivatives of a vector-valued function
order Reduction formulae Differentiating under the integral sign Risch algorithm Series Geometric (arithmetico-geometric) Harmonic Alternating Power Binomial
Jacobian matrix and determinant
Jacobian_matrix_and_determinant
Multivariate derivative (mathematics)
Integral Direct comparison Limit comparison Alternating series Cauchy condensation Dirichlet Abel Vector Gradient Divergence Curl Laplacian Directional
Gradient
Theorem in mathematics
Integral Direct comparison Limit comparison Alternating series Cauchy condensation Dirichlet Abel Vector Gradient Divergence Curl Laplacian Directional
Mean_value_theorem
Method of mathematical integration
Integral Direct comparison Limit comparison Alternating series Cauchy condensation Dirichlet Abel Vector Gradient Divergence Curl Laplacian Directional
Lebesgue_integral
Theorem in vector calculus
order Reduction formulae Differentiating under the integral sign Risch algorithm Series Geometric (arithmetico-geometric) Harmonic Alternating Power Binomial
Stokes'_theorem
Operation in calculus
functions, and the operations of multiplication and composition. The Risch algorithm provides a general criterion to determine whether the antiderivative of
Integral
Derivative of a function with multiple variables
derivatives are key to target-aware image resizing algorithms. Widely known as seam carving, these algorithms require each pixel in an image to be assigned
Partial_derivative
Formula for the derivative of a ratio of functions
Integral Direct comparison Limit comparison Alternating series Cauchy condensation Dirichlet Abel Vector Gradient Divergence Curl Laplacian Directional
Quotient_rule
Vector operator in vector calculus
Integral Direct comparison Limit comparison Alternating series Cauchy condensation Dirichlet Abel Vector Gradient Divergence Curl Laplacian Directional
Divergence
Mathematical method in calculus
Integral Direct comparison Limit comparison Alternating series Cauchy condensation Dirichlet Abel Vector Gradient Divergence Curl Laplacian Directional
Integration_by_parts
Differentiation under the integral sign formula
Integral Direct comparison Limit comparison Alternating series Cauchy condensation Dirichlet Abel Vector Gradient Divergence Curl Laplacian Directional
Leibniz_integral_rule
Statement relating differentiable symmetries to conserved quantities
order Reduction formulae Differentiating under the integral sign Risch algorithm Series Geometric (arithmetico-geometric) Harmonic Alternating Power Binomial
Noether's_theorem
Differential operator in mathematics
Integral Direct comparison Limit comparison Alternating series Cauchy condensation Dirichlet Abel Vector Gradient Divergence Curl Laplacian Directional
Laplace_operator
Mathematical criterion about whether a series converges
for Fourier series there is the Dini test. Consider the series Cauchy condensation test implies that (i) is finitely convergent if is finitely convergent
Convergence_tests
Notation of differential calculus
Integral Direct comparison Limit comparison Alternating series Cauchy condensation Dirichlet Abel Vector Gradient Divergence Curl Laplacian Directional
Notation_for_differentiation
Matrix of second derivatives
quasi-Newton algorithms have been developed. The latter family of algorithms use approximations to the Hessian; one of the most popular quasi-Newton algorithms is
Hessian_matrix
Logic problem, AND of pairwise ORs
condensation. In practice this may be efficiently achieved as a side effect of the previous step, as components are generated by Kosaraju's algorithm
2-satisfiability
Condensed water vapor that falls from clouds
In meteorology, precipitation is any product of the condensation of atmospheric water vapor that falls from clouds due to gravitational pull. The main
Precipitation
Formula for the derivative of a product
Integral Direct comparison Limit comparison Alternating series Cauchy condensation Dirichlet Abel Vector Gradient Divergence Curl Laplacian Directional
Product_rule
Technique in integral evaluation
Integral Direct comparison Limit comparison Alternating series Cauchy condensation Dirichlet Abel Vector Gradient Divergence Curl Laplacian Directional
Integration_by_substitution
Infinite sum
divergence of the harmonic series, and it is the basis for the general Cauchy condensation test. In ordinary finite summations, terms of the summation can be rearranged
Series_(mathematics)
Copy of a directed graph with redundant edges removed
reduction of the condensation of G, where X and Y are two strongly connected components of G that are connected by an edge in the condensation, x is any vertex
Transitive_reduction
Point to which functions converge in analysis
Integral Direct comparison Limit comparison Alternating series Cauchy condensation Dirichlet Abel Vector Gradient Divergence Curl Laplacian Directional
Limit_of_a_function
On converting relations to functions of several real variables
Integral Direct comparison Limit comparison Alternating series Cauchy condensation Dirichlet Abel Vector Gradient Divergence Curl Laplacian Directional
Implicit_function_theorem
Vector calculus formulas relating the bulk with the boundary of a region
Integral Direct comparison Limit comparison Alternating series Cauchy condensation Dirichlet Abel Vector Gradient Divergence Curl Laplacian Directional
Green's_identities
Certain vector fields are the sum of an irrotational and a solenoidal vector field
Raviart: Finite Element Methods for Navier–Stokes Equations: Theory and Algorithms. Springer Series in Computational Mathematics. Springer-Verlag, 1986.
Helmholtz_decomposition
Mathematical identities
Integral Direct comparison Limit comparison Alternating series Cauchy condensation Dirichlet Abel Vector Gradient Divergence Curl Laplacian Directional
Vector_calculus_identities
Conditions for switching order of integration in calculus
Integral Direct comparison Limit comparison Alternating series Cauchy condensation Dirichlet Abel Vector Gradient Divergence Curl Laplacian Directional
Fubini's_theorem
Theorem in calculus
Integral Direct comparison Limit comparison Alternating series Cauchy condensation Dirichlet Abel Vector Gradient Divergence Curl Laplacian Directional
Divergence_theorem
Rules for computing derivatives of functions
order Reduction formulae Differentiating under the integral sign Risch algorithm Series Geometric (arithmetico-geometric) Harmonic Alternating Power Binomial
Differentiation_rules
Differential calculus on function spaces
Integral Direct comparison Limit comparison Alternating series Cauchy condensation Dirichlet Abel Vector Gradient Divergence Curl Laplacian Directional
Calculus_of_variations
Integral of sin(x)/x from 0 to infinity
Integral Direct comparison Limit comparison Alternating series Cauchy condensation Dirichlet Abel Vector Gradient Divergence Curl Laplacian Directional
Dirichlet_integral
Type of derivative in mathematics
Integral Direct comparison Limit comparison Alternating series Cauchy condensation Dirichlet Abel Vector Gradient Divergence Curl Laplacian Directional
Derivative (multivariable calculus)
Derivative_(multivariable_calculus)
Mathematical operation
Integral Direct comparison Limit comparison Alternating series Cauchy condensation Dirichlet Abel Vector Gradient Divergence Curl Laplacian Directional
Second_derivative
Formula in calculus
differentiable at zero. The chain rule forms the basis of the backpropagation algorithm, which is used in gradient descent of neural networks in deep learning
Chain_rule
Indefinite integral
integrate all rational functions—fractions of two polynomials) The Risch algorithm Additional techniques for multiple integrations (see for instance double
Antiderivative
Integrals not expressible in closed-form from elementary functions
antiderivatives exist. This theorem also provides a basis for the Risch algorithm for determining (with difficulty) which elementary functions have elementary
Nonelementary_integral
Approximation of a function by a polynomial
Integral Direct comparison Limit comparison Alternating series Cauchy condensation Dirichlet Abel Vector Gradient Divergence Curl Laplacian Directional
Taylor's_theorem
Change of variable for integrals involving trigonometric functions
Integral Direct comparison Limit comparison Alternating series Cauchy condensation Dirichlet Abel Vector Gradient Divergence Curl Laplacian Directional
Tangent half-angle substitution
Tangent_half-angle_substitution
Relationship between derivatives and integrals
Integral Direct comparison Limit comparison Alternating series Cauchy condensation Dirichlet Abel Vector Gradient Divergence Curl Laplacian Directional
Fundamental theorem of calculus
Fundamental_theorem_of_calculus
Theorem in mathematics
Integral Direct comparison Limit comparison Alternating series Cauchy condensation Dirichlet Abel Vector Gradient Divergence Curl Laplacian Directional
Inverse_function_theorem
Mathematical theorem
Integral Direct comparison Limit comparison Alternating series Cauchy condensation Dirichlet Abel Vector Gradient Divergence Curl Laplacian Directional
Symmetry of second derivatives
Symmetry_of_second_derivatives
Mathematical operation in calculus
Integral Direct comparison Limit comparison Alternating series Cauchy condensation Dirichlet Abel Vector Gradient Divergence Curl Laplacian Directional
Implicit_differentiation
Study of rates of change
Integral Direct comparison Limit comparison Alternating series Cauchy condensation Dirichlet Abel Vector Gradient Divergence Curl Laplacian Directional
Differential_calculus
Mathematical relation consisting of a multi-variable function equal to zero
Integral Direct comparison Limit comparison Alternating series Cauchy condensation Dirichlet Abel Vector Gradient Divergence Curl Laplacian Directional
Implicit_function
Mathematical technique for simplification
Integral Direct comparison Limit comparison Alternating series Cauchy condensation Dirichlet Abel Vector Gradient Divergence Curl Laplacian Directional
Change_of_variables
is (up to constants) the error function. Since 1968 there is the Risch algorithm for determining indefinite integrals that can be expressed in term of
Lists_of_integrals
Generalization of definite integrals to functions of multiple variables
Integral Direct comparison Limit comparison Alternating series Cauchy condensation Dirichlet Abel Vector Gradient Divergence Curl Laplacian Directional
Multiple_integral
Mathematical operation in calculus
Integral Direct comparison Limit comparison Alternating series Cauchy condensation Dirichlet Abel Vector Gradient Divergence Curl Laplacian Directional
Logarithmic_derivative
Mathematical notion of infinitesimal difference
Integral Direct comparison Limit comparison Alternating series Cauchy condensation Dirichlet Abel Vector Gradient Divergence Curl Laplacian Directional
Differential_(mathematics)
Smallest transitive relation containing a given binary relation
of the graph. For directed graphs, Purdom's algorithm solves the problem by first computing its condensation DAG and its transitive closure, then lifting
Transitive_closure
Art created by a set of rules, often using computers
refers to algorithmic art (algorithmically determined computer generated artwork) and synthetic media (general term for any algorithmically generated
Generative_art
Definite integral of a scalar or vector field along a path
Integral Direct comparison Limit comparison Alternating series Cauchy condensation Dirichlet Abel Vector Gradient Divergence Curl Laplacian Directional
Line_integral
Rate of change of the second derivative
order Reduction formulae Differentiating under the integral sign Risch algorithm Series Geometric (arithmetico-geometric) Harmonic Alternating Power Binomial
Third_derivative
Integration over a non-flat region in 3D space
Integral Direct comparison Limit comparison Alternating series Cauchy condensation Dirichlet Abel Vector Gradient Divergence Curl Laplacian Directional
Surface_integral
Generalization of the product rule in calculus
Integral Direct comparison Limit comparison Alternating series Cauchy condensation Dirichlet Abel Vector Gradient Divergence Curl Laplacian Directional
General_Leibniz_rule
Antiderivative of the secant function
Integral Direct comparison Limit comparison Alternating series Cauchy condensation Dirichlet Abel Vector Gradient Divergence Curl Laplacian Directional
Integral of the secant function
Integral_of_the_secant_function
Formula for the derivative of an inverse function
Integral Direct comparison Limit comparison Alternating series Cauchy condensation Dirichlet Abel Vector Gradient Divergence Curl Laplacian Directional
Inverse_function_rule
Method of evaluating certain integrals along paths in the complex plane
order Reduction formulae Differentiating under the integral sign Risch algorithm Series Geometric (arithmetico-geometric) Harmonic Alternating Power Binomial
Contour_integration
3D generalization of the Leibniz integral rule
Integral Direct comparison Limit comparison Alternating series Cauchy condensation Dirichlet Abel Vector Gradient Divergence Curl Laplacian Directional
Reynolds_transport_theorem
Derivative defined on normed spaces
Integral Direct comparison Limit comparison Alternating series Cauchy condensation Dirichlet Abel Vector Gradient Divergence Curl Laplacian Directional
Fréchet_derivative
Partition of vertices of a directed graph
vertices, producing a directed acyclic graph (the condensation of the given graph), and then this condensation is topologically sorted, then each weak component
Weak_component
Computational problem in graph theory
may be replaced by its condensation, in which every strongly connected component is replaced by a single vertex. The condensation is always a directed acyclic
Closure_problem
Evaluates a line integral through a gradient field using the original scalar field
Integral Direct comparison Limit comparison Alternating series Cauchy condensation Dirichlet Abel Vector Gradient Divergence Curl Laplacian Directional
Gradient_theorem
Relation between relative derivatives of three variables
order Reduction formulae Differentiating under the integral sign Risch algorithm Series Geometric (arithmetico-geometric) Harmonic Alternating Power Binomial
Triple_product_rule
Test for convergence of alternating series
Integral Direct comparison Limit comparison Alternating series Cauchy condensation Dirichlet Abel Vector Gradient Divergence Curl Laplacian Directional
Alternating_series_test
Method of integration for rational functions
Integral Direct comparison Limit comparison Alternating series Cauchy condensation Dirichlet Abel Vector Gradient Divergence Curl Laplacian Directional
Euler_substitution
Instantaneous rate of change of the function
Integral Direct comparison Limit comparison Alternating series Cauchy condensation Dirichlet Abel Vector Gradient Divergence Curl Laplacian Directional
Directional_derivative
Formulation of classical mechanics
Integral Direct comparison Limit comparison Alternating series Cauchy condensation Dirichlet Abel Vector Gradient Divergence Curl Laplacian Directional
Hamilton–Jacobi_equation
Method of mathematical differentiation
Integral Direct comparison Limit comparison Alternating series Cauchy condensation Dirichlet Abel Vector Gradient Divergence Curl Laplacian Directional
Logarithmic_differentiation
Theorem in calculus relating line and double integrals
Integral Direct comparison Limit comparison Alternating series Cauchy condensation Dirichlet Abel Vector Gradient Divergence Curl Laplacian Directional
Green's_theorem
Commonly encountered and tricky integral
Integral Direct comparison Limit comparison Alternating series Cauchy condensation Dirichlet Abel Vector Gradient Divergence Curl Laplacian Directional
Integral_of_secant_cubed
Course designed to prepare students for calculus
Integral Direct comparison Limit comparison Alternating series Cauchy condensation Dirichlet Abel Vector Gradient Divergence Curl Laplacian Directional
Precalculus
Scientific principles enabling the use of the calculus of variations
Integral Direct comparison Limit comparison Alternating series Cauchy condensation Dirichlet Abel Vector Gradient Divergence Curl Laplacian Directional
Variational_principle
Test for series convergence
Integral Direct comparison Limit comparison Alternating series Cauchy condensation Dirichlet Abel Vector Gradient Divergence Curl Laplacian Directional
Dirichlet's_test
Method for partial-fraction expansion
Integral Direct comparison Limit comparison Alternating series Cauchy condensation Dirichlet Abel Vector Gradient Divergence Curl Laplacian Directional
Heaviside_cover-up_method
Generalization of the concept of directional derivative
Integral Direct comparison Limit comparison Alternating series Cauchy condensation Dirichlet Abel Vector Gradient Divergence Curl Laplacian Directional
Gateaux_derivative
Branch of mathematical analysis
Chen, YangQuan; Li, Changpin; Ding, Hengfei (22 May 2014). "High-Order Algorithms for Riesz Derivative and Their Applications". Abstract and Applied Analysis
Fractional_calculus
Computation of an antiderivatives
expression is a straightforward process for which it is easy to construct an algorithm. The reverse question of finding the integral is much more difficult.
Symbolic_integration
Family of mathematical methods
stands for Multidimensional Positive Definite Advection Transport Algorithm. The algorithm was formulated by Piotr K. Smolarkiewicz (and is also referred
MPDATA
Integral transform
Integral Direct comparison Limit comparison Alternating series Cauchy condensation Dirichlet Abel Vector Gradient Divergence Curl Laplacian Directional
Riemann–Liouville_integral
Technique of integral evaluation
Integral Direct comparison Limit comparison Alternating series Cauchy condensation Dirichlet Abel Vector Gradient Divergence Curl Laplacian Directional
Trigonometric_substitution
Special case of the Euler–Lagrange equations
Integral Direct comparison Limit comparison Alternating series Cauchy condensation Dirichlet Abel Vector Gradient Divergence Curl Laplacian Directional
Beltrami_identity
Directed graph where each vertex pair has one arc
as desired. This argument also gives an algorithm for finding the Hamiltonian path. More efficient algorithms, that require examining only O(nlogn) of
Tournament_(graph_theory)
Criterion for the convergence of an infinite series
Integral Direct comparison Limit comparison Alternating series Cauchy condensation Dirichlet Abel Vector Gradient Divergence Curl Laplacian Directional
Root_test
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CONDENSATION ALGORITHM
CONDENSATION ALGORITHM
CONDENSATION ALGORITHM
CONDENSATION ALGORITHM
CONDENSATION ALGORITHM
CONDENSATION ALGORITHM
CONDENSATION ALGORITHM
CONDENSATION ALGORITHM
CONDENSATION ALGORITHM
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