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2003 single by Massive Attack
Records. 2003. VST1839, VST1939. Special Cases (UK DVD single case). Virgin Records. 2003. VSDVD1839, 724349057692. Special Cases (Australian CD single liner
Special_Cases
Specific, usually well-known application of a mathematical rule or law
false. A degenerate case is a special case which is in some way qualitatively different from almost all of the cases allowed. Special case examples include
Special_case
Topics referred to by the same term
Look up special case in Wiktionary, the free dictionary. "Special Cases" is a song by Massive Attack. Special Cases may also refer to: Special Cases (band)
Special Cases (disambiguation)
Special_Cases_(disambiguation)
Theorem in probability and statistics
[g(X)]=\int _{-\infty }^{\infty }g(x)f_{X}(x)\,\mathrm {d} x} Both of these special cases can be expressed in terms of the cumulative probability distribution
Law of the unconscious statistician
Law_of_the_unconscious_statistician
Construct all the circles that are tangent to three given circles
construct all the circles that are tangent to three given circles. Special cases of Apollonius' problem are those in which at least one of the given
Special cases of Apollonius' problem
Special_cases_of_Apollonius'_problem
Rewriting an email message sender address
Forging a sender address is also known as email spoofing. In a number of cases, including change of email address and mailing lists, a message transfer
Sender_Rewriting_Scheme
2020 studio album by Special Cases
The eponymously titled Special Cases is the first studio album by Chilean psychedelic rock band Special Cases. The album was written between 2011 and 2012
Special_Cases_(album)
Chilean rock band
Special Cases is a band with members of Föllakzoid, Chicos de Nazca and 10 Years Lost, based in Santiago, Chile. The band was originally the solo project
Special_Cases_(band)
Quadrilateral symmetric across a diagonal
two sides. These include as special cases the rhombus and the rectangle respectively, and the square, which is a special case of both. The self-crossing
Kite_(geometry)
Theorem in differential geometry
version but never published it, and Pierre Ossian Bonnet, who published a special case in 1848.[not verified in body] Suppose M is a compact two-dimensional
Gauss–Bonnet_theorem
Hexahedron with parallelogram faces
(six square faces), and the rhombohedron (six rhombus faces) are all special cases of parallelepiped. Parallelepiped is now usually pronounced /ˌpærəˌlɛlɪˈpɪpɪd/
Parallelepiped
N-th root of the arithmetic mean of the given numbers raised to the power n
family of functions for aggregating sets of numbers. These include as special cases the Pythagorean means (arithmetic, geometric, and harmonic means). If
Generalized_mean
changed from 20 to 18 on 1 April 2022). The law, known as the Act on Special Cases in Handling Gender Status for Persons with Gender Identity Disorder
LGBTQ_rights_in_Japan
Physics problem related to laws of motion and gravity
to estimate them using numerical methods. The three-body problem is a special case of the n-body problem. Historically, the first specific three-body problem
Three-body_problem
Unsolved problem in computational complexity theory
bounds similar to that for graph isomorphism. A number of important special cases of the graph isomorphism problem have efficient, polynomial-time solutions:
Graph_isomorphism_problem
Type of roulette curve
trochoids; more specifically, they are epitrochoids. The cardioid is the special case in which the point generating the roulette lies on the rolling circle;
Limaçon
Polyhedron with six rhombi as faces
cube. Certain proportions of the rhombs give rise to some well-known special cases. These typically occur in both prolate and oblate forms. For a unit
Rhombohedron
Algorithm used for pathfinding and graph traversal
viewed as a special case of A* where the heuristic h ( n ) = 0 {\displaystyle h(n)=0} for all nodes; in turn, both Dijkstra and A* are special cases of dynamic
A*_search_algorithm
and township-level. Each of the levels, except for the provincial-level special administrative regions, corresponds to a level in the civil service. This
Administrative divisions of China
Administrative_divisions_of_China
Determining where a point is in relation to a coplanar polygon
plane lies inside, outside, or on the boundary of a polygon. It is a special case of point location problems and finds applications in areas that deal
Point_in_polygon
Polyhedron with 6 congruent rhombus faces
the trigonal trapezohedral honeycomb. The trigonal trapezohedra are special cases of trapezohedra, polyhedra with an even number of congruent kite-shaped
Trigonal_trapezohedron
Convex quadrilateral with at least one pair of parallel sides
quantity; the other two sides are the bases. As in Euclidean geometry, special cases include isosceles trapezoids whose legs are equal (as are the angles
Trapezoid
Speed and direction of a motion
is not the case anymore with special relativity in which velocities depend on the choice of reference frame. In the one-dimensional case, the velocities
Velocity
Problem of inverting exponentiation in groups
{\pmod {m}}} . Discrete logarithms are quickly computable in a few special cases, but no efficient method is known for computing them in general. Several
Discrete_logarithm
Partition of a simple polygon into triangles
non-intersecting interiors whose union is P. Triangulations may be viewed as special cases of planar straight-line graphs. When there are no holes or added points
Polygon_triangulation
Interface to call functions from other programming languages
such architectures are generally not considered FFIs. There are some special cases, in which the languages compile into the same bytecode VM, like Clojure
Foreign_function_interface
Topics referred to by the same term
design Special case, an instance that differs in a certain way from others of the type Case (goods), a package of related merchandise Cartridge case or casing
Case
Trapezoid symmetrical about an axis
are usually considered to be special cases of isosceles trapezoids, whereas parallelograms are not. Another special case is a trilateral trapezoid or
Isosceles_trapezoid
Family of power series in mathematics
confluent hypergeometric function as special cases, which in turn have many particular special functions as special cases, such as Bessel functions, and the
Generalized hypergeometric function
Generalized_hypergeometric_function
Method in electric circuit analysis
{\displaystyle {\begin{cases}{\text{Mesh 1, 2: }}-V_{s}+R_{1}I_{1}+R_{2}I_{2}=0\\{\text{Current source: }}I_{s}=I_{2}-I_{1}\end{cases}}\,} A dependent source
Mesh_analysis
purposes such as to help with legibility and accessibility, or to identify special cases. This list gives those most commonly encountered with Latin script.
List of typographical symbols and punctuation marks
List_of_typographical_symbols_and_punctuation_marks
EU via the Overseas Countries and Territories Association; and ten special cases that form part of the European Union (with the exception of the Faroe
Special territories of members of the European Economic Area
Special_territories_of_members_of_the_European_Economic_Area
Set of polynomials where any two are orthogonal to each other
they include the Chebyshev polynomials and the Legendre polynomials as special cases. These are frequently given by the Rodrigues' formula. The field of
Orthogonal_polynomials
Special subset of a partially ordered set
whence they originate. The notion dual to a filter is an order ideal. Special cases of filters include ultrafilters, which are filters that cannot be enlarged
Filter_(mathematics)
Problem in computer science
matching is a special case of set packing in which the size of all sets is 2 (the sets correspond to the edges). In this special case, a maximum-size
Set_packing
Concept in economics
1 {\displaystyle u(c)={\begin{cases}{\frac {c^{1-\eta }-1}{1-\eta }}&\eta \geq 0,\eta \neq 1\\\ln(c)&\eta =1\end{cases}}} where c {\displaystyle c} is
Isoelastic_utility
Concept in mathematics
century, they were completely classified in work of Shephard and Todd. Special cases include the symmetric group of permutations, the dihedral groups, and
Complex_reflection_group
Polyhedron made of congruent kites arranged radially
order-4 vertices and eight order-3 vertices (the rhombic dodecahedron is a special case). This is not to be confused with the hexagonal trapezohedron, which
Trapezohedron
Quasilinear first-order ordinary differential equation
obtains the Euler top. When the torques are due to gravity, there are special cases when the motion of the top is integrable. Their general vector form
Euler's equations (rigid body dynamics)
Euler's_equations_(rigid_body_dynamics)
Probability distribution
− k ≥ 0 0 x − k < 0. {\displaystyle (x-k)_{+}={\begin{cases}x-k&x-k\geq 0\\0&x-k<0.\end{cases}}} Since k {\displaystyle k} is an integer, we have that
Irwin–Hall_distribution
Function defined by a hypergeometric series
z) is a special function represented by the hypergeometric series, that includes many other special functions as specific or limiting cases. It is a
Hypergeometric_function
Surface drawn by a moving line passing through a fixed point
of their points. Patches of conical surfaces that avoid the apex are special cases of developable surfaces, surfaces that can be unfolded to a flat plane
Conical_surface
Process of reorganising electoral voter rolls in India
remaining cases under judicial review. The Calcutta High Court was asked to deploy serving and former district judges to oversee the pending cases. When the
Special_Intensive_Revision
Shape bounded by non-intersecting line segments
consisting of finitely many line segments. These polygons include as special cases the convex polygons, star-shaped polygons, and monotone polygons. The
Simple_polygon
System used to identify a specific location in Japan
prefecture. Most of these are called ken (県), but there are also three other special prefecture designations: to (都) for Tokyo, dō (道) for Hokkaido and fu (府)
Japanese_addressing_system
Theorem in projective geometry
with the special cases when opposite sides are parallel. This theorem is a generalization of Pappus's (hexagon) theorem, which is the special case of a degenerate
Pascal's_theorem
Classical averages studied in ancient Greece
their importance in geometry and music. They can now be regarded as special cases of a family of functions appropriately called the generalized means
Pythagorean_means
Inventory management identifier
European Article Number (EAN), and Australian Product Number (APN) are special cases of GTINs. SKU is also used in software and software as a service (SaaS)
Stock_keeping_unit
Construction in algebraic geometry
schemes is a fundamental construction. It has many interpretations and special cases. For example, the fiber product describes how an algebraic variety over
Fiber_product_of_schemes
Statement about integration on manifolds
theorem of calculus is the special case where the manifold is a line segment, Green’s theorem and Stokes' theorem are the cases of a surface in R 2 {\displaystyle
Generalized_Stokes_theorem
Repeating unit formed by the vectors spanning the points of a lattice
that generates the whole tiling using only translations. There are two special cases of the unit cell: the primitive cell and the conventional cell. The
Unit_cell
Matrix that commutes with its conjugate transpose
standard inner product of Cn. The spectral theorem for normal matrices is a special case of the more general Schur decomposition which holds for all square matrices
Normal_matrix
Ties Euler characteristic of a closed even-dimensional Riemannian manifold to curvature
Riemannian manifolds. In 1943, Carl B. Allendoerfer and André Weil proved a special case for extrinsic manifolds. In a classic paper published in 1944, Shiing-Shen
Chern–Gauss–Bonnet_theorem
Judicial official appointed by judge
of cases involving special masters are published at Cohen's Special Master Case Reporter. Harvard Law professor Lawrence Lessig was appointed special master
Special_master
Solutions of Legendre's differential equation
Legendre polynomials are also solutions of the differential equation in special cases, which, by virtue of being polynomials, have a large number of additional
Legendre_function
Mathematical result on systems of linear equations
T ranges over each nonempty subset of the set {1, 2, ..., x}. Other special cases of Rado's theorem are Schur's theorem and Van der Waerden's theorem
Rado's theorem (Ramsey theory)
Rado's_theorem_(Ramsey_theory)
NP-hard problem in combinatorial optimization
{\displaystyle x_{ij}={\begin{cases}1&{\text{the path goes from city }}i{\text{ to city }}j\\0&{\text{otherwise.}}\end{cases}}} It is because these are 0/1
Travelling_salesman_problem
On reflection in a spherical mirror
tangent to the circle and has the given points as its foci. Although special cases of this problem were studied by Ptolemy in the 2nd century CE, it is
Alhazen's_problem
Special case of the n-gram, where n is 3
Trigrams are a special case of the n-gram, where n is 3. They are often used in natural language processing for performing statistical analysis of texts
Trigram
Data used to detect errors in other data
goals,[clarification needed] see HMAC. Check digits and parity bits are special cases of checksums, appropriate for small blocks of data (such as Social Security
Checksum
Mathematical function having a characteristic S-shaped curve or sigmoid curve
term "sigmoid function" is used as a synonym for "logistic function". Special cases of sigmoid functions include the Gompertz curve (used in modeling systems
Sigmoid_function
Trapezoid whose sides are all tangent to the same circle
circle within the trapezoid: the incircle or inscribed circle. It is the special case of a tangential quadrilateral in which at least one pair of opposite
Tangential_trapezoid
Distribution of variables which satisfies a stability property under linear combinations
{\displaystyle \Phi ={\begin{cases}\tan \left({\frac {\pi \alpha }{2}}\right)&\alpha \neq 1\\-{\frac {2}{\pi }}\log |t|&\alpha =1\end{cases}}} μ ∈ R is a shift
Stable_distribution
Equation for function that computes iterated values
exp(sα(x)) into Böttcher's equation, F(f(x)) = F(x)s. The Abel equation is a special case of (and easily generalizes to) the translation equation, ω ( ω ( x ,
Abel_equation
Mathematical concept in algebra
for all j ≥ k {\displaystyle j\geq k} ). Both of these concepts are special cases of a more general concept of nilpotence that applies to elements of
Nilpotent_matrix
Contiguous part of a sequence of symbols
the best of times", but not a substring. Prefixes and suffixes are special cases of substrings. A prefix of a string S {\displaystyle S} is a substring
Substring
Raw, unedited film or video
sequences used in film and video editing, such as special effects and archive material (for special cases of this, see stock footage and B roll).[not in
Footage
Object with no referenced value or with defined neutral ("null") behavior
iterate over the result exactly as it would for a non-empty list, with no special-case handling required. The caller can still explicitly check whether the
Null_object_pattern
Curve traced by a point outside a circle rolling within another circle
{\operatorname {LCM} (r,R)}{R}}} (where LCM is least common multiple). Special cases include the hypocycloid with d = r and the ellipse with R = 2r and d
Hypotrochoid
State's representative in a French department or region
with national policy. At the commune level, prefects appoint a special delegation in cases of dissolution or resignation of the municipal council. In New
Prefect_(France)
US lawyer used to avoid a conflict of interest
activists argue that cases of police misconduct at the state and local level should be handled by special prosecutors. The terms special prosecutor, independent
Special_counsel
Longitudinal statistical study
each time. Time series and cross-sectional data can be thought of as special cases of panel data that are in one dimension only (one panel member or individual
Panel_data
Mathematical conjecture
conjecture are special cases of the conjecture for Shimura varieties, while in general the semiabelian case is not. However, special subvarieties of
Zilber–Pink_conjecture
Probability distribution
{1}{2}}\leq x\leq 1\end{cases}}} F ( x ) = { 2 x 2 for 0 ≤ x < 1 2 2 x 2 − ( 2 x − 1 ) 2 for 1 2 ≤ x ≤ 1 {\displaystyle F(x)={\begin{cases}2x^{2}&{\text{for
Triangular_distribution
BBC Radio 4 science programme
Cases. BBC Radio 4. "Love Neurons". Curious Cases. BBC Radio 4. "Furnishing with Fungi". Curious Cases. BBC Radio 4. "Aches and Rains". Curious Cases
Curious_Cases
Unsolved problem about inscribing a square in a Jordan curve
This is true if the curve is convex or piecewise smooth and in other special cases. The problem was proposed by Otto Toeplitz in 1911. Some early positive
Inscribed_square_problem
Class of quartic plane curves
} where it is assumed that c > 0 and c > d since the remaining cases either reduce to a single point or can be put into the given form with a
Hippopede
Practice of a person marrying a spouse of higher social status
Concepts such as hypergamy, hypogamy, and hypergyny could be considered special cases of mésalliance. References to Hindu law books from the Indian subcontinent
Hypergamy
On the distribution of prime numbers
numbers (where the twin prime conjecture and Goldbach conjecture are special cases of this equation) the generalization of methods using the Riemann zeta
Hilbert's_eighth_problem
American spy thriller television series
Lioness, also marketed as Special Ops: Lioness, is an American spy thriller television series created by Taylor Sheridan that premiered on July 23, 2023
Lioness_(American_TV_series)
Hardware interrupt that cannot be ignored
non-recoverable hardware errors, system debugging and profiling, and handling of special cases like system resets. Modern computer architectures typically use NMIs
Non-maskable_interrupt
Kana suffixes following kanji stems in Japanese written words
(intransitive) – in both cases the reading of 閉 is shi. 落ちる o-chiru to fall, 落とす o-tosu to drop – in both cases the reading of 落 is o. In other cases (different verbs
Okurigana
Mathematical category whose hom sets form Abelian groups
but this article reserves that term for certain special preadditive categories (see § Special cases below). The most obvious example of a preadditive
Preadditive_category
Medical technique for surgery
army surgeon Hermann Krukenberg. It remains in use today for certain special cases but is considered controversial and some surgeons refuse to perform
Krukenberg_procedure
Indian special public prosecutor (born 1953)
(born 30 March 1953) is an Indian special public prosecutor who has worked on prominent murder and terrorism cases. He has been nominated to the Rajya
Ujjwal_Nikam
Polynomial sequence
generalize Legendre polynomials and Chebyshev polynomials, and are special cases of Jacobi polynomials. They are named after Leopold Gegenbauer. Plot
Gegenbauer_polynomials
efforts by the court to constitute special courts for trying cases against legislators, close to 4,442 criminal cases involving 2,556 sitting members of
Special_courts_in_India
Family of continuous probability distributions
the imaginary unit. The inverse Gaussian and gamma distributions are special cases of the generalized inverse Gaussian distribution for p = −1/2 and b = 0
Generalized inverse Gaussian distribution
Generalized_inverse_Gaussian_distribution
Generalization of Markov jump processes
processes, can be derived as special cases among the class of Markov renewal processes, while Markov renewal processes are special cases among the more general
Markov_renewal_process
Landau distribution, Lévy distribution and normal distribution are special cases. The Linnik distribution The logistic distribution The map-Airy distribution
List of probability distributions
List_of_probability_distributions
The 2026 United States Senate special election in Ohio will be held on November 3, 2026, to elect a member of the United States Senate to represent the
2026 United States Senate special election in Ohio
2026_United_States_Senate_special_election_in_Ohio
Solid with six equal square faces
square faces of the same size. It is an example of a polyhedron. It is a special case of a cuboid, a parallelepiped, and a rhombohedron in which all six quadrilateral
Cube
Cylindrical equidistant map projection
projection or la carte parallélogrammatique projection), which includes the special cases of the Gall isographic projection and the plate carrée projection (also
Equirectangular_projection
Indian spiritual leader and convicted rapist (born 1941)
challenging the judgment of the special court. The counsel argues that the trial court ignored significant facts and claims that the case is a clear and disturbing
Asaram
American game show, launched 2005
regular cases rather than 6 gold cases. The contest is designed as an advertisement for the Deal or No Deal Club, a club where shoppers could get special discounts
Deal or No Deal (American game show)
Deal_or_No_Deal_(American_game_show)
Polyhedron defined by two triangles and three trapezoid faces
h} is the height from the base rectangle to the apex edge. In some special cases, the wedge is the right prism if all edges connecting triangles are
Wedge_(geometry)
Revolver cartridge designed by Elmer Keith and Smith & Wesson (S&W)
chambered for the .44 Magnum round, its parent case, the .44 Special, and the .44 Special's parent case, the .44 Russian all use 0.429 in (10.9 mm) diameter
.44_Magnum
Term in geometry
setting for this concept is in projective geometry where there will be no special cases due to parallel lines since all lines meet. Although stated here for
Perspective_(geometry)
Graph able to be partitioned into multiple independent sets
multipartite graphs, and their complement graphs, the cluster graphs, are special cases of cographs, and can be recognized in polynomial time even when the
Multipartite_graph
This article contains special characters. Without proper rendering support, you may see question marks, boxes, or other symbols. As of Unicode version
List_of_Unicode_characters
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SPECIAL CASES
SPECIAL CASES
SPECIAL CASES
SPECIAL CASES
SPECIAL CASES
SPECIAL CASES
SPECIAL CASES
SPECIAL CASES
SPECIAL CASES
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