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Mathematical function used in optimisation
mathematics and computer science, variable splitting is a decomposition method that relaxes a set of constraints. When the variable x {\displaystyle x} appears
Variable_splitting
approximations for Max-SAT. Variable splitting is a tool to find upper and lower bounds on a Max-SAT problem. It involves splitting a variable a {\displaystyle a}
Boolean satisfiability algorithm heuristics
Boolean_satisfiability_algorithm_heuristics
User-friendly interactive Unix shell
expanding file paths (with wildcards and brace expansion), environment variables, and command-specific completions. Command-specific completions, including
Fish_(Unix_shell)
Energy level splitting due to strong light-matter coupling
Rabi splitting is the separation of a single resonance into two distinct energy or frequency modes when a light field strongly couples to a matter excitation
Rabi_splitting
Shell command for reporting and running with modified environment variables
unsetting variables, and -S, for splitting arguments (mainly in shebang). The following command line prints the current environment variables to standard
Env
Signal processing technique
minimization problems which are then solved with a combination of variable splitting and augmented Lagrangian (FFT-based fast solver with a closed form
Compressed_sensing
Nozzle that converts the internal energy of a working gas into propulsive force
throat area is variable. Nozzles for supersonic flight speeds, at which high nozzle pressure ratios are generated, also have variable area divergent sections
Propelling_nozzle
decomposition Dantzig–Wolfe decomposition Theory of two-level planning Variable splitting Basic solution (linear programming) — solution at vertex of feasible
List of numerical analysis topics
List_of_numerical_analysis_topics
GNU replacement for the Bourne shell
Environment variables are signified by all capital letters. Environment variables include UNIX variables like LESS_SIGUSR1, and Bourne shell variables such as
Bash_(Unix_shell)
Machine learning algorithm
when the subset at a node has all the same values of the target variable, or when splitting no longer adds value to the predictions. This process of top-down
Decision_tree_learning
Abstract coordinate depicting chemical reaction progress
coordinates may be defined by using chemically intuitive variables like bond lengths, or splitting probabilities (also called committors), or using the eigenfunction
Reaction_coordinate
Variable containing a public key in Windows NT 4.0
_NSAKEY was a variable name discovered in Windows NT 4 SP5 in 1999 by Andrew D. Fernandes of Cryptonym Corporation. The variable contained a 1024-bit public
NSAKEY
Compiler optimization technique
the need for the variable p inside the loop body. Loop peeling was introduced in gcc in version 3.4. More generalised loop splitting was added in GCC
Loop_splitting
Tree-based ensemble machine learning methods
for random forests considers as important the variables which decrease a lot the impurity during splitting. It is described in the book Classification and
Random_forest
Probability distribution
random variables having two other known distributions. Given two (usually independent) random variables X and Y, the distribution of the random variable Z
Ratio_distribution
French psychoanalyst and writer (1901–1981)
ISBN 978-0-820481-71-5. Johnston, Adrian (2005) Time Driven: Metapsychology and the Splitting of the Drive, Evanston: Northwestern University Press. Kovacevic, Filip
Jacques_Lacan
Species of bird
The variable hawk (Geranoaetus polyosoma) is a polymorphic species of bird of prey in the family Accipitridae. It is widespread and often common in open
Variable_hawk
not-all-equal satisfiability problem without negated variables. Additionally, Ek-set splitting equals non-monochromatic graph coloring of k-uniform hypergraphs
Set_splitting_problem
Relativistic interaction in quantum physics
of the positively charged nucleus. This phenomenon is detectable as a splitting of spectral lines, which can be thought of as a Zeeman effect product
Spin–orbit_interaction
that variables are never negated), by Schaefer's dichotomy theorem. Monotone NAE3SAT can also be interpreted as an instance of the set splitting problem
Not-all-equal 3-satisfiability
Not-all-equal_3-satisfiability
Replacing placeholders in a string with values
Find variable reference (placeholder), replace it with its variable value. This algorithm offers no cache strategy. Split and join string: splitting the
String_interpolation
Scripting language created in 1994
PHP variables are declared and initialized. <?php $name = 'John'; // variable of string type being declared and initialized $age = 18; // variable of integer
PHP
Electric guitar pickup
a sound closer to that of two single-coil pickups used together. Coil splitting is often wrongly referred to as a coil tapping. Coil taps are most commonly
Humbucker
Gain from observing another random variable
target variable are preferred, since mutual information is equivalent to the expected reduction in entropy (information gain) obtained by splitting on that
Information gain (decision tree)
Information_gain_(decision_tree)
Discrete probability distribution
kicks could be well modeled by a Poisson distribution.. A discrete random variable X is said to have a Poisson distribution with parameter λ>0 if it has a
Poisson_distribution
Addition of several numbers or other values
where i is the "index of summation" or "dummy variable", ai is an indexed variable representing each term of the sum; m is the "lower bound
Summation
Partition into two separate parts
over one and not the other. Treating continuous variables or multicategorical variables as binary variables is called dichotomization. The discretization
Dichotomy
Data structure that tracks variable use and definitions
/* 2, some uses of x2 */ The process of splitting x into two separate variables is called live range splitting. See also static single assignment form
Use-define_chain
Process in machine learning and statistics
Regularized trees penalize using a variable similar to the variables selected at previous tree nodes for splitting the current node. Regularized trees
Feature_selection
Type of structure in atomic physics
shifts in otherwise degenerate electronic energy levels and the resulting splittings in those electronic energy levels of atoms, molecules, and ions, due to
Hyperfine_structure
Types of electrical transformer
through a sliding carbon brush, an autotransformer with a near-continuously variable turns ratio can be obtained, allowing for wide voltage adjustment in very
Transformer_types
Transforms equations for numerical solution
{\displaystyle Ax-b=0.} A stationary iterative method is determined by the matrix splitting A = M − N {\displaystyle A=M-N} and the iteration matrix C = I − M − 1
Preconditioner
Human writing practice
emically regard collocations and compounds. Many English compound nouns are variably written (for example, ice box = ice-box = icebox; pig sty = pig-sty = pigsty)
Text_segmentation
Concept in machine learning
to pad its size before splitting; or, different rotations/augmentations of a single image; bootstrap sampling before splitting; or duplicating rows to
Leakage_(machine_learning)
Mathematical procedure for reducing the variance of statistical estimators
obtained for a given simulation or computational effort. Every output random variable from the simulation is associated with a variance which limits the precision
Variance_reduction
Decision tree algorithm
that this was Quinlan's third attempt at a model based on entropy-based splitting, and the term dichotomiser is a misnomer as it implies a binary split
ID3_algorithm
Secure communication method
families of protocols: discrete variable, continuous variable and distributed phase reference coding. Discrete variable protocols were the first to be
Quantum_key_distribution
Quantum mechanical property
space is represented by its spatial wave function, and specified by three variables (as with x, y, and z Cartesian coordinates). The square of an electron's
Orbital_motion_(quantum)
Unix shell
standard specification of the sh language (such as eliminating implicit IFS-splitting and globbing upon unquoted parameter expansions)[jargon] and adds substantially
Z_shell
Text format
4799.00 This example illustrates that a CSV cannot be parsed by naïvely splitting the data by line terminators into lines, and then each line by commas
Comma-separated_values
Proof". The Splitting algorithm is based on the following observation: Given a proof of unsatisfiability π {\displaystyle \pi } and a variable x {\displaystyle
Resolution proof compression by splitting
Resolution_proof_compression_by_splitting
Type of assignment operator
statement where an operator takes a variable as one of its arguments and then assigns the result back to the same variable. A simple example is x += 1 which
Augmented_assignment
Constellation in the northern celestial hemisphere
"Delta Scuti and the Delta Scuti Variables". Variable Star of the Season. AAVSO (American Association of Variable Star Observers). Retrieved 3 November
Boötes
the input field separators or internal field separators or $IFS shell variable holds characters used to separate text into tokens. The value of IFS, (in
Input_Field_Separators
Framework explaining how competitor traits can maintain species diversity
PMID 11120650. Chesson, Peter (June 1994). "Multispecies Competition in Variable Environments". Theoretical Population Biology. 45 (3): 227–276. Bibcode:1994TPBio
Coexistence_theory
Several equations of degree 1 to be solved simultaneously
system) is a collection of two or more linear equations involving the same variables. For example, { 3 x + 2 y − z = 1 2 x − 2 y + 4 z = − 2 − x + 1 2 y −
System_of_linear_equations
experimental unit (e.g., a person or population of people). Specific variables regarding a population (e.g., age and income) may be specified and obtained
Data_analysis
Multidimensional search tree for points in k dimensional space
point. Every non-leaf node can be thought of as implicitly generating a splitting hyperplane that divides the space into two parts, known as half-spaces
K-d_tree
Splitting of financial risk among parties
In insurance, co-insurance or coinsurance is the splitting or spreading of risk among multiple parties. In the U.S. insurance market, co-insurance is
Co-insurance
Application layer protocol
needs an application session, it implements it via HTTP cookies, hidden variables in a web form or another mechanism. Typically, to start a session, an
HTTP
Clade of animals whose mouth develops before the anus
embryonic development. This nature has since been discovered to be extremely variable among Protostomia's members, although the reverse is typically true of
Protostome
Index of articles associated with the same name
{\displaystyle \sigma } as the variable x. A formula is stratified if and only if it is possible to assign types to all variables appearing in the formula in
Stratification_(mathematics)
Decision tree training concept
describes the potential worth of splitting a branch from a node. This in turn is the intrinsic value that the random variable possesses and will be used to
Information_gain_ratio
Species of bird
differences between both taxa led to the IUCN and Clements Checklist splitting both, with the International Ornithological Congress also making this
Malayan_crested_fireback
Class of jawless fish
Jurassic, around 163 million years ago, with the modern families likely splitting from each other sometime between the Middle Jurassic and the end of the
Lamprey
1942–1945 Japanese rule in West Sumatra
military institutions, shaped heavily by Japanese influences. Two key variables, control and skills, defined these standards. Training, overseen by Japanese
Japanese occupation of West Sumatra
Japanese_occupation_of_West_Sumatra
Programming paradigm in which many processes are executed simultaneously
the time spent on other computation, further parallelization (that is, splitting the workload over even more threads) increases rather than decreases the
Parallel_computing
Computer program for the Boolean satisfiability problem
Boolean satisfiability problem (SAT). On input a formula over Boolean variables, such as "(x or y) and (x or not y)", a SAT solver outputs whether the
SAT_solver
Data structures used in spatial indexing
(satisfying the minimum fill). There are other splitting strategies such as Greene's Split, the R*-tree splitting heuristic (which again tries to minimize overlap
R-tree
Deleting a graph edge and merging its nodes
known as a quotient graph. Vertex cleaving, which is the same as vertex splitting, means one vertex is being split into two, where these two new vertices
Edge_contraction
Scientific procedure performed to validate a hypothesis
controls, which are designed to minimize the effects of variables other than the single independent variable. This increases the reliability of the results, often
Experiment
Design of experiments to collect similar contexts together
similar to one another in groups (blocks) based on one or more variables. These variables are chosen carefully to minimize the effect of their variability
Blocking_(statistics)
Day Marks the day Bahamas became a fully independent nation, officially splitting from the United Kingdom in 1973. A week-long celebration is held leading
Public holidays in the Bahamas
Public_holidays_in_the_Bahamas
Every polynomial has a real or complex root
or the d'Alembert–Gauss theorem, states that every non-constant single-variable polynomial with complex coefficients has at least one complex root. This
Fundamental theorem of algebra
Fundamental_theorem_of_algebra
Berthing mechanism used to connect ISS modules
1996 (ACBM) as part of the transition process. This period also saw the splitting of the ICD into dedicated Part 1 (interface requirements) and Part 2 (physical
Common_Berthing_Mechanism
Computer compiler optimization technique
live-range splitting is used, evicted variables are spilled everywhere: store instructions are inserted as early as possible, i.e., just after variable definitions;
Register_allocation
Different states of quantum systems
collapse Consistent histories Copenhagen de Broglie–Bohm Ensemble Hidden-variable Many-worlds Objective-collapse QBism Quantum logic Relational Superdeterminism
Energy_level
Form of causal modeling that fit networks of constructs to data
latent variables (variables thought to exist but which can't be directly observed). Additional causal connections link those latent variables to observed
Structural_equation_modeling
Quantum mechanical effect
negligibly small compared to this electric interaction. Exchange energy splittings are very elusive to calculate for molecular systems at large internuclear
Exchange_interaction
Optical device which splits a beam of light in two
demonstrate consequences of quantum entanglement and exclude local hidden-variable theories Wheeler's delayed choice experiment of 1978, 1984 etc., to test
Beam_splitter
court; Harvey's longstanding belief is that a courtroom has too many variables for him to be able to control, a tenet that was instilled into him by
List_of_Suits_characters
Algebraic field extension
S {\displaystyle S} of K [ x ] {\displaystyle K[x]} , there exists a splitting field of S {\displaystyle S} over K {\displaystyle K} . An algebraic closure
Algebraic_closure
Technology museum in Sydney, Australia
effect. There is a house setup called Ecohouse where people toggle light variables to see the outcome as well as other energy use simulators and a 'ecological
Powerhouse_Museum
On the effects of changing the ring of ''K''-groups
t^{-1}]).} For x ∈ G i − 1 ( R ) {\displaystyle x\in G_{i-1}(R)} , define a splitting map using the exterior product with [ t ] {\displaystyle [t]} : s ( x
Fundamental theorem of algebraic K-theory
Fundamental_theorem_of_algebraic_K-theory
loop (sometimes called well-behaved loop), is a loop in which the loop variable starts at 0 (or any constant) and gets incremented by one at every iteration
Normalized_loop
Operator shifting particles and fields by a certain amount in a certain direction
quantum formulation, the expectation values play the role of the classical variables. For example, if a particle is in a state | ψ ⟩ {\displaystyle |\psi \rangle
Translation operator (quantum mechanics)
Translation_operator_(quantum_mechanics)
Type of search algorithm
check is done assuming the opposite truth value. This is known as the splitting rule, as it splits the problem into two simpler sub-problems. The simplification
DPLL_algorithm
synonymous with it, for example ב״ן Ban. Other abbreviations contain a variable gematria component alongside other words, such as the chapter references
List_of_Hebrew_abbreviations
Traditional Irish distilled beverage
needed] The 1959 film Darby O'Gill and the Little People features Darby splitting a jug of poitín with the King of the leprechauns as the two engage in
Poitín
Autoimmune blistering diseases
within the cleft. A superficial dermal inflammatory cell infiltration of variable intensity with lymphocytes, eosinophils, and neutrophils. Eosinophilic
Pemphigoid
Conversion of character sequences into token sequences in computer science
be determined until the semantic analysis phase since typedef names and variable names are lexically identical but constitute different token classes. Thus
Lexical_analysis
State of steady internal conditions maintained by living things
sodium, potassium, and calcium are all homeostatically regulated variables. These variables are generally maintained within physiological ranges rather than
Homeostasis
Ability of artificial intelligence to play different games
the following definition of games: Games are based on rules, they have variable outcomes, different outcomes give different values, player effort influences
General_game_playing
Personal computer sold in Britain
documentation and analysis is as follows: CPU: Synertek SY6502A Clock rate: variable. CPU runs at 2 MHz when accessing ROM and 1 MHz when accessing RAM. The
Acorn_Electron
9, 2026. Retrieved September 9, 2026. "Texas Toplines and Demographic Variables" (PDF). Overton Insights. Retrieved September 2, 2026. "University of
2026 United States House of Representatives elections in Texas
2026_United_States_House_of_Representatives_elections_in_Texas
Algorithms which recursively solve subproblems
example, if (a) the base cases have constant-bounded size, the work of splitting the problem and combining the partial solutions is proportional to the
Divide-and-conquer_algorithm
Operation in calculus
For example, a line integral is defined for functions of two or more variables, and the interval of integration is replaced by a curve connecting two
Integral
Measuring device
available offering accurate results in less time. The Dipstick can have a variable sampling rate from 75mm up to 300mm. F-Number measurement procedures were
Dipstick
Type of mathematical proof
ground open Free/bound variable Language Metalanguage Logical connective ¬ ∨ ∧ → ↔ = Predicate functional variable propositional variable Proof Quantifier ∃
Proof_by_exhaustion
Three-shaft planetary gearset
Antikythera mechanism – ancient mechanical astronomical computer Continuously variable transmission (CVT) – automatic transmission Cycloidal drive Epicycloid
Epicyclic_gearing
Political party in Brazil
opposition. The Progressive Party supported the impeachment of Dilma Rousseff, splitting its alliance with the Worker's Party. This party was most affected by
Progressistas
Optimal job scheduling with some jobs done in parts
break jobs apart. They can be broadly classified into preemption and splitting. In the preemption variants, different parts of a job must be processed
Fractional_job_scheduling
Yellow hypergiant star in the constellation Cassiopeia
Rho Cassiopeiae is a single star, and is categorized as a semiregular variable. As a yellow hypergiant, it is one of the rarest types of stars. Only a
Rho_Cassiopeiae
Country mostly on the Australian continent
Hunter (15 July 2022). "The Barassi Line: a globally unique divider splitting Australia's footy fans". The Conversation. Retrieved 4 February 2024.
Australia
Large self-illuminated object in space
the first spectroscopic binary in 1899 when he observed the periodic splitting of the spectral lines of the star Mizar in a 104-day period. Detailed
Star
Decision support tool
easily change and test the variables that could affect the accuracy and reliability of the decision tree-model. The node splitting function used can have
Decision_tree
American multinational technology conglomerate
European Union Commissioner for Competition Margrethe Vestager stated that splitting Facebook should be done only as "a remedy of the very last resort", and
Meta_Platforms
problems like deciding between cake or pudding, picking a desk on Endless Variables Tuesday in Mrs. Salter's math class, choosing between Girl Jordan's mechanical
List of The Loud House episodes
List_of_The_Loud_House_episodes
Mathematics of smooth surfaces
Euclidean space. Surfaces naturally arise as graphs of functions of a pair of variables, and sometimes appear in parametric form or as loci associated to space
Differential geometry of surfaces
Differential_geometry_of_surfaces
Obsolete physics theory
with the light curves, implying highly non-Keplerian orbits, and (c) splitting of the spectral lines (note simultaneous arrival of blue- and red-shifted
Emission_theory_(relativity)
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