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computational complexity theory, the set splitting problem is the following decision problem: given a family F of subsets of a finite set S, decide whether there exists
Set_splitting_problem
Mathematical problem
Necklace splitting is a picturesque name given to several related problems in combinatorics and measure theory. Its name and solutions are due to mathematicians
Necklace_splitting_problem
"minimum cover" problem). This is equivalent, by transposing the incidence matrix, to the hitting set problem. Set packing Set splitting problem Scheduling
List_of_NP-complete_problems
called the set splitting problem. Unsolved problem in mathematics What is the smallest collection of n {\displaystyle n} -uniform sets without Property
Property_B
mathematical logic, number theory, set theory, Ramsey theory, dynamical systems, and partial differential equations. Some problems belong to more than one discipline
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
Monotone NAE3SAT can also be interpreted as an instance of the set splitting problem, or as a generalization of graph bipartiteness testing to 3-uniform
Not-all-equal 3-satisfiability
Not-all-equal_3-satisfiability
About direct sums and exact sequences
split or a direct sum (neither 1. nor 3. follows): the problem is that the image of the right splitting need not be normal. What is true in this case is that
Splitting_lemma
Data structure for storing non-overlapping sets
operations of any type, up to n of which are MakeSet operations. The combination of path compression, splitting, or halving, with union by size or by rank,
Disjoint-set_data_structure
Question in abstract algebra
0} must split if B is also abelian. The Whitehead problem then asks: must A be free? This splitting requirement is equivalent to the condition Ext1(A
Whitehead_problem
Study of mathematical algorithms for optimization problems
set of available alternatives. It is generally divided into two subfields: discrete optimization and continuous optimization. Optimization problems arise
Mathematical_optimization
Edges that hit all cycles in a graph
vertex set of a given graph G {\displaystyle G} can be obtained from the solution to a minimum feedback arc set problem on a graph obtained by splitting every
Feedback_arc_set
Mathematical and computational problem
media, splitting a network prefix into multiple subnets, and technology mapping in FPGA semiconductor chip design. Computationally, the problem is NP-hard
Bin_packing_problem
Form of problem solving, often applied to repair failed products or processes
Mike (Nov 15, 2000). "Secrets of a super geek: Use half splitting to solve difficult problems". TechRepublic. Retrieved 22 October 2010.{{cite news}}:
Troubleshooting
Mathematical function used in optimisation
variable splitting is a decomposition method that relaxes a set of constraints. When the variable x {\displaystyle x} appears in two sets of constraints
Variable_splitting
Episode of Neon Genesis Evangelion
"Splitting of the Breast" is the sixteenth episode of the Japanese anime television series Neon Genesis Evangelion, which was created by Gainax. The episode
Splitting_of_the_Breast
1955. Let A = {ai} and B = {bj} be two complementary subsets, a splitting of the set of natural numbers {1, 2, …, 2n}, such that both have the same cardinality
Minimum_overlap_problem
Optical mesh network routing concept
This is equivalent to the set-splitting problem, which has been proven NP-complete. Therefore, the SRG diverse routing problem is also NP-complete. (SRLG
Shared_risk_resource_group
Algorithms which recursively solve subproblems
constant-bounded size, the work of splitting the problem and combining the partial solutions is proportional to the problem's size n {\displaystyle n} , and
Divide-and-conquer_algorithm
Election result affecting losing candidate
because of vote splitting from candidates to the right and left. ... Approval voting thus appears to solve the problem of vote splitting simply and elegantly
Spoiler_effect
Axiomatic set theories based on the principles of mathematical constructivism
Axiomatic constructive set theory is an approach to mathematical constructivism following the program of axiomatic set theory. The same first-order language
Constructive_set_theory
Problem in process of sharing surplus
game is called sequential bargaining. A two-person bargain problem consists of: A feasibility set F {\displaystyle F} , a closed subset of R 2 {\displaystyle
Cooperative_bargaining
Index of articles associated with the same name
formal interpretation of a logical theory exists. Specifically, we say that a set of clauses of the form Q 1 ∧ ⋯ ∧ Q n ∧ ¬ Q n + 1 ∧ ⋯ ∧ ¬ Q n + m → P {\displaystyle
Stratification_(mathematics)
Computational problem in graph theory
maximum flow problems involve finding a feasible flow through a flow network that obtains the maximum possible flow rate. The maximum flow problem can be seen
Maximum_flow_problem
Multidimensional search tree for points in k dimensional space
be set by the x value of the point, and its normal would be the unit x-axis. Since there are many possible ways to choose axis-aligned splitting planes
K-d_tree
Tasks in machine learning
training, test and validation sets is very dependent on the problem and data available. A training data set is a data set of examples used during the learning
Training, validation, and test data sets
Training,_validation,_and_test_data_sets
Statistical model validation technique
analysis will generalize to an independent data set. Cross-validation includes resampling and sample splitting methods that use different portions of the data
Cross-validation_(statistics)
Electricity-induced chemical reaction
production of fertilizers. Because the underlying chemical reaction (water splitting) does not produce greenhouse gases, the emissions footprint of electrolysis
Electrolysis_of_water
Use of braces for specifying sets
{Z} ,n=2k\}} — The set of all even integers, expressed in set-builder notation. In mathematics and more specifically in set theory, set-builder notation
Set-builder_notation
Internet error message
the proxy server is unable to satisfy a request for a page because of a problem with the remote host (such as hostname resolution failures or refused TCP
HTTP_404
Mathematical problem in operations research
practice however additional order splitting constraints may have to be taken into account. There is also a semi-continuous problem, where the produced rolls do
Cutting_stock_problem
satisfiability problem NP-completeness of the Boolean satisfiability problem Cantor's diagonal argument set is smaller than its power set uncountability
List_of_mathematical_proofs
Form of projection
gradient methods can be used instead. Proximal gradient methods starts by a splitting step, in which the functions f 1 , . . . , f n {\displaystyle f_{1},.
Proximal_gradient_method
Unsolved problem in mathematics
2017-08-29. Retrieved 2016-04-17. Igor R. Shafarevich, The imbedding problem for splitting extensions, Dokl. Akad. Nauk SSSR 120 (1958), 1217-1219. p. 5 of
Inverse_Galois_problem
Describes statistically the splitting of primes in a given Galois extension of Q
theorem, named after Nikolai Chebotarev, statistically describes the splitting of primes in a given Galois extension K {\displaystyle K} of the field
Chebotarev_density_theorem
Human writing practice
in computers, which are the subject of natural language processing. The problem is non-trivial, because while some written languages have explicit word
Text_segmentation
Theorem that any three objects in space can be simultaneously bisected by a plane
exist, as if the points are on a moment curve, the problem becomes equivalent to necklace splitting, which is PPA-complete. A linear-time algorithm that
Ham_sandwich_theorem
This is a list of fictional stories that, when composed, were set in the future, but the future they predicted is now present or past. The list excludes
List of stories set in a future now in the past
List_of_stories_set_in_a_future_now_in_the_past
Concept in machine learning
transform the test set) Duplicate rows between train/validation/test (for example, oversampling a dataset to pad its size before splitting; or, different
Leakage_(machine_learning)
Shell command for reporting and running with modified environment variables
found in both versions include -u, for unsetting variables, and -S, for splitting arguments (mainly in shebang). The following command line prints the current
Env
Type of fair division
-consensus-splitting, and ε {\displaystyle \varepsilon } -perfect-division. Problem of the Nile – there are infinitely many agents. Necklace splitting – the
Consensus_splitting
Study of optimal transportation and allocation of resources
to the study of optimal transportation and allocation of resources. The problem was formalized by the French mathematician Gaspard Monge in 1781. In the
Transportation theory (mathematics)
Transportation_theory_(mathematics)
Statistical procedure of testing by group
search in the binary-splitting algorithm to a complex set of sub-algorithms with overlapping test groups. As such, the problem of adaptive combinatorial
Group_testing
Machine learning algorithm
built by splitting the source set, constituting the root node of the tree, into subsets—which constitute the successor children. The splitting is based
Decision_tree_learning
fundamental set of rules or defined procedures that are typically designed and used to be a simpler way to solve a specific problem or a broad set of problems. Simply
List_of_algorithms
American system of telecommunications subsidies and fees
with E-rate funds was left unused in a warehouse for years." Lastly, a problem that has plagued the program is the long lag time between the overall application
Universal_Service_Fund
Irish actor
National Theatre in January 2015 to play Spike in Sir Tom Stoppard's The Hard Problem, which ran until 17 May 2015 and also had a worldwide broadcast via NT
Damien_Molony
Problem optimization method
simplifying a complicated problem by breaking it down into simpler sub-problems in a recursive manner. While some decision problems cannot be taken apart
Dynamic_programming
Weakly optimal allocation of resources
It is Pareto efficient, since any other discrete allocation (without splitting items) makes someone worse off. However, it is not fractionally Pareto
Pareto_efficiency
Creation of hip-hop music in a recording studio
Memories A track by Soulker self-described as a "Xavier Wulf Type Beat" Problems playing this file? See media help. Starting in the 2010s, amateur producers
Hip-hop_production
Astronomical high energy transient pulse
Stars: A Possible Link Between Fast Radio Bursts and the Missing Pulsar Problem". Monthly Notices of the Royal Astronomical Society: Letters. 450 (1):
Fast_radio_burst
Numerical integration scheme for Hamiltonian systems
specific problem, a family of high-order explicit non-canonical symplectic integrators can be constructed using the He splitting method. Splitting H {\textstyle
Symplectic_integrator
Reaction that splits an atomic nucleus
this nucleus into two alpha particles. The feat was popularly known as "splitting the atom", and would win them the 1951 Nobel Prize in Physics for "Transmutation
Nuclear_fission
Graphics structure
buckets of splitting planes, so that only at these splitting points, re-calculation of SAH is required. Bottom-up methods start with the input set as the
Bounding_volume_hierarchy
1989 historical novel by Ken Follett
convince Ellen, who has remained bitter towards Philip for his role in splitting up her and Tom, to testify on his behalf. At Philip's trial, Ellen's testimony
The_Pillars_of_the_Earth
Conceptual framework used in numerical analysis of surfaces and shapes
shapes with sharp corners and shapes that change topology (such as by splitting in two or developing holes). These characteristics make LSM effective
Level-set_method
Set of philosophical problems
This argument is called the "Dichotomy" because it involves repeatedly splitting a distance into two parts. An example with the original sense can be found
Zeno's_paradoxes
Putative longer version of the Gospel of Mark
Longer Gospel of Mark and the Synoptic Problem", in Foster, Paul; et al. (eds.), New Studies in the Synoptic Problem: Oxford Conference, April 2008: Essays
Secret_Gospel_of_Mark
Symbol "#!", used in computing
issue on the kernel end with splitting, it adds the requirement that env supports this particular extension. Another problem is scripts containing a carriage
Shebang_(Unix)
Tree-based ensemble machine learning methods
developed further by Ho in 1995. Ho established that forests of trees splitting with oblique hyperplanes can gain accuracy as they grow without suffering
Random_forest
Basic unit of taxonomic classification, below genus
species concept that emphasise monophyly or diagnosability may lead to splitting of existing species, for example in Bovidae, by recognising old subspecies
Species
Political party in the United Kingdom
on the march – and the most popular party on TikTok. There's just one problem". Sky News. Retrieved 20 July 2025. Walker, Peter (27 November 2024). "Constituencies
Reform_UK
Computer program for the Boolean satisfiability problem
w(2;3,17) and w(2;3,18) in 2010 where both the phases (splitting and solving the partial problems) were performed using DPLL. One strategy towards a parallel
SAT_solver
Biographical film by Antoine Fuqua
personal life, focusing instead on his psychological and artistic journey. Splitting Michael into two films was considered during production, but the production
Michael_(2026_film)
Measurement method using interference of waves
Jamin developed the first single-beam interferometer (not requiring a splitting aperture as the Arago interferometer did) in 1856. In 1881, the American
Interferometry
Story from the Old Testament
announces an absurd procedure, which is reasonable in some perverse way: splitting the baby, according to the principle of compromise; or a tug of war, in
Judgement_of_Solomon
Path-finding using high-weight graph edges
In graph algorithms, the widest path problem is the problem of finding a path between two designated vertices in a weighted graph, maximizing the weight
Widest_path_problem
2025 American comedy television series
Stacey, Pat (March 26, 2025). "'The Studio' review: Seth Rogan's side-splitting Hollywood satire could be the best comedy of the year". The Irish Independent
The_Studio_(TV_series)
Technique invented by Paul Cohen for proving consistency and independence results
existence of sets that are "too complex for M {\displaystyle M} to describe". Forcing avoids such problems by requiring the newly introduced set X {\displaystyle
Forcing_(mathematics)
Japanese train type
associated discontinuation of service by these sets on the Hokuhoku Line. 108 cars were built in 9-car sets for a total of 12 trainsets. 683-4000 series
683_series
Character encoding
recipient. Some applications alert the user when a message will require splitting, or even send a longer message as a multimedia message (MMS). Since release
GSM_03.38
Special low-energy state in quantum mechanics
electron and shows splitting of spectral lines into a doublet, and a triplet state has two unpaired electrons and shows threefold splitting of spectral lines
Singlet_state
Type of mathematical proof
the statement, it does not hold. Proof by cases is commonly used when a problem naturally separates into distinct categories, such as: Even and odd integers
Proof_by_exhaustion
Declarative logic programming language
The decision problem formulation of Datalog evaluation is as follows: "Given a Datalog program P split into a set of facts (EDB) E and a set of rules R
Datalog
Computer science problem
The firing squad synchronization problem is a problem in computer science and cellular automata in which the goal is to design a cellular automaton that
Firing squad synchronization problem
Firing_squad_synchronization_problem
English television personality (born 1988)
dated for a year before splitting up in August 2017 In August 2020, Thomas admitted that he and his twin have a drinking problem; he got sober and celebrated
Scott_Thomas_(TV_personality)
2.71828...; base of natural logarithms
produces the nth partial sum of the series above. This method uses binary splitting to compute e with fewer single-digit arithmetic operations and thus reduced
E_(mathematical_constant)
UK parliamentary by-election
Retrieved 26 May 2026. Hymas, Charles (24 May 2026). "Farage: Musk risks splitting Right in Burnham by-election". The Telegraph. Retrieved 25 May 2026. Quinn
2026_Makerfield_by-election
Secure communication method
remaining single photon to Bob. This is the basis of the photon number splitting attack, where Eve stores these extra photons in a quantum memory until
Quantum_key_distribution
Method for dividing a secret among multiple parties
Secret sharing (also called secret splitting) refers to methods for distributing a secret among a group, in such a way that no individual holds any intelligible
Secret_sharing
Mathematical framework for investment risk
still have merit. A few studies have argued that "naive diversification", splitting capital equally among available investment options, might have advantages
Modern_portfolio_theory
Coalition of different political groupings
Press. 20 May 1935. Retrieved 4 May 2026. "Labor Ticket to Oppose Rossi Set Up at Conference". Western Worker. 22 July 1935. Retrieved 5 May 2026. "REDFERN
Popular_front
Substrings of length k contained in a biological sequence
are present in the genome. Furthermore, splitting the k-mers into smaller sizes also helps alleviate the problem of different initial read lengths. In this
K-mer
Home video game console
dirt and dust than an industry-standard card edge connector. The design problems were exacerbated by Nintendo's choice of materials. The console slot nickel
Nintendo_Entertainment_System
Cooper (May 10, 2022). "What Are Incursions? Marvel's New Multiverse Problem Explained". Screen Rant. Archived from the original on September 13, 2023
Features of the Marvel Cinematic Universe
Features_of_the_Marvel_Cinematic_Universe
2019 film by Ric Roman Waugh
the perimeter, killing the would-be attackers as he and Banning escape. Splitting up, Clay goes to Banning's house and saves Leah and Lynne from a kidnapping
Angel_Has_Fallen
2024 film by Coralie Fargeat
exception of the close up of the eye splitting. Shots of the back splitting were achieved with the dummies on a raised set, operated by 5–6 puppeteers below
The_Substance
the first Catholic priest in Germany who outed himself in public without problems by his bishop, in February 2019. Pierre Valkering became the first Catholic
List of LGBTQ firsts by year (2010s)
List_of_LGBTQ_firsts_by_year_(2010s)
Unicode character block
K5-dddd to K5-hhhh, 2007-09-24 L2/08-051 Jenkins, John (2008-01-28), Splitting Up Unihan.txt L2/08-052 Jenkins, John (2008-01-28), Unihan Frequency Data
CJK Unified Ideographs (Unicode block)
CJK_Unified_Ideographs_(Unicode_block)
Iterative method in conformal mapping
each of which the Dirichlet problem could be solved, Schwarz described an iterative method for solving the Dirichlet problem in their union, provided their
Schwarz_alternating_method
Spacetime manifold
the "leakage" of information or energy described above. The fundamental splitting theorem by Geroch (1970) establishes the equivalence between global hyperbolicity
Globally_hyperbolic_spacetime
Proof that is not easily verified by hand
since been applied to other arguments, mainly those with excessive case splitting and/or with portions dispatched by a difficult-to-verify computer program
Non-surveyable_proof
Potential business transaction
Netflix and Paramount that effectively shelved WBD's previous plans of splitting into two companies. Paramount began submitting unsolicited offers to acquire
Proposed acquisition of Warner Bros. Discovery by Paramount Skydance
Proposed_acquisition_of_Warner_Bros._Discovery_by_Paramount_Skydance
Dynamical Stark effect
dipole transition. In this case, the alternating field has the effect of splitting the two bare transition states into doublets or "dressed states" that
Autler–Townes_effect
discovered during Dionysus' invasion of India and communicate via ear-splitting shrieks. They were part of Tarquin, Caligula, and Commodus' army who attacked
List of characters in mythology novels by Rick Riordan
List_of_characters_in_mythology_novels_by_Rick_Riordan
Logic puzzle forming a picture in a grid
joining the two blocks by a box would produce a too large block A box if splitting the two blocks by a space would produce a too small block that does not
Nonogram
Alex (October 17, 2018). "The Conners, The Flash, and more adjust up, Splitting Up Together and Black-ish adjust down: Tuesday final ratings". TV by the
List_of_The_Rookie_episodes
Optimization algorithm
Combettes and J.-C. Pesquet, "Proximal splitting methods in signal processing," in: Fixed-Point Algorithms for Inverse Problems in Science and Engineering, (H
Dykstra's projection algorithm
Dykstra's_projection_algorithm
British rock musician and songwriter (1946–1991)
10 position in the UK singles chart. I won't be touring on my own or splitting up with Queen. Without the others I would be nothing. The press always
Freddie_Mercury
Type of research environment
where a group of people work together to generate solutions to complex problems. This meaning of the word originates from the visioning work of a large
Collaboratory
Application layer protocol
responses are broken down and transmitted in small packets to almost solve the problem of the HOLB (head-of-line blocking); a push capability to allow server
HTTP
SET SPLITTING-PROBLEM
SET SPLITTING-PROBLEM
Surname or Lastname
English
English : variant spelling of See.
Girl/Female
Indian, Sanskrit
Splitting; Breaking
Female
English
Short form of English Elizabeth, BET means "God is my oath."Â
Surname or Lastname
English
English : perhaps a variant of Sait, from the Old English personal name Sǣgēat (‘sea Geat’).
Surname or Lastname
English and German
English and German : topographic name for someone who lived by the sea-shore or beside a lake, from Middle English see ‘sea’, ‘lake’ (Old English sǣ), Middle High German sē. Alternatively, the English name may denote someone who lived by a watercourse, from an Old English sēoh ‘watercourse’, ‘drain’.
Boy/Male
Indian, Sanskrit
Splitting; Opening; Moving Slowly
Female
Egyptian
, a sister of Sekherta.
Boy/Male
Indian, Sanskrit
Breaking; Splitting
Female
Egyptian
, the wife of Osirtesen.
Female
Egyptian
, a wife and daughter of Antef.
Female
Egyptian
, a sister of Sekherta.
Male
Hindi/Indian
(सेठ) Hindi name derived from the Sanskrit word setu, SETH means "bridge." Compare with other forms of Seth.
Female
Egyptian
, an uncertain goddess.
Male
English
Short form of English Stephen, STE means "crown."
Female
Egyptian
, the wife of the usurper Sipthah.
Female
Egyptian
, second wife of Antef.
Female
Egyptian
, the mother of Fai-hor-ou-oer.
Male
English
Anglicized form of Hebrew Sheth, SETH means "buttocks." In the bible, this is the name of the third son of Adam and Eve. Compare with other forms of Seth.
Boy/Male
Egyptian Hebrew Swedish
Son of Seb and Nut.
Male
Hebrew
Variant spelling of Hebrew Sheth, SHET means "buttocks."
SET SPLITTING-PROBLEM
SET SPLITTING-PROBLEM
Boy/Male
Egyptian
God of the moon.
Boy/Male
Native American
Grandfather.
Girl/Female
American, British, English, Irish
Brave; Alert; A Phonetic Form of the Initials Kc; Similar to the Irish Name Casey; Vigorous; Watchful
Surname or Lastname
English
English : from a pet form of the female personal name Isabel (see Hibbs 2).English : from a pet form of the personal name Hilbert.
Surname or Lastname
English
English : metronymic from the medieval female personal name Mab(be) (see Mapp).
Boy/Male
Arabic, Muslim
Ambassador; Handsome
Girl/Female
Indian, Modern
Blessful
Girl/Female
Hindu
Intelligence, A bird
Boy/Male
Tamil
Bala Subramani | பாள ஸà¯à®ªà¯à®°à®®à®¨à¯€Â
Lord of Subramaniam
Boy/Male
Tamil
Original name of Karna
SET SPLITTING-PROBLEM
SET SPLITTING-PROBLEM
SET SPLITTING-PROBLEM
SET SPLITTING-PROBLEM
SET SPLITTING-PROBLEM
n.
Posture, or way of sitting, on horseback.
p. pr. & vb. n.
of Sit
imp. & p. p.
of Set
n.
The actual presence or meeting of any body of men in their seats, clothed with authority to transact business; a session; as, a sitting of the judges of the King's Bench, or of a commission.
n.
A sitting up of a woman after her confinement, to receive and entertain her friends.
n.
The act of cleaving or splitting.
v. t.
To compose; to arrange in words, lines, etc.; as, to set type; to set a page.
a.
Regular; uniform; formal; as, a set discourse; a set battle.
n.
See Set, n., 2 (e) and 3.
v. t.
To cause to be seated or in a sitting posture; to furnish a seat to; -- used reflexively.
n.
Act of cleaving or splitting.
v. i.
To fit or suit one; to sit; as, the coat sets well.
n.
A sitting; a right to sit; regular or appropriate place of sitting; as, a seat in a church; a seat for the season in the opera house.
v. t.
To assign a seat to, or the seats of; to give a sitting to; as, to seat a church, or persons in a church.
n.
The act or time of sitting, as to a portrait painter, photographer, etc.
a.
Fixed in position; immovable; rigid; as, a set line; a set countenance.
a.
Deafening; disagreeably loud or shrill; as, ear-splitting strains.
p. pr. & vb. n.
of Split
v. t.
To cause to sit; to make to assume a specified position or attitude; to give site or place to; to place; to put; to fix; as, to set a house on a stone foundation; to set a book on a shelf; to set a dish on a table; to set a chest or trunk on its bottom or on end.