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List of problems given as homework
A problem set, sometimes shortened as pset, is a teaching tool used by many universities. Most courses in physics, math, engineering, chemistry, and computer
Problem_set
Classical problem in combinatorics
The set cover problem is a classical question in combinatorics, computer science, operations research, and complexity theory. Given a set of elements
Set_cover_problem
Unrelated vertices in graphs
. The optimization problem of finding such a set is called the maximum independent set problem. It is a strongly NP-hard problem. As such, it is unlikely
Independent set (graph theory)
Independent_set_(graph_theory)
Yes-or-no question that cannot ever be solved by a computer
decision problem is a subset of the natural numbers. For decision problems on natural numbers, the set consists of those numbers that the decision problem answers
Undecidable_problem
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
Problem in computer science
In computability theory, the halting problem is the decision problem of, given an arbitrary computer program and an input, determining whether said program
Halting_problem
optimization, the set TSP, also known as the generalized TSP, group TSP, One-of-a-Set TSP, Multiple Choice TSP or Covering Salesman Problem, is a generalization
Set_TSP_problem
Partition into subsets from a given family
relation between a set of choices and a set of constraints. For example, an exact cover problem is equivalent to an exact hitting set problem, an incidence
Exact_cover
The geometric set cover problem is the special case of the set cover problem in geometric settings. The input is a range space Σ = ( X , R ) {\displaystyle
Geometric_set_cover_problem
Problem in combinatorial optimization
The knapsack problem is the following problem in combinatorial optimization: Given a set of items, each with a weight and a value, determine which items
Knapsack_problem
Set of computational problems stated by Richard Karp (1973)
NP-complete problems are a set of computational problems which are NP-complete. In his 1972 paper, "Reducibility Among Combinatorial Problems", Richard
Karp's 21 NP-complete problems
Karp's_21_NP-complete_problems
Subfield of mathematical optimization
finite set of objects, where the set of feasible solutions is discrete or can be reduced to a discrete set. Typical combinatorial optimization problems are
Combinatorial_optimization
Shape containing unit line segments in all directions
three-dimensional space, forms a Kakeya set. Much of the research in this area has studied the problem of how small such sets can be. Abram Besicovitch showed
Kakeya_set
NP-hard problem in combinatorial optimization
art. Canadian traveller problem Exact algorithm Route inspection problem (also known as "Chinese postman problem") Set TSP problem Seven Bridges of Königsberg
Travelling_salesman_problem
Algorithmic problem on pairs of sequences
within the original sequences. The problem of computing longest common subsequences is a classic computer science problem. Because it is polynomial and has
Longest_common_subsequence
American sci-fi television series
3 Body Problem is an American science fiction television series created by David Benioff, D. B. Weiss, and Alexander Woo. It is the third adaptation of
3_Body_Problem_(TV_series)
Process of achieving a goal by overcoming obstacles
finding solutions; problem-solving impediments include confirmation bias, mental set, and functional fixedness. The term problem solving has a slightly
Problem_solving
Many problems in mathematical programming can be formulated as problems on convex sets or convex bodies. Six kinds of problems are particularly important:
Algorithmic problems on convex sets
Algorithmic_problems_on_convex_sets
German mathematician (1862–1943)
and defended Georg Cantor's set theory and transfinite numbers. In 1900, he presented a collection of problems that set a course for mathematical research
David_Hilbert
Points with no three in a line
cap set problem is the problem of finding the size of the largest possible cap set, as a function of n {\displaystyle n} . The first few cap set sizes
Cap_set
dominating set problem and the maximum leaf spanning tree problem. Feedback vertex set Feedback arc set Graph coloring Graph homomorphism problem Graph partition
List_of_NP-complete_problems
Problems which attempt to find the most efficient way to pack objects into containers
be given depending on the problem. A set of objects, some or all of which must be packed into one or more containers. The set may contain different objects
Packing_problems
Physics problem related to laws of motion and gravity
In physics, specifically classical mechanics, the three-body problem is to take the initial positions and velocities (or momenta) of three point masses
Three-body_problem
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
Subset of a graph's nodes such that all other nodes link to at least one
γ(G) is the number of vertices in a smallest dominating set for G. The dominating set problem concerns testing whether γ(G) ≤ K for a given graph G and
Dominating_set
Probability of shared birthdays
In probability theory, the birthday problem asks for the probability that, in a set of n randomly chosen people, at least two will share the same birthday
Birthday_problem
2014 single by Ariana Grande featuring Iggy Azalea
"Problem" is a song by American singer-songwriter Ariana Grande, featuring Australian rapper Iggy Azalea. It was released by Republic Records on April
Problem_(Ariana_Grande_song)
Type of computational problem
covering problems are the set cover problem, which is equivalent to the hitting set problem, and its special cases, the vertex cover problem and the edge
Covering_problems
Problem of finding the best feasible solution
include constrained problems and multimodal problems. In the context of an optimization problem, the search space refers to the set of all possible points
Optimization_problem
Mathematical problem involving optimal stopping theory
known as the marriage problem, the sultan's dowry problem, the fussy suitor problem, the googol game, and the best choice problem. Its solution is also
Secretary_problem
Yes/no problem in computer science
decision problem is a computational problem that can be posed as a yes–no question on a set of input values. An example of a decision problem is deciding
Decision_problem
Branch of mathematics that studies sets
Melvin (2010), Set Theory and the Continuum Problem, Dover Publications, ISBN 978-0-486-47484-7 Tiles, Mary (2004), The Philosophy of Set Theory: An Historical
Set_theory
Egyptian god of the desert, storms, violence, and foreigners
little problem with the paradoxical dualities inherent in venerating Set and Nephthys, as juxtaposed against Osiris, Isis, and Nephthys. Set, in modern
Set_(deity)
Mathematical problem set on a chessboard
The eight queens puzzle is the problem of placing eight chess queens on an 8×8 chessboard so that no two queens threaten each other; thus, a solution
Eight_queens_puzzle
On solvability of Diophantine equations
problem is an undecidable problem. In a Diophantine equation, there are two kinds of variables: the parameters and the unknowns. The Diophantine set consists
Hilbert's_tenth_problem
Seven mathematical problems with a US$1 million prize for each solution
whose work Perelman built. The Clay Institute was inspired by a set of twenty-three problems organized by the mathematician David Hilbert in 1900 which were
Millennium_Prize_Problems
Complexity class used to classify decision problems
complexity class used to classify decision problems. NP is the set of decision problems for which the problem instances, where the answer is "yes", have
NP_(complexity)
Argument in philosophy of mathematics
mathematics, Benacerraf's identification problem is a philosophical argument developed by Paul Benacerraf against set-theoretic Platonism and published in
Benacerraf's identification problem
Benacerraf's_identification_problem
23 mathematical problems stated in 1900
Hilbert's problems are 23 problems in mathematics published by German mathematician David Hilbert in 1900. They were all unsolved at the time, and several
Hilbert's_problems
Pairing where no unchosen pair prefers each other over their choice
computer science, the stable matching problem is the problem of finding a stable matching between two equally sized sets of elements given an ordering of preferences
Stable_matching_problem
Optimization problem
The vehicle routing problem (VRP) is a combinatorial optimization and integer programming problem which asks "What is the optimal set of routes for a fleet
Vehicle_routing_problem
When are solutions in the calculus of variations analytic
nineteenth problem is one of the 23 Hilbert problems, set out in a list compiled by David Hilbert in 1900. It asks whether the solutions of regular problems in
Hilbert's_nineteenth_problem
Problem in computer science
Set packing is a classical NP-complete problem in computational complexity theory and combinatorics, and was one of Karp's 21 NP-complete problems. Suppose
Set_packing
Edges that hit all cycles in a graph
optimization problems are also used. If a feedback arc set is minimal, meaning that removing any edge from it produces a subset that is not a feedback arc set, then
Feedback_arc_set
Limitative results in mathematical logic
computable function that correctly answers every question in the problem set (see undecidable problem). Because of the two meanings of the word undecidable, the
Gödel's incompleteness theorems
Gödel's_incompleteness_theorems
Collection of mathematical objects
set-builder notation because there is no set for which the elements are characterized by the formula. There are several ways for avoiding the problem
Set_(mathematics)
Mathematical problem
to this problem for a given set of coin denominations is called the Frobenius number of the set. The Frobenius number exists as long as the set of coin
Coin_problem
NP-complete problem in computer science
example of such a set is S = {2,5}. The partition problem is NP hard. This can be proved by reduction from the subset sum problem. An instance of SubsetSum
Partition_problem
Fractal named after mathematician Benoit Mandelbrot
case for the Mandelbrot set boundary is an unsolved problem.[citation needed] It has been shown that the generalized Mandelbrot set in higher-dimensional
Mandelbrot_set
Type of screw
toleranced part needs to slide past this area. Use of a flat mitigates this problem. Set screws appear with a variety of tip (point) types. The different shaped
Set_screw
Data structure for storing non-overlapping sets
computation and in compilers, especially for register allocation problems. Disjoint-set forests were first described by Bernard A. Galler and Michael J
Disjoint-set_data_structure
Question in abstract algebra
pure set theory. The Whitehead problem was the first purely algebraic problem to be proved undecidable. Shelah later showed that the Whitehead problem remains
Whitehead_problem
Variation in resonant frequency of identical atomic nuclei in a magnetic field
spectrometry) Problem set 1 (see also this link for more background information on spin-spin coupling) Problem set 2 Problem set 4 Problem set 5 Combined
Chemical_shift
Short story by Arthur Conan Doyle featuring Sherlock Holmes
of the Final Problem" in December 1893. It appears in book form as part of the collection The Memoirs of Sherlock Holmes. The story, set in 1891, introduces
The_Final_Problem
Subset of a graph's vertices, including at least one endpoint of every edge
cover) of a graph is a set of vertices that includes at least one endpoint of every edge of the graph. In computer science, the problem of finding a minimum
Vertex_cover
Fictional character from Sherlock Holmes stories
appearance occurred in the 1893 short story "The Adventure of the Final Problem" (set in 1891). The story features consulting detective Sherlock Holmes revealing
Professor_Moriarty
Mathematical problem set on a chessboard
perform operations on such a large set. However, the size of this number is not indicative of the difficulty of the problem, which can be solved "by using
Knight's_tour
Problem that is difficult or impossible to solve
In planning and policy, a wicked problem is a problem that is difficult or impossible to solve because of incomplete, contradictory, and changing requirements
Wicked_problem
Probability puzzle
The Monty Hall problem is a brain teaser, in the form of a probability puzzle, based nominally on the American television game show Let's Make a Deal
Monty_Hall_problem
Shape that blocks all lines of sight
opaque set for the square, and for most other shapes this problem similarly remains unsolved. The shortest opaque set for any bounded convex set in the
Opaque_set
In number theory and set theory, the minimum overlap problem is a problem proposed by Hungarian mathematician Paul Erdős in 1955. Let A = {ai} and B =
Minimum_overlap_problem
Complexity class
Vertex cover problem Independent set problem Dominating set problem Graph coloring problem Sudoku To the right is a diagram of some of the problems and the
NP-completeness
Problem a computer might be able to solve
computational problem that has a solution, as there are many known integer factorization algorithms. A computational problem can be viewed as a set of instances
Computational_problem
Geometric problems involving the partition of a figure
pieces. Additionally, to avoid set-theoretic issues related to the Banach–Tarski paradox and Tarski's circle-squaring problem, the pieces are typically required
Dissection_problem
Expression of polynomials as sum of squares
Hilbert's seventeenth problem is one of the 23 of Hilbert's problems set out in a celebrated list compiled in 1900 by David Hilbert. It concerns the expression
Hilbert's_seventeenth_problem
U.S. government-sponsored research project
response to a request from senior U.S. policy makers. The State Failure Problem Set dataset and spreadsheets were originally prepared in 1994 by researchers
Political Instability Task Force
Political_Instability_Task_Force
Problem in set theory
In mathematics, Suslin's problem is a question about totally ordered sets posed by Mikhail Yakovlevich Suslin (1920) and published posthumously. It has
Suslin's_problem
Comprehensive list of Magic: The Gathering card sets since its inception in 1993
those two sets each have seven more cards than Alpha did. ^II: When the Revised Edition was in production in 1994, a number of problems with the set became
List of Magic: The Gathering sets
List_of_Magic:_The_Gathering_sets
Subfield of mathematical optimization
that studies the problem of minimizing convex functions over convex sets (or, equivalently, maximizing concave functions over convex sets). Many classes
Convex_optimization
Concept in mathematics
conditions. At the interface between the phases (in the classical problem) the temperature is set to the phase change temperature. To close the mathematical
Stefan_problem
On solutions of 7th-degree equations
Hilbert's thirteenth problem is one of the 23 Hilbert problems set out in a celebrated list compiled in 1900 by David Hilbert. It entails proving whether
Hilbert's_thirteenth_problem
computer science, the matrix mortality problem (or mortal matrix problem) is a decision problem that asks, given a set of size m of n×n matrices with integer
Matrix_mortality_problem
subset sum problem. Quadratic knapsack problem: Set-Union Knapsack Problem: SUKP is defined by Kellerer et al (on page 423) as follows: Given a set of n {\displaystyle
List_of_knapsack_problems
Computational problems no algorithm can solve
undecidable problem is a problem whose language is not a recursive set; see the article Decidable language. There are uncountably many undecidable problems, so
List_of_undecidable_problems
Multithreading computing anomaly
In multithreaded computing, the ABA problem occurs during synchronization, when a location is read twice, has the same value for both reads, and the read
ABA_problem
Problem in computer science
maximum coverage problem is a classical question in computer science, computational complexity theory, and operations research. It is a problem that is widely
Maximum_coverage_problem
On divisibility among sets of integers
In number theory, Znám's problem asks which sets of integers have the property that each integer in the set is a proper divisor of the product of the other
Znám's_problem
Fifteen problems in mathematical physic
problems. Among these was the problem of proving that the set of energy levels of one particular abstract quantum system was, in fact, the Cantor set
Simon_problems
Set of points touching all convex bodies of unit volume
Unsolved problem in mathematics Does a Danzer set with bounded density or bounded separation exist? More unsolved problems in mathematics In geometry
Danzer_set
Set of edges without common vertices
set, a set of vertices (rather than edges) no two of which are adjacent to each other Stable marriage problem (also known as stable matching problem)
Matching_(graph_theory)
Undergraduate math course at Harvard University
differential geometry, potential theory (with the calculus of residues in the problem set), and classical mechanics (along with the calculus of variations). In
Math_55
Finding shortest walks through all graph edges
combinatorial optimization, Guan's route problem, the Chinese postman problem, postman tour or route inspection problem is to find a shortest closed path or
Chinese_postman_problem
On Schubert's enumerative calculus
Hilbert's fifteenth problem is one of the 23 Hilbert problems set out in a list compiled in 1900 by David Hilbert. The problem is to put Schubert's enumerative
Hilbert's_fifteenth_problem
Mathematical counting-out question
computer science and mathematics, the Josephus problem (or Josephus permutation) is a theoretical problem related to a certain counting-out game. Such games
Josephus_problem
18 mathematical problems stated in 1998
Smale's problems is a list of eighteen unsolved problems in mathematics proposed by Steve Smale in 1998 and republished in 1999. Smale composed this list
Smale's_problems
Optimization problem
Job-shop scheduling, the job-shop problem (JSP) or job-shop scheduling problem (JSSP) is an optimization problem in computer science and operations research
Job-shop_scheduling
Initial set of valid possible values
region, feasible set, or solution space is the set of all possible points (sets of values of the choice variables) of an optimization problem that satisfy
Feasible_region
Problem in finite group theory
generating set for G {\displaystyle G} , then the word problem over the generating set B {\displaystyle B} is equivalent to the word problem over the generating
Word_problem_for_groups
Mathematical problem
of the problem, the layout of the art gallery is represented by a simple polygon and each guard is represented by a point in the polygon. A set S {\displaystyle
Art_gallery_problem
Question in combinatorial game theory
The angel problem is a question in combinatorial game theory proposed by John Horton Conway. The game is commonly referred to as the angels and devils
Angel_problem
Set of objects whose state must satisfy limits
Constraint satisfaction problems (CSPs) are mathematical questions defined as a set of objects whose state must satisfy a number of constraints or limitations
Constraint satisfaction problem
Constraint_satisfaction_problem
Graph theory problem
O(V^{3})} algorithm. This contrasts with the problem of computing the (weighted) maximum independent set of vertices in a graph, which is NP-hard. By
Maximum-weight_matching
Query of largest element in a set less than an element
In computer science, the predecessor problem involves maintaining a set of items to, given an element, efficiently query which element precedes or succeeds
Predecessor_problem
In number theory, a limitation of sieve theory
that make the parity problem less of an obstacle. Terence Tao gave this "rough" statement of the problem: Parity problem. If A is a set whose elements are
Parity_problem
Mathematical set containing no elements
the empty set or void set is the unique set having no elements; its size or cardinality (count of elements in a set) is zero. Some axiomatic set theories
Empty_set
Sets whose elements have degrees of membership
In mathematics, fuzzy sets are sets whose elements have degrees of membership. Fuzzy sets were introduced independently by Lotfi A. Zadeh in 1965 as an
Fuzzy_set
On short connecting nets with added points
While Steiner tree problems may be formulated in a number of settings, they all require an optimal interconnect for a given set of objects and a predefined
Steiner_tree_problem
Subset of a graph's edges
set of edges such that every vertex of the graph is an endpoint of at least one edge of the set. In computer science, the minimum edge cover problem is
Edge_cover
Type of computational problem
Unlike decision problems, the yes instances (the inputs for which an algorithm must return yes) and no instances do not exhaust the set of all inputs.
Promise_problem
Task of computing complete subgraphs
In computer science, the clique problem is the computational problem of finding cliques (subsets of vertices, all adjacent to each other, also called complete
Clique_problem
PROBLEM SET
PROBLEM SET
Male
Greek
(Σήθος) Greek form of Egyptian Sutekh, possibly SETHOS means "one who dazzles." In mythology, this is the name of an ancient evil god of Chaos, storms, and the desert, who slew Osiris.Â
Surname or Lastname
English
English : variant of Preble.
Surname or Lastname
English
English : occupational name for a stone- or bricklayer, from Middle English setter ‘one who lays stones or bricks in building’ (agent derivative of setten ‘to set’).English : occupational name from Old French saietier ‘silk weaver’ (an agent derivative of sayete, a kind of silk).English : from an agent derivative of Middle English setten ‘to place (decoration, on a garment or metal surface)’, probably an occupational name for an embroiderer.German : unexplained.Norwegian : unexplained.
Boy/Male
Hindu
Born during the rainy season, Money
Female
Japanese
(節å) Japanese name SETSUKO means "temperate child."
Boy/Male
Indian, Tamil
People with this Name are Preferably Intelligent and Very Generous; Highly Knowledgeable in Problem Solving Skills
Girl/Female
Muslim/Islamic
Away from all Problems
Male
Greek
(Σήθι) Greek form of Egyptian Seti, SETHI means "of Seth."Â
Boy/Male
Muslim
Problem solver
Surname or Lastname
English
English : unexplained. It may be a variant of a medieval name, Preville, a habitational name from a Norman place named with the elements pré ‘meadow’ + ville ‘settlement’. However, this theory is not supported by evidence of early forms.
Male
Italian
Italian form of Roman Latin Septimus, SETTIMIO means "seventh."
Girl/Female
Indian, Telugu
Destroyer of Problems
Surname or Lastname
English
English : habitational name from a place in North Yorkshire, so named from Old English setl ‘seat’, ‘dwelling’.
Boy/Male
African, Australian, Hindu, Indian
Flowers
Boy/Male
Arabic, Indian, Muslim
Problem Solver
Boy/Male
Hindu, Indian
Problem
Boy/Male
Tamil
Born during the rainy season, Money
Surname or Lastname
English
English : patronymic from Setter.
Girl/Female
Bengali, Indian
Eternity; Problem Solver
Surname or Lastname
English
English : variant of Preble.
PROBLEM SET
PROBLEM SET
Girl/Female
Tamil
Vyjayanti | வà¯à®¯à¯à®œà®¯à®‚தீ
Garland of Lord Krishna
Boy/Male
Assamese, Indian, Kannada, Sindhi, Tamil
A Chera King
Boy/Male
Hindu, Indian
Sapphire
Boy/Male
Hindu
Expected
Boy/Male
Celtic American Irish
Oath.
Biblical
Shelomith, my peace; my happiness; my recompense
Male
Russian
(Armenian Ô±Õ°Õ¸Ö‚Ö€Õ¡, Russian: Ðрамазд): Armenian and Russian form of Persian Ahura Mazda, ARAMAZD means "good and wise god."
Girl/Female
Arabic, Muslim
Turquoise
Girl/Female
Finnish
Rose.
Girl/Female
Tamil
Dheyanshi | தேயாஂஷீÂ
God of meditation
PROBLEM SET
PROBLEM SET
PROBLEM SET
PROBLEM SET
PROBLEM SET
n.
One of the fleshy legs found on the abdominal segments of the larvae of Lepidoptera, sawflies, and some other insects. Those of Lepidoptera have a circle of hooks. Called also proped, propleg, and falseleg.
n.
A question proposed for solution; a matter stated for examination or proof; hence, a matter difficult of solution or settlement; a doubtful case; a question involving doubt.
n.
Anything which is required to be done; as, in geometry, to bisect a line, to draw a perpendicular; or, in algebra, to find an unknown quantity.
n.
A problem to be solved, or an example to be wrought out.
v. t.
To propose problems.
n.
Same as Proleg.
n.
One who proposes problems.
v. t.
To examine, as a wound, an ulcer, or some cavity of the body, with a probe.
n.
To begin to deal with; as, to tackle the problem.
a.
Having the nature of a problem; not shown in fact; questionable; uncertain; unsettled; doubtful.
n.
Prowler; thief.
imp. & p. p.
of Probe
n.
The quantities or relations which are assumed to be given in any problem.
n.
Something not easily solved; an intricacy; a difficulty; a perplexity; a problem.
v. t.
To set to work upon, as upon a task or problem, or some object of labor or investigation.
n.
Same as Proleg.
n.
Proem.
v. i.
To work, as at a puzzle; as, to puzzle over a problem.
n.
A problem of more than usual difficulty added to another on an examination paper.
a.
Not solvable; insoluble; admitting no solution or explanation; as, an insolvable problem or difficulty.