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Type of random variable
probability theory and stochastic geometry, a random closed set is a random variable whose values are closed subsets of a given topological space, typically
Random_closed_set
mathematics, a random compact set is essentially a compact set-valued random variable. Random compact sets are useful in the study of attractors for random dynamical
Random_compact_set
Mathematical notation used in probability and statistics
Matheron. In terms of being considered as a random set, a sequence of random points is a random closed set if the sequence has no accumulation points with
Point_process_notation
Study of random spatial patterns
probabilities of the given random closed set hitting specified test sets. There arise questions of inference (for example, estimate the set which encloses a given
Stochastic_geometry
Variable representing a random phenomenon
A random variable (also called random quantity, aleatory variable, or stochastic variable) is a mathematical formalization of a quantity or object which
Random_variable
Smallest convex set containing a given set
a closed set itself (as happens, for instance, if X {\displaystyle X} is a finite set or more generally a compact set), then it equals the closed convex
Convex_hull
Set of random variables
physics and probability, a Markov random field (MRF), Markov network or undirected graphical model is a set of random variables having a Markov property
Markov_random_field
Collection of random variables
stochastic or random process can be defined as a collection of random variables that is indexed by some mathematical set, meaning that each random variable
Stochastic_process
Diagram that shows all possible logical relations between a collection of sets
and sets as regions inside closed curves. A Venn diagram consists of multiple overlapping closed curves, usually circles, each representing a set. The
Venn_diagram
Mathematical function for the probability a given outcome occurs in an experiment
probabilities are assigned to the possible results of a random phenomenon—more precisely, to events, which are sets of possible outcomes of a probabilistic experiment
Probability_distribution
Japanese manga series
Case Closed, also officially known as Detective Conan (Japanese: 名探偵コナン, Hepburn: Meitantei Konan; lit. 'Great Detective Conan'), is a Japanese manga series
Case_Closed
Generalization of the one-dimensional normal distribution to higher dimensions
often used to describe, at least approximately, any set of (possibly) correlated real-valued random variables, each of which clusters around a mean value
Multivariate normal distribution
Multivariate_normal_distribution
Data structure for approximate set membership
in 1947, in which the set of categories associated with a piece of information is represented by notches on a card, with a random pattern of four notches
Bloom_filter
Feedback controller
reference tracking performance improved rectification of random fluctuations In some systems, closed-loop and open-loop control are used simultaneously. In
Closed-loop_controller
Type of plane partition
distance to each site is attained (e.g., when a site is a compact set or a closed ball), then each Voronoi cell can be represented as a union of line
Voronoi_diagram
Algorithm used for pathfinding and graph traversal
was closed, and it is open since it is not closed. Algorithm A is optimally efficient with respect to a set of alternative algorithms Alts on a set of
A*_search_algorithm
Fractal sets in complex dynamics of mathematics
Fatou set of a rational map can be classified into one of four different classes. J ( f ) {\displaystyle \operatorname {J} (f)} is the smallest closed set
Julia_set
All numbers between two given numbers
they form a base of the open sets. A closed interval is an interval which includes both endpoints, which are finite. A closed interval is denoted with square
Interval_(mathematics)
Inputs for which a function's value is non-zero
is a random variable on ( Ω , F , P ) {\displaystyle (\Omega ,{\mathcal {F}},P)} then the support of X {\displaystyle X} is the smallest closed set R X
Support_(mathematics)
Random motion of particles suspended in a fluid
Brownian motion is the random motion of particles suspended in a medium (a liquid or a gas). The traditional mathematical formulation of Brownian motion
Brownian_motion
Class of mathematical sets
open sets of a space, or on the closed sets of a space, must also be defined on all Borel sets of that space. Any measure defined on the Borel sets is called
Borel_set
Type of set in mathematics
computable set. Solovay proved in 1975 that a set can be K-trivial without being computable. The Schnorr–Levin theorem says that random sets have a high
K-trivial_set
Process of displaying interpretive texts to screens
WETA. As a result of these tests, the FCC in 1976 set aside Line 21 for the transmission of closed captions. PBS engineers then developed the caption
Closed_captioning
Subgenre of detective fiction
The closed circle of suspects is a conceit of detective fiction, wherein a given crime (usually a murder) occurs within a limited and predefined group
Closed_circle_of_suspects
In statistics and probability theory, set of outcomes to which a probability is assigned
independent events – Set of random variables of which any two are independent Leon-Garcia, Alberto (2008). Probability, statistics and random processes for electrical
Event_(probability_theory)
Probability distribution
distribution is a type of continuous probability distribution for a real-valued random variable. The general form of its probability density function is f ( x
Normal_distribution
Graph defined from a set of points in the Euclidean plane
infinite random point sets, the finite site percolation threshold gives the fraction of points needed to support connectivity: if a random subset of
Gabriel_graph
Algebraic structure of set algebra
meaning "sum") on a set X {\displaystyle X} is a nonempty collection Σ {\displaystyle \Sigma } of subsets of X {\displaystyle X} closed under complement
Σ-algebra
Mathematical set with an ordering
preordered set is equivalent to a poset. Finally, every subcategory of a poset is isomorphism-closed. If P {\displaystyle P} is a partially ordered set that
Partially_ordered_set
Probability distribution
uniform base measure and a 1 / x {\displaystyle 1/x} base measure) for a random variable X for which E[X] = αθ = α/β is fixed and greater than zero, and
Gamma_distribution
Type of random mathematical object
Poisson random measure, Poisson random point field and Poisson point field) is a type of mathematical object that consists of points randomly located
Poisson_point_process
Family of sets closed under intersection
experiment Ring of sets – Family closed under unions and relative complements σ-algebra – Algebraic structure of set algebra σ-ideal – Family closed under subsets
Pi-system
Video camera system with a limited set of receivers
Closed-circuit television (CCTV), also known as video surveillance, is the use of closed-circuit television cameras to transmit a signal to a specific
Closed-circuit_television
Statistical model
distribution of all those (infinitely many) random variables, and as such, it is a distribution over functions on its index set, e.g. time or space. The concept
Gaussian_process
Branch of engineering and mathematics
reference tracking performance improved rectification of random fluctuations In some systems, closed-loop and open-loop control are used simultaneously. In
Control_theory
Romantic suspense novel
Eberhart. The plot is a closed community mystery set aboard a hospital ship. The novel was published in the United States by Random House in 1946. The story
Five_Passengers_from_Lisbon
does not look random, but it satisfies the definition of random variable. This is useful because it puts deterministic variables and random variables in
List of probability distributions
List_of_probability_distributions
Expected value of a random variable given that certain conditions are known to occur
conditional mean of a random variable is its expected value evaluated with respect to the conditional probability distribution. If the random variable can take
Conditional_expectation
System where a single company controls an entire ecosystem
refer to a closed or exclusive set of information services provided for users. Similar to a real walled garden, a user cannot escape this closed environment
Closed_platform
Probability distribution
continuous probability distribution of a random variable whose logarithm is normally distributed. Thus, if the random variable X is log-normally distributed
Log-normal_distribution
Computer network protocol
Sec-WebSocket-Protocol: chat The following Python code generates a random Sec-WebSocket-Key. import base64 import os print(base64.b64encode(os.urandom(16)))
WebSocket
Canadian chef, restaurateur, producer, vocalist and internet personality (born 1982)
of Parts & Labour, a restaurant in Toronto, Ontario, which permanently closed on January 1, 2019. Matheson has since started Matty's Patty's Burger Club
Matty_Matheson
Probability distribution
rate parameter. The distribution is supported on the interval [0, ∞). If a random variable X has this distribution, we write X ~ Exp(λ). The exponential distribution
Exponential_distribution
Electronic circuit with two stable states
flip-flop Pulse transition detector Sample and hold Schmitt trigger Static random-access memory For example, Digital Equipment Corporation's Logic Handbook
Flip-flop_(electronics)
Probability distribution
random variables having two other known distributions. Given two statistically independent random variables X and Y, the distribution of the random variable
Distribution of the product of two random variables
Distribution_of_the_product_of_two_random_variables
Mathematical technique
In statistics, the algebra of random variables provides rules for the symbolic manipulation of random variables, while avoiding delving too deeply into
Algebra_of_random_variables
Type of computer memory
Dynamic random-access memory (dynamic RAM or DRAM) is a type of random-access semiconductor memory that stores each bit of data in a memory cell. A DRAM
Dynamic_random-access_memory
Typeface style used in mathematics
mathematical texts. The style is most commonly used to represent the number sets N {\displaystyle \mathbb {N} } (natural numbers), Z {\displaystyle \mathbb
Blackboard_bold
Mathematical concept
of a random process or experiment. A probability space consists of three elements: A sample space, Ω {\displaystyle \Omega } , which is the set of all
Probability_space
Economic model showing fair trading leads to inequality
market model in which agents repeatedly exchange wealth in random pairs, with the amount at stake set by the wealth of the poorer participant, akin to a garage
Yard-sale_model
Notions of probabilistic convergence, applied to estimation and asymptotic analysis
theory, there exist several different notions of convergence of sequences of random variables, including convergence in probability, convergence in distribution
Convergence of random variables
Convergence_of_random_variables
Netflix media franchise
2024. Evans, Greg (June 8, 2018). "'Stranger Things' Books Set For Fall Debut From Penguin Random House". Deadline Hollywood. Archived from the original on
Stranger_Things_(franchise)
Upcoming video game by Kalypso Media
more than twenty sandbox maps and a random map generator. Tropico 7 was announced at Gamescom in May 2025. It is set to be the seventh entry in the Tropico
Tropico_7
Type of random graph
random cluster model is a random graph that generalizes and unifies the Ising model, Potts model, and percolation model. It is used to study random combinatorial
Random_cluster_model
Set of random variables of which any two are independent
collection of random variables is a set of random variables any two of which are independent. Any collection of mutually independent random variables is
Pairwise_independence
Selection of decision-makers by random sample
governance, sortition is the selection of public officials or jurors at random, i.e., by lottery, in order to obtain a representative sample. In ancient
Sortition
Probability that random variable X is less than or equal to x
statistics, the cumulative distribution function (CDF) of a real-valued random variable X {\displaystyle X} , or just distribution function of X {\displaystyle
Cumulative distribution function
Cumulative_distribution_function
Upcoming video game
players are offered to choose between three randomly given items that sometimes include unique ones. Deadlock is set in an alternate New York City circa the
Deadlock_(video_game)
American murderer (born 1994)
(2024-08-28). "'Heinous, atrocious and cruel': Man gets death penalty in random killings of Florida women". USA TODAY. Archived from the original on 2024-09-13
Wade_Wilson_(criminal)
Defunct theme park in Myrtle Beach, South Carolina, U.S.
financial issues, it closed later that year on September 24. It reopened under the Freestyle brand on May 23, 2009, but it closed permanently at the end
Freestyle_Music_Park
English journalist and presenter (1940–2026)
for children, which she set up in 1986, and The Silver Line, designed to combat loneliness in older people's lives, which she set up in November 2012. Rantzen
Esther_Rantzen
Mathematical object studied in the field of algebraic geometry
two smaller sets that are closed in the Zariski topology. Under this definition, non-irreducible algebraic varieties are called algebraic sets. Other conventions
Algebraic_variety
Probability puzzle
door chosen originally and the closed door remaining. It is also presumed that the car is placed (uniformly) at random behind one of the doors and that
Monty_Hall_problem
Problem in computer science
a computation", in Mathematics Today, Lynn Arthur Steen, Vintage Books (Random House), 1980. A wonderful little paper, perhaps the best ever written about
Halting_problem
Family closed under complements and countable disjoint unions
{\displaystyle \varnothing \in D.} D {\displaystyle D} is closed under countable unions of pairwise disjoint sets: if A 1 , A 2 , A 3 , … {\displaystyle A_{1},A_{2}
Dynkin_system
Property of a model
sensitivity to small fluctuations in the training set. High variance may result from an algorithm modeling the random noise in the training data (overfitting)
Bias–variance_tradeoff
German cipher machine during World War II
only used each day to set up the rotors, their ring settings and the plugboard. For each message, the operator selected a random start position, let's
Enigma_machine
Probability distribution
Some closed-form bounds for the cumulative distribution function are given below. If X ~ B(n, p), that is, X is a binomially distributed random variable
Binomial_distribution
Battery of statistical tests
of a random number generator (RNG). They were developed by George Marsaglia over several years and first published in 1995 on a CD-ROM of random numbers
Diehard_tests
Measure of algorithmic complexity
theory (or Kolmogorov complexity). Kolmogorov randomness defines a string (usually of bits) as being random if the shortest computer program that can produce
Kolmogorov_complexity
Set of principles for modeling solid geometry
removal). Applying the standard Boolean operations to closed regular sets may not produce a closed regular set, but this problem can be solved by regularizing
Solid_modeling
Video game business model
service gacha games entice players to spend in-game currency to receive a random in-game item, which is generally seen mechanically central to gameplay.
Gacha_game
Hash collision resolution technique
Open addressing, or closed hashing, is a method of collision resolution in hash tables. With this method a hash collision is resolved by probing, or searching
Open_addressing
American comedian and television host (born 1956)
political talk show Real Time with Bill Maher (2003–present) and podcast Club Random (2022–present). He previously hosted a late-night show called Politically
Bill_Maher
Statistical concept
describe the missing data mechanism in detail. Values in a data set are missing completely at random (MCAR) if the events that lead to any particular data-item
Missing_data
Uniform distribution on an interval
equally probable. It is the maximum entropy probability distribution for a random variable X {\displaystyle X} under no constraint other than that it is contained
Continuous uniform distribution
Continuous_uniform_distribution
Automated methods for the creation of mazes
each wall, in some random order: If the cells divided by this wall belong to distinct sets: Remove the current wall. Join the sets of the formerly divided
Maze_generation_algorithm
Optimization algorithm
actual gradient (calculated from the entire data set) by an estimate thereof (calculated from a randomly selected subset of the data). Especially in high-dimensional
Stochastic_gradient_descent
Mathematical idealization of the trace left by a moving point
either curved or straight. This term my be ambiguous, as a non-closed curve may be a closed set, as is a line in a plane. In (rather old) French: "La ligne
Curve
Concept in measure theory
of R {\displaystyle \mathbb {R} } are precisely the closed and bounded subsets, and any such set, since it is bounded, has δ n {\displaystyle \delta _{n}}
Tightness_of_measures
{R} } is closed with respect to addition. Then it has stationary increments if for any p , q , r ∈ T {\displaystyle p,q,r\in T} , the random variables
Stationary_increments
C standard library header file
functions that can be used for statistically random number generation. The arc4random family of random number functions are not defined in POSIX standard
C_mathematical_functions
implements memcpy and similar functions. The AOCL RNG random number generation library is closed source. ACML consists of the following main components:
AMD_Core_Math_Library
Sequence of moves on a lattice
Knight's tour – Mathematical problem set on a chessboard Random walk – Process forming a path from many random steps Snake – Video game genre Universality –
Self-avoiding_walk
Probability distribution
of random variables having two other known distributions. Given two (usually independent) random variables X and Y, the distribution of the random variable
Ratio_distribution
Probability distribution
do not have a general closed form solution for arbitrary values of the shape parameters. If X1, ..., XN are independent random variables each having a
Beta_distribution
Automated method for solving mazes
A maze-solving algorithm is an automated method for solving a maze. The random mouse, wall follower, Pledge, Tarry's, and Trémaux's algorithms are designed
Maze-solving_algorithm
Distribution of variables which satisfies a stability property under linear combinations
By the classical central limit theorem, the properly normed sum of a set of random variables, each with finite variance, will tend toward a normal distribution
Stable_distribution
Branch of mathematics
assigning positive mass to some closed subsets of the Julia set with smaller Hausdorff dimension than the whole Julia set. More generally, complex dynamics
Complex_dynamics
Perception of meaningful patterns or images in random or vague stimuli
patterns in randomness Conspiracy theory – Attributing events to an improbable conspiracy (another example of apophenia) Eigenface – Set of eigenvectors
Pareidolia
Computational geometry concept
\|v\|=1}P(v^{T}(X-x)\geq 0),} where X is a random variable following distribution P X {\displaystyle P_{X}} . A centerpoint c of a point set of size n is nothing else
Tukey_depth
example, suppose X is the set of points in the two-dimensional plane, R is the set of closed filled rectangles (products of closed intervals), and P is the
Ε-net (computational geometry)
Ε-net_(computational_geometry)
Probability distribution
specified (non-random) number of successes (r), the number of failures (n − r) is random because the number of total trials (n) is random. For example,
Negative binomial distribution
Negative_binomial_distribution
Algorithm for supervised learning of binary classifiers
a small random value. In the example below, we use 0. Set the time counter t {\displaystyle t} to 0. For each example j in our training set D, perform
Perceptron
partially ordered set that is not totally ordered contain two elements x and y such that the probability that x appears before y in a random linear extension
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
Approach to quantum gravity using discrete spacetime
1666-1678; arXiv:gr-qc/0209020 A.Ash, P. McDonald, Random partial orders, posts, and the causal set approach to discrete quantum gravity[link removed];
Causal_sets
2011 video game
system was similar to the one used in Korean MMORPGs, since it was based on random numbers. First, a player had to obtain a blueprint and the resources required
Black_Prophecy
Crash of US Air Force bomber with nuclear warheads
was passed to the MC-640 [thermal batteries] through one of the possible random short circuits." Another document lists the "Reservoir type" of the weapons
1961_Goldsboro_B-52_crash
Season of television series
The sixteenth season of the Case Closed anime was directed by Masato Satō and produced by TMS Entertainment and Yomiuri Telecasting Corporation. The series
Case_Closed_season_16
German media conglomerate
magazines and services. Its principal divisions include the RTL Group, Penguin Random House, BMG, Arvato, the Bertelsmann Marketing Services, the Bertelsmann
Bertelsmann
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