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In probability theory, random element is a generalization of the concept of random variable to more complicated spaces than the simple real line. The
Random_element
Collection of random variables
term random function is also used to refer to a stochastic or random process, because a stochastic process can also be interpreted as a random element in
Stochastic_process
Variable representing a random phenomenon
the range of a random variable is a subset of the real numbers. Informally, randomness typically represents some fundamental element of chance, such
Random_variable
Observed value of a random variable
observed value) of a random variable or random element is the value that is actually observed or measured. For example, if the random variable is human height
Realization_(probability)
Stochastic way of assigning quantities across a space
probability theory, a random measure is a measure-valued random element. Random measures are for example used in the theory of random processes, where they
Random_measure
Concept in combinatorics
operate on random permutations. Suppose, for example, that we are using quickselect (a cousin of quicksort) to select a random element of a random permutation
Random_permutation_statistics
Selection of data points in statistics
sampling have two things in common: Every element has a known nonzero probability of being sampled and involves random selection at some point. Nonprobability
Sampling_(statistics)
Algorithm for shuffling a finite sequence
sequence, and continually determines the next element in the shuffled sequence by randomly drawing an element from the list until no elements remain. The
Fisher–Yates_shuffle
Probability distribution
the analogues of multivariate normal vectors for the case k = ∞. A random element h ∈ H is said to be normal if for any constant a ∈ H the scalar product
Normal_distribution
Theorem in probability and statistics
without modification if X is a discrete random vector or even a discrete random element. The case of a continuous random variable is more subtle, since the
Law of the unconscious statistician
Law_of_the_unconscious_statistician
of functions of random variables / (1:R) Bertrand's paradox / (1:M) Pitman–Yor process / (1:G) Random compact set / (1:G) Random element / (1:G) Coupling /
Catalog of articles in probability theory
Catalog_of_articles_in_probability_theory
Mathematical version of an order change
generating a random permutation of a[0], a[1], ..., a[n − 1] can be described as follows in pseudocode: for i from n downto 2 do di ← random element of { 0
Permutation
Divide and conquer sorting algorithm
for randomized data, particularly on larger distributions. Quicksort is a divide-and-conquer algorithm. It works by selecting a "pivot" element from
Quicksort
Theorem in probability theory
sequences of scalar/vector/matrix random elements. If X n {\displaystyle X_{n}} converges in distribution to a random element X {\displaystyle X} and Y n {\displaystyle
Slutsky's_theorem
Concept in physics of one-way time
more and more of the random element in the state of the world, then the arrow is pointing towards the future; if the random element decreases the arrow
Arrow_of_time
Possible result of an experiment or trial
trial. Each possible outcome of a particular experiment is a unique random element, and different outcomes are mutually exclusive (only one outcome will
Outcome_(probability)
Concept in probability theory
proof of the first is more involved. It can be shown that if Y is a random element Ω → S {\displaystyle \Omega \to S} in a Radon space S, there exists
Regular conditional probability
Regular_conditional_probability
Random variable with multiple component dimensions
person from within a group would be a random vector. Normally each element of a random vector is a real number. Random vectors are often used as the underlying
Multivariate_random_variable
Problem in computational complexity theory
create an array T ∗ {\displaystyle T^{*}} by selecting a single random element from each cell of T, and run Conv3SUM on T ∗ {\displaystyle T^{*}}
3SUM
U.S. conscription procedure during the Vietnam War
The government decided in 1969 to reduce this bias by introducing a random element into the selection process. A lottery based on birth dates was conducted
Vietnam_War_draft
Statistics measurement
{\displaystyle {\widetilde {Y}}_{k}} , not only has a contribution from a random element but one of the observed quantities, specifically Y k {\displaystyle
Best linear unbiased prediction
Best_linear_unbiased_prediction
Operator in probability theory
the element z. Quite similarly, the covariance function of a function-valued random element (in special cases is called random process or random field)
Covariance_operator
Random set of points on a space with random number and random position
time, so point process is also called a random point field. In mathematics, a point process is a random element whose values are "point patterns" on a
Point_process
Method for analyzing online algorithms
however, quicksort chooses some random element to be the pivot, then an adversary without knowledge of what random numbers are coming up cannot arrange
Competitive analysis (online algorithm)
Competitive_analysis_(online_algorithm)
Chemical element with atomic number 80 (Hg)
Mercury is a chemical element; it has symbol Hg and atomic number 80. It is commonly known as quicksilver. A heavy, silvery d-block element, mercury is the
Mercury_(element)
Phenomenon observed in hash tables
terminate as soon as they find the element that they are searching for. As a result, the expected time to query a random element in the hash table is Θ ( x )
Primary_clustering
Fictional character from the Foundation series by Isaac Asimov
people's emotions and bring planet after planet under his control. He is a random element not foreseen by psychohistory, a science developed by Hari Seldon which
The_Mule_(Foundation)
American general-interest trade book publisher
Random House is an imprint and publishing group of Penguin Random House. Founded in 1927 by businessmen Bennett Cerf and Donald Klopfer as an imprint
Random_House
If U is a random element of CUE(n), then UTU is a random element of COE(n); if U is a random element of CUE(2n), then URU is a random element of CSE(n)
Circular_ensemble
group that would minimise the imbalance can be chosen directly, or a random element may be added (perhaps allocating a higher chance to the groups that
Minimisation (clinical trials)
Minimisation_(clinical_trials)
Type of data structure
0x7D8, ..., 0x7F4) so that the element with index i has the address 2000 + (i × 4). The memory address of the first element of an array is called first address
Array_(data_structure)
British-American publishing company
Penguin Random House Limited is a British-American multinational publishing conglomerate, created on July 1, 2013, through the merger of Penguin Books
Penguin_Random_House
Amber novels also inspired a unique role-playing game, lacking any random element: Amber Diceless Roleplaying, published by Phage Press. Isle of the Dead
Roger_Zelazny_bibliography
Survey sampling method
distance), which could lead to an overestimate of average income. This non-random element is a source of uncertainty about the nature of the actual sample. Quota
Quota_sampling
Type of matrix in probability theory and statistics
matrix whose element in the i, j position is the covariance between the i-th element of a random vector and j-th element of another random vector. When
Cross-covariance_matrix
Sequence where any order is equally likely
element has index 0, and the last element has index n − 1), and for each position i swap the element currently there with a randomly chosen element from
Random_permutation
Board game by Games Workshop
the new status. The winter season also had a random element with "Winter Events" determined by a random roll for each player. The events could be positive
Mighty_Empires
Process forming a path from many random steps
In mathematics, a random walk is a stochastic process that describes a path that consists of a succession of random steps on some mathematical space.
Random_walk
Computer memory concept
Random access (also called direct access) is the ability to access an arbitrary element of a sequence in equal time or any datum from a population of
Random_access
Term used in composite materials theory
continuum description of the material involves Statistical Volume Element (SVE) and random fields. The property of interest can include mechanical properties
Representative elementary volume
Representative_elementary_volume
Method of statistical sampling
characteristics, known as strata, then followed by simple random sampling from the stratified groups, where each element within the same subgroup are selected unbiasedly
Stratified_randomization
Stochastic process
time), a branching random walk's value is a set of elements that are located in some linear space, such as the real line. Each element of a given generation
Branching_random_walk
Early medieval cultural group in Britain
stricter control. However the Anglo-Saxons believed in 'luck' as a random element in the affairs of man and so would probably have agreed that there is
Anglo-Saxons
2023 video game
party members between areas to counter opponents. In some battles a random element of the system titled "Dramatic Scene" places the player in inconvenient
One_Piece_Odyssey
1982 painting by Andy Warhol
he "developed the piss-painting technique as a way of introducing a random element—an ironic paraphrase of the hero of Abstract Expressionism, Jackson
Jean-Michel_Basquiat_(Warhol)
point charges. Multivalued function: one-to-many relation. Random function: Random element of a set of functions. Scalar-valued function Multivariate
List_of_types_of_functions
Overview of and topical guide to probability
measures Probability space Sample space Standard probability space Random element Random compact set Dynkin system Probability axioms Event (probability
Outline_of_probability
Board game
With each faction having a fixed set of minis with the only other random element being that tone of the packed monsters from a fixed set of two possible
Monsterpocalypse
Concept in quantum mathematics
Quantum random circuits (QRC) is a concept of incorporating an element of randomness into the local unitary operations and measurements of a quantum circuit
Quantum_random_circuits
Type of board game
action. Eurogame designs tend to de-emphasize luck and random elements. Often, the only random element of the game will be resource or terrain distribution
Eurogame
Branch of mathematics concerning probability
single occurrences or evolve over time in a random fashion). Although it is not possible to perfectly predict random events, much can be said about their behavior
Probability_theory
1996 studio album by Derek Bailey
fantastic feel." Bailey's experiments also included an additional, 'random' element as a result of the broken cassette player he had been using to tape
Guitar,_Drums_'n'_Bass
Method in computational algebra
primes, which are necessarily odd, one can exploit the fact that a random nonzero element of F p ∗ {\textstyle \mathbb {F} _{p}^{*}} is a square with probability
Berlekamp's_algorithm
Variant of heap data structure
the new element must rise to satisfy the heap property. Thus, the insertion operation has a worst-case time complexity of O(log n). For a random heap, and
Binary_heap
theory Probability space Sample space Standard probability space Random element Random compact set Dynkin system Probability axioms Normalizing constant
List_of_probability_topics
is the Cauchy distribution. The degenerate case, where there is no random element, i.e., X ( t ) = m t {\displaystyle X(t)=mt} , where m {\displaystyle
Stable_process
Set of mathematical functions concerning algebraic group isomorphism
time a new random element is desired, repeat the previous two steps, then return one of the generating elements as the desired random element The generating
Nielsen_transformation
Two books on human sexual behavior by Alfred Kinsey and others
one was not representative of the population as a whole, provided a random element while encouraging greater participation. These "100 percent groups"
Kinsey_Reports
Two player card game
Macedonian and Persian cultures), and tactical cards which "introduce that random element that makes war continually surprising". The 2004 reprinting of Schotten
Schotten_Totten
Algorithm that generates an approximation of a random number sequence
random bit generator (DRBG), is an algorithm for generating a sequence of numbers whose properties approximate the properties of sequences of random numbers
Pseudorandom_number_generator
Probabilistic data structure
elements have been found, one smaller and one larger than or equal to the element searched for. Via the linked hierarchy, these two elements link to elements
Skip_list
One of two or more individuals having at least one parent in common
genes which vary between different people. Inheritance of genes has a random element to it, and these two concepts are different. Consanguinity decreases
Sibling
Data structure for approximate set membership
hashing that are effectively simple random number generators seeded with the two or three hash values.) Removing an element from this simple Bloom filter is
Bloom_filter
Chemical element with atomic number 6 (C)
Carbon (from Latin carbo 'coal') is a chemical element; it has symbol C and atomic number 6. It is nonmetallic and tetravalent—meaning that its atoms
Carbon
real numbers τ n → ∞ {\displaystyle \tau _{n}\to \infty } and some random element Z ∈ D {\displaystyle Z\in \mathbb {D} } with values concentrated on
Hadamard_derivative
2006 video by Brian Eno
replaced by another random element. Also, the music that accompanies the paintings, if played on a Mac G5 or a Windows PC, is randomly generated in a similar
77_Million_Paintings
Random search tree data structure
In computer science, the treap and the randomized binary search tree are two closely related forms of binary search tree data structures that maintain
Treap
Data structure with nodes pointing to the next node
logarithmic time random access to an element by index. Random-access lists can be implemented as persistent data structures. Random-access lists can be
Linked_list
Measure of covariance of components of a random vector
contains variances (i.e., the covariance of each element with itself). The covariance matrix of a random vector X {\displaystyle \mathbf {X} } is typically
Covariance_matrix
Probabilistic problem-solving algorithm
random sampling for obtaining numerical results, conceptualized by Polish mathematician Stanisław Ulam. The underlying concept is to use randomness to
Monte_Carlo_method
Digital poetry and art game
Rettberg argues that "the combinatory element is effective here because the arbitrary nature of the random element is, in fact, no less arbitrary, and no
This_is_How_You_Will_Die
Topics referred to by the same term
if the operation is applied to any element in a set, that element is unchanged Neutral vector, a multivariate random variable that exhibits a particular
Neutral
Games played in gambling facilities
casino game is one in which players gamble cash or chips on various possible random outcomes or combinations of outcomes, often in a casino environment. Such
Casino_game
Matrix-valued random variable
mathematical physics, a random matrix is a matrix-valued random variable—that is, a matrix in which some or all of its entries are sampled randomly from a probability
Random_matrix
Divide and conquer sorting algorithm
|S_i|-1) while there exists i: l_i < r_i do // pick Pivot Element in S_j[l_j], .., S_j[r_j], chose random j uniformly v := pickPivot(S, l, r) for i = 1 to p
Merge_sort
Chemical element with atomic number 2 (He)
(from Ancient Greek: ἥλιος, romanized: helios, lit. 'sun') is a chemical element; it has symbol He and atomic number 2. It is a colorless, odorless, non-toxic
Helium
Chemical element with atomic number 5 (B)
Boron is a chemical element; it has symbol B and atomic number 5. In its crystalline form it is a brittle, dark, lustrous metalloid; in its amorphous
Boron
Chemical element with atomic number 118 (Og)
Oganesson is a synthetic chemical element; it has symbol Og and atomic number 118. It was first synthesized in 2002 at the Joint Institute for Nuclear
Oganesson
Algorithm that arranges lists in order
source of random numbers. Shuffling can also be implemented by a sorting algorithm, namely by a random sort: assigning a random number to each element of the
Sorting_algorithm
Collection of subsets covering all t-element subsets
t)-covering design, is a collection of k-element subsets, called blocks, chosen from a v-element set, such that every t-element subset is contained in at least
Covering_design
Self-adjusting binary search tree
look-up and removal in O(log n) amortized time. For random access patterns drawn from a non-uniform random distribution, their amortized time can be faster
Splay_tree
Computational hardness assumption
distinguish h x + y {\displaystyle h^{x+y}} from an independent random group element η {\displaystyle \eta } . In symmetric pairing-based cryptography
Decision_Linear_assumption
Method of logical reasoning
individual observations, which is not always as simple as taking a random element from a static population, which in itself is not always simple. The
Inductive_reasoning
Sorting algorithm
picking the cards up at random, and repeating the process until the deck is sorted. In a worst-case scenario with this version, the random source is of low quality
Bogosort
British live afternoon game show about stock market investing
that were given some random letter blocks which, when picked, triggered a buy of that stock and this introducing a random element to the game. There was
Show Me the Money (British game show)
Show_Me_the_Money_(British_game_show)
Concept in mathematics
partial differential equations, where each X t {\displaystyle X_{t}} is a random element in a functional space. In martingale theory, a sequence ( M n ) n ≥
Bochner_integral
1986 video game
essence of the original game yet expand the gameplay and introduce a random element into the game. It was also considerably faster than the original. Reception
Alien_Highway
Binary tree selected at random
In computer science and probability theory, a random binary tree is a binary tree selected at random from some probability distribution on binary trees
Random_binary_tree
Hungarian card game
play, or restrict which cards they may replace, in order to reduce the random element of the game. If an Ace is played, the player playing the Ace must call
Macau_(card_game)
Chemical element with atomic number 3 (Li)
Lithium (from Ancient Greek: λίθος, líthos, 'stone') is a chemical element; it has symbol Li and atomic number 3. It is a soft, silvery-white alkali metal
Lithium
Interdisciplinary research area
minimization is initialized by some random element in our data set, and iteratively does this subroutine to find the minimum element in the data set. This minimization
Quantum_machine_learning
Assumption used in cryptographic systems
\mathbb {Z} _{q}} , the value g a b {\displaystyle g^{ab}} "looks like" a random element in G {\displaystyle G} . This intuitive notion can be formally stated
Decisional Diffie–Hellman assumption
Decisional_Diffie–Hellman_assumption
Sampling from a population which can be partitioned into subpopulations
every element in the population must be assigned to one and only one stratum. Then sampling is done in each stratum, for example: by simple random sampling
Stratified_sampling
Concept in statistical mechanics
_{k}} are i.i.d. standard normal variables. This random sum almost surely will not exist as an element of H 1 ( Ω ) {\displaystyle H^{1}(\Omega )} , since
Gaussian_free_field
American speedrunner and streamer
Zombie hovering, a notoriously difficult glitch, previously relied on a random element regarding the flight paths of despawning fairies, collectibles that
Gymnast86
Chess variant with randomized starting position
describe chess moves. Chess960, also known as Fischer Random Chess, is a chess variant that randomizes the starting position of the pieces on the back rank
Chess960
Concept in probability and statistics
sequences of random variables. Then, "independent and identically distributed" implies that an element in the sequence is independent of the random variables
Independent and identically distributed random variables
Independent_and_identically_distributed_random_variables
Locally compact topological group with an invariant averaging operation
thought of as answering the question: what is the probability that a random element of G is in A? It is a fact that this definition is equivalent to the
Amenable_group
Chemical element with atomic number 86 (Rn)
Radon is a chemical element; it has symbol Rn and atomic number 86. It is a radioactive noble gas and is colorless and odorless. Of the three naturally
Radon
2020 video game
simplified the concept to turning enemy characters into a random object within the game. The random element was discarded in favor of different platforms to accommodate
Crash Bandicoot 4: It's About Time
Crash_Bandicoot_4:_It's_About_Time
RANDOM ELEMENT
RANDOM ELEMENT
Surname or Lastname
English
English : unexplained; perhaps a variant of Francom.
Surname or Lastname
English (chiefly East Anglia)
English (chiefly East Anglia) : patronymic from the Middle English personal name Rand(e) (see Rand 1).
Male
English
Medieval form of English Randolf, RANDAL means "shield-wolf."
Surname or Lastname
English
English : patronymic from Rand 1.
Boy/Male
English
Son of Rand.
Male
Scandinavian
 Scandinavian form of Old Norse Randolfr, RANDOLF means "shield-wolf." Compare with another form of Randolf.
Surname or Lastname
English or Scottish
English or Scottish : unexplained. Possibly, as Black suggests, a reduced form of Langdon.French : from the old Germanic personal name element Lando (see Land), via the oblique case, Landonis.
Surname or Lastname
English
English : variant spelling of Randall.Americanized spelling of Randel.
Boy/Male
English American
Son of Rand.
Surname or Lastname
English
English : probably a variant of Crandon, a habitational name from Crandon in Somerset or Crandean in Falmer, Sussex. Compare Grandin.
Male
Hungarian
 Variant spelling of Hungarian András, ANDOR means "man; warrior." Compare with another form of Andor.
Female
English
Short form of English Miranda, RANDA means "worthy of admiration."Â
Male
Norwegian
 Norwegian form of Old Norse Arnþórr, ANDOR means "eagle of Thor." Compare with another form of Andor.
Surname or Lastname
English
English : variant of Ransom.
Male
English
 Variant spelling of Middle English Randulf, RANDOLF means "shield-wolf." Compare with other forms of Randolf.
Male
English
Pet form of English Randall and Randolph, both RANDY means "shield-wolf." Compare with feminine Randy.
Surname or Lastname
English
English : variant of Rand 1, from the Old French oblique case.
Surname or Lastname
English
English : variant of Brandon.
Female
English
Variant spelling of English Randy, RANDI means "worthy of admiration."
Surname or Lastname
English (chiefly East Anglia)
English (chiefly East Anglia) : patronymic from the Middle English personal name Rand(e) (see Rand 1).French : variant of Renson, a reduced form of Rennesson, a pet form (with the double diminutive suffix -esson) of a personal name derived from the Germanic name Ragino or a compound name with the first element ragin- ‘counsel’.
RANDOM ELEMENT
RANDOM ELEMENT
Surname or Lastname
English
English : occupational name for a maker of pouches, from the plural of Middle English crippes ‘pouch’.English : metathesized form of Crisp.German : variant spelling of Krips, a variant of Krebs.
Girl/Female
Tamil
Dakshakanya | தகà¯à®·à®•à®¨à¯à®¯à®¾
Able daughter
Girl/Female
Muslim
Nights
Girl/Female
Tamil
Leenatha | லீநாதாÂ
Humility
Boy/Male
American, British, Christian, Danish, English, Hebrew, Hindu, Indian, Irish, Swahili, Tamil
The Lord is Gracious; American Spelling of Sean; God is Gracious; Variant of John from Sean
Male
English
Variant spelling of English unisex Jaden, JAYDEN means "jade."
Boy/Male
Hindu, Indian, Kannada, Telugu
One who has Red-colored Body
Girl/Female
Arabic, Muslim, Sindhi
One who Makes Clear
Boy/Male
Spanish
Savior.
Girl/Female
Indian
Guidance
RANDOM ELEMENT
RANDOM ELEMENT
RANDOM ELEMENT
RANDOM ELEMENT
RANDOM ELEMENT
imp. & p. p.
of Ransom
n.
Ransom; release.
adv.
At random; hit or miss. (Obs.)
n.
Random.
a.
Going at random or by chance; done or made at hazard, or without settled direction, aim, or purpose; hazarded without previous calculation; left to chance; haphazard; as, a random guess.
a.
Cruising at random on the ocean.
v. i.
To go or stray at random.
adv.
In a random manner.
v. i.
To wander at random; to scatter.
n.
Ransom.
n.
The release of a captive, or of captured property, by payment of a consideration; redemption; as, prisoners hopeless of ransom.
n.
Extra hazard; chance; accident; random.
n.
Anything driven at random.
v. i.
To extend or grow at random.
n.
A roving motion; course without definite direction; want of direction, rule, or method; hazard; chance; -- commonly used in the phrase at random, that is, without a settled point of direction; at hazard.
n.
To exact a ransom for, or a payment on.
n.
Distance to which a missile is cast; range; reach; as, the random of a rifle ball.
p. pr. & vb. n.
of Ransom
n.
To redeem from captivity, servitude, punishment, or forfeit, by paying a price; to buy out of servitude or penalty; to rescue; to deliver; as, to ransom prisoners from an enemy.