Search references for ELEMENT DISTINCTNESS-PROBLEM. Phrases containing ELEMENT DISTINCTNESS-PROBLEM
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theory, the element distinctness problem or element uniqueness problem is the problem of determining whether all the elements of a list are distinct. It is
Element_distinctness_problem
Algorithm to be run on quantum computers
as the Boson Sampling Problem, depending on the size of coherent amplitude inputs. The element distinctness problem is the problem of determining whether
Quantum_algorithm
Low-space search for a majority element
copies of m. Thus, if there is a majority element, it can only be m. Element distinctness problem, the problem of testing whether a collection of elements
Boyer–Moore majority vote algorithm
Boyer–Moore_majority_vote_algorithm
Quantum algorithm
Element distinctness problem Grover's algorithm Ambainis, A. (2005). "Polynomial Degree and Lower Bounds in Quantum Complexity: Collision and Element
BHT_algorithm
Problem in computer science
count-distinct problem (also known in applied mathematics as the cardinality estimation problem) is the problem of finding the number of distinct elements
Count-distinct_problem
Numerical method
A discrete element method (DEM), also called a distinct element method, is any of a family of numerical methods for computing the motion and effect of
Discrete_element_method
Quantum variations of random walks
classical algorithms for many practical problems, such as the element distinctness problem, the triangle finding problem, and evaluating NAND trees. The well-known
Quantum_walk
Any one of the distinct objects that make up a set in set theory
In mathematics, an element (or member) of a set is any one of the distinct objects that belong to that set. For example, given a set called A containing
Element_of_a_set
problem: how far can the number of integer points in a circle centered at the origin be from the area of the circle? Grimm's conjecture: each element
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
Chemical substance not composed of simpler ones
A chemical element is a species of atom defined by its number of protons. The number of protons is called the atomic number of that element. For example
Chemical_element
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)
Theoretical problem
Yaoyun (2004). "Quantum lower bounds for the collision and the element distinctness problems". Journal of the ACM. 51 (4): 595–605. doi:10.1145/1008731.1008735
Collision_problem
Individual component of an HTML document
the element for bibliographic citations were (and still are) routinely wrapping each entire citation in this element. Another problem with the element is
HTML_element
Any of the fifteen lanthanides plus scandium and yttrium
plentiful in the entire Earth's crust (cerium being the 25th-most-abundant element at 68 parts per million, more abundant than copper), but in practice they
Rare-earth_element
Philosophical question of how to distinguish between science and non-science
In philosophy of science and epistemology, the demarcation problem is the question of how to distinguish between science and non-science. It also examines
Demarcation_problem
Partition into subsets from a given family
contains exactly one element in S*. One says that each subset in X is hit by exactly one element in S*. The exact hitting set problem is a representation
Exact_cover
Problem in computational complexity theory
Unsolved problem in computer science Is there an algorithm to solve the 3SUM problem in time O ( n 2 − ϵ ) {\displaystyle O(n^{2-\epsilon })} , for some
3SUM
Style sheet language
sometimes used, is a misnomer, as element classes—specified with the HTML class attribute—is a markup feature that is distinct from browsers' CSS subsystems
CSS
Unsolved problem in mathematics
Unsolved problem in mathematics Is it possible to construct a three-by-three magic square from nine distinct integer squares? More unsolved problems in mathematics
Magic_square_of_squares
Process of linking data objects in distinct models
management, data mapping is the process of creating data element mappings between two distinct data models. Data mapping is used as a first step for a
Data_mapping
Problem in set theory
element) not overlapping each other is at most denumerable, necessarily an (ordinary) linear continuum? — The original statement of Suslin's problem from
Suslin's_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
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
Harmful repetitive gambling
Problem gambling (PG), also known as pathological gambling, gambling disorder, gambling addiction or ludomania, is repetitive gambling behavior despite
Problem_gambling
Strongly NP-complete problem in computer science
each element is in (7 T /4, 7 T /2), there must be exactly 3 elements per set, so it corresponds to a solution of Sr. The ABC-partition problem (also
3-partition_problem
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
Yes-or-no question that cannot ever be solved by a computer
theory and computational complexity theory, an undecidable problem is a decision problem for which it is proved to be impossible to construct an algorithm
Undecidable_problem
Dispute between Greek and Turkish Cypriots
Czechoslovakia and Eastern Bloc had previously interfered politically. The problem entered its current phase in the aftermath of the 1974 Turkish invasion
Cyprus_problem
Semantic representation of data
In metadata, the term data element is an atomic unit of data that has precise meaning or precise semantics. Data elements usage can be discovered by inspection
Data_element
following is a list of notable unsolved problems grouped into broad areas of physics. Some of the major unsolved problems in physics are theoretical, meaning
List of unsolved problems in physics
List_of_unsolved_problems_in_physics
Process of calculating the causal factors that produced a set of observations
gradient of the objective function often is a key element for the solution of the optimization problem. As mentioned above, information about the spatial
Inverse_problem
Computational problems no algorithm can solve
In computability theory, an undecidable problem is a decision problem for which an effective method (algorithm) to derive the correct answer does not
List_of_undecidable_problems
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
Problem of inverting exponentiation in groups
are distinct problems, they share some properties: both are special cases of the hidden subgroup problem for finite abelian groups, both problems seem
Discrete_logarithm
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
Function that preserves distinctness
implies x1 = x2). In other words, every element of the function's codomain is the image of at most one element of its domain. The term one-to-one function
Injective_function
Chemical element with atomic number 26 (Fe)
Iron is a chemical element; it has symbol Fe (from Latin ferrum 'iron') and atomic number 26. It is a metal that belongs to the first transition series
Iron
Set with exactly one element
guarantees that no set is an element of itself. This implies that a singleton is necessarily distinct from the element it contains, thus 1 and { 1 }
Singleton_(mathematics)
Method for finding kth smallest value
statistic. Selection includes as special cases the problems of finding the minimum, median, and maximum element in the collection. Selection algorithms include
Selection_algorithm
Chemical element with atomic number 1 (H)
Hydrogen is a chemical element; it has the symbol H and atomic number 1. It is the lightest and most abundant chemical element in the universe, constituting
Hydrogen
Search algorithm finding the position of a target value within a sorted array
(2002). "Quantum complexities of ordered searching, sorting, and element distinctness". Algorithmica. 34 (4): 429–448. arXiv:quant-ph/0102078. doi:10
Binary_search
Computer science problem
whether to include or exclude each element, without knowledge of the later elements. In this variant of the problem, which allows for interesting applications
Longest increasing subsequence
Longest_increasing_subsequence
Quantum algorithm
J(n,k)} . Element distinctness Given a function f {\displaystyle f} defined on { n } {\displaystyle \{n\}} , it asks to find two distinct elements i
Quantum_walk_search
Chemical element with atomic number 33 (As)
Arsenic is a chemical element; it has the symbol As and atomic number 33. It is a metalloid and one of the pnictogens, and therefore shares many properties
Arsenic
Gospels of Matthew, Mark, and Luke
that Luke has extensively adapted an element of the triple tradition, while others would regard it as a distinct pericope. An illustrative example of
Synoptic_Gospels
Problem-solving tools
zadach, lit. 'theory of inventive problem solving') is a methodology which combines an organized, systematic method of problem-solving with analysis and forecasting
TRIZ
Decision problem pertaining to equivalence of expressions
decides whether they represent the same element. Such an algorithm is called a solution to the word problem. For example, imagine that x , y , z {\displaystyle
Word_problem_(mathematics)
Chemical element with atomic number 13 (Al)
preferred IUPAC name) or aluminum (North American English) is a chemical element; it has symbol Al and atomic number 13. It has a density lower than other
Aluminium
Chemical element with atomic number 19 (K)
Potassium is a chemical element; it has symbol K (from Neo-Latin kalium) and atomic number 19. It is a silvery white metal that is soft enough to easily
Potassium
Axiom of set theory
collection of non-empty sets, one can identify another set containing one element chosen from each set, even if the collection is infinite. Formally, the
Axiom_of_choice
1940 book by C. S. Lewis
The Problem of Pain is a 1940 book on the problem of evil by C. S. Lewis, in which Lewis argues that human pain, animal pain, and hell are not sufficient
The_Problem_of_Pain
Unsolved problem in mathematics
Unsolved problem in mathematics Is every finite group the Galois group of a Galois extension of the rational numbers? More unsolved problems in mathematics
Inverse_Galois_problem
Ability to make choices voluntarily
"Intricately related to the hard problem of consciousness, the hard problem of free will represents the core problem of conscious free will: Does conscious
Free_will
Magical artifacts representing virtues in My Little Pony: Friendship Is Magic
Princess Twilight's element was brought to the human world, a large amount of magic was released. However, after much confusion and problems, Twilight and Sunset
Elements_of_Harmony
Problem of sorting pairs of numbers by their sum
Unsolved problem in computer science Is there an X + Y {\displaystyle X+Y} sorting algorithm faster than O ( n 2 log n ) {\displaystyle O(n^{2}\log
X_+_Y_sorting
Property of differential equations describing physical phenomena
In mathematics, the solution to a well-posed problem satisfies the following properties: It exists; It is unique; Its behavior changes continuously with
Well-posed_problem
Non-zero element of a matrix selected by an algorithm
is usually required to be at least distinct from zero, and often distant from it; in this case finding this element is called pivoting. Pivoting may be
Pivot_element
Basic unit of taxonomic classification, below genus
theoretical difficulties. If species were fixed and distinct from one another, there would be no problem, but evolutionary processes cause species to change
Species
Chemical element with atomic number 16 (S)
Sulfur, formerly sulphur, is a chemical element; it has symbol S and atomic number 16. It is abundant, multivalent and nonmetallic. Under normal conditions
Sulfur
Decomposition of a number into a product
Unsolved problem in computer science Can integer factorization be solved in polynomial time on a classical computer? More unsolved problems in computer
Integer_factorization
Chemical element with atomic number 17 (Cl)
Chlorine is a chemical element; it has symbol Cl and atomic number 17. The second-lightest of the halogens, it appears between fluorine and bromine in
Chlorine
Chemical element with atomic number 48 (Cd)
Cadmium is a chemical element; it has symbol Cd and atomic number 48. This soft, silvery-white metal is chemically similar to the two other stable metals
Cadmium
Systematic classification of 12 related enumerative problems concerning two finite sets
meaning using the familiar balls and boxes example. The rows represent the distinctness of the balls and boxes. The columns represent if multi-packs (more than
Twelvefold_way
Problem of grouping into triples
of Karp's 21 NP-complete problems. It is NP-complete even in the special case that k = |X| = |Y| = |Z| and when each element is contained in at most 3
3-dimensional_matching
Chemical element with atomic number 14 (Si)
Silicon (/ˈsɪl.ɪ.kən/, SILL-ih-kən) is a chemical element; it has symbol Si and atomic number 14. It is a hard, brittle crystalline solid with a blue-grey
Silicon
Shortest paths on a bounded deformed sphere-like quadric surface
two endpoints. The two geodesic problems usually considered are: the direct geodesic problem or first geodesic problem, given A, α1, and s12, determine
Geodesics_on_an_ellipsoid
Algebraic structure with an associative operation and an identity element
binary operation and an identity element. For example, the natural numbers with addition form a monoid, the identity element being 0. Monoids are semigroups
Monoid
Quantum search algorithm
these problems. Grover's algorithm can also give provable speedups for black-box problems in quantum query complexity, including element distinctness and
Grover's_algorithm
Chemical element with atomic number 27 (Co)
Cobalt is a chemical element; it has symbol Co and atomic number 27. As with nickel, cobalt is found in the Earth's crust only in a chemically combined
Cobalt
One-to-one correspondence
function between two sets such that each element of the second set (the codomain) is the image of exactly one element of the first set (the domain). Given
Bijection
Finite collection of distinct objects
maximal element. In ZF set theory without the axiom of choice, the following concepts of finiteness for a set S {\displaystyle S} are distinct. They are
Finite_set
Concepts from linear algebra
problem of complex structures is often solved using finite element analysis, but neatly generalize the solution to scalar-valued vibration problems.
Eigenvalues_and_eigenvectors
Algebraic structure
two-sided identity element. The proofs for the first two identities are somewhat more difficult (Kunen 1996). Phillips' problem is an open problem in the theory
Moufang_loop
Finite element exterior calculus (FEEC) is a mathematical framework that formulates finite element methods using chain complexes. Its main application
Finite element exterior calculus
Finite_element_exterior_calculus
Chemical element with atomic number 73 (Ta)
Tantalum is a chemical element; it has symbol Ta and atomic number 73. It is named after Tantalus, a figure in Greek mythology. Tantalum is a very hard
Tantalum
Region of non-coding DNA that regulates the transcription of neighboring genes
strand or farther away, such as transcription factors. One cis-regulatory element can regulate several genes, and conversely, one gene can have several cis-regulatory
Cis-regulatory_element
Collection of mathematical objects
\{\,\}} . A singleton is a set with exactly one element. If x {\displaystyle x} is this element, the singleton is denoted { x } {\displaystyle
Set_(mathematics)
Geometry problem about finding touching circles
In Euclidean plane geometry, Apollonius's problem is to construct circles that are tangent to three given circles in a plane (Figure 1). Apollonius of
Problem_of_Apollonius
Type of differential equation
difference schemes to the more mature multigrid and finite element methods. Many interesting problems in science and engineering are solved in this way using
Partial_differential_equation
Technique for eliciting medical history
part of the "past medical history" element. The patient was brought up by an aunt; Patient having nasal problems for last 4 days, symptoms including
Review_of_systems
Theoretical object in mathematics
the field with one element is a suggestive name for an object that should behave similarly to a finite field with a single element, if such a field could
Field_with_one_element
Group of chemical elements
true of thorium which is never disputed as an f-block element, and this argument overlooks the problem on the other end: that the f-shells complete filling
Group_3_element
Streaming algorithm
Misra and Gries defined the heavy-hitters problem (though they did not introduce the term heavy-hitters) and described the first algorithm for it in the
Misra–Gries heavy hitters algorithm
Misra–Gries_heavy_hitters_algorithm
Parameters that define a specific orbit
is considered as part of the reference frame and is not listed as a distinct element. Time of periapsis passage ( T0 ) — time at which the orbiting body
Orbital_elements
Mathematical concept for comparing objects
of nonempty subsets of X, such that every element of X is an element of a single element of P. Each element of P is a cell of the partition. Moreover
Equivalence_relation
mathematical algorithm in group theory for solving the automorphic equivalence problem in the finite rank free group Fn. The algorithm is based on a classic 1936
Whitehead's_algorithm
Problem solving method
The key element to applying Ariadne's thread to a problem is the creation and maintenance of a record—physical or otherwise—of the problem's available
Ariadne's_thread_(logic)
Hypothesis about Christian Bible Gospel of Mark
by the other two (Matthew and Luke). It is a central element in discussion of the synoptic problem—the question of the documentary relationship among these
Marcan_priority
Factors that influence engineering design process
solution to the problem at hand. The vital aspects of the conceptualization step is synthesis. Synthesis is the process of taking the element of the concept
Engineering_design_process
Unsolved problem in extremal graph theory
subgraphs of a given size? More unsolved problems in mathematics The Zarankiewicz problem, an unsolved problem in mathematics, asks for the largest possible
Zarankiewicz_problem
Theory of science, reconstructing empirical theories
it puts forward a no-miracles argument. The so-called Newman problem (also Newman's problem, Newman objection, Newman's objection) refers to the critical
Structuralism (philosophy of science)
Structuralism_(philosophy_of_science)
Overview of and topical guide to discrete mathematics
the values of a function Injective function – Function that preserves distinctness Surjection – Mathematical function such that every output has at least
Outline of discrete mathematics
Outline_of_discrete_mathematics
In mathematics, the quadratic eigenvalue problem (QEP), is to find scalar eigenvalues λ {\displaystyle \lambda } , left eigenvectors y {\displaystyle
Quadratic_eigenvalue_problem
Data about other data
may belong to a parent metadata element. Metadata schemata can also be one-dimensional, or linear, where each element is completely discrete from other
Metadata
Chemical element with atomic number 18 (Ar)
Argon is a chemical element; it has symbol Ar and atomic number 18. It is in group 18 of the periodic table and is a noble gas. Argon is the third most
Argon
Mathematical set formed from two given sets
× B, is the set of all ordered pairs (a, b) where a is an element of A and b is an element of B. In terms of set-builder notation, that is A × B = { (
Cartesian_product
Chemical element with atomic number 113 (Nh)
Nihonium is a synthetic chemical element; it has symbol Nh and atomic number 113. It is extremely radioactive: its most stable known isotope, nihonium-286
Nihonium
Method of exchanging cryptographic keys
the element ga of G to Bob. Bob picks a random natural number b with 1 < b < n, and sends the element gb of G to Alice. Alice computes the element (gb)a
Diffie–Hellman_key_exchange
Mathematical problem in number theory
unsolved problems in mathematics In number theory, the Gaussian moat problem asks whether it is possible to find an infinite sequence of distinct Gaussian
Gaussian_moat
Sets with no element in common
and formal logic, two sets are said to be disjoint sets if they have no element in common. Equivalently, two disjoint sets are sets whose intersection
Disjoint_sets
ELEMENT DISTINCTNESS-PROBLEM
ELEMENT DISTINCTNESS-PROBLEM
Male
Polish
 Danish, German, Polish and Swedish form of Greek Klementos, KLEMENS means "gentle and merciful."
Boy/Male
Latin English
Merciful.
Boy/Male
English
Gentle. Famous Bearer: Clement Moore, writer of 'Twas the Night Before Christmas'.
Male
Russian
(Климент) Russian form of Greek Klementos, KLIMENT means "gentle and merciful."
Surname or Lastname
English
English : patronymic from the personal name Clement.German, Dutch, and Danish : from the personal name Clemens (see Clement).Samuel Langhorne Clemens, better known by his pen name, Mark Twain, was descended from VA stock on his father’s side, from a Robert Clemens, who was born in Warwickshire, England, in 1634.
Male
English
Short form of Latin Clementius, CLEMENT means "gentle and merciful." meaning "gentle and merciful." In the bible, this is the name of a companion of Paul.
Male
Turkish
Turkish name derived from the marines in the Ottoman military called Leventler ("the Levents"), LEVENT means "the lions."
Male
Italian
 Italian, Portuguese and Spanish form of Latin Clementius, CLEMENTE means "gentle and merciful."
Boy/Male
English
Gentle. Famous Bearer: Clement Moore, writer of 'Twas the Night Before Christmas'.
Male
Hungarian
Hungarian form of Greek Klementos, KELEMEN means "gentle and merciful."
Male
English
English surname transferred to forename use, derived from Latin Clemens or Clement, CLEMENTS means "gentle and merciful."
Boy/Male
English American Biblical Latin
Gentle. Famous Bearer: Clement Moore, writer of 'Twas the Night Before Christmas'.
Biblical
mild; good; merciful
Male
Slovene
Slovene form of Greek Klementos, KLEMEN means "gentle and merciful."
Boy/Male
Australian, British, Danish, Dutch, English, Finnish, French, German, Irish, Latin, Swedish
Gentle; Merciful; Mild; Form of Clement
Boy/Male
African, American, Australian, British, Chinese, Christian, Danish, English, French, German, Greek, Indian, Jamaican, Latin, Swedish, Swiss
Merciful; Mild; Gentle; Giving Mercy; Merciful in French
Boy/Male
English American Danish
Gentle. Famous Bearer: Clement Moore, writer of 'Twas the Night Before Christmas'.
Boy/Male
Czechoslovakian, Danish, German, Greek, Latin, Polish
Giving Mercy; Mild; Merciful
Surname or Lastname
English, French, and Dutch
English, French, and Dutch : from the Latin personal name Clemens meaning ‘merciful’ (genitive Clementis). This achieved popularity firstly through having been borne by an early saint who was a disciple of St. Paul, and later because it was selected as a symbolic name by a number of early popes. There has also been some confusion with the personal name Clemence (Latin Clementia, meaning ‘mercy’, an abstract noun derived from the adjective; in part a masculine name from Latin Clementius, a later derivative of Clemens). As an American family name, Clement has absorbed cognates in other continental European languages. (For forms, see Hanks and Hodges 1988.)
Surname or Lastname
English
English : patronymic from the personal name Clement. As an American family name, this form has absorbed cognates in other continental European languages. (For forms, see Hanks and Hodges 1988.)
ELEMENT DISTINCTNESS-PROBLEM
ELEMENT DISTINCTNESS-PROBLEM
Girl/Female
Tamil
Preity | பà¯à®°à¯‡à®ˆà®¤à¯à®¯
Affection, Love
Boy/Male
African, Arabic, Australian, Egyptian, Hebrew, Japanese, Swahili, Swedish
The Messiah; From Kikuyu; God Saves; God is Our Salvation; God's Promise; God is My Oath; Loyal
Boy/Male
French, German, Greek, Italian, Latin, Spanish
Sacred Name; Spanish Form of Jerome Sacred; Variant of the Saint's Name Jerome; Holy Name
Boy/Male
Indian
Good habit, Plus point
Girl/Female
Biblical
Answer, song, affliction.
Girl/Female
Indian, Sanskrit
Fire; Flame; Lord Vishnu
Boy/Male
Gujarati, Hindu, Indian, Kannada, Marathi, Tamil, Telugu
Lord Venkateshwara; Lord of Seven Hills
Boy/Male
Latin
Curly-haired.
Male
Russian
(ОниÑим) Russian form of Greek Onesimos, ONISIM means "profitable, useful."
Surname or Lastname
English and Scottish
English and Scottish : variant spelling of Hailes.
ELEMENT DISTINCTNESS-PROBLEM
ELEMENT DISTINCTNESS-PROBLEM
ELEMENT DISTINCTNESS-PROBLEM
ELEMENT DISTINCTNESS-PROBLEM
ELEMENT DISTINCTNESS-PROBLEM
a.
Constituting one of eleven parts into which a thing is divided; as, the eleventh part of a thing.
n.
Nice discrimination; hence, clearness; precision; as, he stated his arguments with great distinctness.
n.
To overlay or coat with cement; as, to cement a cellar bottom.
n.
Freedom from confusion; distinctness.
n.
The quotient of a unit divided by eleven; one of eleven equal parts.
n.
The four elements were, air, earth, water, and fire
n.
One of the necessary data or values upon which a system of calculations depends, or general conclusions are based; as, the elements of a planet's orbit.
v. t.
To constitute; to make up with elements.
n.
The quality or condition of being indistinct; want of definiteness; dimness; confusion; as, the indistinctness of a picture, or of comprehension; indistinctness of vision.
n.
The simplest or fundamental principles of any system in philosophy, science, or art; rudiments; as, the elements of geometry, or of music.
n.
The elements of the alchemists were salt, sulphur, and mercury.
n.
One out of several parts combined in a system of aggregation, when each is of the nature of the whole; as, a single cell is an element of the honeycomb.
n.
Distinctness.
a.
Acting with great force; furious; violent; impetuous; forcible; mighty; as, vehement wind; a vehement torrent; a vehement fire or heat.
a.
Pertaining to the elements, first principles, and primary ingredients, or to the four supposed elements of the material world; as, elemental air.
n.
Sometimes a curve, or surface, or volume is considered as described by a moving point, or curve, or surface, the latter being at any instant called an element of the former.
n.
One of the ultimate parts which are variously combined in anything; as, letters are the elements of written language; hence, also, a simple portion of that which is complex, as a shaft, lever, wheel, or any simple part in a machine; one of the essential ingredients of any mixture; a constituent part; as, quartz, feldspar, and mica are the elements of granite.
n.
Any outline or sketch, regarded as containing the fundamental ideas or features of the thing in question; as, the elements of a plan.
n.
An infinitesimal part of anything of the same nature as the entire magnitude considered; as, in a solid an element may be the infinitesimal portion between any two planes that are separated an indefinitely small distance. In the calculus, element is sometimes used as synonymous with differential.
v. t.
To compound of elements or first principles.