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Mathematical set of all subsets of a set
mathematics, the power set (or powerset) of a set S is the set of all subsets of S, including the empty set and S itself. In axiomatic set theory (as developed
Power_set
Collection of mathematical objects
set theory, has been generally adopted as a foundation of set theory and all mathematics, though much of mathematics does not require its full power.
Set_(mathematics)
Branch of mathematics that studies sets
constructions in set theory, such as the power set of a set A, which is the set of all possible subsets of A. He later proved that the size of the power set of A
Set_theory
Standard system of axiomatic set theory
where Z 0 {\displaystyle Z_{0}} is any infinite set and P {\displaystyle {\mathcal {P}}} is the power set operation. Moreover, one of Zermelo's axioms invoked
Zermelo–Fraenkel_set_theory
Concept in axiomatic set theory
of power set is one of the Zermelo–Fraenkel axioms of axiomatic set theory. It guarantees for every set x {\displaystyle x} the existence of a set P (
Axiom_of_power_set
Any one of the distinct objects that make up a set in set theory
which is the set of all possible dependent set variables y resulting from satisfaction of the conditions of membership for x, is the power set of U such
Element_of_a_set
Mathematical set formed from two given sets
that set, where P {\displaystyle {\mathcal {P}}} represents the power set operator. Therefore, the existence of the Cartesian product of any two sets in
Cartesian_product
Upcoming American drama series
Power: Origins is an upcoming American crime drama television series created by Sascha Penn that is set to premiere on Starz. It is the fourth upcoming
Power:_Origins
Set of the elements not in a given subset
In set theory, the complement of a set A, often denoted by A c {\displaystyle A^{c}} (or A′), is the set of elements not in A. When all elements in the
Complement_(set_theory)
Mathematical set containing no elements
itself; equivalently, the power set of the empty set is the set containing only the empty set. The number of elements of the empty set (i.e., its cardinality)
Empty_set
Mathematical set that can be enumerated
mathematical set is countable if either it is finite or it can be put in one to one correspondence with the set of natural numbers. Equivalently, a set is countable
Countable_set
Music boxset by John Lennon and Yoko Ono
Power to the People is a box set by John Lennon and Yoko Ono released on 10 October 2025 through Mercury Records. The box showcases Lennon and Ono's historic
Power_to_the_People_(box_set)
Diagram that shows all possible logical relations between a collection of sets
between sets, popularized by John Venn (1834–1923) in the 1880s. The diagrams are used to teach elementary set theory, and to illustrate simple set relationships
Venn_diagram
Set whose elements all belong to another set
(or power) than the former set. Another example in an Euler diagram: A is a proper subset of B. C is a subset but not a proper subset of B. The set of
Subset
Arithmetic operation
2^{-2}} is a quarter. Powers of 2 appear in set theory, since a set with n members has a power set, the set of all of its subsets, which has 2n members
Exponentiation
Set of elements common to all of some sets
In set theory, the intersection of two sets A {\displaystyle A} and B , {\displaystyle B,} denoted by A ∩ B , {\displaystyle A\cap B,} is the set containing
Intersection_(set_theory)
Paradox in set theory
built up from the empty set by transfinitely iterating the power set operation. It is thus possible again to reason about sets in a non-axiomatic fashion
Russell's_paradox
Set of elements in any of some sets
In set theory, the union (denoted by ∪) of a collection of sets is the set of all elements in the collection. It is one of the fundamental operations
Union_(set_theory)
Set that is not a finite set
union is infinite. The power set of an infinite set is infinite. Any superset of an infinite set is infinite. If an infinite set is partitioned into finitely
Infinite_set
Size of a set in mathematics
an infinite set", specifically, a set with cardinality of the natural numbers N {\displaystyle \mathbb {N} } ; the Axiom of power set, which says that
Cardinality
Identities and relationships involving sets
mathematics, particularly in the study of set theory, the algebra of sets defines the properties and laws of sets, the set-theoretic operations of union, intersection
Algebra_of_sets
Class of mathematical sets
T} of subsets of X {\displaystyle X} (that is, for any subset of the power set P {\displaystyle {\mathcal {P}}} ( X ) {\displaystyle (X)} of X {\displaystyle
Borel_set
Computer instruction set architecture
Power ISA is a reduced instruction set computer (RISC) instruction set architecture (ISA) currently developed by the OpenPOWER Foundation, led by IBM.
Power_ISA
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
Mathematical set with an ordering
set of subsets of a given set (its power set) ordered by inclusion (see Fig. 1). Similarly, the set of sequences ordered by subsequence, and the set of
Partially_ordered_set
Elements in exactly one of two sets
addition modulo 2. The power set of any set becomes an abelian group under the operation of symmetric difference, with the empty set as the neutral element
Symmetric_difference
Informal set theories
empty set are also members of any set A is vacuously true). The set of all subsets of a given set A is called the power set of A and is denoted by 2 A {\displaystyle
Naive_set_theory
Finite collection of distinct objects
finite sets is finite. A finite set with n {\displaystyle n} elements has 2 n {\displaystyle 2^{n}} distinct subsets. That is, the power set ℘ ( S )
Finite_set
Collection of sets in mathematics that can be defined based on a property of its members
In set theory and its applications throughout mathematics, a class is a collection of mathematical objects (often sets) that can be unambiguously defined
Class_(set_theory)
Infinite set that is not countable
mathematics, an uncountable set, informally, is an infinite set that contains too many elements to be countable. The uncountability of a set is closely related
Uncountable_set
Algebraic structure in mathematics
"algebra" in measure theory.) One example of a Boolean ring is the power set of any set X, where the addition in the ring is symmetric difference, and the
Boolean_ring
Mathematical set containing all objects
set concerns the power set of the set of all sets. Because this power set is a set of sets, it would necessarily be a subset of the set of all sets,
Universal_set
American actor (1914–1958)
Tyrone Edmund Power III (May 5, 1914 – November 15, 1958) was an American actor. From the 1930s to the 1950s, Power appeared in dozens of films, often
Tyrone_Power
Any collection of sets, or subsets of a set
families of sets satisfying certain restrictions. The collection of all subsets of a given set S {\displaystyle S} is called the power set of S {\displaystyle
Family_of_sets
System of mathematical set theory
power set, which state the existence of these sets, to the above axioms that state there is a set containing the union and a set containing the power
Von Neumann–Bernays–Gödel set theory
Von_Neumann–Bernays–Gödel_set_theory
Technical treatment of Boolean algebras
subalgebra of a power set algebra is called a field of sets; equivalently a field of sets is a set of subsets of some set W including the empty set and W and
Boolean algebras canonically defined
Boolean_algebras_canonically_defined
Family of subsets representing "large" sets
Specifically, a filter on a set X {\displaystyle X} is an order filter on the power set of X {\displaystyle X} ordered by inclusion. The notion dual to a filter
Filter_on_a_set
Use of braces for specifying sets
{Z} ,n=2k\}} — The set of all even integers, expressed in set-builder notation. In mathematics and more specifically in set theory, set-builder notation
Set-builder_notation
Set theory concept
follows: Let V0 be the empty set: V 0 := ∅ . {\displaystyle V_{0}:=\varnothing .} For any ordinal number β, let Vβ+1 be the power set of Vβ: V β + 1 := P ( V
Von_Neumann_universe
Egyptian god of the desert, storms, violence, and foreigners
"Contendings", Isis uses her cunning and magical power to aid her son. The rivalry of Horus and Set is portrayed in two contrasting ways. Both perspectives
Set_(deity)
Instruction set
IBM POWER is a reduced instruction set computer (RISC) instruction set architecture (ISA) developed by IBM. The name is an acronym for Performance Optimization
IBM_POWER_architecture
Subset of a preorder that contains all larger elements
set containing a neighborhood of the point is a neighborhood of that point. Any filter on a set X {\displaystyle X} is an upper set in the power set of
Upper_and_lower_sets
Maximal proper filter
Ultrafilters on sets are an important special instance of ultrafilters on partially ordered sets, where the partially ordered set consists of the power set P ( X
Ultrafilter_on_a_set
of a set S (all possible choices of its elements) form the power set P(S). Georg Cantor proved that the power set is always larger than the set, i.e.
Paradoxes_of_set_theory
Generalization of "n-th" to infinite cases
In set theory, an ordinal number, or ordinal, is a generalization of ordinal numerals (first, second, nth, etc.) aimed to extend enumeration to infinite
Ordinal_number
Italian renewable energy corporation
Green Power S.p.A. is an Italian multinational renewable energy corporation, headquartered in Rome. The company was formed as a subsidiary of the power generation
Enel_Green_Power
Fractal named after mathematician Benoit Mandelbrot
value of power variable can be modified to generate an image of equivalent multibrot set ( z = z power + c {\displaystyle z=z^{\text{power}}+c} ). For
Mandelbrot_set
Special subset of a partially ordered set
from the specific case of a power set under inclusion to arbitrary partially ordered sets. Nevertheless, the theory of power-set filters retains interest
Filter_(mathematics)
Method for making finite automata deterministic
the input. In contrast, to simulate an NFA, one needs to keep track of a set of states: all of the states that the automaton could reach after seeing
Powerset_construction
System of mathematical set theory
set follows from the axiom of Δ0-separation, and is thus redundant. As noted, the above axioms are together weaker than ZFC as they exclude the power
Kripke–Platek_set_theory
Problem in computer science
In order to meet these requirements, programmers apply the rule of least power and use restricted styles, not quite fully Turing-complete, that make it
Halting_problem
Function from sets to numbers
if it is non-negative, countably subadditive, has a null empty set, and has the power set ℘ ( Ω ) {\displaystyle \wp (\Omega )} as its domain. Outer measures
Set_function
System of mathematical set theory
forms of the axiom of choice. Power set: Let p be a class whose members are all possible subsets of the set a. Then p is a set. ∀ a ∀ p [ ( M a ∧ ∀ x [ x
Morse–Kelley_set_theory
Non-empty family of sets that is closed under finite unions and subsets
is either the power set ℘ ( X ) {\displaystyle \wp (X)} or else a proper filter on X {\displaystyle X} ). The ideal of all finite sets of natural numbers
Ideal_on_a_set
Set with algorithmic membership test
In computability theory, a set of natural numbers is computable (or decidable or recursive) if there is an algorithm that computes the membership of every
Computable_set
Every set is smaller than its power set
} known as the power set of A , {\displaystyle A,} has a strictly greater cardinality than A {\displaystyle A} itself. For finite sets, Cantor's theorem
Cantor's_theorem
Set of freeware system utilities for Windows
Microsoft PowerToys is an open source set of system utilities for power users for use on Windows. These programs add or change features to maximize productivity
Microsoft_PowerToys
2026 film by John Carney
Rick's song to reignite his own solo career, Rick sets out for the recognition he believes he deserves. Power Ballad had its world premiere at the Dublin International
Power_Ballad_(film)
Mathematical concept
elements of some set S {\displaystyle S} have a notion of equivalence (formalized as an equivalence relation), then one may naturally split the set S {\displaystyle
Equivalence_class
Set with exactly one element
a singleton (also known as a unit set or one-point set) is a set with exactly one element. For example, the set { 0 } {\displaystyle \{0\}} is a singleton
Singleton_(mathematics)
Infinite Cardinal number
the real line, or the number of sets of real numbers the power set of the power set of the set of natural numbers the set of all functions from R {\displaystyle
Beth_number
Algebraic concept in measure theory, also referred to as an algebra of sets
represented as a power set – the power set of its set of atoms; each element of the Boolean algebra corresponds to the set of atoms below it (the join of
Field_of_sets
Infinite cardinal number
beginnings ... Jech, Thomas (2003). Set Theory. Springer Monographs in Mathematics. Berlin, New York: Springer-Verlag. "Power of the continuum | mathematics
Aleph_number
Maximal proper filter
X {\displaystyle X} is an arbitrary set, its power set P ( X ) , {\displaystyle {\mathcal {P}}(X),} ordered by set inclusion, is always a Boolean algebra
Ultrafilter
Particular class of sets which can be described entirely in terms of simpler sets
which is a subset of the power set of L α {\displaystyle L_{\alpha }} . Consequently, this is a tower of nested transitive sets. But L {\displaystyle L}
Constructible_universe
Concept in mathematical logic
In set theory, a hereditary set (or pure set) is a set whose elements are all hereditary sets. That is, all elements of the set are themselves sets, as
Hereditary_set
Indian energy company
Reliance Power Limited (R-Power), formerly Reliance Energy Generation Limited (REGL) is a part of the Reliance Group. It was established to develop, construct
Reliance_Power
This page lists films that are set fully, or almost entirely, in only one location. Such films are sometimes referred to as "bottle movies" or "chamber
List of films set in a single location
List_of_films_set_in_a_single_location
Sets with no element in common
of sets. By definition, a collection of sets is called a family of sets (such as the power set, for example). In some sources this is a set of sets, while
Disjoint_sets
Canadian actress
26, 2021). "'Kim Convenience's Andrew Phung & Nicole Power Set New Comedies At Canada's CBC". Deadline. Retrieved January 6, 2026. Nicole Power at IMDb
Nicole_Power
The real numbers or their cardinality
_{0}}\!} , the cardinality of the power set of the natural numbers. The cardinality of the continuum is the size of the set of real numbers. The continuum
Continuum_(set_theory)
Class of mathematical set whose elements are all subsets
X\subseteq {\mathcal {P}}(X).} The power set of a transitive set without urelements is transitive. The transitive closure of a set X {\displaystyle X} is the
Transitive_set
Axiomatic set theories based on the principles of mathematical constructivism
defined on a set. The power set axiom further implies the existence of a set of truth values. In the presence of excluded middle, this set has two elements
Constructive_set_theory
Axiom of set theory
essentially powersets of other sets: For any set A {\displaystyle A} , the power set of A {\displaystyle A} (with the empty set removed) has a choice function
Axiom_of_choice
Notion in computational learning
intersection is equal to A's power set: P(A) = { c ∩ A | c ∈ C }. We employ the letter C to refer to a "class" or "collection" of sets, as in a Vapnik–Chervonenkis
Shattered_set
American fantasy television series
season is set to premiere in November 2026. The Lord of the Rings: The Rings of Power is based on J. R. R. Tolkien's history of Middle-earth. Set thousands
The Lord of the Rings: The Rings of Power
The_Lord_of_the_Rings:_The_Rings_of_Power
Sets can be classified according to the properties they have. Empty set Finite set, Infinite set Countable set, Uncountable set Power set Closed set Open
List_of_types_of_sets
Cardinality of the set of real numbers
R {\displaystyle \mathbb {R} } has the same number of elements as the power set of N {\displaystyle \mathbb {N} } . Symbolically, if the cardinality of
Cardinality_of_the_continuum
Retired class of electric multiple unit train
the power cars. All were formed into either four-car S sets or two-car T sets. In practice, there were only a few diagrams requiring two carriage sets. For
New_South_Wales_S_set
Operation in algebra and mathematics
endofunctors. The power set monad is a monad P {\displaystyle {\mathcal {P}}} on the category S e t {\displaystyle \mathbf {Set} } : For a set A {\displaystyle
Monad_(category_theory)
Bodybuilding and weight training technique
In bodybuilding and weight training, using drop sets (a.k.a. dropsets, descending sets, strip sets, the multi-poundage system the stripping method, triple-drops
Drop_set
Category whose objects are sets and whose morphisms are functions
classifier in Set. The power object of a set A is given by its power set, and the exponential object of the sets A and B is given by the set of all functions
Category_of_sets
Relationship between elements of two sets
A binary relation over sets X {\displaystyle X} and Y {\displaystyle Y} can be identified with an element of the power set of the Cartesian product
Binary_relation
Equalities for combinations of sets
read as: ( Left set ∖ Middle set ) ∖ Right set = ( Left set ∖ Right set ) ∖ ( Middle set ∖ Right set ) . {\displaystyle ({\text{Left set}}\,\setminus
List of set identities and relations
List_of_set_identities_and_relations
Property of operations
integer power, and literally means "(the quality of having) the same power", from idem + potence (same + power). An element x {\displaystyle x} of a set S {\displaystyle
Idempotence
System of mathematical set theory
of the power set (Axiom der Potenzmenge) "To every set T there corresponds a set T' , the power set of T, that contains as elements precisely all subsets
Zermelo_set_theory
Theorem in set theory
to { 0 , 1 } {\displaystyle \{0,1\}} , that is, the cardinality of the power set of κ {\displaystyle \kappa } . Thus, Kőnig's theorem gives us a proof
Kőnig's_theorem_(set_theory)
Mathematical logic concept
In computability theory, a set S of natural numbers is called computably enumerable (c.e.), recursively enumerable (r.e.), semidecidable, partially decidable
Computably_enumerable_set
Particular correspondence between two partially ordered sets
Then F and G form a monotone Galois connection between the power set of X and the power set of Y, both ordered by inclusion ⊆. There is a further adjoint
Galois_connection
Device to create output for a television
A set-top box (STB), also known as a cable box, receiver, or simply box, and historically television decoder or a converter, is an information appliance
Set-top_box
A Set tool is a blacksmithing tool meant to be struck by a hammer, either a sledge or power. Set tools are usually made with a handle to keep the smith
Set_tool
Algebraic manipulation of "true" and "false"
The power set 2X of X, consisting of all subsets of X. Here X may be any set: empty, finite, infinite, or even uncountable. Example 2. The empty set and
Boolean_algebra
related to set theory. Algebra of sets Axiom of choice Axiom of countable choice Axiom of dependent choice Zorn's lemma Axiom of power set Boolean-valued
List_of_set_theory_topics
Mapping function
an additive set function is a function μ \mu mapping sets to numbers, with the property that its value on a union of two disjoint sets equals the sum
Sigma-additive_set_function
OverPower is a collectible trading card game developed by Fleer and Marvel in 1995. Several major sets/expansions were produced to provide game cards,
List_of_OverPower_card_sets
Function in mathematical logic
K^{n-2}+\cdots +h(s_{n-1})\times K^{1}+h(s_{n})\times K^{0}.} If K is chosen to be a power of 10, this scheme makes it fairly easy for a human to convert between a
Gödel_numbering
Theory that allows sets to be elements of themselves
Non-well-founded set theories (sometimes unhyphenated, as nonwellfounded; or poorly founded) are variants of axiomatic set theory that allow sets to be elements
Non-well-founded_set_theory
Set-to-real map with diminishing returns
}\rightarrow \mathbb {R} } , where 2 Ω {\displaystyle 2^{\Omega }} denotes the power set of Ω {\displaystyle \Omega } , which satisfies one of the following equivalent
Submodular_set_function
Mathematician (1845–1918)
constructions in set theory, such as the power set of a set A, which is the set of all possible subsets of A. He later proved that the size of the power set of A
Georg_Cantor
System of mathematical set theory
power set. It also implies the existence of inaccessible cardinals, thanks to which the ontology of TG is much richer than that of conventional set theories
Tarski–Grothendieck set theory
Tarski–Grothendieck_set_theory
POWER SET
POWER SET
Surname or Lastname
English
English : occupational name for a baker, doghere, from an agent derivative of Middle English dogh ‘dough’.Probably an Americanized spelling of German Dauer.
Surname or Lastname
English
English : variant of Powell.North German : from a form of the personal name Paul.
Boy/Male
Tamil
Power
Surname or Lastname
English (of Norman origin)
English (of Norman origin) : regional name for someone from the district north of Paris known in Old French as Gohiere.English (of Norman origin) : habitational name from any of the various places in northern France called Gouy (from the Gallo-Roman personal name Gaudius + the locative suffix -acum), with the addition of the Anglo-Norman French suffix -er.English : from a Norman personal name, Go(h)ier, cognate with the Old English name mentioned at Gooder.Welsh : from the peninsula in southern Wales, of which the Welsh name is Gŵyr.Probably an Americanized spelling of German Gauer.
Surname or Lastname
Irish (Leinster and Munster) and English (of Norman origin)
Irish (Leinster and Munster) and English (of Norman origin) : habitational name for someone from Pois, a place in Picardy (said to have been named with Old French pois ‘fish’ because of its well-stocked river), from Old French Pohier ‘native of Pois’.English : nickname for a poor man, or ironically for a miser, from Middle English, Old French povre, poure ‘poor’ (Latin pauper). Woulfe gives this also as the meaning of the Norman Irish name, which in early records is found as le Poer, believing it to be a nickname for someone who has taken a vow of poverty.
Boy/Male
Australian, Danish, Swedish
Strong Power; Hardy Power
Surname or Lastname
English
English : topographic name for someone who lived near a tower, usually a defensive fortification or watchtower, from Middle English, Old French tūr (Latin turris).English : occupational name for someone who dressed white leather, cured with alum rather than tanned with bark, from an agent derivative of Middle English taw(en) (Old English tawian ‘to prepare, make ready’).English : Americanized spelling of German Tauer.
Boy/Male
Tamil
Power
Boy/Male
British, English
Surname Related to Paul; Small
Surname or Lastname
English
English : nickname for a vain or proud man, from Middle English po ‘peacock’. Compare Peacock.Welsh : variant of Pugh.
Surname or Lastname
English (East Anglia, chiefly Norfolk)
English (East Anglia, chiefly Norfolk) : occupational name for someone who mowed pasture lands to provide hay, from an agent derivative of Middle English mow(en) ‘mow’ (Old English mÄwen).Welsh : nickname from mawr ‘big’ (see Moore 6).German (Möwer) : nickname from an agent derivative of Middle High German mÅven ‘to torment, trouble, or burden’.
Surname or Lastname
German
German : habitational name for someone from Posa or Poserna, south of Merseburg, or a variant of Pose (see Posey).English : variant of Peiser.
Boy/Male
Tamil
Power
Surname or Lastname
English (of Norman origin)
English (of Norman origin) : occupational name denoting a servant who carried the ewer to guests at table so that they could wash their hands, Anglo-Norman French and Middle English ewerer (related to ewere ‘jug’), with the French definite article l’.Cornish : variant of Flower 4.
Surname or Lastname
Scottish
Scottish : occupational name for a bow maker, Older Scots bowar, equivalent to English Bowyer.English and Scottish : from Middle English bur, bour ‘bower’, ‘cottage’, ‘inner room’ (Old English būr), hence a topographic name for someone who lived in a small cottage, an occupational name for a house servant who attended his master in his private quarters (see Bowerman), or a habitational name from any of various places, for example in Essex, named Bower or Bowers from this word.
Boy/Male
Welsh Shakespearean
Pure.
Boy/Male
Hindu
Power
Surname or Lastname
English
English : variant of Power.
Boy/Male
Tamil
Power
Boy/Male
Tamil
Logenthiran | லோகேநà¯à®¤à¯€à®°à®£
Power
POWER SET
POWER SET
Boy/Male
Australian, French, Hawaiian, Hebrew, Jewish, Slavic
Very Bright; Brilliance; Brightness; Full of Life; To Shine; Beauty; Bird
Boy/Male
Dutch, German
Wise Counsel; Honest Advisor; Bold Counsel
Boy/Male
Arabic, Indian
The Inviter
Biblical
one that passes; anger
Female
Czechoslovakian
, free.
Male
Czechoslovakian
, love's peace (or, the world).
Girl/Female
Tamil
Avanija | அவாநீஜா
Goddess Parvati
Surname or Lastname
English
English : habitational name from an unidentified place, perhaps a variant of Crockford.
Girl/Female
Latin
Defender of man.
Girl/Female
Tamil
Partner, Chaste woman
POWER SET
POWER SET
POWER SET
POWER SET
POWER SET
n.
The agent exercising an ability to act; an individual invested with authority; an institution, or government, which exercises control; as, the great powers of Europe; hence, often, a superhuman agent; a spirit; a divinity.
n.
Ability, regarded as put forth or exerted; strength, force, or energy in action; as, the power of steam in moving an engine; the power of truth, or of argument, in producing conviction; the power of enthusiasm.
n.
The rate at which mechanical energy is exerted or mechanical work performed, as by an engine or other machine, or an animal, working continuously; as, an engine of twenty horse power.
n.
Hence, vested authority to act in a given case; as, the business was referred to a committee with power.
a.
To bring down; to humble; as, to lower one's pride.
n.
Capacity of undergoing or suffering; fitness to be acted upon; susceptibility; -- called also passive power; as, great power of endurance.
n.
A large quantity; a great number; as, a power o/ good things.
a.
To reduce the degree, intensity, strength, etc., of; as, to lower the temperature of anything; to lower one's vitality; to lower distilled liquors.
v. t.
To sprinkle with powder, or as with powder; to be sprinkle; as, to powder the hair.
v. i.
To be reduced to powder; to become like powder; as, some salts powder easily.
n.
A machine acted upon by an animal, and serving as a motor to drive other machinery; as, a dog power.
n.
Ability to act, regarded as latent or inherent; the faculty of doing or performing something; capacity for action or performance; capability of producing an effect, whether physical or moral: potency; might; as, a man of great power; the power of capillary attraction; money gives power.
n.
Mental or moral ability to act; one of the faculties which are possessed by the mind or soul; as, the power of thinking, reasoning, judging, willing, fearing, hoping, etc.
n.
The product arising from the multiplication of a number into itself; as, a square is the second power, and a cube is third power, of a number.
a.
To reduce the height of; as, to lower a fence or wall; to lower a chimney or turret.
n.
Applied force; force producing motion or pressure; as, the power applied at one and of a lever to lift a weight at the other end.
a.
To let descend by its own weight, as something suspended; to let down; as, to lower a bucket into a well; to lower a sail or a boat; sometimes, to pull down; as, to lower a flag.
n.
A mechanical agent; that from which useful mechanical energy is derived; as, water power; steam power; hand power, etc.