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Mathematical ordering with upper bounds
assume that a directed set is directed upward, unless otherwise stated. Other authors call a set directed if and only if it is directed both upward and
Directed_set
Graph with oriented edges
specifically in graph theory, a directed graph (or digraph) is a graph that is made up of a set of vertices connected by directed edges, often called arcs.
Directed_graph
Topics referred to by the same term
Look up direct in Wiktionary, the free dictionary. Direct may refer to: Directed set, in order theory Direct limit of (pre), sheaves Direct sum of modules
Direct
Mathematical phrase
ordered set is a directed-complete partial order (dcpo) if each of its directed subsets has a supremum. (A subset of a partial order is directed if it is
Complete_partial_order
Directed graph with no directed cycles
particularly graph theory, and computer science, a directed acyclic graph (DAG) is a directed graph with no directed cycles. That is, it consists of vertices and
Directed_acyclic_graph
Special case of colimit in category theory
smaller objects. The direct limit of the objects A i {\displaystyle A_{i}} , where i {\displaystyle i} ranges over some directed set I {\displaystyle I}
Direct_limit
Subset of a preorder that contains all larger elements
a lower set. However, an ideal is also commonly defined specifically as a lower set which is upward directed. Dually, a filter is an upper set that is
Upper_and_lower_sets
American drama film
The Julia Set is an upcoming American coming-of-age drama film written and directed by Niki Byrne, starring Chase Infiniti, Gillian Anderson, Christopher
The_Julia_Set
2018 American film
Set It Up is a 2018 American romantic comedy film directed by Claire Scanlon, written by Katie Silberman, and starring Zoey Deutch, Glen Powell, Taye Diggs
Set_It_Up
Protein engineering method
Directed evolution (DE) is a method used in protein engineering that mimics the process of natural selection to steer proteins or nucleic acids toward
Directed_evolution
Generalization of the Cartesian product
underlying set is the Cartesian product of the underlying sets of the given structures. The direct sum of a collection of structures agrees with the direct product
Direct_product
Series of online presentations by Nintendo
announced, launches in 2025". Gematsu. Retrieved January 16, 2025. Nintendo Direct set for April 2. Kennedy, Victoria (April 2, 2025). "Mario Kart World announced
Nintendo_Direct
Specific film distribution method
Nick: A Legend in His Own Mind (1984), produced by CineTel Films, and directed by Robert Hegyes. Hollywood realized that the video shelf was its own marketplace
Direct-to-video
Collection of multimedia related APIs on Microsoft platforms
Microsoft later set out to develop a gaming console, the X was used as the basis of the name Xbox to indicate that the console was based on DirectX technology
DirectX
Fractal named after mathematician Benoit Mandelbrot
The Mandelbrot set (/ˈmændəlbroʊt, -brɒt/) is a two-dimensional set. It is defined in the complex plane as the complex numbers c {\displaystyle c} for
Mandelbrot_set
Mathematical set with an ordering
substring. The set of natural numbers equipped with the relation of divisibility. (see Fig. 3 and Fig. 6) The vertex set of a directed acyclic graph ordered
Partially_ordered_set
Concept in order theory
directed set, then its join (if it exists) is called a directed join or directed supremum. Dually, if S {\displaystyle S} is a downward directed set,
Join_and_meet
set in the city of Rome during the Roman Kingdom, the Roman Republic, or the Roman Empire. The films only partly set in Rome are so noted. Films set during
List of films set in ancient Rome
List_of_films_set_in_ancient_Rome
movie intertwined with an action genre setting or a film that is simply set around the Christmas and holiday season. Christmas-themed feature films that
List_of_Christmas_films
Physical simulation to visualize graphs
force-directed algorithms, being physical simulations, usually require no special knowledge about graph theory such as planarity. Force-directed graph
Force-directed_graph_drawing
British zombie horror miniseries
Dead Set is a British satirical zombie comedy horror television miniseries created and written by Charlie Brooker and directed by Yann Demange. Set on the
Dead_Set
Function from sets to numbers
{C} ,} or a normed space), where recall that this net's domain is the directed set ( Finite ( I ) , ⊆ ) . {\displaystyle (\operatorname {Finite} (I),\subseteq
Set_function
1957 film by Walter Lang
impact of automation and artificial intelligence replacing human labor. Directed by Walter Lang, the picture's screenplay was written by Phoebe Ephron and
Desk_Set
Branch of mathematics relating to posets
that plays an important role in the theory is that of a directed subset of a domain; a directed subset is a non-empty subset of the order in which any
Domain_theory
1996 film directed by F. Gary Gray
Set It Off is a 1996 American crime action film directed by F. Gary Gray and written by Kate Lanier and Takashi Bufford. The film stars Jada Pinkett, Queen
Set_It_Off_(film)
Branch of topology
specifies also when a point is the limit of more general sets of points indexed by a directed set, known as nets. A function is continuous only if it takes
General_topology
of directed spaces are spacetimes and simplicial sets. The basic goal is to find algebraic invariants that classify directed spaces up to directed analogues
Directed_algebraic_topology
Generalization of a sequence of points
may be taken as the definition. This result depends on the directedness condition; a set indexed by a general preorder or partial order may have distinct
Net_(mathematics)
Algebraic structure formed from a collection of algebraic structures
the phrase "direct product" is used. When the index set is infinite, the direct sum is not the same as the direct product since the direct sum has the
Direct_sum
there are 126 card sets for the game released in English and as of April 2022, there are 91 released in Japan, including special sets. As of September 2017
List of Pokémon Trading Card Game sets
List_of_Pokémon_Trading_Card_Game_sets
Family of subsets representing "large" sets
j\geq i\}} for i ∈ I {\displaystyle i\in I} ; it is downwards-closed by directedness of I {\displaystyle I} . The generated filter is called the eventuality
Filter_on_a_set
Mathematical set regarded as insignificant
nowhere-dense sets (where a set is nowhere-dense if it is not dense in any open set). Then the negligible sets form a sigma-ideal. Let X be a directed set, and
Negligible_set
Set of points on a line segment with certain topological properties
In mathematics, the Cantor set is a self-similar set of points lying on a single line segment that has a number of unintuitive properties. It was discovered
Cantor_set
Class of electric trains operating in Sydney, Australia
The A and B sets, also referred to as the Waratah trains, are classes of double-decker electric multiple units (EMU) that operate on the Sydney Trains
New_South_Wales_A_and_B_sets
Design decisions affecting processor cache speeds and sizes
set of cache lines by the cache's placement policy. There are three different policies available for placement of a memory block in the cache: direct-mapped
Cache_placement_policies
American filmmaker and actor (born 1950)
himself. In 1986, Landis directed Three Amigos, which featured Chevy Chase, Martin Short, and Steve Martin. He then co-directed and produced the 1987 satirical
John_Landis
Mathematical property of subsets in order theory
a directed set, which is a preordered set with additional properties. Final functions A map f : X → A {\displaystyle f:X\to A} between two directed sets
Cofinal_(mathematics)
Special subset of a partially ordered set
subset F of a partially ordered set (P, ≤) is a filter or dual ideal if the following are satisfied: Downward directedness Every finite subset of F has a
Filter_(mathematics)
Compiler optimization technique
sometimes pronounced as pogo), also known as profile-directed feedback (PDF) or feedback-directed optimization (FDO), is the compiler optimization technique
Profile-guided_optimization
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
Reflexive and transitive binary relation
the same way, reachability of directed acyclic graphs, directed graphs with no cycles, gives rise to partially ordered sets (preorders satisfying an additional
Preorder
Physical models of filtering under forces such as gravity
equilibrium. One of the simplest realizations of DP is bond directed percolation. This model is a directed variant of ordinary (isotropic) percolation and can
Directed_percolation
Social media platform owned by Meta
other users' feeds, and geotag images with the name of a location. Users can set their account as "private", thereby requiring that they approve any new follower
1959 film by Gene Fowler Jr.
The Rebel Set is a 1959 American crime drama film in black and white directed by Gene Fowler Jr. It was later featured and riffed on Mystery Science Theater
The_Rebel_Set
Technique in molecular biology
Site-directed mutagenesis is a molecular biology method that is used to make specific and intentional mutations to a particular DNA sequence, such as a
Site-directed_mutagenesis
Use of filters to describe and characterize all basic topological notions and results
B.} This property can be characterized in terms of directedness, which explains the word "directed": A binary relation ⪯ {\displaystyle \,\preceq \,}
Filters_in_topology
Class of mathematical orderings
generalization Ordinal number Well-founded set Well partial order Prewellordering Directed set Manolios P, Vroon D. Algorithms for Ordinal Arithmetic. International
Well-order
2006 American film
The TV Set is a 2006 American comedy-drama film written and directed by Jake Kasdan and starring David Duchovny, Sigourney Weaver, Ioan Gruffudd, and
The_TV_Set
Directed individual study (DIS) is a college, university or college preparatory school level class providing a more in-depth and comprehensive study of
Directed_individual_study
Device for receiving and viewing video content
A television set or television receiver (more commonly called TV, TV set, television, telly, or tele) is an electronic device for viewing and hearing
Television_set
Topics referred to by the same term
Directed acyclic word graph (DAWG) may refer to two related, but distinct, automata constructions in computer science: Deterministic acyclic finite state
Directed_acyclic_word_graph
2026 American drama film
The Sun Never Sets is a 2026 American drama film written, directed, produced, and edited by Joe Swanberg. It stars Dakota Fanning, Jake Johnson, Cory Michael
The Sun Never Sets (2026 film)
The_Sun_Never_Sets_(2026_film)
American filmmaker (born 1968)
Schwarzenegger; the film was released on March 28, 2014. He wrote and directed the World War II-set action film, Fury, starring Brad Pitt, Shia LaBeouf and Logan
David_Ayer
basis. In a sober space, the intersection of a downward-directed set of compact saturated sets is again compact and saturated. This is a sober variant
Saturated set (intersection of open sets)
Saturated_set_(intersection_of_open_sets)
Instruction set extensions accelerating AES operations
An Advanced Encryption Standard instruction set (AES instruction set) is a set of instructions that are specifically designed to perform AES encryption
AES_instruction_set
Order theory
centered set has a lower bound. An upwards centered set can also be called a consistent set. Any directed set is necessarily centered, and any centered set is
Centered_set
Generalization of the concept of subsequence to the case of nets
s_{\bullet }=\left(s_{i}\right)_{i\in I}} are nets in a set X {\displaystyle X} from directed sets A {\displaystyle A} and I , {\displaystyle I,} respectively
Subnet_(mathematics)
Cofinal and coinitial set, sometimes also called dense Meet-dense set and join-dense set Linked set (upwards and downwards) Directed set (upwards and downwards)
List_of_order_theory_topics
Construction in category theory
Let ( I , ≤ ) {\displaystyle (I,\leq )} be a directed poset (not all authors require I to be directed). Let (Ai)i∈I be a family of groups and suppose
Inverse_limit
Bioengineering methodology
tissue organogenesis involve a limited set of developmental signaling pathways. It is thus possible to direct cell fate by controlling cell decisions
Directed_differentiation
English rock band
early morning they played three sets of 90 minutes each. During this period, spurred by the need to extend their sets to minimise song repetition, the
Pink_Floyd
Axiomatic set theories based on the principles of mathematical constructivism
Axiomatic constructive set theory is an approach to mathematical constructivism following the program of axiomatic set theory. The same first-order language
Constructive_set_theory
Model of communicating discounts and other sales offers
marketing strategies used today, including direct marketing. The Welsh entrepreneur Pryce Pryce-Jones set up the first modern mail order in 1861. Starting
Direct_marketing
Mathematical construction used in homotopy theory
several arrows, and directed loops that connect a vertex to itself are also allowed. Unlike directed multigraphs, simplicial sets may also contain higher
Simplicial_set
American actor (born 1959)
he directed the premiere of Joe Sutton's Complicit, with Richard Dreyfuss, David Suchet and Elizabeth McGovern. Later that year, Trevor Nunn directed Spacey
Kevin_Spacey
1964 film by Jack Arnold
The Lively Set is a 1964 American color action drama sport film directed by Jack Arnold and starring James Darren, Pamela Tiffin, Doug McClure and Joanie
The_Lively_Set
2024 American documentary television series
Quiet on Set: The Dark Side of Kids TV is a 2024 American five-part documentary television series that details the toxic behind-the-scenes world of children's
Quiet on Set: The Dark Side of Kids TV
Quiet_on_Set:_The_Dark_Side_of_Kids_TV
Extreme element of a preorder
within the set. If a directed set has a maximal element, it is also its greatest element, and hence its only maximal element. For a directed set without
Maximal_and_minimal_elements
Mathematical concept regarding posets in (partial) order theory
elements of a downwards linked set has a lower bound. Every centered set is linked, which includes, in particular, every directed set. Fremlin, David H. (1984)
Linked_set
Broadcasting of television using artificial satellites
the desired television program for viewing on a television set. Receivers can be external set-top boxes, or a built-in television tuner. Satellite television
Satellite_television
partially or wholly set in or shot in Miami. The listed shows span a wide variety of genres and range from shows almost entirely shot and set in the city (e
List of films and television shows set in Miami
List_of_films_and_television_shows_set_in_Miami
American actor and filmmaker (born 1956)
and directed. The film went on to become the highest-grossing rated R film at the time with $370,782,930 in U.S. box office sales. Gibson directed a few
Mel_Gibson
taking A to be the directed set of natural numbers with the usual ordering. Normal A space is normal if any two disjoint closed sets have disjoint neighbourhoods
Glossary_of_general_topology
Microsoft API
sticks and racing-wheel controller sets, already map triggers and pedals independently. In addition, many DirectInput devices also have vibration effects
DirectInput
categories generalize the notion of directed set understood as a category (hence called a directed category; while some use directed category as a synonym for a
Filtered_category
Yoshiwara (1937) — directed by Max Ophüls Bombardier (1943) — directed by Richard Wallace, starring Pat O'Brien Jack London (1943) — directed by Alfred Santell
List of foreign films and TV series set in Japan
List_of_foreign_films_and_TV_series_set_in_Japan
Family of RISC-based computer architectures
is a family of RISC instruction set architectures for computer processors. Arm Holdings develops the instruction set architecture and licenses them to
Arm_architecture_family
Direct limit of a direct system of groups
so the index set is indeed directed. With the inclusion morphisms f i , j : H i → H j {\displaystyle f_{i,j}:H_{i}\to H_{j}} , the direct limit is simply
Direct_limit_of_groups
Telephony service
Olayiide (2024-11-15). "What is Direct Inward Dialing & How To Set It Up?". PressOne Africa. Retrieved 2024-11-22. What Is Direct Inward Dialing (DID)? How
Direct_inward_dial
Glossary of terms used in branch of mathematics
a subset B of P such that every element x of P is the supremum of a directed set contained in {y in B | y<<x}. Continuous function. See Scott-continuous
Glossary_of_order_theory
Edges that hit all cycles in a graph
In graph theory and graph algorithms, a feedback arc set or feedback edge set in a directed graph is a subset of the edges of the graph that contains at
Feedback_arc_set
Any collection of sets, or subsets of a set
"family of sets" because if one instead uses "set of sets" then the subsequent use of "set" can be confusing as to whether it is the containing set or one
Family_of_sets
Topological vector space
as a direct system in the category C {\displaystyle {\mathcal {C}}} that is directed (or indexed) by I. Since the indexing set I is a directed set, the
LF-space
elements of a partially ordered set are those elements that cannot be subsumed by a supremum of any non-empty directed set that does not already contain
Compact_element
1993 single by N-Trance
1,200,000 units were sold and streamed. The music video for "Set You Free" was directed by prolific music video director Steve Price and shot in various
Set_You_Free_(N-Trance_song)
we have (X, ≤) is a directed complete partial order, i.e. every directed subset S of (X, ≤) has a supremum sup S, for every directed subset S of (X, ≤)
Specialization_preorder
Unicameral legislature of the Indian state of Tamil Nadu
the Madras Legislative Council, which was set up as a non-representative advisory body in 1861. In 1919, direct elections were introduced with the introduction
Tamil Nadu Legislative Assembly
Tamil_Nadu_Legislative_Assembly
is a list of films and TV series set in Palm Springs, California. It covers topical settings and storyline subjects set in Palm Springs and other nearby
List of films and television series set in Palm Springs, California
List_of_films_and_television_series_set_in_Palm_Springs,_California
1971 film by Peter Bogdanovich
Directed by John Ford is a documentary film directed by Peter Bogdanovich. Originally released in 1971, it covers the life and career of film director
Directed_by_John_Ford
Nonempty, upper-bounded, downward-closed subset
is in I (I is a lower set), for every x, y in I, there is some element z in I, such that x ≤ z and y ≤ z (I is a directed set). While this is the most
Ideal_(order_theory)
1962 song by James Ray
"Got My Mind Set on You" (also written as "(Got My Mind) Set on You") is a song written and composed by Rudy Clark and originally recorded by James Ray
Got_My_Mind_Set_on_You
Generalised alphabetical order
of ordered symbols or, more generally, of elements of a totally ordered set. There are several variants and generalizations of the lexicographical ordering
Lexicographic_order
Algebraic structure of set algebra
formalism for defining sets that can be measured. In calculus and analysis, for example, σ-algebras are used to define the concept of sets with area or volume
Σ-algebra
2016 Indian film
Direct Ishq (transl. Direct love) is a 2016 Indian action romantic comedy film, set in the city of Banaras. The film features Rajneesh Duggal, Nidhi Subbaiah
Direct_Ishq
Dye that adheres by non-ionic forces
obsolete. Substantive dyes are set in a slightly basic or neutral environment at temperatures close to boiling point. They are set by formation of aggregates
Substantive_dye
Vector space with a partial order
positive cone is generating if and only if X {\displaystyle X} is a directed set under ≤ . {\displaystyle \,\leq .} Given any pointed convex cone C {\displaystyle
Ordered_vector_space
2nd episode of the 3rd season of Louie
Jokes/Set Up", and that it would be written and directed by series creator and lead actor Louis C.K. This was C.K.'s 28th writing and directing credit
Telling_Jokes/Set_Up
Definition of continuity for functions between posets
is called Scott-open if it is an upper set and if it is inaccessible by directed joins, i.e. if all directed sets D with supremum in O have non-empty intersection
Scott_continuity
1984 novel by Len Deighton
called Game, Set and Match, starring Ian Holm as Bernard Samson and Mel Martin as Fiona. It was adapted by John Howlett and directed by Ken Grieve and
Mexico_Set
tricks, these sets will often contain instructions for many more, elevating the number of tricks that can be advertised. Sets directed at adults, known
Magic_set
DIRECTED SET
DIRECTED SET
Girl/Female
Hindu, Indian, Marathi
Directed Towards Heart; Way to the Heart
Boy/Male
Indian
The guide, Director, Leader
Boy/Male
Indian
The guide, Director, Leader
Boy/Male
Tamil
One who directs, Guide
Boy/Male
Muslim
The guide, Director, Leader
Girl/Female
Hindu, Indian, Marathi
Directed; Fixed
Boy/Male
Indian, Sanskrit
Settled; Directed
Boy/Male
Tamil
Straight, Erected
Boy/Male
Tamil
Pratyaksh | பà¯à®°à®¤à¯à®¯à®•à¯à®·
Direct evidence
Pratyaksh | பà¯à®°à®¤à¯à®¯à®•à¯à®·
Boy/Male
Muslim/Islamic
Director guide
Girl/Female
Teutonic American German Latin
Directed.
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Telugu
Straight; Erected
Boy/Male
Muslim
The guide, Director, Leader
Boy/Male
Hindu
Direct evidence
Boy/Male
Muslim
The guide, Director, Leader
Boy/Male
Indian
The guide, Director, Leader
Girl/Female
American, British, English, French, Latin
Fields of Cottonwood; Ambitious; Goal Directed
Girl/Female
Tamil
Direct, Lead
Male
Egyptian
, chief, director.
Girl/Female
Hindu, Indian, Malayalam, Marathi, Telugu
Direct; Lead
DIRECTED SET
DIRECTED SET
Boy/Male
Native American
Reckless.
Girl/Female
Arabic, Muslim
Command; Glory; Honour; Power; Authority
Girl/Female
Indian, Sikh
Princess or Queen
Surname or Lastname
English
English : habitational name from places in Lancashire, West Yorkshire, and Derbyshire, earlier recorded as Melver, and named from ancient British words that are ancestors of Welsh moel ‘bare’ + bre ‘hill’.
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Telugu
Whose Fame is Like Sun
Girl/Female
Latin
From the Aegean sea.
Boy/Male
Arabic
Guide; Leader; Guide to Righteousness; Gift; A Chief; One who Guides
Surname or Lastname
English
English : topographic name from Middle English hauk, hauek ‘hawk’ + ley(e) ‘open country’, ‘grassland’, ‘field’, or a habitational name from Hawkesley Hall in King’s Norton, Worcestershire, named from the Old English personal name Heafoc or Old English heafoc ‘hawk’, ‘clearing’ + lēah ‘wood’, ‘clearing’.
Girl/Female
Hindu
A forest girl
Girl/Female
Hindu, Indian, Malayalam, Marathi, Tamil, Telugu
Light
DIRECTED SET
DIRECTED SET
DIRECTED SET
DIRECTED SET
DIRECTED SET
a.
Acting directly, as one part upon another, without the intervention of other working parts.
n.
One who, or that which, directs; one who regulates, guides, or orders; a manager or superintendent.
n.
A part of a machine or instrument which directs its motion or action.
a.
Directed; prescribed.
v. t.
To point out or show to (any one), as the direct or right course or way; to guide, as by pointing out the way; as, he directed me to the left-hand road.
a.
Straight; not crooked, oblique, or circuitous; leading by the short or shortest way to a point or end; as, a direct line; direct means.
adv.
In a straightforward way; without anything intervening; not by secondary, but by direct, means.
adv.
In a direct manner; in a straight line or course.
a.
Cut into several parts; divided into sections; as, a dissected map.
v. t.
To arrange in a direct or straight line, as against a mark, or towards a goal; to point; to aim; as, to direct an arrow or a piece of ordnance.
a.
In the line of descent; not collateral; as, a descendant in the direct line.
v. t.
To point out to with authority; to instruct as a superior; to order; as, he directed them to go.
a.
Not directed; aimless.
n.
One who directs; a director.
a.
Directed in a line toward the object aimed at; aimed directly toward the mark.
a.
Not directed; not guided; left without direction.
imp. & p. p.
of Direct
v. t.
To put a direction or address upon; to mark with the name and residence of the person to whom anything is sent; to superscribe; as, to direct a letter.
a.
Cast down; afflicted; low-spirited; sad; as, a dejected look or countenance.
a.
Cut deeply into many lobes or divisions; as, a dissected leaf.