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alternate case: subset

Separable space (2,090 words) [view diff] exact match in snippet view article find links to article

topological space is called separable if it contains a countable, dense subset; that is, there exists a sequence ( x n ) n = 1 ∞ {\displaystyle (x_{n})_{n=1}^{\infty

{\displaystyle X.} A c = X ∖ A {\displaystyle A^{c}=X\setminus A} is an open subset of ( X , τ ) {\displaystyle (X,\tau )} ; that is, A c ∈ τ . {\displaystyle

In topology and mathematics in general, the boundary of a subset S of a topological space X is the set of points in the closure of S not belonging to the

than the Notepad text editor by supporting rich text editing, but with a subset of the functionality of Microsoft Word. Microsoft removed WordPad in Windows

vector space (TVS) is a subset that is a closed absorbing disk; that is, a barrel is a convex, balanced, closed, and absorbing subset. Every barrel must contain

The image of f is a subset of Y, shown as the yellow oval in the accompanying diagram. Any function can be restricted to a subset of its domain. The restriction

In set theory in mathematics and formal logic, two sets are said to be disjoint sets if they have no element in common. Equivalently, two disjoint sets

containing a given subset of a Euclidean space, or equivalently as the set of all convex combinations of points in the subset. For a bounded subset of the plane

for NP-hard problems exist. A simple example of an NP-hard problem is the subset sum problem. Informally, if H is NP-hard, then it is at least as difficult

one). Thus S {\displaystyle S} is a balanced subset of X {\displaystyle X} if and only if it is balanced subset of every (equivalently, of some) vector space

In mathematics, a Borel set is any subset of a topological space that can be formed from its open sets (or, equivalently, from closed sets) through the

exist compact subsets that are not closed. However, the closure of a compact subset of a non-Hausdorff TVS is again compact (so compact subsets are relatively

Subset WSDL (SWSDL) is a WSDL with the subset operations of an original WSDL. A developer can use SWSDL to access Subset Service, thus handle subset of

The 3-subset meet-in-the-middle (hereafter shortened MITM) attack is a variant of the generic meet-in-the-middle attack, which is used in cryptology for

functions with compact support that are defined on some given non-empty open subset U ⊆ R n {\displaystyle U\subseteq \mathbb {R} ^{n}} . (Bump functions are

and from H {\displaystyle H} , such that T ( W ) ⊂ W {\displaystyle T(W)\subset W} . A negative answer to the problem is closely related to properties of

receiver) is the starting point. A developer using a Subset WSDL (SWSDL) (i.e. a WSDL with the subset operation in the original WSDL) can perform Web service

The subset sum problem (SSP) is a decision problem in computer science. In its most general formulation, there is a multiset S {\displaystyle S} of integers

list was published in 1955. The Fortune 500 is more commonly used than its subset Fortune 100 or superset Fortune 1000. The Fortune 500, created by Edgar

{\displaystyle T} mapped to 1). Typically, the range of a random variable is a subset of the real numbers. Informally, randomness typically represents some fundamental

( 1 − t ) y . {\displaystyle p=tx+(1-t)y.} If K {\displaystyle K} is a subset of X {\displaystyle X} and p ∈ K , {\displaystyle p\in K,} then p {\displaystyle

less expressive subset of CL may be translated to a more expressive version of CL, but the reverse translation is only defined on a subset of the larger

ASCII character subset used for Internet hostnames. Using Punycode, host names containing Unicode characters are transcoded to a subset of ASCII consisting

upper bound on the operator norms. Fix any compact K ⊂ X {\displaystyle K\subset X} . Then for any ϵ > 0 {\displaystyle \epsilon >0} , finitely cover (use

vector space is sometimes shortened to locally convex space or LCTVS. A subset C {\displaystyle C} in X {\displaystyle X} is called Convex if for all x

property that each point has a neighborhood that is homeomorphic to an open subset of n {\displaystyle n} -dimensional Euclidean space. One-dimensional manifolds

Hawaiian Braille is the braille alphabet of the Hawaiian language. It is a subset of the basic braille alphabet, supplemented by an additional letter ⠸ to

establishing a relationship with God. Technically speaking, liturgy forms a subset of ritual. The word liturgy, sometimes equated in English as "service",

common proof identifies the unit ball with the weak-* topology as a closed subset of a product of compact sets with the product topology. As a consequence

combination to an integral taken over the set E of extreme points. Here C is a subset of a real vector space V, and the main thrust of the theory is to treat

In machine learning, feature selection is the process of selecting a subset of relevant features (variables, predictors) for use in model construction

vectors span a plane. To express that a vector space V is a linear span of a subset S, one commonly uses one of the following phrases: S spans V; S is a spanning

larger sets defined as part of the ISO SGML standard effort. XML uses a subset of SGML DTD. As of 2009[update], newer XML namespace-aware schema languages

S ) = 0. {\displaystyle \mu (S)=0.} Every finite or countably infinite subset of the real numbers ⁠ R {\displaystyle \mathbb {R} } ⁠ is a null set. For

In mathematical order theory, an ideal is a special subset of a partially ordered set (poset). Although this term historically was derived from the notion

Complete subsets Every complete subset of a TVS is sequentially complete. A complete subset of a Hausdorff TVS X {\displaystyle X} is a closed subset of X

numbers and a fixed subset size, the first element of the moving average is obtained by taking the average of the initial fixed subset of the number series

Globish is a name for a subset of the English language formalized in 2004 by Jean-Paul Nerrière. It uses a subset of standard English grammar and a list

is part of the Needle Mountains which are a subset of the San Juan Mountains, which in turn is a subset of the Rocky Mountains. Precipitation runoff

Samoan Braille is the braille alphabet of the Samoan language. It is a subset of the basic braille alphabet, supplemented by an additional letter ⠰ to

and the same player twice, hence the name. A progressive squeezes is a subset of triple squeezes that, depending both on entries and on positional factors

isolated point is an element of some subset of points which has some neighborhood containing no other points of the subset. Points, considered within the framework

the late twentieth and early twenty-first centuries, created a need for a subset of policy studies that focuses on global governance, especially as it relates

Navajo Braille is the braille alphabet of the Navajo language. It uses a subset of the letters of Unified English Braille, along with the punctuation and

General-Purpose Subset" ("Subset-G") standard was issued by ANSI in 1981 and a revision published in 1987. The General Purpose subset was widely adopted

In Norse mythology (a subset of Germanic mythology), Elli (Old Norse: [ˈelːe], "old age") is a personification of old age who, in the Prose Edda book Gylfaginning

INIS is a 7-bit subset of ASCII developed by the International Nuclear Information System (INIS). It has MIB 51 and is also known as iso-ir-49 and csISO49INIS

total mass is 2. There is a natural question here: if E is an arbitrary subset of the real line, does it have a 'mass' or 'total length'? As an example

{\displaystyle X} and Y {\displaystyle Y} that maps bounded subsets of X {\displaystyle X} to bounded subsets of Y . {\displaystyle Y.} If X {\displaystyle X} and

Greek, or Cyrillic script. Other standardized subsets of Unicode include the Multilingual European Subsets: MES-1 (Latin scripts only; 335 characters),

FTL: Faster Than Light is a roguelike game created by indie developer Subset Games, which was released for Windows, MacOS, and Linux in September 2012

radial kernel of a subset of a vector space is a refinement of the concept of the interior. Assume that A {\displaystyle A} is a subset of a vector space

1} defines the subset of prime numbers, while the formula ∃ y ( 2 × y = x ) {\displaystyle \exists y(2\times y=x)} defines the subset of even numbers

Zermelo–Fraenkel set theory, the axiom of choice entails that non-measurable subsets of R {\displaystyle \mathbb {R} } exist. The notion of a non-measurable

∘ {\displaystyle A^{\circ }} is a special convex set associated to any subset A {\displaystyle A} of a vector space X , {\displaystyle X,} lying in the

statistic and decide policy based upon it. Klemens defines a statistic to be subset stable iff R {\displaystyle R} is bounded between min ( r i ) {\displaystyle

C_{r}(x):=\{z\in X\mid \|z-x\|\leq r\}.} Any such ball is a convex and bounded subset of X , {\displaystyle X,} but a compact ball/neighborhood exists if and

example, the chronozone Pliocene is a subset of the chronozone Neogene, and the chronozone Pleistocene is a subset of the chronozone Quaternary. Body form

Dirac (and Dirac Pro, a subset standardised as SMPTE VC-2) is an open and royalty-free video compression format, specification and software video codec

later Emperor Napoleon Bonaparte. They include the Coalition Wars as a subset: seven wars waged by various military alliances of great European powers

space (TVS) over a topological field K . {\displaystyle \mathbb {K} .} A subset B {\displaystyle B} of X {\displaystyle X} is called von Neumann bounded

mathematics, a nonempty subset S of a group G is said to be symmetric if it contains the inverses of all of its elements. In set notation a subset S {\displaystyle

In mathematics, a point x is called an isolated point of a subset S (in a topological space X) if x is an element of S and there exists a neighborhood

Client (NaCl) is a discontinued sandboxing technology for running either a subset of Intel x86, ARM, or MIPS native code, or a portable executable, in a sandbox

without requiring any network access". The ISO entities subsets are old (documented) character subsets, which are given SGML character entity names in ISO

added functions beyond the design's declared subset level. A design must be compliant at its declared subset level to make use of the Foundation's protection

(or relatively compact subset, or precompact subset) Y of a topological space X is a subset whose closure is compact. Every subset of a compact topological

with respect to) an index subset if it alternates sign (+/−) when any two indices of the subset are interchanged. The index subset must generally either be

knapsack problem is often used to refer specifically to the subset sum problem. The subset sum problem is one of Karp's 21 NP-complete problems. Knapsack

{\displaystyle A} is a clopen subset of Q . {\displaystyle \mathbb {Q} .} ( A {\displaystyle A} is not a clopen subset of the real line R {\displaystyle

X) of a partially ordered set ( X , ≤ ) {\displaystyle (X,\leq )} is a subset S ⊆ X {\displaystyle S\subseteq X} with the following property: if s is

knapsack problem is often used to refer specifically to the subset sum problem. The subset sum problem is one of Karp's 21 NP-complete problems. Knapsack

politically, but is not part of the Fennoscandian Peninsula), which is a subset of the Nordic countries. Europe portal Geography portal Wikimedia Commons

Index Medicus (IM) is a curated subset of MEDLINE, which is a bibliographic database of life science and biomedical science information, principally scientific

June 3, 1992". The TIFF/EP standard is based on a subset of the Adobe TIFF standard, and a subset of the JEITA Exif standard, with some differences and

X) of a partially ordered set ( X , ≤ ) {\displaystyle (X,\leq )} is a subset S ⊆ X {\displaystyle S\subseteq X} with the following property: if s is

(or relatively compact subset, or precompact subset) Y of a topological space X is a subset whose closure is compact. Every subset of a compact topological

{\displaystyle (x,y,z)} where f ( x , y ) = z {\displaystyle f(x,y)=z} . This is a subset of three-dimensional space; for a continuous real-valued function of two

compatible with the standard Macintosh Mac OS Roman encoding for the shared subset of characters, the two should not be confused. Each character is shown with

= M {\displaystyle \emptyset =M_{-1}\subset M_{0}\subset M_{1}\subset M_{2}\subset \dots \subset M_{m-1}\subset M_{m}=M} where each M i {\displaystyle

curve, and the two-dimensional Hausdorff measure of a Lebesgue-measurable subset of R 2 {\displaystyle \mathbb {R} ^{2}} is proportional to the area of the

geometry. In analysis, the area of a subset of the plane is defined using Lebesgue measure, though not every subset is measurable if one supposes the axiom

CVC, the final consonant is written with a subscript character. A basic subset of the script, the 46-character abidiha, is mixed alphabetic/syllabic; the

infections), or the psychosomatic illnesses and mental disorders expressing a subset of symptoms but not the entire set an explicit medical diagnosis requires

organ and synthesizer. Acoustic string instrumentations had long been a subset of popular music, particularly in folk. It stood in contrast to various

{\displaystyle \sigma } -finite subset is a measurable subset which is the union of a countable number of measurable subsets of finite measure. The measure

In graph theory, a clique (/ˈkliːk/ or /ˈklɪk/) is a subset of vertices of an undirected graph such that every two distinct vertices in the clique are

structure/access pattern specific to data warehouse environments. The data mart is a subset of the data warehouse that focuses on a specific business line, department

Drilling engineering is a subset of petroleum engineering. Drilling engineers design and implement procedures to drill wells as safely and economically

The Marcy Group, or Marcy Massif is a subset of the Great Range of the Adirondack Mountains, near Keene Valley, New York, United States. It consists of

earlier form LAM, which did not specify galleries (due to being seen as a subset of museums, or else potentially confused with commercial establishments

relation over two sets X  and  Y {\displaystyle X{\text{ and }}Y} is a subset of their Cartesian product X × Y . {\displaystyle X\times Y.} Boolean algebra

squeeze" (also termed a "repeating squeeze"), but progressive squeezes are a subset of triple squeezes. A progressive squeeze is a triple squeeze that, depending

this amounts to the usual geometric notion of a lattice as a periodic subset of points, and both the algebraic structure of lattices and the geometry

"/quotedURI/" [ <!-- internal subset declarations --> ]> or <!DOCTYPE root-element SYSTEM "/quotedURI/" [ <!-- internal subset declarations --> ]> The opening

formally The North American Braille ASCII Code, also known as SimBraille) is a subset of the ASCII character set which uses 64 of the printable ASCII characters

A minimum spanning tree (MST) or minimum weight spanning tree is a subset of the edges of a connected, edge-weighted undirected graph that connects all

reaction where two different fragments are joined. Cross-couplings are a subset of the more general coupling reactions. Often cross-coupling reactions require

: U → R , {\displaystyle f\colon U\to \mathbb {R} ,} where U is an open subset of ⁠ R n , {\displaystyle \mathbb {R} ^{n},} ⁠ that satisfies Laplace's

called a theorem of the theory. In many deductive systems there is usually a subset Σ ⊆ T {\displaystyle \Sigma \subseteq T} that is called "the set of axioms"

flag to be a nested collection V 1 ⊂ ⋯ ⊂ V k {\textstyle V_{1}\subset \cdots \subset V_{k}} of subspaces of C n {\textstyle \mathbb {C} ^{n}} such that

reaction where two different fragments are joined. Cross-couplings are a subset of the more general coupling reactions. Often cross-coupling reactions require

what qualities make some members of a given species members of a nameable subset. Another point of view is that a breed is consistent enough in type to be

In mathematics, a subset A ⊆ X {\displaystyle A\subseteq X} of a linear space X {\displaystyle X} is radial at a given point a 0 ∈ A {\displaystyle a_{0}\in

topologies in which the bridges/switches are directly linked to only a small subset of other bridges/switches, and the links between these infrastructure neighbours

between topological spaces has a closed graph if its graph is a closed subset of the product space X × Y. A related property is open graph. This property

magnitude to the measurable subsets of a measurable space. Examples of a measure include area and volume, where the subsets are sets of points; or the

for a subset of this list see comparison of data structures. Boolean, true or false. Character Floating-point representation of a finite subset of the

continuous convex function on any open convex subset U of X is Fréchet differentiable at the points of a dense Gδ-subset of U. X is Asplund if, and only if, its

specifically, Loricata includes Crocodylomorpha (the persistent archosaur subset which crocodilians belong to) and most "rauisuchians", a paraphyletic grade

neighborhood of the origin in every topological vector space is an absorbing subset. Notation for scalars Suppose that X {\displaystyle X} is a vector space

1) and the first crewed spacecraft (Vostok) in human history. It was a subset of the R-7 family of rockets. On March 18, 1980, a Vostok-2M rocket exploded

An infobox is a digital or physical table used to collect and present a subset of information about its subject, such as a document. It is a structured

English Australians are a subset of Anglo-Celtic Australians, who are themselves a subset of European Australians. Other subsets of Anglo-Celtic Australians

also supports interactive media, including animation and 3D. PDF/E is a subset of PDF, designed to be an open and neutral exchange format for engineering

an orbit of the action. A fundamental domain or fundamental region is a subset of the space which contains exactly one point from each of these orbits

scalability," according to ISO/IEC 22123-2. Function as a Service is a subset of the serverless computing ecosystem. The "Grain of Sand Anti-pattern"

Systems ecology is an interdisciplinary field of ecology, a subset of Earth system science, that takes a holistic approach to the study of ecological systems

with this broader meaning, while sonorant is restricted to the consonantal subset—that is, nasals and liquids only, not vocoids (vowels and semivowels). Whereas

definition is a vector space over the reals) and if S {\displaystyle S} is a subset of X {\displaystyle X} then an element b ∈ X {\displaystyle b\in X} is an

to be quasi-complete or boundedly complete if every closed and bounded subset is complete. This concept is of considerable importance for non-metrizable

classical Dirichlet problem. In probability theory, the harmonic measure of a subset of the boundary of a bounded domain in Euclidean space R n {\displaystyle

include graphs of multivalued functions such as √z or log(z), e.g. the subset of pairs (z, w) ∈ C2 with w = log(z). Every Riemann surface is a surface:

case, which is one of the concepts of functional analysis. One may call subsets of a topological vector space weakly closed (respectively, weakly compact

Increased expression of this gene is associated with a distinct biologic subset of acute myeloid leukemia (AML). Homeobox GRCh38: Ensembl release 89: ENSG00000120093

pitches. Even in ensembles that have all seven notes, many pieces only use a subset of five notes, sometimes the additional 4th tone is also used in a piece

Colorado, United States. It is part of the San Juan Mountains range which is a subset of the Rocky Mountains, and is west of the Continental Divide. Engineer

{1}{m}}\#\left\{\lambda _{j}\in A\right\},\quad A\subset \mathbb {R} .} counting the number of eigenvalues in the subset A {\displaystyle A} included in R {\displaystyle

mathematical field of complex analysis, a meromorphic function on an open subset D of the complex plane is a function that is holomorphic on all of D except

to a form of general analysis, whereas the concept of the closure of a subset originated in the work of Frigyes Riesz in connection with topological spaces

incandescent lamps). Like HMI, HQI lamps are a subset (or type) of metal halide lamps, which in turn are a subset of high-intensity discharge (HID) lamps. They

and the real numbers have the least upper bound property: Every nonempty subset of R {\displaystyle \mathbb {R} } that has an upper bound has a least upper

of subspaces V 1 ⊂ V 2 ⊂ ⋯ ⊂ V n = V {\displaystyle V_{1}\subset V_{2}\subset \cdots \subset V_{n}=V} of dimension d i m ( V i ) = i {\displaystyle \mathrm

closed and bounded subset is compact. A topological vector space (TVS) has the Heine–Borel property if every closed and bounded subset is compact. A Montel

normally carried out by prefectural governments. Those functions were a subset of the functions that were delegated to core cities. The category of special

The Pirus (/ˈpaɪruː/ ) are a subset of the larger Bloods gang alliance, an organized crime group in the United States. The name "Piru" is derived from

constitute an enteric endocrine system as a subset of the endocrine system just as the enteric nervous system is a subset of the nervous system. In a sense they

is called tame if it is homeomorphic to a compact manifold with a closed subset of the boundary removed. The Whitehead manifold is an example of a contractible

business model has been used in the software industry since the 1980s. A subset of this model used by the video game industry is called free-to-play. The

person diagnosed with a personality disorder must initially fit a set or subset of criteria from a predefined list, and remission in this context is defined

constitute an enteric endocrine system as a subset of the endocrine system just as the enteric nervous system is a subset of the nervous system. In a sense they

dietlibc is a C standard library subset released under the GNU General Public License Version 2, and proprietary licenses are also available. It was developed

make maps, map making is actually the field of study of cartography, a subset of geography. Geographers do not study only the details of the natural environment

describes the legal rights, duties and obligations of a person or entity, or a subset of those rights and obligations. The term may be used to describe a person's

the set-theoretic inverse is either unbounded or defined on a non-dense subset. Here, I {\displaystyle I} is the identity operator. By the closed graph

element. If S {\displaystyle S} is any subset of G {\displaystyle G} and U {\displaystyle U} is an open subset of G , {\displaystyle G,} then S U := {

alternately pick subsets of a topological space X. In the nth round, player I plays a subset In of X, and player II responds with a subset Jn. There is a

row is identified by one or more values appearing in a particular column subset. A specific choice of columns which uniquely identify rows is called the

WordBASIC was a subset of Microsoft QuickBASIC customized for word-processing in Microsoft Word. It was replaced by Visual Basic for Applications (VBA)

underrepresented group describes a subset of a population that holds a smaller percentage within a significant subgroup than the subset holds in the general population

data can be written in Braille. The 8-dot code is designed that its 6-dot subset is identical to the 6-dot code. The remainder are assigned by the following

)} be a positive measure space. A set Φ ⊂ L 1 ( μ ) {\displaystyle \Phi \subset L^{1}(\mu )} is called uniformly integrable if sup f ∈ Φ ‖ f ‖ L 1 ( μ )

Uncompahgre National Forest. It is part of the Sneffels Range which is a subset of the San Juan Mountains, which in turn is part of the Rocky Mountains

National Forest. It is part of the San Juan Mountains range which is a subset of the Rocky Mountains of North America, and is set nine miles west of the

(INIS). It is an 8-bit extension of the 7-bit INIS character set (itself a subset of ASCII), adding a G1 set, and has MIB 52. It is also known as iso-ir-50

evolution function of the dynamical system. It can be understood as the subset of phase space covered by the trajectory of the dynamical system under a

A-League Women. The WNPL consists of the highest level state league in a subset of the state-based federations within Australia, and is overseen by Football

allow for the client-side archiving of online chat conversations, while a subset of chat or IM clients (i.e., Google Talk and Yahoo! Messenger 11 Beta) allow

A niche market is the subset of the market on which a product is appealed to a small group of consumers. The market niche defines the product features

finite subset J ⊂ T {\displaystyle J\subset T} , define Ω J := ∏ t ∈ J Ω t {\displaystyle \Omega _{J}:=\prod _{t\in J}\Omega _{t}} . For subsets I ⊂ J

theory of computation and automata theory, the powerset construction or subset construction is a standard method for converting a nondeterministic finite

tetrahedron (n = 3), etc.), defined by n + 1 vertices, has a face for each subset of the vertices, from the empty set up through the set of all vertices.

X {\displaystyle X} has only one element. In complex analysis: an open subset X ⊆ C {\displaystyle X\subseteq \mathbb {C} } is simply connected if and

bounded subsets of their biduals (that is, the strong dual space of their strong dual space) are contained in the weak-* closure of some bounded subset of

2006, the game has had eighteen expansions, one "virtual" set, several "Subsets", and many promotional cards, or "Promos". A brand new game, the Dragon

choice, force play). A very similar baseball statistic, at bats, counts a subset of plate appearances that end under certain circumstances. At bats - rather

National Forest. It is part of the San Juan Mountains range which is a subset of the Rocky Mountains of North America. Precipitation runoff from the mountain

as subsets of loose connective tissue. However, they are no longer considered subsets of loose connective tissue. Loose connective tissue is a subset of

Lotion play is a subset of the better known wet-and-messy fetish (WAM), which typically involves participants using food (such as pudding or whipped cream)

the 1970s. They reside mainly in the Odessa neighborhood, and their main subset or "clique" is Halm Avenue Gangsters or "Halm Ave", which street name represents

The working class is a subset of employees who are compensated with wage or salary-based contracts, whose exact membership varies from definition to definition

research are the similarity of the terms and also that Market Research is a subset of Marketing Research. Further confusion exists because of major companies

automobile manufacturers with articles on Wikipedia by country. It is a subset of the list of automobile manufacturers for manufacturers based in African

needed. A large subset of VHDL cannot be translated into hardware. This subset is known as the non-synthesizable or the simulation-only subset of VHDL and

usually clear and their meanings consistent. Agglutinative languages are a subset of synthetic languages. Within this category, they are distinguished from

theory, an outer measure or exterior measure is a function defined on all subsets of a given set with values in the extended real numbers satisfying some

FreeBSD project, and the DriverKit was replaced with new API on a restricted subset of C++ (based on Embedded C++) named IOKit. By keeping the BSD kernel into

are backronymed puns on "MUD" — this positions MU* as actually being a subset of MUD. Bartle, Richard (2003). Designing Virtual Worlds. New Riders. p

needed. A large subset of VHDL cannot be translated into hardware. This subset is known as the non-synthesizable or the simulation-only subset of VHDL and

versions of Write only work with Write Document (.wri) files, which are a subset of the Rich Text Format (RTF). After Windows 3.0, Write became capable of

Prescott revision of their Pentium 4 CPU. In April 2005, AMD introduced a subset of SSE3 in revision E (Venice and San Diego) of their Athlon 64 CPUs. The

Anthrozoology, also known as human–animal studies (HAS), is the subset of ethnobiology that deals with interactions between humans and other animals. It

being a symmetric space. There are many ways to construct it as an open subset of R n {\displaystyle \mathbb {R} ^{n}} with an explicitly written Riemannian

Uncompahgre National Forest. It is part of the Sneffels Range which is a subset of the San Juan Mountains, which in turn is part of the Rocky Mountains

Banach space. balanced A subset S of a vector space over real or complex numbers is balanced if λ S ⊂ S {\displaystyle \lambda S\subset S} for every scalar

curve X is a complete smooth algebraic curve which contains X as an open subset. Smooth completions exist and are unique over a perfect field. An affine

produce information about some chosen population. In statistical inference, a subset of the population (a statistical sample) is chosen to represent the population

L 2 ( R ) {\displaystyle \{0\}\subset \dots \subset V_{1}\subset V_{0}\subset V_{-1}\subset V_{-2}\subset \dots \subset L^{2}(\mathbb {R} )} forms a multiresolution

credit rating agency's analysts. Credit reporting (or credit score) is a subset of credit rating. It is a numeric evaluation of an individual's credit worthiness

complementary subsets, performing the analysis on one subset (called the training set), and validating the analysis on the other subset (called the validation

The OutLaw Gangster Disciple Nation is a subset of the Gangster Disciples street gang. It was formed in the Chicago Housing Authority's Cabrini-Green public

UML: A Foundation for Model-Driven Architecture". The language "combines a subset of the UML (Unified Modeling Language) graphical notation with executable

Nonadaptive radiations are a subset of evolutionary radiations (or species flocks) that are characterized by diversification that is not driven by resource

coordinate ring of regular algebraic functions defined on it (or on its subsets), and each subvariety corresponds to the ideal of functions which vanish

was the first application of modern computers in science, and is now a subset of computational science. It is sometimes regarded as a subdiscipline (or

Uncompahgre National Forest. It is part of the Sneffels Range which is a subset of the San Juan Mountains, which in turn is part of the Rocky Mountains

A subset of absolute idealism, British idealism was a philosophical movement that was influential in Britain from the mid-nineteenth century to the early

virtual machine image, ready to run on a hypervisor; virtual appliances are a subset of the broader class of software appliances. Installation of a software

objects: > mtcars_subset_rows <- subset(mtcars, cyl == 4) > num_mtcars_subset <- nrow(mtcars_subset_rows) > print(num_mtcars_subset) [1] 11 While the

implies that all bosons have an integer-valued spin. Scalar bosons are the subset of bosons with zero-valued spin. The name scalar boson arises from quantum

single row of bars, tuned to the distinctive pelog or slendro scales, or a subset of them. The Western glockenspiel and vibraphone are also metallophones:

Group 11 at its 130th meeting. The standard consists of a royalty-free subset and individually switchable enhancements. The publicly available requirements

1 ⊂ V 2 ⋯ ⊂ V n = V ) , {\displaystyle {\mathcal {V}}=(V_{1}\subset V_{2}\cdots \subset V_{n}=V),} where V i = span { e 1 , … , e i } , i = 1 , … n .

sexual situations. Animated cartoon pornography or erotic animation, is a subset of the larger field of adult animation, not all of which is sexually explicit

{\mathcal {U}}=\{U_{i}\}_{i=1}^{\infty }} of open subsets of T {\displaystyle T} such that any open subset of T {\displaystyle T} can be written as a union

lighter keyboard. Like the VT100, the VT200 series implemented a large subset of ANSI X3.64. Among its major upgrades was a number of international character

In the mathematical field of descriptive set theory, a subset of a Polish space X {\displaystyle X} is an analytic set if it is a continuous image of a

Uncompahgre National Forest. It is part of the San Juan Mountains which are a subset of the Rocky Mountains, and is situated west of the Continental Divide.

N ′ ) {\displaystyle (P',N')} of Σ {\displaystyle \Sigma } -measurable subsets of X {\displaystyle X} fulfilling the three conditions above, the symmetric

The Kerala Brethren are a subset of the Open Brethren movement. In the South Indian State of Kerala, four Syrian Christian (Nasrani) men who came from

license for distribution and use. SysML is defined as an extension of a subset of the Unified Modeling Language (UML) using UML's profile mechanism. The

separate article for each. A multivalued function of sets f : X → Y is a subset Γ f   ⊆   X × Y . {\displaystyle \Gamma _{f}\ \subseteq \ X\times Y.} Write

O\subset O\subset U\subset \operatorname {Sp} \subset \operatorname {Sp} \times \operatorname {Sp} \subset \operatorname {Sp} \subset U\subset O\subset

automobile manufacturers with articles on Wikipedia by country. It is a subset of the list of automobile manufacturers for manufacturers based in Asian

{PSPACE\subseteq EXPTIME\subseteq EXPSPACE}}\\{\mathsf {NL\subset PSPACE\subset EXPSPACE}}\\{\mathsf {P\subset EXPTIME}}\end{array}}} From the third line, it follows

digital discrete sample of a continuous analog signal Sample (statistics), a subset of a population – complete data set Sample (surname) Samples (surname) Sample

000, and the first census to also include a "long form" (sent to only a subset of the households) with additional questions about socioeconomic and housing

algebraic numbers. In mathematical analysis, the rational numbers form a dense subset of the real numbers. The real numbers can be constructed from the rational

Lymphokines are a subset of cytokines that are produced by a type of immune cell known as a lymphocyte. They are protein mediators typically produced by

{\displaystyle {\mathcal {G}}} is a non-empty collection of subsets of T {\displaystyle T} directed by subset inclusion (i.e. for any G , H ∈ G {\displaystyle G

The Herschel 400 catalogue is a subset of William Herschel's original Catalogue of Nebulae and Clusters of Stars, selected by Brenda F. Guzman (Branchett)

ethnic group closely related to Finnish Karelians, who are considered a subset of Finns. This distinction historically arose from Karelia having been fought

K 0 ⊂ K 1 ⊂ ⋯ ⊂ K n = K {\displaystyle \mathbb {Q} =K_{0}\subset K_{1}\subset \dots \subset K_{n}=K} , being a sequence of nested fields in which the

damage. Traumatology is a branch of medicine. It is often considered a subset of surgery and in countries without the specialty of trauma surgery it is

7 June 2011; this is a subset of MathML suitable for CSS formatting. Another subset, Strict Content MathML, provides a subset of content MathML with a

descriptive set theory (DST) is the study of certain classes of "well-behaved" subsets of the real line and other Polish spaces. As well as being one of the primary

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 two elements have an

= M {\displaystyle \emptyset =M_{-1}\subset M_{0}\subset M_{1}\subset M_{2}\subset \dots \subset M_{m-1}\subset M_{m}=M} where each M i {\displaystyle

constructible universe. It is often encoded as a subset of the natural numbers (using Gödel numbering), or as a subset of the hereditarily finite sets, or as a

In mathematics, especially in order theory, the greatest element of a subset S {\displaystyle S} of a partially ordered set (poset) is an element of S

from X σ ′ {\displaystyle X_{\sigma }^{\prime }} ) for each equicontinuous subset A ⊆ X ′ {\displaystyle A\subseteq X^{\prime }} . B-completeness is related

In the United States, nutraceuticals are considered and regulated as a subset of foods (such as dietary supplements) by the Food and Drug Administration

exosuit is sometimes used, but typically this refers specifically to a subset of exoskeletons composed largely of soft materials. The term wearable robot

{\displaystyle T} is an open mapping (that is, if U ⊂ E {\displaystyle U\subset E} is an open subset, then T ( U ) {\displaystyle T(U)} is open). The proof here uses

inter-process communication mechanism created by Microsoft. It is based on a subset of Component Object Model (COM) that was intended for use by scripting languages

which are nice in some sense (e.g., smooth or flat). A basic example is a subset of a smooth manifold that admits a Whitney stratification. But there is

size of UTF-8 depending on how many of the characters are in the ASCII subset. The original ISO/IEC 10646 standard defines a 32-bit encoding form called

discuss and debate the idea of a consistent fictional canon within a given subset of Tolkien's writings. The terms have been used by reviewers, publishers

William M. Johnston, in some specific contexts, Buddhology may be viewed as a subset of Buddhist studies, with a focus on Buddhist hermeneutics, exegesis, ontology

their healthy state in response to destabilising influences. This is a subset of a notion of environmental resilience. Soil resistance, a related term

International Ideographs Core (IICore) is a subset of up to ten thousand CJK Unified Ideographs characters, which can be implemented on devices with limited

{\displaystyle \{0\}\subset \dots \subset V_{1}\subset V_{0}\subset V_{-1}\subset \dots \subset V_{-n}\subset V_{-(n+1)}\subset \dots \subset L^{2}(\mathbb {R}

of ω can be restricted to the fibre over an open subset of M. Indeed, if U is a connected open subset of M, then ω restricts to give a connection in the

standard topologies on R, Q, Z, and N are the order topologies. If Y is a subset of X, X a totally ordered set, then Y inherits a total order from X. The

mathematical analysis, the Haar measure assigns an "invariant volume" to subsets of locally compact topological groups, consequently defining an integral

{\displaystyle c_{\Lambda }(\eta ,\xi )>0} where Λ ⊂ G {\displaystyle \Lambda \subset G} is a finite set of sites and η , ξ ∈ Ω {\displaystyle \eta ,\xi \in \Omega

popular encoding served from China and territories (after UTF-8 and the subset GB 2312), with 1.9% of web servers serving a page that declares GBK. However

theory, a Fleming–Viot process (F–V process) is a member of a particular subset of probability measure-valued Markov processes on compact metric spaces

theorem states that for any Lebesgue measurable set A ⊂ R n {\displaystyle A\subset \mathbb {R} ^{n}} , the "density" of A is 0 or 1 at almost every point in

products and embedded devices like set-top boxes and PDAs. Profiles are subsets of configurations, of which there are currently two: the Connected Limited

key for encryption and a private key for decryption. It is based on the subset sum problem (a special case of the knapsack problem). The problem is as

the conditional probability distribution giving the probabilities for any subset of the variables conditional on particular values of the remaining variables

H ⊂ G ⊂ π 1 ( X ) {\displaystyle \displaystyle \{{\text{e}}\}\subset H\subset G\subset \pi _{1}(X)} one gets a sequence of coverings X ~ ⟶ X H ≅ H ∖ X

space homeomorphic to a complete metric space that has a countable dense subset. Polish spaces are so named because they were first extensively studied

variance. More generally, one can refer to the conditional distribution of a subset of a set of more than two variables; this conditional distribution is contingent

Unums (universal numbers) are a family of number formats and arithmetic for implementing real numbers on a computer, proposed by John L. Gustafson in 2015

are public companies listed on a stock market). The Fortune 500 is the subset of the list that is its 500 largest companies. The list draws the attention

Westminster. When the Act of Union 1800 abolished the Irish parliament, a subset of Irish peers sat as Irish representative peers in the House of Lords of

Handpan is a term for a group of musical instruments that are classified as a subset of the steelpan. Several handpan makers and brands have emerged in recent

constant map yields a retraction). If X is Hausdorff, then A must be a closed subset of X. If r : X → A {\textstyle r:X\to A} is a retraction, then the composition

around the world by political scientists and economists. They represent a subset of developing countries whose economic growth is much higher than that of

notation) is also given. The crystallography groups, 32 in total, are a subset with element orders 2, 3, 4 and 6. There are four involutional groups: no

Vector fields are often discussed on open subsets of Euclidean space, but also make sense on other subsets such as surfaces, where they associate an arrow

except X is empty. The closure of every non-empty subset of X is X. Put another way: every non-empty subset of X is dense, a property that characterizes trivial

also expressed on human mesothelial cell, monocyte and a dendritic cell subset. In humans, thrombomodulin is encoded by the THBD gene. The protein has

function, they imply a partitioning of the domain into the same number of subsets (subsets, indicated by color in the example, need not be connected). This is

ribosomal RNA (rRNA) during pre-rRNA processing. The box C/D element is a subset of the six short sequence elements found in all U3 snoRNAs, namely boxes

ECMAScript 5 strict mode code), HTML, and CSS input and rewrite it into a safe subset of HTML and CSS, plus a single JavaScript function with no free variables

\sum _{i=1}^{\infty }r_{i}=1} ). Suppose that S {\displaystyle S} is a subset of X {\displaystyle X} and ∑ i = 1 ∞ r i x i {\displaystyle \sum _{i=1}^{\infty

Morocco, with more than 99% of the population adhering to it. The largest subset of Muslims in Morocco are Maliki Sunni; other numerous groups include practitioners

{\mathcal {E}}\subset J^{k}(E,m)} ; a solution is defined to be an m {\displaystyle m} -dimensional submanifold S ⊂ E {\displaystyle S\subset {\mathcal {E}}}

banking is presented by those who provide such services as an exclusive subset of wealth management services, provided to particularly affluent clients

Symbol dialog, under font = "(normal text)", the characters are found in subset = "General Punctuation", Unicode character 2009 and nearby. Other word processing

obligation on a person to whom property has been conveyed Use (liturgy), subset of a Christian liturgical ritual family used by a particular group or diocese

) {\displaystyle \mathrm {Conv} (P)} of a set P ⊂ R d {\displaystyle P\subset \mathbb {R} ^{d}} , then x {\displaystyle x} lies in some d {\displaystyle

name Llanelli). This turbulent airflow is called frication. A particular subset of fricatives are the sibilants. When forming a sibilant, one still is forcing

take responsibility for developing their own players of the future. A subset of youth academies are referred to as elite academies, designated for teenagers

more common among academic journals. Volumes are released quarterly with a subset of open access articles. Some articles have been cross-published in the

more inclusively, incorporating the broader tourism sector as well as its subset the hospitality industry. Booking engines allow easy access for consumers

Blood of the Yakuza is a module in the Oriental Adventures subset of the Advanced Dungeons & Dragons Forgotten Realms product line. Blood of the Yakuza

Scott) if it preserves all directed suprema. That is, for every directed subset D of P with supremum in P, its image has a supremum in Q, and that supremum

arts referred to as nage-waza, 投げ技, "throwing technique". Throws are a subset of takedown (grappling). Certain throwing techniques called sacrifice throws

isomorphism from a nonempty open subset of X to a nonempty open subset of Y, and vice versa: an isomorphism between nonempty open subsets of X, Y by definition gives

separate mapping standard ISSkiOM has been produced which recommends a subset of the symbols used in other disciplines. Ski-orienteering maps uses green

The Padawan municipality is a collective name given to a subset of the Kuching District area which is not administered locally by the Kuching South City

The PubMed Dietary Supplement Subset (PMDSS) is a joint project between the National Institutes of Health (NIH) National Library of Medicine (NLM) and

Scheme programming language with a lightweight Scheme interpreter of a subset of the R5RS standard. It is meant to be used as an embedded scripting interpreter

change with human needs and development. This field is a subset of human geography, itself a subset of the more general study of geography. It is also related

large-scale disks, and ES galaxies with their intermediate scale disks, a subset of the "early-type" galaxy population. Most elliptical galaxies are composed

Print design, a subset of graphic design, is a form of visual communication used to convey information to an audience through intentional aesthetic design

roughly 1200 to 1500 A.D.; it is considered part of the Langford tradition, a subset of Upper Mississippian culture found in northwestern Illinois. Modern archaeologists

standard modeling language for analog circuits. It is the continuous-time subset of Verilog-AMS. A few commercial applications may export MEMS designs in

Al-Chibayish. The district's geography is dominated by the Hammar Marshes, a subset of the Mesopotamian Marshes, and by the Euphrates River that feeds the marshes

large-scale disks, and ES galaxies with their intermediate scale disks, a subset of the "early-type" galaxy population. Most elliptical galaxies are composed

Al-Chibayish. The district's geography is dominated by the Hammar Marshes, a subset of the Mesopotamian Marshes, and by the Euphrates River that feeds the marshes

for any subset S ⊂ X {\displaystyle S\subset X} where f {\displaystyle f} is injective. Let X 1 ⊂ X 2 ⊂ ⋯ {\displaystyle X_{1}\subset X_{2}\subset \cdots

Computer Aided Industrial Design (CAID) is a subset of computer-aided design (CAD) software that can assist in creating the look-and-feel or industrial

minimum spanning tree for a weighted undirected graph. This means it finds a subset of the edges that forms a tree that includes every vertex, where the total

every topological space ( X , T ) {\displaystyle (X,{\mathcal {T}})} and subset S ⊆ X , {\displaystyle S\subseteq X,} the subspace ( S , T | S ) {\displaystyle

standards are often a key determinant of glamour model trends. A popular subset of this type of photography is "pin-up", for women, and "beefcake", for

of the Ratón formation commencing at the Sangre de Cristo Mountains, a subset of the Rocky Mountains, from the west, 90 miles eastward to the Oklahoma

The Bank of English (BoE) is a representative subset of the 4.5 billion words COBUILD corpus, a collection of English texts. These are mainly British in

: x ≥ 0 } {\displaystyle C:=\left\{x\in X:x\geq 0\right\}} is a closed subset of X. Ordered TVSes have important applications in spectral theory. If C

uncorrelated with some subset of its inputs. Specifically, a Boolean function is said to be correlation-immune of order m if every subset of m or fewer variables

partially ordered set A is the least of the cardinalities of the cofinal subsets of A. Formally, cf ⁡ ( A ) = inf { | B | : B ⊆ A , ( ∀ x ∈ A ) ( ∃ y ∈

overlap of the prefixes and roots makes these terms a particularly confusing subset of botanical nomenclature. Sporophylls vary greatly in appearance and structure

∩ C = ∅ {\displaystyle B\cap C=\emptyset } then A ⊂ C {\displaystyle A\subset C} . It is a fallacy because any valid forms of categorical syllogism that

held in fee simple, fee tail or for term of life." The default position subset is the perpetual freehold, which is "an estate given to a grantee for life

productions produced and acted preferably by people from Catalonia. It is a subset of Spanish cinema and includes movies both in Catalan and Spanish. The Catalan

problems that can be efficiently solved on a parallel computer. NC is a subset of P because polylogarithmic parallel computations can be simulated by polynomial-time

collection of all copositive matrices is a proper cone; it includes as a subset the collection of real positive-definite matrices. Copositive matrices find

when the statistical characteristics of a population are estimated from a subset, or sample, of that population. Since the sample does not include all members

2 ⊂ … ⊂ K i ⊂ … ⊂ R n {\displaystyle K_{1}\subset K_{2}\subset \ldots \subset K_{i}\subset \ldots \subset \mathbb {R} ^{n}} with ⋃ i K i = R n {\displaystyle

of criteria of national significance. National Historic Landmarks are a subset of the properties listed in the larger National Register of Historic Places

neutrophils, but can also bind monocytes, natural killer cells, B cells and a subset of cytotoxic T cells by interacting with sialic acid molecules in the ligands

division – assumes what is true of the whole is true of its parts (or some subset of parts). In statistics, forms of it are usually referred to as the ecological

lattices of qubits with Ising type interactions. A cluster C is a connected subset of a d-dimensional lattice, and a cluster state is a pure state of the qubits

dependencies at the time. Rakudo is written in C, Raku, and the lightweight Raku subset NQP (Not Quite Perl). Rakudo Perl #14 was released in February 2009, codenamed

{\displaystyle x\in M} a vector subspace Δ x ⊂ T x M {\displaystyle \Delta _{x}\subset T_{x}M} in a smooth way. More precisely, Δ {\displaystyle \Delta } consists

telecommunications. The application performance management (APM) technologies are now a subset of Systems management. Maximum productivity can be achieved more efficiently

such as support for RDF-based rules. Turtle is a simplified, RDF-only subset of N3. The following is an RDF model in standard XML notation: <rdf:RDF

{\displaystyle X} is a collection B {\displaystyle {\mathcal {B}}} of subsets of X {\displaystyle X} that satisfy all the following conditions: B {\displaystyle

acronym SM17 refers to Santa Monica 17th Street, which is the gang's primary subset or "clique". They write up "SMG" or "Santa Monica Gang" to show solidarity

{\displaystyle X} are unique. Any singleton set { x } ⊂ X {\displaystyle \{x\}\subset X} is equal to the intersection of all closed neighbourhoods of x {\displaystyle

of all complex numbers of absolute value less than one. When viewed as a subset of the complex plane (C), the unit disk is often denoted D {\displaystyle

term Support (mathematics), subset of the domain of a function where it is non-zero valued Support (measure theory), a subset of a measurable space Supporting

metric system in 1864, however some rural communities still use a small subset of these units. Palmă (palm) - 1/8 of a stânjen Stânjen - 2 m (approximately)

variable with a set of variables, usually a subset is enough, and other variables are useless. Such a subset that contains all the useful information is

its tendency to cause serious anaphylaxis in a small, but unpredictable, subset of the patient population. Zomepirac was indicated for the management of

The definition of a subset being orthogonal to a vector is defined analogously. The orthogonal complement or annihilator of a subset R ⊆ X {\displaystyle

United States stocks maintained by Standard & Poor's. The S&P 100 is a subset of the S&P 500 and the S&P 1500, and holds stocks that tend to be the largest

reference and low lock contention, because a processor may operate on a subset of memory mostly or entirely within its own cache node, reducing traffic

Old Norse literature, Old Norse literature is often wrongly considered a subset of Icelandic literature. However, works by Norwegians are present in the

physics. Local least area definition: A surface M ⊂ R 3 {\displaystyle M\subset \mathbb {R} ^{3}} is minimal if and only if every point p ∈ M has a neighbourhood

vendors. RISC-V also encourages academic usage. The simplicity of the integer subset permits basic student exercises, and is a simple enough ISA to enable software

Andrei Chernov in 1993 and designed to cover Russian, which uses the Russian subset of a Cyrillic script. KOI-8, on its turn, is an 8-bit extension of the KOI-7

real numbers R with the standard metric dY(y1, y2) = |y1 − y2|, and X is a subset of R. In general, the inequality is (trivially) satisfied if x1 = x2. Otherwise

of Iraq, and the language of commerce and education. It is considered a subset of Iraqi Arabic. The vowel phoneme /eː/ (from standard Arabic /aj/) is usually

Business tourism or business travel is a more limited and focused subset of regular tourism. During business tourism (traveling), individuals are still

Sometimes a change impact analysis is performed to determine an appropriate subset of tests (non-regression analysis). As software is updated or changed, or

Cyclopentenone prostaglandins are a subset of prostaglandins (PGs) or prostanoids (see Eicosanoid §§ Classic eicosanoids​ and Nonclassic eicosanoids) that

xargs (short for "extended arguments") is a command on Unix and most Unix-like operating systems used to build and execute commands from standard input

input method; TCVN 6909, standardizing the Vietnamese character set as a subset of Unicode 3.1; and TCVN ISO 9001 (equivalent to ISO 9001), regarding quality

defines a set F ( x ) ⊂ B . {\displaystyle F(x)\subset B.} The preimage of a set S ⊂ B {\displaystyle S\subset B} under F {\displaystyle F} is defined as F

first developed in connection with the early tea dances, attended by a subset of gay men, as well as theme parties held on Fire Island and The Hamptons

commonly known as Spanish mackerels, seerfishes, or seer fish. This tribe is a subset of the mackerel family (Scombridae) , which it shares with four sister tribes

a single extant class, Pinopsida. They are cone-bearing seed plants, a subset of gymnosperms. All extant conifers are perennial woody plants with secondary

one H2O molecule by the concomitant oxidation of NAD(P)H. One important subset of the monooxygenases, the cytochrome P450 omega hydroxylases, is used by

integrals, intersections and unions, logical and relational operators, and subset/superset relations. The Mathematical Alphanumeric Symbols block (U+1D400–U+1D7FF)

the idea of a non-trivial "restriction" of a measure to a measure zero subset of the measure space in question. It is related to the existence of conditional

In functional analysis, the Shilov boundary is the smallest closed subset of the structure space of a commutative Banach algebra where an analog of the

to ATP, but its role as an energy coupler is limited to a much smaller subset of metabolic reactions. CTP is a coenzyme in metabolic reactions like the

term Adelaide Plains frequently refers to a central and non-metropolitan subset of the plain. This is evidenced by the local government area of Adelaide

safety, home economics, career counseling and how to balance budgets. A subset is known as hygiene films addressing mental hygiene and sexual hygiene.

Square brackets [ ] G[S] is the induced subgraph of a graph G for vertex subset S. Prime symbol ' The prime symbol is often used to modify notation for

a specific format (such as PostScript or Rich Text Format). Based on a subset of the Scheme programming language, it is specified by the standard ISO/IEC

Plant evolution is the subset of evolutionary phenomena that concern plants. Evolutionary phenomena are characteristics of populations that are described

the structure of compact subsets of Euclidean space was understood quite early on via the Heine–Borel theorem, connected subsets of R n {\displaystyle \mathbb

of the larger families are subsets of this group, with each subset defined and named by an algorithm. The largest subset family is the Huntington-Chapin-Waterman

The final version was approved by the IEEE in 2007. IEEE 802.1ag is a subset of the earlier ITU-T Recommendation Y.1731, which additionally addresses

in Western Christianity). The term is often a misnomer, as only a small subset of Eastern Catholic Churches practice the imposition of ashes. The Maronite

Whether Samogitians are considered to be a distinct ethnic group or merely a subset of Lithuanians varies. However, 2,169 people declared their ethnicity as

secondary aldimines depending on their structure. Anil refers to a common subset of Schiff bases: imines derived from anilines. The term can be synonymous

G\subset \mathbb {C} } which contains D {\displaystyle D} . f {\displaystyle f} is smooth and for every compact set K ⊂ D {\displaystyle K\subset D}

of a graph into two disjoint subsets. Any cut determines a cut-set, the set of edges that have one endpoint in each subset of the partition. These edges

wants to use a parametric model but the functional form with respect to a subset of the regressors or the density of the errors is not known. Semiparametric

2 ∣ x ≤ y } {\displaystyle \{(x,y)\in X^{2}\mid x\leq y\}} is a closed subset of X 2 {\displaystyle X^{2}} . From pospaces, one can define dimaps, i.e

common phrases such as chasing lost dreams. In these instances, it is a subset of possessiveness which has been most markedly observed at the spectator

partition of S into r subsets, and Y = { Y 1 , … , Y s } {\displaystyle Y=\{Y_{1},\ldots ,Y_{s}\}} , a partition of S into s subsets, define the following:

distinct subsets ("disjoint subsets") where any member of the set is a member of one and only one such subset. In the case of the zeroth law, these subsets consist

the club's director is Richard Teaster, who has led the group and its subset, the Pantherhythms, since 1999. The current elected-board of the group for

dimension. It asserts that if K {\displaystyle K} is a nonempty convex closed subset of a Hausdorff locally convex topological vector space V {\displaystyle