However, instead of simply considering the space of ultrafilters on, the right way to generalize this construction is to consider the Stone space of the measure algebra of: the spaces and are isomorphic as C *- algebras as long as satisfies a reasonable finiteness condition ( that any set of positive measure contains a subset of finite positive measure ).

Worsaae determined that a second subset of the Stone Age deposits, associated with dolmen burials, showed signs of animal husbandry and agriculture.

A topological algebra A is said to be generated by a subset S if A itself is the smallest closed subalgebra of A that contains S. For example by the Stone – Weierstrass theorem, the set

It also includes expressly spiritual New Age music as a subset.

Thoughtform are evident in Vajrayana Buddhism, Bönpo traditions, indigenous cultural traditions throughout the world such as Cherokee of North America and Indigenous Australians ( who understand the waking, created world to be a thoughtform subset of The Dreaming ), shamanic traditions, echoes are evident in ghosts or supernatural agency, folk religion, esoteric philosophies such as Theosophy and what is construed as the New Age.

Philosophers in ancient societies were interested in how humans acquired the ability to understand and produce language well before empirical methods for testing those theories were developed, but for the most part they seemed to regard language acquisition as a subset of man's ability to acquire knowledge and learn concepts.

NP-complete problems do not tend in their general case to be easier for unaided humans than for suitably programmed computers: it is doubtful that unaided humans would be able to compete successfully against computers in solving, for example, instances of the subset sum problem.

In humans, IL-10 is encoded by the IL10 gene, which is located on chromosome 1 and comprises 5 exons, and is primarily produced by monocytes and, to a lesser extent, lymphocytes, namely type 2 T helper cells ( T < sub > H </ sub > 2 ), mastocytes, CD4 + CD25 + Foxp3 + regulatory T cells, and in a certain subset of activated T cells and B cells.

" Depending on one's point of view, all other uses can be considered derivatives of this use, including the following non-copular uses in English, as they all express a subset relationship.

Note that any valid SGML or XML document that references an external subset in its DTD, or whose body contains references to parsed external entities declared in its DTD ( including those declared within its internal subset ), may only be partially parsed but cannot be fully validated by validating SGML or XML parsers in their standalone mode ( this means that these validating parsers will not attempt to retrieve these external entities, and their replacement text will not be accessible ).

A non-validating parser may, however, elect not to read parsable external entities ( including the external subset ), and does not have to honor the content model restrictions defined in element declarations and in attribute list declarations.

If the XML document depends on parsable external entities ( including the specified external subset, or parsable external entities declared in the internal subset ), it should assert in its XML declaration.

In contrast, Rand saw ethics as a necessity for human survival and well-being, and argued that the " social " implications of morality, including natural rights, were simply a subset of the wider field of ethics.

Martial arts since the 1970s has become a significant industry, a subset of the wider sport industry ( including cinema and sports television ).

Mineralogy is a subset of geology specializing in the scientific study of chemistry, crystal structure, and physical ( including optical ) properties of minerals.

An event, however, is any subset of the sample space, including any singleton set ( an elementary event ), the empty set ( an impossible event, with probability zero ) and the sample space itself ( a certain event, with probability one ).

There are exactly 2339 solutions, excluding trivial variations obtained by rotation and reflection of the whole rectangle, but including rotation and reflection of a subset of pentominoes ( which sometimes provides an additional solution in a simple way ).

Some of the early 1982 commercial software for the IBM PC was ported from CP / M ( where it was written for the BDS C subset of the C language ) to MS-DOS using Lattice C including Perfect Writer, PerfectCalc, PerfectSpeller and PerfectFiler.

The most recent published version of the Radio Regulations, the " Edition of 2008 " contains the complete texts of the Radio Regulations as adopted and revised by WRC-07, including all articles, appendices, resolutions, and a subset of the recommendations issued by ITU-R ( previously known as the CCIR ) ( those " recommendations " which have a mandatory nature, as a result of being cited in the Radio Regulations ).

Other trunking protocols have been used but have become obsolete, including Inter-Switch Link ( ISL ), IEEE 802. 10 ( originally a security protocol but a subset was introduced for trunking ), and ATM LAN Emulation ( LANE ).

Additionally, the English Wiktionary includes Wikisaurus, a category that serves as a thesaurus, including lists of slang words, and the Simple English Wiktionary, compiled using the Basic English subset of the English language.

CDS prediction is a subset of gene prediction, the latter also including prediction of DNA sequences that code not only for protein but also for other functional elements such as RNA genes and regulatory sequences.

The " s " in Win32s signifies subset, as Win32s lacked a number of Windows NT functions, including threading, asynchronous I / O, newer serial port functions and many GDI extensions.

Already popular in its own little subset populations peppered throughout the United States, Korean food debuted in the many Koreatowns found in metropolitan areas including in Los Angeles ; Queens and Manhattan in New York City ; Palisades Park and Fort Lee in Bergen County, New Jersey ; Annandale, Virginia ; Philadelphia ; Atlanta ; Dallas ; and Chicago.

A subset of androgens, adrenal androgens, includes any of the 19-carbon steroids synthesized by the adrenal cortex, the outer portion of the adrenal gland ( zonula reticularis — innermost region of the adrenal cortex ), that function as weak steroids or steroid precursors, including dehydroepiandrosterone ( DHEA ), dehydroepiandrosterone sulfate ( DHEA-S ), and androstenedione.

Numbers including and beyond 100, 000 are expressed in a subset of the Indian numbering system.

XHTML Basic is a subset of XHTML 1. 1, defined using XHTML Modularization including a reduced set of modules for document structure, images, forms, basic tables, and object support.

In other words, the sum of the proper divisors ( divisors including 1 but not itself ) of the number is greater than the number, but no subset of those divisors sums to the number itself.

The politicization of science is a subset of a broader topic, the politics of science, which has been studied by scholars in a variety of fields, including most notably Science and Technology Studies ; history of science ; political science ; and the sociology of science, knowledge, and technology.

Version 1. 1. 2 is specified in JSR 219 and implements a subset of Java SE 1. 4. 2, including a set of security-related optional packages, such as Java Authentication and Authorization Service ( JAAS ), Java Secure Socket Extension ( JSSE ), and Java Cryptography Extension ( JCE ).

* The JDBC Optional Package provides a subset of the JDBC 3. 0 API for accessing data sources, including spreadsheets, flat files and relational databases.

CORAL ( Computer On-line Real-time Applications Language ) is a programming language originally developed in 1964 at the Royal Radar Establishment ( RRE ), Malvern, UK, as a subset of JOVIAL.

During the next century and a half, the remaining section of Milford was known for shipbuilding, farming and oystering, although a small subset of industrial facilities also developed in town.

MXF was developed to carry a subset of the Advanced Authoring Format ( AAF ) data model, under a policy known as the Zero Divergence Directive ( ZDD ).

MXF was developed to be essentially a subset of the AAF data model, under the Zero Divergence Directive ( ZDD ) policy.

Circuit parties were first developed in connection with the early tea dances attended by a subset of gay men, and theme parties held on Fire Island, in the days after police abuse and before the beginning of the health crisis of HIV / AIDS.

Many games used DOS / 4GW, which was developed by Rational Systems as a subset of DOS / 4G and was distributed with the Watcom C compiler.

Telematics International developed a subset of the Tymnet protocols to run on their ACP / PCP nodes.

It has been developed in very close cooperation with IEEE 802. 16, such that the HiperMAN standard and a subset of the IEEE 802. 16a-2003 standard will interoperate seamlessly.

Lispkit Lisp is a lexically scoped, purely functional subset of Lisp (" Pure Lisp ") developed as a testbed for functional programming concepts.

A subset of these languages is notable for forming a well-studied sprachbund, a group of languages that have developed some striking structural similarities over time.

The slug is part of a subset of units known as the gravitational FPS system, one of several such specialized systems of mechanical units developed in the late 19th and the 20th century.

The Terrex Infantry Carrier Vehicle ( ICV ) is an armoured fighting vehicle developed by ST Engineering and Timoney Technology Ltd. Its Turkish variant, the Yavuz, is built by Turkish automaker Otokar together with ST Kinetics ( a subset of ST Engineering ).

The candidate controllers used in ER applications may be drawn from some subset of the set of artificial neural networks, although some applications ( including SAMUEL, developed at the Naval Center for Applied Research in Artificial Intelligence ) use collections of " IF THEN ELSE " rules as the constituent parts of an individual controller.

Telematics International developed a subset of the Tymnet protocols to run on their ACP / PCP nodes.

It is a subset of Fortran 95 developed by Walter Brainerd, Richard Hendrickson, and David Epstein.

In time it became clear that Postgres did not perform adequately on the low-specification systems used to run Minerva, so mSQL developed into a lightweight database management system in its own right, implementing a limited subset of the SQL standard, but performing well on minimally specified hardware.

SASL ( from St. Andrews Static Language, alternatively St. Andrews Standard Language ) is a purely functional programming language developed by David Turner at the University of St Andrews in 1972, based on the applicative subset of ISWIM.

Additionally each country has developed guidelines that describe the application of the NESUBL subset to domestic business practices.

Many organizations have gone beyond the traditional functions and developed human resource management information systems, which support recruitment, selection, hiring, job placement, performance appraisals, employee benefit analysis, health, safety and security, while others integrate an outsourced applicant tracking system that encompasses a subset of the above.

A continuation and subset of the Subtext language using other principles, is Coherence, an experimental programming language and environment, which uses a new model of change-driven computation called " Coherent reaction ", to coordinate the effects and side-effects of programs interactively as they are being developed.

The formal concept of arrows was developed to explain these exceptions to monadic code, and in the process, monads themselves turned out to be a subset of arrows.