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partially and defined
Since Fire Temple was at least partially built to conform to the dimensions of the cliff alcove in which it was built, it is neither round in form nor truly subterranean like other structures defined as kivas
The cofinality of a partially ordered set A can alternatively be defined as the least ordinal x such that there is a function from x to A with cofinal image.
Since AIDS is now defined partially by the presence of HIV, Duesberg claims it is impossible by definition to offer evidence that AIDS doesn't require HIV.
Then and become partially defined operations on G, and will in fact be defined everywhere ; so we define * to be and to be.
Though his sources on Gnosticism were secondary, since the texts in the Nag Hammadi library were not yet widely available, Eric Voegelin ( 1901 – 1985 ), partially building on the concept of gnosis as used by Plato and the followers of Gnosticism, along with how it was defined by Hans Jonas, defined the gnosis of the followers of Gnosticism as religious philosophical teachings that are the foundations of cults.
The midday block ( defined by Arbitron as 10 a. m. to 3 p. m., though often extended later to about 5 p. m .) is mostly music, and in many places is at least partially voicetracked from another market.
Given an arbitrary group G, there is a related profinite group G < sup >^</ sup >, the profinite completion of G. It is defined as the inverse limit of the groups G / N, where N runs through the normal subgroups in G of finite index ( these normal subgroups are partially ordered by inclusion, which translates into an inverse system of natural homomorphisms between the quotients ).
Extensions of the notion of area which partially fulfill its function and may be defined even for very badly irregular surfaces are studied in the geometric measure theory.
* Tamari lattice, a partially ordered set in which the elements can be defined as binary trees and the ordering between elements is defined by tree rotation.
In mathematics, especially in order theory, an upper bound of a subset S of some partially ordered set ( P, ≤) is an element of P which is greater than or equal to every element of S. The term lower bound is defined dually as an element of P which is less than or equal to every element of S. A set with an upper bound is said to be bounded from above by that bound, a set with a lower bound is said to be bounded from below by that bound.
The retirement fund is a defined benefit type pension plan and was only partially funded by the government, with only $ 268. 4 million in assets and $ 911 million in liabilities.
The 1956 paper by Higgins referenced below has been well followed up for its framework for a range of particular algebraic systems, while his 1963 paper is notable for its discussion of algebras with operations which are only partially defined, typical examples for this being categories and groupoids.
The approach involves letting truth be a partially defined property over the set of grammatically well-formed sentences in the language.
A subset S of a partially ordered set P is called bounded above if there is an element k in P such that k ≥ s for all s in S. The element k is called an upper bound of S. The concepts of bounded below and lower bound are defined similarly.
The partial derivative can be seen as another function defined on U and can again be partially differentiated.
The data objects are partially defined in this International Standard, partially imported from ISO / IEC 19785-1.
The extent to which Theophrastus followed Aristotle's doctrines, or defined them more accurately, or conceived them in a different form, and what additional structures of thought he placed upon them, can only be partially determined because of the loss of so many of his writings.
As used herein, " Pit Bull Terrier " is hereby defined as any Staffordshire Bull Terrier, American Staffordshire Terrier, American Pit Bull Terrier breed of dog, or any mixed breed of dog which contains as an element of its breeding of Staffordshire Bull Terrier, American Staffordshire Terrier, or American Pit Bull Terrier, as to be identifiable as partially of the breed commonly known as Pit Bull Terriers by a qualified veterinarian duly licensed as such by the state.
The area defined as a CDP is partially within Torch Lake Township and partially within Osceola Township.
In order theory, a field of mathematics, an incidence algebra is an associative algebra, defined for any locally finite partially ordered set

partially and isometric
Conversely, given any partially defined operator U which is isometric on its domain ( which is not
A partially defined isometric operator V on a Hilbert space H has a unique isometric extension to the norm closure of dom ( V ).
Thus a partial isometry is also sometimes defined as a closed partially defined isometric map.

partially and operator
A *( B *( C * D )) where A, B, C, D are partially transparent image layers and "*" denotes a compositing operator ( with the left layer on top of the right layer ).
This allows one to succinctly express, for example, the successor function as the addition operator partially applied to the natural number one.
* Difference operator generalizes to Möbius inversion over a partially ordered set.
This problem was at least partially solved in the United States, Canada, and the UK by dialling " 0 " for the local assistance operator in case of emergency, although faster service could be obtained if the user dialled the full number for the Police or Fire Department.
A partially defined linear operator A on a Hilbert space H is called symmetric if
More generally, a partially defined linear operator A from a topological vector space E into its continuous dual space E < sup >∗</ sup > is said to be symmetric if
unique partially defined linear operator
It associates a partially defined isometry to any symmetric densely defined operator.
Brennan's system implemented this idea in a partially automated fashion as follows: the operator was required to input a frontal drawing of the desired person having a standardized topology ( the number and ordering of lines for every face ).
* Nonnegative operator on a partially ordered vector space
Plastic magazines are sometimes partially transparent so the operator can easily check the remaining ammunition.
# REDIRECT Closure operator # Closure operators on partially ordered sets
Despite the loss of Gehrig, the Yankees went on to win three more AL crowns from 1941 to 1943 before McCarthy resigned in May 1946, partially due to conflict with new club operator Larry MacPhail.
The son of an organ maker, Bouchon partially automated the tedious setting up process of the drawloom in which an operator lifted the warp threads using cords.
As calls are presented to the PBX, the dialed destination number ( DNIS ) is transmitted, usually partially ( e. g., last four digits ), so that the PBX can route the call directly to the desired telephone extension within the organization without the need for an operator or attendant.
Beginning with The Burglar Who Liked to Quote Kipling, Bernie has become the owner / operator of Barnegat Books, a used bookstore in Greenwich Village that he purchased from its retiring owner and partially funds through the take from his occasional burglary activities.

partially and with
It was partially cemented by ages and pressure, yet it crumpled before the onslaught of the powerful streams, the force of a thousand fire hoses, and with the gold it held washed down through the long sluices.
There the community, faced with the need to formulate policy on the level of absolute justice, can find the answer to its problem in the absolute truth which it holds as partially experienced.
Secretary Hart had taught Jack, at least partially, to be content with small beginnings in all diplomatic matters ; ;
The typical Arabidopsis-type ' sequence of bases has been fully or partially replaced by other sequences, with the ' human-type ' predominating.
Armenians partially deny the allegation, claiming that Russian side was equally supplying Armenian and Azerbaijani sides with weapons and mercenaries.
* 2007 – The bulk carrier M / V New Flame collides with the oil tanker Torm Gertrud at the southernmost tip of Gibraltar, ending up partially submerged.
The 1993 film Sleepless in Seattle, a romantic comedy partially inspired by An Affair to Remember, climaxes with a scene at the Empire State observatory.
The game was partially complete with a running engine but no enemies.
The recorder consists of a float in a sealed chamber partially filled with water.
Some efforts have been partially effective in creating fear, due to the lack of visibility associated with modern biological weapon use by small organizations.
A bitter, and very public, dispute ensued between those, like Edmund Grindal and Richard Cox, who wished to preserve in exile the exact form of worship of the 1552 Prayer Book ; and those, like John Knox the pastor of the congregation, who regarded that book as still partially tainted with compromise.
These canals were partially built with the help of engineers from the Netherlands and other countries.
This tool is generally used in countries with non-convertible currencies or partially convertible currencies.
During a siege by Parthian troops in A. D. 257, the buildings in the outermost blocks of the city grid were partially destroyed and filled with rubble to reinforce the city wall.
* The cofinality of a partially ordered set with greatest element is 1 as the set consisting only of the greatest element is cofinal ( and must be contained in every other cofinal subset ).
This is partially ordered under inclusion and the subsets with m elements are maximal.
The General Council of Congregational Christian Churches was formed from a merger between the National Council of Congregational Churches and the General Convention of the Christian Church, also known as Christian Churches or Christian Connection ( not to be confused with, although partially related to, the Disciples of Christ ).
In January 1962, General Edward Lansdale described plans to overthrow the Cuban Government in a top-secret report ( partially declassified 1989 ), addressed to President Kennedy and officials involved with Operation Mongoose.
As the church was replacing Pisan prelates with Corsican ones there the legal language shows a transition from entirely Latin through partially Latin, partially Corsican to entirely Corsican.
The countercult movement asserts that non-fundamental Christian sects whose beliefs are partially or wholly not in accordance with the Bible are erroneous.
The 2000 Michelin Motoring and Tourist Map 955 of Southern and Central Africa, which categorizes roads as " surfaced ", " improved " ( generally unsurfaced but with gravel added and graded ), " partially improved " and " earth roads " and " tracks " shows that there were 2694 km of paved highway in 2000.
' Let's Dance ', with its little narrative surrounding the young Aborigine couple, targeted ' youth ', and ' China Girl ', with its bare-bummed ( and later partially censored ) beach lovemaking scene ( a homage to the film From Here to Eternity ), was sufficiently sexually provocative to guarantee heavy rotation on MTV.

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