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Collectively and set
Collectively Svalbard and Jan Mayen is also assigned its own set of country codes in ISO 3166-1, with alpha-2 code < tt > SJ </ tt >.

Collectively and complete
Collectively, the agents, who have varying skills and profiles, will carry out all of the players actions in the simulation and will take varying amounts of time to complete each project.

Collectively and space
Collectively, these thematic clusters define the programme space within which the UN University undertakes its academic activities.
Collectively they are capable of discriminating a large portion of angle space and can provide a higher gain versus a single omnidirectional radiator.

exhaustive and probability
Flipping a head and flipping a tail are collectively exhaustive events, and there is a probability of 1 of flipping either a head or a tail.
In probability theory, a set of events is jointly or collectively exhaustive if at least one of the events must occur.

exhaustive and set
Divisio is an exhaustive list of subsets of a set, in the sense that every member of the " divided " set is a member of one of the subsets.
Actions are often expressed as a set, for example a set of j exhaustive and exclusive actions:
If evidence is simultaneously used to update belief over a set of exclusive and exhaustive propositions, Bayesian inference may be thought of as acting on this belief distribution as a whole.
The set of clauses in the following function definition is exhaustive and not redundant:
In this case a set of dummy variables is constructed, each dummy variable having two mutually exclusive and jointly exhaustive categories — in this example, one dummy variable ( called D < sub > 1 </ sub >) would equal 1 if age is less than 18, and would equal 0 otherwise ; a second dummy variable ( called D < sub > 2 </ sub >) would equal 1 if age is in the range 18-64, and 0 otherwise.
More formally, these " cells " are both collectively exhaustive and mutually exclusive with respect to the set being partitioned.
We will number the terms of the cochain complex by n. Later, we will also assume that the filtration is Hausdorff or separated, that is, the intersection of the set of all F < sup > p </ sup > C < sup >•</ sup > is zero, and that the filtration is exhaustive, that is, the union of the set of all F < sup > p </ sup > C < sup >•</ sup > is the entire chain complex C < sup >•</ sup >.
The MECE principle, pronounced ' mice ', mutually exclusive and collectively exhaustive, is a grouping principle for separating a set of items into subsets, the choice of subsets should be
# collectively exhaustive -- i. e., the set of all subsets, taken together, should fully encompass the larger set of all items (" no gaps ").
The set of all possible die rolls is both collectively exhaustive and mutually exclusive.
This section is not an exhaustive set of rules ; it is intended to give the reader an idea of the preparation level of the cars in this class.
This section is not an exhaustive set of rules ; it is intended to give the reader an idea of the preparation level of the cars in this class.
In the frame of the mathematical foundations of quantum physics, such a operator is a proposition about the state of the system, as a POVM element, and for having an exhaustive set of propositions, these operators must be a resolution of the Hilbert space:
After an exhaustive inspection of the bearing system, the office of the Senate superintendent awarded a contract in October 2001 for the redesign and manufacture of a new bearing system that will again set the clouds in motion.

exhaustive and theory
In cryptography, a brute-force attack, or exhaustive key search, is a cryptanalytic attack that can, in theory, be used against any encrypted data ( except for data encrypted in an information-theoretically secure manner ).
Navigator and aeronautical engineer Elgen Long and his wife Marie K. Long devoted 35 years of exhaustive research to the " crash and sink " theory, which is the most widely accepted explanation for the disappearance.
Defenders of the MI theory would argue that this is simply a recognition of the broad scope of inherent mental abilities, and that such an exhaustive scope by nature defies a simple, one-dimensional classification such as an assigned IQ value.
Draper's most enduring legacy is likely to be his five-volume magnum opus Karl Marx's Theory of Revolution ( Monthly Review Press, 1977-1990 ), a seminal re-evaluation of the whole of Marx's political theory, based on an exhaustive survey of the writings of both Marx and Engels.
The most complete, exhaustive study of every angle and conspiracy theory about the assassination, winner of the Edgar Award True Fact / Crime category in 2007 ).
Semyonov's outstanding work on the mechanism of chemical transformation includes an exhaustive analysis of the application of the chain theory to varied reactions ( 1934 – 1954 ) and, more significantly, to combustion processes.
Attachment theory is not an exhaustive description of human relationships, nor is it synonymous with love and affection, although these may indicate that bonds exist.
* 1956 Nikolai Semenov For outstanding work on the mechanism of chemical transformation includes an exhaustive analysis of the application of the chain theory to varied reactions ( 1934 – 1954 ) and, more significantly, to combustion processes.
In 1869, after an exhaustive study of ammonites, Waagen advocated the theory of evolution or mutation for certain series of fossils.
Some techniques for determining the upper and lower bounds for the snake-in-the-box problem include proofs using discrete mathematics and graph theory, exhaustive search of the search space, and heuristic search utilizing evolutionary techniques.
In the more orthodox races some theory is available to help understand the status as far as liberties goes, when these are not completely WYSIWYG ; but such theories are not so far able to give an exhaustive description of all capturing races.

exhaustive and collection
Throughout the 1960s and early to mid-1970s, American scholar Bertrand Harris Bronson published an exhaustive, four-volume collection of the then-known variations of both the texts and tunes associated with what came to be known as the Child Canon.
After exhaustive investigation, Schrörs has decided that the pope was neither acquainted with the pseudo-Isidorian collection in its entire extent, nor did he make use of its individual parts.
* Morgan Library — Grace College holds the complete Sunday papers, and a near exhaustive collection of Sunday print materials including biographies, collected sermons, published campaign pieces, and over twenty five Sunday dissertations and theses.
* Directory of Dredgers ( a close to exhaustive private collection of dredger photographs )
So Far stands as an exhaustive collection of Starr's concert highlights spanning a decade.

exhaustive and sets
CIS includes one of the world ’ s most exhaustive online collections of legislative content and highly respected statistical works, while UPA includes deep historical sets.
One approach and formation is model checking, which consists of a systematically exhaustive exploration of the mathematical model ( this is possible for finite models, but also for some infinite models where infinite sets of states can be effectively represented finitely using abstraction ).

exhaustive and whose
When Rogers died, when Vanity Fair was published, when the Greville Memoirs was issued or a revolution occurred on the continent, Hayward, whose memory was as retentive as his power of accumulating documentary evidence was exhaustive, wrote an elaborate essay on the subject for the Quarterly or the Edinburgh.
* The DES, whose 56-bit keys allow attacks via exhaustive search.
The Watergate Committee ’ s finding of the abuses led to creation of the Ink Commission, whose exhaustive study and recommendations were the foundation for the Civil Service Reform Act of 1978, including creation of the Office of Special Counsel to see that this type of merit system abuse never happened again.
Birds of the West Indies is known not only for its exhaustive study of Caribbean birds, but also for its author, whose namesake became famous as the fictional Agent 007 of Her Majesty's Secret Service.

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