With his marriage to Urraca, queen regnant of Castile and León, in 1109, he began to use, with some justification, the grandiose title Emperor of Spain, formerly employed by his father-in-law, Alfonso VI.

With the exception of a justification of hostilities, the study of international crises assumes that neither side actually wants to go to war, but must be visibly prepared to do so.

With regard to Baptism, he taught that it brings justification only if conjoined with saving faith in the recipient ; however, it remained the foundation of salvation even for those who might later fall < ref >< cite > Schaff-Herzog, " Luther, Martin ," 71 .</ ref > and be reclaimed.

With some modification, traditional packrat parsing can support direct left recursion, but doing so results in a loss of the linear-time parsing property which is generally the justification for using PEGs and packrat parsing in the first place.

With the separation of powers, Yoo has argued that each branch of government has the authority to interpret the Constitution for itself, which provides the justification for judicial review by the federal courts.

With regard to justification by faith and sanctification Wesley said that although reason cannot produce faith, when impartial reason speaks we can understand the new birth, inward holiness, and outward holiness.

With the change from mini-computers to micro-computers a few years later, even a " single user PC " with a single 8-bit CPU with 16K or 64K of memory could support multiple users, running dumb terminals in command line mode.

With 32 bytes, France would have been able to implement an ATM-based voice network with calls from one end of France to the other requiring no echo cancellation.

With the recent acquisition of Western Wireless, Alltel now takes the claim of the " largest network in America.

With international investment, Bulgaria began constructing a new domestic gas transportation network beginning in 2005.

With a sufficiently sophisticated switch, it is possible to create a network in which the normal notion of a broadcast domain is strictly controlled.

With over 1, 400 access points, the network is available throughout all College buildings as well as in most public outdoor spaces.

KATOURY ) and corresponds with all lines of the network by structuring ways. With a bus every hour from Monday to Saturday. Amplitude ( 1 bus ): 5 h beginning 55, 19 end 20 h.

With IPv6, however, changing the prefix announced by a few routers can in principle renumber an entire network, since the host identifiers ( the least-significant 64 bits of an address ) can be independently self-configured by a host.

With the help of standard procedures, MPEG-4 data can be interpreted and transformed into other signal types compatible with any available network.

With a relatively substantial road network, car travel is common in Niue.

With these satellites in place China's domestic satellite communication network went into operation, facilitating television and radio transmissions and providing direct-dial longdistance telephone, telegraph, and facsimile service.

With only 5. 6 percent of the population having access to a land-line connection, the meager telephone network has resulted in rapid growth in mobile phone use.

With the help of client-side prediction, which allowed players to see their own movement immediately without waiting for a response from the server, QuakeWorld network code allowed players with high-latency connections to control their character's movement almost as precisely as when playing in single-player mode.

With the growing availability of satellite television channels or terrestrial digital subchannels, combined with a growing body of available post-syndication programming, a handful of specialty channels have been built solely or primarily to run former network programming which otherwise would no longer be in syndication.

With the premiere of Verbotene Liebe, the network turned Marienhof into a daily soap as well.

With broadcasts of Coronation Street on rival network TV3 moving to Thursday night, the Wednesday night episode of Fair City broadcasts at 7: 30pm each week.

With a cluster of car-makers and parts suppliers, the Turkish automotive sector has become an integral part of the global network of production bases, exporting over $ 22, 944, 000, 000 worth of motor vehicles and components in 2008.

With UDP, computer applications can send messages, in this case referred to as datagrams, to other hosts on an Internet Protocol ( IP ) network without requiring prior communications to set up special transmission channels or data paths.

With Mobile Application Part, UMTS uses the same core network standard as GSM / EDGE.

When Ethernet became Fast Ethernet, it continued to use the Carrier Sense Multiple Access With Collision Detection ( CSMA / CD ) mechanism to manage traffic on the network cable.

With the gradual breakup of the Bell monopoly, starting with Hush-A-Phone v. United States, which allowed some non-Bell owned equipment to be connected to the network ( a process called interconnection ), equipment on customers ' premises became increasingly owned by customers, not the telco.

With the advent of IN, most of these services ( such as toll free numbers and geographical number portability ) were moved out of the core switch systems and into self serving nodes ( IN ), thus creating a modular and more secure network that allowed the services providers themselves to develop variations and value-added services to their network without submitting a request to the core switch manufacturer and wait for the long development process.

With respect to their functions, the PLMNs may be regarded as independent communications entities, even though different PLMNs may be interconnected through the PSTN / ISDN for the forwarding of calls or network information.

With SS7, the full 64 kbit / s DS0 channel is available for use on a connection, and allows 64 kbit / s, and 128 kbit / s ISDN data calls to exist over a switched trunk network connection if the supporting T1 carrier entity is optioned B8ZS ( Clear Channel Capable ).

With a growing suspicion of his ministers and subjects, Hongwu established the Jinyi Wei, a network of secret police drawn from his own palace guard.

With the intellectual benefits of having established Europe's first public education system since classical antiquity Scottish thinkers began questioning assumptions previously taken for granted ; and with Scotland's traditional connections to France, then in the throes of the Enlightenment, the Scots began developing a uniquely practical branch of humanism to the extent that Voltaire said, " We look to Scotland for all our ideas of civilization.

With the War of 1812 and an increasing desire to produce uniquely American literature and culture, a number of key new literary figures emerged, perhaps most prominently Washington Irving, William Cullen Bryant, James Fenimore Cooper, and Edgar Allan Poe.

With this identification of antipodal points, the model satisfies Euclid's first postulate, which states that two points uniquely determine a line.

With these normalizations, the connection is uniquely defined.

With regard to the relationship between OCBs and managerial evaluations, Podsakoff and colleagues ( 2000 ) found, in a summary of empirical evidence, that OCBs uniquely accounted for 42. 9 % of the variance in managerial performance evaluations.

With the size of 60mm and uniquely designed heat sink fan fixation, SK6 is a breakthrough in the past.

With our choice of units the marginal utility of the amount of the factor consumed directly by the optimizing consumer is again w, so the amount supplied of the factor too satisfies the condition of optimal allocation.

With this distance, the set of n-node binary trees becomes a metric space: the distance is symmetric, positive when given two different trees, and satisfies the triangle inequality.

With certain assumptions on the function ( for example, convex and Lipschitz ) and particular choices of ( e. g., chosen via a line search that satisfies the Wolfe conditions ), convergence to a local minimum can be guaranteed.

Ohio v. Roberts, 448 U. S. 56 ( 1980 ), set forth a two-pronged test in order for hearsay to be admissible against a criminal defendant: ( 1 ) the declarant generally must be shown to be unavailable ; and ( 2 ) the statement must have been made under circumstances providing sufficient “ indicia of reliability .” With respect to the second prong, a reliability determination may assume that hearsay is sufficiently reliable for constitutional purposes if it satisfies a “ firmly rooted ” hearsay exception.

Note that natural transformations can be composed: if μ ( X ): F ( X ) → G ( X ) is a natural transformation from the functor F: C → D to the functor G: C → D, and η ( X ): G ( X ) → H ( X ) is a natural transformation from the functor G to the functor H, then the collection η ( X ) μ ( X ): F ( X ) → H ( X ) defines a natural transformation from F to H. With this composition of natural transformations ( known as vertical composition, see natural transformation ), D < sup > C </ sup > satisfies the axioms of a category.

With this notation, the &# 8472 ; function satisfies the following differential equation: