Thus creativity may run all the way from making a cake, building a chicken coop, or producing a book, to founding a business, creating a League of Nations or, developing a mature character.

Thus, computing includes designing and building hardware and software systems for a wide range of purposes ; processing, structuring, and managing various kinds of information ; doing scientific studies using computers ; making computer systems behave intelligently ; creating and using communications and entertainment media ; finding and gathering information relevant to any particular purpose, and so on.

Thus, the software program automatically interpolates the two values, creating a smooth transition.

Thus three major themes in 19th century mathematics were combined by Lie in creating his new theory: the idea of symmetry, as exemplified by Galois through the algebraic notion of a group ; geometric theory and the explicit solutions of differential equations of mechanics, worked out by Poisson and Jacobi ; and the new understanding of geometry that emerged in the works of Plücker, Möbius, Grassmann and others, and culminated in Riemann's revolutionary vision of the subject.

Thus the paradox of creating new information, information itself, or creating existence itself and an information system such as a cognitive system into existence from a position of infinitely knowing, becomes a self-refuting argument and defies the listed " omni " attributes.

Thus education would play an important role in creating a balance through rigorous exercise of beneficial organs while repressing baser ones.

Thus, their energy levels stack up, creating band structure out of each atomic energy level.

Thus creating value for the firm, as Debt is thought to be a cheaper source of finance.

Thus act creating the Kansas Territory and the Nebraska Territory, west of the State of Missouri and the State of Iowa.

Thus, according to this hypothesis, the death of the adult clone is due to resource exhaustion, as it would be more effective for parent plants to devote all resources to creating a large seed crop than to hold back energy for their own regeneration.

Thus creating access for fuel, food and various hotels to both Hillman and Atlanta.

Thus since the landscape is still recovering from the weight of the glaciers and going through post-glacial rebound and the turmoil this created, the landscape is poorly drained creating the numerous lakes and rivers found in Cass County.

Thus freed from feudal revolts, William confided the government to men trained in Maio's school, creating a triumvirate: the grand protonotary, Matthew of Ajello ; Count Sylvester of Marsico, who had inherited Maio's property ; and the Bishop Palmer of Syracuse, elect, but not consecrated.

Thus, instead of an anarchic international system, there are plenty of opportunities for cooperation and broader notions of power, such as cultural capital ( for example, the influence of films leading to the popularity of the country's culture and creating a market for its exports worldwide ).

Thus, the performer plays on two strings most of the time, creating a typical bourdon style.

Thus letters patent creating the title in May 1937 restricted the attribute of Royal Highness to the Duke of Windsor alone, denying it to the woman for whom he had given up the throne.

Thus decoherence is the process by which information of a quantum system is altered by the system's interaction with its environment ( which form a closed system ), hence creating an entanglement between the system and heat bath ( environment ).

Thus Paris closed its central churchyards and relocated its burials during the Napoleonic period, creating cemeteries such as Père Lachaise.

Thus, the two instruments gradually shift out of unison, creating first a slight echo as one instrument plays a little behind the other, then a doubling with each note heard twice, then a complex ringing effect, and eventually coming back through doubling and echo into unison.

Thus, courts would be creating economic wealth and property if they established legal rules that defined the exploitation of air.

Thus, Rumi began creating a work in the didactic style of Sana ’ i and ‘ Attar to complement his other poetry.

Thus, in the inaugural issue of The American Review, Collins praised Benito Mussolini for creating an ethical state which protected workers and small businesses and also wrote favorably of the election of Adolf Hitler to Chancellor of Germany whose new program, Collins believed, heralded the end of the Communist threat.

Thus, beginning in 1297 the practice started of creating new peerages by letters patent, specifying the fief to which the peerage was attached, and the conditions under which the fief could be transmitted ( e. g. only male heirs ) for princes of the blood who held an apanage.

Thus, if the calculation was correct, this would rule out the fireball being involved in any way with what may or may not have happened in Kecksburg.

Thus Christ's atonement is intended for all, but requires faith to be effected.

Thus, though knowledge requires justification, truth, and belief, the word " knowledge " can't be, according to Williamson's theory, accurately regarded as simply shorthand for " justified true belief.

Thus, a solution requires that no two queens share the same row, column, or diagonal.

Thus for a large or very distributed company that requires multiple PBXs, users can receive the same services across the network and be unaware of the switch that their telephone is connected to.

Thus, as per Draper's argument above, the theory that there is an omniscient and omnipotent being who is indifferent requires no hidden reasons in order to explain evil.

Thus for finite n, the expression " n-th element " of a well-ordered set requires context to know whether this counts from zero or one.

Thus, assigning age significance to a result requires studying the metasomatic and thermal history of the rock, any metamorphic events, and any evidence of fluid movement.

Thus it requires sufficient duration of transmission time for calls to connect or link with another station that is unsynchronised with its calling signal.

Thus, the work requires great strength and is quite hazardous to the back, hands, and feet.

Thus Real Alternative requires RealPlayer to be installed ( or at least its DLLs ) in order to function.

Thus, the basis of morality is strong moral character, which requires self-reliance and self-discipline.

Thus an eye care professional, having determined that a myopic ( nearsighted ) person requires a basic correction of, say, − 2 dioptres to restore normal distance vision, might then make a further prescription of ' add 1 ' for reading, to make up for lack of accommodation ( ability to alter focus ).

Thus, a neutral point of view requires testing measures consensual to anyone expected to believe the results.

Thus, any real approach to modeling landscapes requires the ability to modulate fractal behaviour spatially.

Thus compatibility with data in the old format may need to be kept when switching to a different format, even when decoding from ( as with many MPEG formats ), or distribution in ( as has at least been planned with H. 264 ) the old format requires paying royalties.

Thus, if one of the coordinates, say q < sub > k </ sub >, does not appear in the Lagrangian, the right-hand side of the equation is zero, and the left-hand side requires that

Thus, attempts to define electrochemical potential in this way cannot lead to the kind of universal parameter that thermodynamics ideally requires.

Thus, lighting a larger area to the same level of lux requires a greater number of lumens.

Thus, x86 instructions that operate on the memory ( e. g., add this register to this location in the memory ) can only be processed by the general decoder, as this operation requires at a minimum of three micro-ops.

Thus, large stitches can be made with large needles, whereas fine knitting requires fine needles.

Thus, the sustainable management requires finding out what business activities fit into the Earth ’ s carrying capacity, and also defining the optimal levels of those activities.

Thus usually requires the rider to be pedalling, but some systems have been developed with the freewheel in the crankset so that the chain moves even when the rider is not pedalling.

Thus, on an additive white Gaussian noise ( AWGN ) channel without interference, a spread system requires the same transmitter power as an unspread system, all other things being equal.

Thus using a computer in the digital production of caricatures requires advanced knowledge of the program's functionality.