If a description of s, d ( s ), is of minimal length ( i. e. it uses the fewest number of characters ), it is called a minimal description of s. Thus, the length of d ( s ) ( i. e. the number of characters in the description ) is the Kolmogorov complexity of s, written K ( s ).

Thus, if P is a program in L < sub > 2 </ sub > which is a minimal description of s, then InterpretLanguage ( P ) returns the string s. The length of this description of s is the sum of

) Thus a set is completely determined by its elements ; the description is immaterial.

Thus, textbooks on aerodynamics use more complex models to provide a full description of lift.

Thus, despite ongoing research, a complete understanding of the causes of mental disability in Graves ’ disease awaits a full description of the effects on neural tissue of thyroid hormones, as well as of the underlying autoimmune process.

Thus, the essential description of a component actually comprises only in-and output that are described fully in terms of data types and their meaning ( semantics ).

Thus, the work exhibits progressive tonality ; as a result, a titular description in terms of a single key is not realistic, and is not found in serious works of reference.

Thus response burden is markedly reduced, accuracy is increased, product description is more specific and point of purchase data are obtained, facilitating the estimation of outlet-type weights.

Thus, for example, a WSDL description of a remote web service can be viewed as a form of reference ; it includes a complete specification of how to locate and bind to a particular web service.

" ) and the verse immediately below the one describing navel states ".... Your belly is a heap of wheat ...." Thus the description of the navel is placed textually in between the description of the curves of a woman through thigh and the stomach or midriff.

Thus, for example, the description " T1SR20E S13 MDM " reads as follows: Township 1 South, Range 20 East, Section 13, Mount Diablo Meridian.

Thus the reference would be determined as whatever fit the description.

Thus the view that the sense-reference distinction solves the problem of empty names encourages the view that a sense is an individuating description ( which could be understood with or without a reference satisfying it ).

Thus context is extremely important in understanding the intended meaning of " verismo ", as it is used both as a description of the gritty, passionate, working-class dramas that the term was coined to describe, and also as the musical movement in which the giovane scuola were participants.

Thus, for example, It's going to rain combines a present viewpoint of the situation with a description of the future.

" Setia concludes: " Thus it seems that for al-Razi ( and for others before and after him ), astronomical models, whatever their utility or lack thereof for ordering the heavens, are not founded on sound rational proofs, and so no intellectual commitment can be made to them insofar as description and explanation of celestial realities are concerned.

Thus, from the point of view of strict mathematical description, the thesis that everything is a computing system in this second sense cannot be supported ".

Thus the IDEF1 language was created to allow a neutral description of data structures that could be applied regardless of the storage method or file access method.

Thus we have a description of the twenty districts ( rostaqs ) of Isfahan containing details not found in other geographers ' works.

Thus, the term apparatchik, or " agent of the apparatus " was usually the best possible description of the person's profession and occupation.

Thus: kato " a cat ", katulo " a male cat ", katino " a female cat ".

Thus, the cat would be expected to have settled into a definite state long before the box is opened.

Thus, there is no such thing as a sentence, term, expression or word symbolically representing a single true meaning ; it is underspecified ( which cat sat on which mat?

Thus, a child born in the Chinese year of the rabbit was also born in the Vietnamese year of the cat ( mẹo / mão ).

Thus, specialists have agreed that Japanese nouns are noninflecting: 猫 neko can be translated as " cat ", " cats ", " a cat ", " the cat ", " some cats " and so forth, depending on context.

Thus, by the Middle Kingdom she came to be regarded as a domestic cat rather than a lioness.

The order of arguments to a command often matters – for example, < tt > cat a. log b. log </ tt > prints first < tt > a. log </ tt > and then < tt > b. log ,</ tt > while < tt > cat b. log a. log </ tt > prints first < tt > b. log </ tt > and then < tt > a. log .</ tt > Thus, while " filenames that match the pattern " is an ( unordered ) set, the actual expanded list of matching files is an ordered list, a sequence, and thus an order must be chosen, conventionally alphabetical order, however defined by the shell.

Only a cat that is homozygous recessive ( ww ) will express normal pigmentation. Thus, W is epistatic to the other coat pigmentation genes.

Thus the little girl told her mother, " Mother, this cat says that it is your meat that I am about to eat!

Thus a cat, having a mass 100 times that of a mouse, will have a metabolism roughly 31 times greater than that of a mouse.

Thus when a child draws a picture of a cat, they will always draw the same basic image, perhaps modified ( this cat has stripes that one has dots, for example ).

Thus, he is sent back to Earth ; now in the form of a young cat, but still able to remember his former life as a boy.

Thus, direct comparisons can be drawn with free burning arcs which have been studied in detail during the past years and decades by numerous investigators ( Ref. 3 ).

Thus, a low intensity of hypothalamic-cortical discharges prevails in sleep and a high one during wakefulness, resulting in synchronous EEG potentials in the former and asynchrony in the latter condition.

Thus, although the agenda of external assistance in the economic sphere are cumulative, and many of the policies suggested for nations in the earlier stages remain relevant, the basic purpose of American economic policy during the later stages of development should be to assure that movement into a stage of self-sustaining growth is not prevented by lack of foreign exchange.

Thus, during any given year ( A ) if the revenues from the residential service are $7,000,000, ( B ) if the operating expenses imputed to this class of service come to $5,000,000, and ( C ) if the net investment in ( or value of ) the plant and equipment deemed devoted to this service amounts to $30,000,000, the cost analyst will report that residential service, in the aggregate, has yielded a return of $2,000,000 or 6-2/3 per cent.

According to the Christian doctrine of Universal Reconciliation, the Greek New Testament scriptures use the word " eon " to mean a long period ( perhaps 1000 years ) and the word " eonian " to mean " during a long period "; Thus there was a time before the eons, and the eonian period is finite.

Thus, during the abdication crisis of 1936, caused by Edward VIII's desire to marry Wallis Simpson, the consent of all realms concerned, along with, in some cases, new acts of parliament, was required in Britain and throughout the British Dominions to allow for Edward's stepping aside and to ensure that if he had any children they would have no claim to the thrones.

Thus, three eclipse calculations may be evidence for the suggestion that Romulus reigned from 746 BC to 709 BC, and Rome was founded during 745 BC.

Thus a third style, the " curved lip " style was produced, and all official and third-party cartridges during the console's lifespan were released ( or re-released ) using this style.

Thus, Walsh modified the vertical passing scheme he had learned during his time with the Raiders, designing a horizontal passing system that relied on quick, short throws-often spreading the ball across the entire width of the field.

Thus, establishing rail as serious competitor to the car, particularly during the busy the summer months.

Thus, southern Germany once more became part of the Frankish kingdom, as had northern Germany during the first years of the reign.

Thus, several civilizations may come and go during the lifespan of one and the same planet.

Thus, churches actually had money-changing tables at which each coin would be examined separately and a token of actual worth given to the layperson so that he or she could be seen by the other parishioners as putting money in the basket during that part of the service.

Thus, for example, Odysseus is represented in Hecuba ( lines 131-32 ) as " agile-minded, sweet-talking, demos-pleasing " i. e. a type of the war-time demagogues that were active in Athens during the Peloponnesian War.

Thus, it is possible that I Corinthians was written during Paul's first ( brief ) stay in Ephesus, at the end of his Second Journey, usually dated to early 54 AD.

Thus, during the 1960s and early 1970s, Portuguese development plans promoting strong economic growth and effective socioeconomic policies, like those applied by the Portuguese in the other two theaters of war ( Portuguese Angola and Portuguese Mozambique ), were not possible.

Thus began one of the most productive periods in Telemann's life: during his tenure at Eisenach he composed a wealth of instrumental music ( sonatas and concertos ), and numerous sacred works, which included four or five complete annual cycles of church cantatas, 50 German and Italian cantatas, and some 20 serenatas.

Thus, until relatively recently, the vast majority of people were educated by family members ( especially during early childhood ).

Thus, even when the Electors of Saxony were Catholics during the eighteenth century, they continued to preside over the corpus evangelicorum, since the state of Saxony was officially Protestant.

Thus, North India is kept warm or only mildly cooled during winter ; in summer, the same phenomenon makes India relatively hot.

Thus accounts such as that of the miraculous " Image Not Made by Hands ", and the weeping and moving " Mother of God of the Sign " of Novgorod are accepted as fact: " Church Tradition tells us, for example, of the existence of an Icon of the Savior during His lifetime ( the " Icon-Made-Without-Hands ") and of Icons of the Most-Holy Theotokos immediately after Him.

Thus, cloud ceiling and flight visibility are the most important variables for safe operations during all phases of flight.

Thus, Conservative Jewish practice would allow weddings during this time, except on the 9th of Av itself.

Thus late medieval Guilds of St Luke in the cities of Flanders, or the " Accademia di San Luca " ( Academy of St. Luke ) in Rome — imitated in many other European cities during the 16th century — gathered together and protected painters.