Thus, for example, the statement, " It is true that two plus two equals four ", contains no more information than the statement " two plus two equals four ", because the phrase " it is true that ..." is always implicitly there.

Thus, implicitly, the Constitution creates a Cabinet that includes the principal officers of the various departments.

Thus this kind of multilinearity implicitly expresses the fact that we're really dealing with a pointwise-defined object, i. e. a tensor field, as opposed to a function which, even when evaluated at a single point, depends on all the values of vector fields and 1-forms simultaneously.

Thus, even those concerned only with interactions among young siblings implicitly or explicitly acknowledge that all relationships change over time and that any effects of birth order may be eliminated, reinforced, or altered by later experiences.

Thus, modifying the data through one name implicitly modifies the values associated to all aliased names, which may not be expected by the programmer.

Thus the court that she assembled about her in Ferrara corresponded to the tradition which the cultivation of science and art implicitly required, including scholars like Bernardo Tasso and Fulvio Pellegrini.

Thus, the Roman Empire had several mystery religions which emphasized initiation.

Thus, while Shneur Zalman emphasized that Hasidism focus on traditional Jewish scholarship rather than on mysticism, he was emphatic that this must be done with zeal and joy.

Thus he emphasized the long-term conflict among industrialists in the Northeast, farmers in the Midwest, and planters in the South that he saw as the cause of the Civil War.

Thus, in modern colloquial European Portuguese, the classical paradigm above is modified to ( differences emphasized ):

Thus, a stronger sports club where gymnastics, wrestling, boxing, fencing and athletics were emphasized was formed.

Thus he was an anti-Normanist who stressed the Slavic origins of Rus ', put the emphasis upon internal discord as the primary reason for the fall of Kievan Rus ', and emphasized the native Ukrainian ethnic makeup and origins of the Ukrainian Cossacks.

Thus it seemed likely that public opinion regarding a solution to the federal budget deficit might be rather evenly split and would likely be more stable during the month of interviewing than would opinion on some of the other more dramatic issues being emphasized in news media coverage and political advertisements ".

Thus, missionaries and Gododala Christians traveled to neighboring villages and emphasized that these traditions and objects be banned and destroyed.

Thus, there is freshness not only in the individual movements of the dance but in the shape of their continuity as well.

Thus jazz is transmuted into something holy, the sacred road to integration of being.

Thus the fictional detective is much more than a simple businessman.

Thus the cocktail party would appear to be the ideal system, but there is one weakness.

Thus in both types attention is focused on the community itself, and its phenomenological life.

Thus, it is no mystical intuition, but an analyzable conception to say that man and his tradition can `` fall out of existence ''.

Thus human perception and human volition is the immanent cause of all social change and this most truly when the change reaches the civilizational level.

Thus, circular motion is itself one of the essential characteristics of completely perfect celestial existence.

Thus, in no ordinary sense of ' simplicity ' is the Ptolemaic theory simpler than the Copernican.

Thus Burns's `` My love is like a red, red rose '' and Hopkins' `` The thunder-purple sea-beach, plumed purple of Thunder '' although clearly intelligible in content, hardly present ideas of the sort with which we are here concerned.

Thus science is the savior of mankind, and in this respect Childhood's End only blueprints in greater detail the vision of the future which, though not always so directly stated, has nevertheless been present in the minds of most science-fiction writers.

Thus the copywriter in the world of the space merchants is the person who in earlier ages might have been a lyric poet, the person `` capable of putting together words that stir and move and sing ''.

Thus there is a clearer division of authority, administrative and legislative.

Thus, as a development program is being launched, commitments and obligations must be entered into in a given year which may exceed by twofold or threefold the expenditures to be made in that year.

Thus, the need for the B-70 as a strategic weapon system is doubtful.

Thus technical efficiency is achieved at the expense of actual experience.

Thus, there is an added incentive to stay on the job.

Thus, the Span of its ossification was shortened and the center's ability to `` catch up '' in ossification is demonstrated.

Thus T is not diagonalizable.

Thus Af is divisible by the minimal polynomial P of T, i.e., Af divides Af.

Thus, the study of the solutions to the equation Af is reduced to the study of the space of solutions of a differential equation of the form Af.

Thus in the three-dice example Af, Af, and the independence assumption imply that the probability that the three dice fall ace, not-ace, ace in that order is Af.

Thus we do not score the number of bull's-eyes, and the random variable is not the number of successes.

Thus if E is sufficiently small, there can be only one intersection of C and Af near Q, for if there were more than one intersection for every E then the difference between C and Af near Q would not be a monotone function.

Thus Af is also continuous at Af, and in a neighborhood of Af which does not contain a tangent point.

Thus, the name carries both an augmentative "- one " (" big ") and a diminutive "- cello " (" little ").

Thus C ' Mell (" The Ballad of Lost C ' Mell ") is cat-derived ; and D ' Joan (" The Dead Lady of Clown Town "), a Joan of Arc figure, is descended from dogs.

Thus, a piece of iron in its lowest energy state (" unmagnetized ") generally has little or no net magnetic field.

Thus in March 1979 Colonel Muammar Gaddafi, who kept absolute power ( until his overthrow in 2011 referred to as " Guide of the Revolution "), after ten years as combined Head of State and Head of government of the Libyan Jamahiriya (" state of the masses "), styled Chairman of the Revolutionary Command Council, formally transferred both qualities to the General secretaries of the General People's Congress ( comparable to a Speaker ) respectively to a Prime Minister, in political reality both were his creatures.

The name " Kach " (" Thus ") was inspired by the Irgun slogan " rak kach " (" only thus ").

Thus (" The Father of Greatness ", the highest Manichaean deity of Light ), in Middle Persian texts might either be translated literally as pīd ī wuzurgīh, or substituted with the name of the deity Zurwān.

Thus, competing browsers began to emulate (" cloak " or " spoof ") this string in order to also work with those sites.

Thus, Wicca in particular is sometimes referred to by its proponents as " The Old Religion ", a term popularised by Margaret Murray in the 1920s, while Germanic neopaganism is referred to in some of its varieties as Forn Sed (" Old Custom ").

Thus the Loyal Toast in the Channel Islands is La Reine, notre Duc (" The Queen, our Duke ").

McVeigh wore a printed T-shirt with the motto of the Commonwealth of Virginia, Sic semper tyrannis (" Thus always to tyrants ", which was shouted by John Wilkes Booth immediately after the assassination of Abraham Lincoln ) and " The tree of liberty must be refreshed from time to time with the blood of patriots and tyrants " ( from Thomas Jefferson ).

Another renowned part of the coronation was the lighting of a bundle of flax at the top of a gilded pole, which would flare brightly for a moment and then promptly extinguish, with the admonition Sic transit gloria mundi (" Thus passes worldly glory ").

Thus, the most famous and iconic expression of the Brazilian Carnival takes place in the Rio Carnival, with samba schools parading in the Sambadrome (" sambódromo " in Portuguese ).

The French word was derived from the Spanish embarazar, whose first recorded usage was in 1460 in Cancionero de Stúñiga ( Songbook of Stúñiga ) by Álvaro de Luna .< sup > 7 </ sup > The Spanish word likely comes from the Portuguese embaraçar, which probably is a combination of the prefix em-( from Latin in-for " in -") with baraça " a noose ", or " rope ", which makes sense with the synonym encinta (" on noose, on rope " because of the old usage of women to wear a strap of cloth on their dresses when pregnant ).< sup > 8 </ sup > Baraça originated before the Romans began their conquest of the Iberian Peninsula in 218 BCE .< sup > 9 </ sup > Thus, baraça could be related to the Celtic word barr, " tuft ".

Thus, today, the auks are no longer separated in their own suborder (" Alcae "), but are considered part of the Lari suborder which otherwise contains gulls and similar birds.

Thus the surname Petrić signifies little Petar, similar to Mac (" son of ") in Scottish & Irish, and O ' ( grandson of ) in Irish names.

Thus, the line deyr fé, deyja frændr (" cattle die, kinsmen die ") found in verses 76 and 77 of the Gestaþáttr can be shown to date to the 10th century, as it also occurs in the Hákonarmál by Eyvindr skáldaspillir.

(" Thus began a time of love and joy.

Thus this founding myth of Argos also asserts that Argos was the metropolis (" mother city ") of Mycenae.

Thus, despite the use of the long scale, one billion is called un milliard (" one milliard ") in French, and not mille millions (" one thousand million ").