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, 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.

Thus at Mobile the annual mean is 67 ° F ( 19 ° C ), the mean for the summer 81 ° F ( 27 ° C ), and for the winter 52 ° F ( 11 ° C ); and at Valley Head, in De Kalb county, the annual mean is 59 ° F ( 15 ° C ), the mean for the summer 75 ° F ( 24 ° C ), and for the winter 41 ° F ( 5 ° C ).

Thus, all the antiderivatives of x < sup > 2 </ sup > can be obtained by changing the value of C in F ( x ) = ( x < sup > 3 </ sup >/ 3 ) + C ; where C is an arbitrary constant known as the constant of integration.

By a theorem of Gelfand and Naimark, given a B * algebra A there exists a Hilbert space H and an isometric *- homomorphism from A into the algebra B ( H ) of all bounded linear operators on H. Thus every B * algebra is isometrically *- isomorphic to a C *- algebra.

Thus, the molecular formula of ethanol may be written in a paper in conformational, three-dimensional, full two-dimensional ( indicating every bond with no three-dimensional directions ), compressed two-dimensional ( CH < sub > 3 </ sub >– CH < sub > 2 </ sub >– OH ), separating the functional group from another part of the molecule ( C < sub > 2 </ sub > H < sub > 5 </ sub > OH ), or by its atomic constituents ( C < sub > 2 </ sub > H < sub > 6 </ sub > O ), according to what is discussed.

Thus, middle C would be heard as the note B < sub > 3 </ sub > just below it, and so on.

Thus, it might be used to challenge the sharp distinction made in U. S. v. E. C. Knight ( 1895 ) between commerce, which was subject to federal regulation, and manufacturing, which was not.

Thus it is 1 volt ( 1 joule per coulomb, 1 J / C ) multiplied by the electron charge ( 1 e, or ).

Thus, at 15 ° C the volume of gas produced by the explosive decomposition of one mole of nitroglycerin becomes

Thus, while he recognised the benefits of citrus fruit ( although he weakened the effect by switching to a boiled concentrated or " rob ", the production of which unfortunately destroyed the vitamin C ), he never advocated citrus juice as a single solution.

Thus C has been called both strongly typed and weakly, statically typed.

Thus, for example, MOVEI A, 3 ( C ) adds 3 to the 18 lower bits of register C and puts the result in register A, without touching memory.

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

Thus, he implicitly emphasized that it is God-made (" God has joined together "), " male and female ," lifelong (" let no one separate "), and monogamous (" a man ... his wife ").

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 ").

Thus on February 10, 1885, convinced that these were the descendants of the Lost Colony, he helped to pass the " Croatan bill ", that officially designated the Native American population around Robeson county as Croatan.

Thus, the Lost Galaxy season serves as something of a transitional series and also a unique one in Power Rangers history.

Thus ( according to Bradshaw's BookWorld Companion ) ' Courier Bold is the traditional language of those in the support industries such as within the Well of Lost Plots, and Lorem Ipsum is the gutter slang of the underworld-useful to have a few phrases in case you get into trouble in Horror or Noir '.

Thus begins Shion's journey to Lost Jerusalem, wherein humanity's collective consciousness awaits guidance and salvation.

Thus, over time, the expression " a cappella " ( Italian for " in the manner of the chapel ") came to mean exclusively vocal music in contradistinction to the spreading use of the organ in cathedrals.

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 we can conceive of a “ noumenal ” world ( noumenal meaning " object of thought ") which exists only as a heuristic for our cognitive capacities and not as something directly accessible to experience.

Thus, in the beginning of the 18th century, a French travel writer, the Baron de Lahontan, who had actually lived among the Huron Indians, put potentially dangerously radical Deist and egalitarian arguments in the mouth of a Canadian Indian, Adario, who was perhaps the most striking and significant figure of the " good " ( or " noble ") savage, as we understand it now, to make his appearance on the historical stage: Adario sings the praises of Natural Religion.

Thus, civil broadcast standards for time and frequency usually follow TAI closely, but occasionally change discontinuously ( or " leap ") in order to prevent them from drifting too far from mean solar time.

Thus Rambling Syd Rumpo may say " Green grows the grunge on my Lady's posset ", making it difficult to approach the murder scene in Macbeth ( Lady Macbeth: " I have drugged their possets ") with the seriousness it deserved.

Thus, permittivity relates to a material's ability to transmit ( or " permit ") an electric field.

" Thus the name " Ruhr " was given to the region ( as a short form of " Ruhr District " or " Ruhr Valley ") only a few years before the publication of this edition of the Encyclopaedia Britannica.

Thus, he thought the root of the word was " wit " ( formerly spelt " wyt " or " wytte ") and Pentecost was so-called to signify the outpouring of the wisdom of the Holy Ghost on Christ's disciples.

Thus, what happens physically is that the energy level of the bottom of the conduction band of body " A " ( and, hence, the whole band structure of body " A ") moves up in energy, relative to the Fermi level of the Earth, as the temperature of body " A " increases.

Thus, in veterinary terminology, the ears would be cranial to ( i. e., " toward the head from ") the shoulders in the armadillo, the dog, the kangaroo, or any other vertebrate, including the human.

Thus, each national authority ( for France, the National Commission of Data Processing and Freedoms or " CNIL ") is in charge of the control of the national part of SIS.

Thus, if the triangle is red, then the (" triangle ", " red ") pair will be in the function, but the pair (" yellow triangle ", " red ") is not.

Thus, can be calculated as the ratio of the volume of the oxygen taken up by the lung divided by the oxygen gradient between the alveoli (" A ") and the pulmonary artery (" a ").

Thus for example chapter 1 is read in a medieval tower, chapter 2 in a classroom of the Faculty of Languages, chapter 3 in a bookshop on the waterfront, chapter 9 in the University Library, and chapter 12 (" Cyclops ") in an old pub.