Thus, on the highroad, a troop of soldiers `` marched in their own dust and sang '', while on the footpath one man walks alone.

Thus while his theory or technique may not be oversubscribed, it is commonplace for bullish and bearish positions to become temporarily over-subscribed.

Thus, while it remains possible that the Babylonians and/or the Pythagoreans may perhaps have had the magic square of three before the Chinese did, more definite evidence will have to turn up from the Middle East or the Classical World before China can lose her claim to the earliest known magic square by more than a thousand years.

Thus `` America '', the most widely sung of the patriotic songs, was written by a New England Baptist clergyman, Samuel Francis Smith ( 1808-1895 ), while a student in Andover Theological Seminary.

Thus, while altruistic persons may under some circumstances be outcompeted by less altruistic persons at the individual level, according to group selection theory the opposite may occur at the group level where groups consisting of the more altruistic persons may outcompete groups consisting of the less altruistic persons.

Thus, a Rabbi, a Catholic priest, and an agnostic might agree that, in this particular case, the best approach is to withhold extraordinary medical care, while disagreeing on the reasons that support their individual positions.

Thus, according to the character Pausanias in Plato's Symposium, Aphrodite is two goddesses, one older while the other younger.

Thus while among his own colleagues he seemed merely a hypocritical and arrogant priest, in his relations with his brother humanists, such as Cosimo de ' Medici, he appeared as the student of classical antiquities and especially of Greek theological authors ".

Thus while Persian-speakers were concentrated on the lower rungs of the work force, managers tended to be brought in from some distance.

Thus while Athens was increasing her navy with the funds they contributed, a revolt always found itself without enough resources or experienced leaders for war.

Thus, on January 16, 1997, the Diamondbacks were officially voted into the National League while their expansion counterparts in Tampa Bay were voted into the American League.

Thus the use of abeyance provided the security of a settlement for the pro-life campus club, while preserving the student society's voting membership's ability to take the matter back to court should they choose in the future to deny resources to the club.

Thus, oil paint is said to be " oil-based ", while acrylic paint is " water-based " ( or sometimes " water-borne ").

Thus, an outdoors utility knife suited for camping or hunting might use a broad three to five-inch fixed blade, while a utility knife designed for the construction industry might feature a replaceable utility or razor blade for cutting packaging, cutting shingles, marking cut lines, or scraping paint.

Thus, while the book exhibits considerable unity and probably reflects much of the historic Ezekiel, it is the product of a long and complex history and does not necessarily preserve the very words of the prophet.

Thus while bumblebees have been found to be about ten times more efficient pollinators on cucurbits, the total efficiency of a colony of honey bees is much greater due to greater numbers.

Thus natural languages are mainly oral, while Blissymbols is just a writing system dealing with semantics, not phonetics.

Thus one finds brass instruments made of wood, like the alphorn, the cornett, the serpent and the didgeridoo, while some woodwind instruments are made of brass, like the saxophone.

Thus, while Nozick's side-constraints are absolute restrictions on behavior, Amartya Sen proposes a theory that recognizes the importance of certain rules, but these rules are not absolute.

Thus sodium carbonate is basic, sodium bicarbonate is weakly basic, while carbon dioxide itself is a weak acid.

Thus, Leibniz ' argument is in esse, while Aquinas ' argument is both in fieri and in esse.

Thus the concept ' computable ' is in a certain definite sense ' absolute ', while practically all other familiar metamathematical concepts ( e. g. provable, definable, etc.

) Thus the alveolar click sounds something like a cork pulled from a bottle ( a low-pitch pop ), at least in Xhosa ; while the dental click is like English tsk!

Thus a 2 × 2 matrix with determinant − 2, when applied to a region of the plane with finite area, will transform that region into one with twice the area, while reversing its orientation.

Thus, the alignment of the `` dots '' and `` tips '', respectively, indicate individual variability of the 21 growth centers of each child with respect to the mean values for these boys and girls.

Thus his persistence values for some stem frequencies per meaning are: stem identical in 8 languages, 100% ; ;

Thus aesthetic judgments might be seen to be based on the senses, emotions, intellectual opinions, will, desires, culture, preferences, values, subconscious behavior, conscious decision, training, instinct, sociological institutions, or some complex combination of these, depending on exactly which theory one employs.

Thus, human beings, through their own consciousness, create their own values and determine a meaning to their life.

Thus understood, Fascism is totalitarian, and the Fascist State — a synthesis and a unit inclusive of all values — interprets, develops, and potentiates the whole life of a people.

Thus, single-digit hash values are frequently restricted to 80 % of the size of the table.

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

This wilful destruction of values and the overcoming of the condition of nihilism by the constructing of new meaning, this active nihilism, could be related to what Nietzsche elsewhere calls a ' free spirit ' or the Übermensch from Thus Spoke Zarathustra and the Antichrist, the model of the strong individual who posits his own values and lives his life as if it were his own work of art.

Thus the welfare analysis of oligopolies is sensitive to the parameter values used to define the market's structure.

Thus studies of different populations using the same contraceptive will yield different values for the index.

Thus, functions can be assigned as values to variables or passed as arguments to functions.

Thus Tantra, especially in its nondual forms, rejected the renunciant values of Patañjalian yoga, offering instead a vision of the whole of reality as the self-expression of a single, free and blissful Divine Consciousness under whatever name, whether Śiva or Buddha-nature.

Thus the variance is a measure of the amount of variation of the values of that variable, taking account of all possible values and their probabilities or weightings ( not just the extremes which give the range ).

Thus for example atomic processes that are observed as rates, will necessarily be adjusted in a way consistent with relativity, while those involving the measurement of energy and momentum, which themselves form a relativistic vector, will undergo parallel adjustment which preserves the relativistic covariance of the observed values.

Thus it is commonly used in image processing, where the SNR of an image is usually calculated as the ratio of the mean pixel value to the standard deviation of the pixel values over a given neighborhood.

( Thus producing the numeric values 3, 6 and 9, respectively.

Thus, sex education may also be described as " sexuality education ", which means that it encompasses education about all aspects of sexuality, including information about family planning, reproduction ( fertilization, conception and development of the embryo and fetus, through to childbirth ), plus information about all aspects of one's sexuality including: body image, sexual orientation, sexual pleasure, values, decision making, communication, dating, relationships, sexually transmitted infections ( STIs ) and how to avoid them, and birth control methods.

Thus the Fourier coefficients are just the values of the Fourier transform sampled on a grid of width 1 / T.

He claimed that on top of individual exploitation, the capitalist also unjustly appropriates the additional value ( termed “ collective force ”) produced by co-operative activity as a “ force of one thousand men working twenty days has been paid the same wages that one would be paid for working fifty-five years ; but this force of one thousand has done in twenty days what a single man could not have accomplished, though he had laboured for a million centuries .” Thus the capitalist may have “ paid all the individual forces ” but “ the collective force still remains to be paid ” and which the capitalists “ enjoy unjustly .” Other notable anti-capitalist thinkers claim that the elite maintain wage slavery and a divided working class through their influence over the media and entertainment industry, educational institutions, unjust laws, nationalist and corporate propaganda, pressures and incentives to internalize values serviceable to the power structure, state violence, fear of unemployment and a historical legacy of exploitation and profit accumulation / transfer under prior systems, which shaped the development of economic theory:

Thus, in order to simply flip through the possible values for a 128-bit symmetric key ( ignoring doing the actual computing to check it ) would theoretically require 2 < sup > 128 </ sup > − 1 bit flips on a conventional processor.

Thus to find the median, order the list according to its elements ' magnitude and then repeatedly remove the pair consisting of the highest and lowest values until either one or two values are left.