Since the algorithm ensures that the remainders decrease steadily with every step, r < sub > k − 1 </ sub > is less than its predecessor r < sub > k − 2 </ sub >.

Since 1993, a foundation ensures the conservation as well as the highlighting of the building and the collection.

Since the name " Georges Perec " is full of " e " s, the disappearance of the letter also ensures the author's own " disappearance ".

Since 2001, all jurisdictions ( except Quebec ) have agreed to and signed, the Mutual Recognition Agreement among Opticianry Regulators that ensures labour mobility to all opticians across the entire nation without need for further examination.

Since 1990, the Indian rhino European Endangered Species Programme is being coordinated there as well, which ensures that the captive global Indian rhinoceros population stays genetically as healthy as possible.

Since the belt is in contact with the tape, this ensures both that the tape moves at uniform speed, and that neutral tension is maintained at all times.

Since the format also awards equal points for all questions, it ensures that the team answering the maximum questions wins, irrespective of whether the questions were direct ( asked directly to the team ) or passed ( passed on from another team due to their inability to answer correctly ).

Since broadcast frequencies are very limited in number, these objectives are to some extent inconsistent in that not all of them can be fully realized, and to the extent that each is realized, there is a corresponding reduction of the possibilities for fullest achievement of the others.

Since the choice is by lot each week, the outcomes of different trials are independent.

Since C is rational, this correspondence has K coincidences, each of which implies a line of the pencil which meets its image.

Since none of these glimpses of poetizing without writing is intended to incorporate a signature into the epic matter, there is prima-facie evidence that Beowulf and the Homeric poems each derive from an oral tradition.

Since 1927, fewer than a dozen men have made serious runs at Babe Ruth's record and each, in turn, has been thwarted.

Since conference and of the Food and Agriculture Organization's publication World Festival of Trees, and a resolution of the United Nations in 1954: " The Conference, recognising the need of arousing mass consciousness of the aesthetic, physical and economic value of trees, recommends a World Festival of Trees to be celebrated annually in each member country on a date suited to local conditions "; it has been adopted by the Netherlands.

Since the implementation of the Statute of Westminster 1931 in each of the Commonwealth realms ( on successive dates from 1931 onwards ), the Act of Settlement cannot be altered in any realm except by that realm's own parliament and, by convention, only with the consent of all the other realms, as it touches on the succession to the shared throne.

Since it is the master that chooses which slave to address, whereas a slave is ( in theory ) supposed to listen in each receive slot, being a master is a lighter burden than being a slave.

Since 1980, each voter names three rookies: a first-place choice is given five points, a second-place choice three points, and a third-place choice one point.

Since 1992, badminton has been an Olympic sport with five events: men's and women's singles, men's and women's doubles, and mixed doubles, in which each pair consists of a man and a woman.

Since these two constructions are inverses of each other, we can say that every Boolean ring arises from a Boolean algebra, and vice versa.

Since many bowls look the same, coloured, adhesive stickers or labels are also used to mark the bowls of each team in bowls matches.

Since software can be designed using many different programming languages and in many different operating systems and operating environments, software standard is needed so that different software can understand and exchange information between each other.

Since the number of possible sounds in all of the world's languages is much greater than the number of letters in any one alphabet, linguists have devised systems such as the International Phonetic Alphabet ( IPA ) to assign a unique and unambiguous symbol to each attested consonant.

Since opposite charges attract via a simple electromagnetic force, the negatively charged electrons that are orbiting the nucleus and the positively charged protons in the nucleus attract each other.

Since each of the 64 Walsh codes are orthogonal to one another, the signals are channelized into 64 orthogonal signals.

Since only one note can be played at a time on each string, the fretting pattern is generally chosen so that notes which are rarely heard together ( such as C and C ) share a string pair.

Since each of these markets differ in their requirements for CPUs, the devices designed for one market are in most cases inappropriate for the other markets.

Since 1988's Dead Ringers, Cronenberg has worked with cinematographer Peter Suschitzky on each of his films ( see List of noted film director and cinematographer collaborations ).

Since the Somalis were one main ethnic group, they could only elect a single candidate and the two main fractions of that tribe in Djibouti, the Issa and the Gadabuursi each strove to win.

Since the 14th century, each century has produced artists who have created great drawings.

Since each element of X belongs to a unique cell of any partition of X, and since each cell of the partition is identical to an equivalence class of X by ~, each element of X belongs to a unique equivalence class of X by ~.

Since the energy levels of electrons in atoms are discrete, each element and each molecule emits and absorbs its own characteristic frequencies.

Since attack serves to stimulate interest in broadcasts, I added to my opening statement a sentence in which I claimed that German youth seemed to lack the enthusiasm which is a necessary ingredient of anger, and might be classified as uninterested and bored rather than angry.

Since it is physically impossible for any Swedish town to face Jumne, the latter being situated along River Oder, Adam's statement is probably a misunderstanding.

Since history and memory ( representations of or belief about the past ) are distinct in all philosophy and ontology from plan, vision or intent ( representations of or will to change the future ), statements that confuse these are category errors: No statement about history or memory can imply a similar statement about a plan or vision or intent, nor vice versa-a distinction sometimes credited to Hume who distinguished also the morality of a statement from its truth.

" Since the statement is a sūtra, it is necessarily compressed and what the ropes produce is not elaborated on, but the context clearly implies the square areas constructed on their lengths, and would have been explained so by the teacher to the student.

Since said premise describes the objects ; red and number, anyone with an adequate understanding of English would notice the falseness of such description and the falseness of said statement.

Since there is no one Orthodox body, there is no one canonical statement of principles of faith.

Since there is a one-to-one correspondence between Borel regular measures in the interval and functions of bounded variation ( that assigns to each function of bounded variation the corresponding Lebesgue-Stieltjes measure, and the integral with respect to the Lebesgue-Stieltjes measure agrees with the Riemann-Stieltjes integral for continuous functions ), the above stated theorem generalizes the original statement of F. Riesz.

Since the dawn of computing, the sorting problem has attracted a great deal of research, perhaps due to the complexity of solving it efficiently despite its simple, familiar statement.

Since most physicists would consider the statement of the underlying rules to suffice as the definition of a " theory of everything ", most physicists argue that Gödel's Theorem does not mean that a ToE cannot exist.

Since then, it has come to be considered a major statement on human rights, particularly its second sentence:

Since 1930, Fundamentalism has not been an organized movement, and has not had a national body or official statement of beliefs.

Since the parsing algorithm makes intelligent use of layout ( indentation ), there is rarely a need for bracketing statements and no statement terminators are required.

Since the court case, GlaxoSmithKline has issued a statement on its official Ribena website ;

Since 1999 each bank has also been required to submit to an annual audit by an external accounting firm, which produces a confidential report to the bank and a summary statement for the bank's annual report.

" Since " self " arises in the first place merely as a delusive figment of the mind, and is then attributed by the mind to " the five aggregates of clinging or one of them ," a statement that mental analysis finds no " self " in any of its objects is, given the fact that the mind is the only means there is of investigating anything at all, equivalent to a complete denial of the " self " concept.

Since its first publication, Marxist scholars have found the work particularly valuable since it is perhaps the most comprehensive statement of Marx's theory of history stated at such length and detail.

In a statement issued to the Iranian people from her parents ' home in Germany, Soraya said, " Since His Imperial Majesty Reza Shah Pahlavi has deemed it necessary that a successor to the throne must be of direct descent in the male line from generation to generation to generation, I will with my deepest regret in the interest of the future of the State and of the welfare of the people in accordance with the desire of His Majesty the Emperor sacrifice my own happiness, and I will declare my consent to a separation from His Imperial Majesty.

Since this forms the last line of the income statement, it is informally called " bottom line.

Since ASAM released its statement, and shortly before its release, additional new studies have come out on Internet addiction ( which include Internet pornography use ).

Since this statement, however, Namco Bandai has sold 80 % of Monolith Soft's shares to Nintendo.

In the same statement, Tatchell added: " Since his election, Simon has redeemed himself by voting for gay equality.

Prachanda's statement revives the rebels ' demand for an end to monarchic rule in favor of a " people's republic ", stating, " Since the old regime has put an end to the forward-looking solution to all existing problems through the cease-fire and peace talks, we herein declare that the rationale behind cease-fire ... and peace process has ended.