Since then, many alternate proofs have been found out by various authors as collected in ().

Since B < sub > n </ sub >= 0 for all odd n > 1, and many formulas only involve even-index Bernoulli numbers, some authors write B < sub > n </ sub > instead of B < sub > 2n </ sub >.

Since no copy of the Ur-Hamlet has survived, however, it is impossible to compare its language and style with the known works of any of its putative authors.

Since therefore all that the inspired authors or sacred writers affirm should be regarded as affirmed by the Holy Spirit, we must acknowledge that the books of Scripture firmly, faithfully, and without error teach that truth which God, for the sake of our salvation, wished to see confided to the Sacred Scriptures.

Since that time many authors have emphasized a syncretic approach by drawing parallels between different disciplines.

Since this story was intended as a political polemic, credit for the first science fiction story is often given to later Bengali authors such as Jagadananda Roy, Hemlal Dutta and the polymath Jagadish Chandra Bose ( see Bengali science fiction ).

* Omission of the low-order bit of the divisor polynomial: Since the low-order bit is always 1, authors such as Philip Koopman represent polynomials with their high-order bit intact, but without the low-order bit ( the or 1 term ).

Since 2005, each issue of Nature has been accompanied by a Nature Podcast featuring highlights from the issue and interviews with the articles ' authors and the journalists covering the research.

Since the majority of these species have global distribution, some authors do not consider them to be Australian species.

Since he was interested, and since several of those authors ( like Jerry Pournelle, former columnist for Byte Magazine, for instance ) were very Internet savvy, he did.

Since the publication of the original books, several authors have used the Riverworld setting for their own stories.

Since Tiresias is both the greatest seer of the Classical mythos, a figure cursed by the gods, and both man and woman, he has been very useful to authors.

Since the word is found frequently in the Chilam Balam of Chumayel, regarded by some as indigenous writing not influenced by Christianity, some authors have proposed that the name was originally used for an indigenous Maya deity, which was later transferred to the Christian god but recent research has shown this to be unlikely.

Since its rediscovery by Europeans in the 19th century, the Popol Vuh has attracted the attention of many authors.

Since songwriting and publishing royalties can be a substantial source of income, particularly if a song becomes a hit record, legally, in the US, songs written after 1934 may only be copied by the authors.

Since 2006, Marvel has published a monthly Daily Bugle newspaper reporting on the company's publications and authors.

Since 2005 the archive has been housed in the Museo Vostell Malpartida and is available to art historians, journalists and authors.

Since the 1960s, some authors have introduced a new meaning for the less-current racialism: Black civil rights activist W. E. B.

Since the publication of Michell's book, the spiritualised version of the concept has been adopted by other authors and applied to landscapes in many places around the world.

Since he enjoyed writing and most of his income was derived from it, Denikin started to consider himself a writer and developed close friendships with several Russian émigré authors — among them Ivan Bunin ( a Nobel Laureate ), Ivan Shmelev, and Aleksandr Kuprin.

Since Leah was matriarch, Jewish scholars think the text's authors believed the tribe was part of the original Israelite confederation ; however, it is worthy of note that the tribe of Judah was not purely Israelite, but contained a large admixture of non-Israelites, with a number of Kenizzite groups, the Jerahmeelites, and the Kenites, merging into the tribe at various points.

Since cormorants and relatives are probably not actually Pelecaniformes, a solution adopted by some modern authors is to merge the " core " Pelecaniformes with the Ciconiiformes.

Since these conditions constitute an inherent element of the description of any phenomenon to which the term " physical reality " can be properly attached, we see that the argumentation of the mentioned authors does not justify their conclusion that quantum-mechanical description is essentially incomplete.

Since the 1950s, Latin has been used by 4 authors, Arabic by 2, and Old Nubian by 1, in the publication of various books of proverbs, dictionaries, and textbooks.

Since a fall or blow might have caused it, a cold pack was usually first aid.

Since the Protestant clergy for the most part wear gray or some variant from the wholly black suit, my Roman collar and black garb usually identify me in England as a Roman Catholic cleric.

The number of neutrons, N, is known as the neutron number of the atom ; thus, A = Z + N. Since protons and neutrons have approximately the same mass ( and the mass of the electrons is negligible for many purposes ), and the mass defect is usually very small compared to the mass, the atomic mass of an atom is roughly equal to A.

Since the difference between the U. S. and International acre is only about a quarter of the size of an A4 sheet of paper ( 0. 016 square metres, 160 square centimetres or 24. 8 square inches ), it is usually not important which one is being discussed.

Since the development of cannon, the word " artillery " in practice has largely meant cannon ; in contemporary usage it usually refers to shell-firing guns, howitzers, mortars, and rockets.

Since he has never confirmed this, the story is usually considered apocryphal.

Since there is no heir to inherit Elimelech's land, levirate custom required a close relative ( usually the dead man's brother ) to marry the widow of the deceased in order to continue his family line ( Deuteronomy 25: 5 – 10 ).

Since 21 April 2008, the overnight bulletins, while produced by the BBC News Channel, have usually been broadcast from the studios of BBC World News.

Since commercial signage usually has limited physical space, signage is normally in French alone.

Since several elements are gases at commonly encountered temperatures, their densities are usually stated for their gaseous forms ; when liquefied or solidified, the gaseous elements have densities similar to those of the other elements.

Since the consolidation of newspaper comics by the first quarter of the 20th century, most cartoonists have used a group of assistants ( with usually one of them credited ).

Since the end of Capoeira prohibition, knifes or razors are unlikely to come around the roda, so usually this toque is played only in some presentations.

Since the shorts were produced during the rise of film noir in cinema, the change was usually represented as a stylized sequence: Clark Kent's silhouette is clearly seen behind a closed door's pebble glass window ( or a shadow thrown across a wall ) as he strips to his Superman costume.

Since large bodies such as planets generally carry no net charge, the electric field at a distance is usually zero.

Since it is no longer used as an antimalarial, tonic water today contains much less quinine, is usually sweetened, and is consequently much less bitter.

Since in organic chemistry non-carbons usually are considered to replace carbon atoms, they are called heteroatoms, meaning ' different from carbon and hydrogen ' ( rings of heteroatoms of the same element are homocyclic ).

Since prince-episcopal sees were so influential, competing candidates usually ran for them.

Since independence was granted in 1963 relations have been usually amicable, both being part of the Commonwealth of Nations, a successor to the empire which aims to promote mutual co-operation, democracy and other cultural values and ties with each member state.

Since the Early Modern period, the title of knight is purely honorific, usually bestowed by a monarch, as in the British honours system, often for non-military service to the country.

Since the end of World War II, the Christian Social People's Party ( CSV ) has usually been the dominant partner in governing coalitions.

Since computer screen images usually have full white somewhere in the picture, the backlight will usually be at full intensity, making this " feature " mostly a marketing gimmick.

Since combat engineers with mine-clearing equipment can clear a path through a minefield relatively quickly, mines are usually considered effective only if covered by fire.

Since the gall bladder is similar to a small balloon that stores and releases bile, it can usually be removed from the abdomen by suctioning out the bile and then removing the deflated gallbladder through the 1 cm incision at the patient's navel.

Since all events are sets, they are usually written as sets ( e. g.