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By and dividing
By dividing V2 / V1, we get: r
By dividing the Cenozoic Era into three ( arguably two ) periods ( Paleogene, Neogene, Quaternary ) instead of 7 epochs, the periods are more closely comparable to the duration of periods in the Mesozoic and Paleozoic eras.
By successively dividing out factors x − a, one sees that any polynomial with complex coefficients can be written as a constant ( its leading coefficient ) times a product of such polynomial factors of degree 1 ; as a consequence the number of ( complex ) roots counted with their multiplicities is exactly equal to the degree of the polynomial.
By dividing the Tertiary Period into two periods instead of five epochs, the periods are more closely comparable to the duration of ' periods ' in the Mesozoic and Paleozoic Eras.
By dividing Somalia's cities into specific quarters, the private sector has found a manageable method of providing cities with electricity.
By dividing the difference in y-coordinates by the difference in x-coordinates, one can obtain the slope of the line:
By dividing the board into smaller pieces, constructing tours on each piece, and patching the pieces together, one can construct tours on most rectangular boards in polynomial time.
By dividing the total sail area into only two sails, the individual sails of a sloop are larger than those of a similar sized cutter or yawl or ketch.
By dividing reservation lands into privately-owned parcels, legislators hoped to complete the assimilation process by forcing the deterioration of the communal lifestyle of the Native societies and imposing Western-oriented values of strengthening the nuclear family and values of economic dependency strictly within this small household unit.
By dividing chess programs into these two pieces, developers can write only the user interface, or only the engine, without needing to write both parts of the program.
By this point, not only was Licinius the official Augustus of the west, but he also possessed part of the eastern provinces as well, as the Hellespont and the Bosporus became the dividing line, with Licinius taking the European provinces and Daia taking the Asian.
By 1969 ELDO was beginning to realise that dividing work up by country led to not enough overall collaboration, with a disjointed framework of planning.
By dividing Caswell County into two squares – each side measuring approximately twenty ( 20 ) miles in length, the settlers formed two counties of each.
By further dividing the 72-54-54 triangles of the pentaflexagon into 36-54-90 right triangles produces one variation of the 10-sided decaflexagon ().
By timing the delay between the morse signal and the peak / null, then dividing by the known rotational rate of the station, the bearing of the station could be calculated.
By this time, Casella was dividing his time between Los Angeles and Boston.
By tracking the closing stock prices of twelve companies, adding up their stock prices, and dividing by twelve, Dow came up with his average.
* By dividing the lands of the Terra Mariana between the crusading order of Livonian Brothers of the Sword and the Church five principalities were created:
By the end of the third century, Emperor Diocleatian administratively reordered Tarraconesis, dividing it into three separate territories ( Tarraconensis, Carthaginensis and Callaecia ), the latter comprising the northern Portugal, Galizia and Austurias.
By contrast, species of the family Dendrocerotaceae may begin dividing within the spore, becoming multicellular and even photosynthetic before the spore germinates.
A spousal RRSP is a means of splitting income in retirement: By dividing investment properties between both spouses each spouse will receive half the income, and thus the marginal tax rate will be lower than if one spouse earned all of the income.
By the time comic books came of age in the 1940s, the huge volume of work demanded by publishers had encouraged an assembly-line process, dividing the creative process into distinct tasks: writer, penciller, letterer, inker, and colorist.
By dividing each column by its length, it can be seen that the result is equivalent to the special case where each column has length 1, in other words if e < sub > i </ sub > are unit vectors and M is the matrix having the e < sub > i </ sub > as columns then
By counting the number of lines that cross a certain segment of a stream, multiplying this by the contour interval, and dividing that quantity by the length of the stream segment you can determine the stream gradient.

By and act
By the end of the third act, the artist is dead but the body lingers on, a shell among other shells.
By a further act of 1541 — which was not repealed until 1845 — artificers, labourers, apprentices, servants and the like were forbidden to play bowls at any time except Christmas, and then only in their master's house and presence.
By this point, standing up and saying ' no ' to the Black Hand was a dangerous act.
By contrast, in civil law jurisdictions ( the legal tradition that prevails in, or is combined with common law in, Europe and most non-Islamic, non-common law countries ), courts lack authority to act where there is no statute, and judicial precedent is given less interpretive weight ( which means that a judge deciding a given case has more freedom to interpret the text of a statute independently, and less predictably ), and scholarly literature is given more.
By far the most successful Euro disco act was ABBA.
By extension, the word for carrying or drawing a beer came to mean the serving of the beer and, in some senses, the act of drinking, or a drink of beer itself, regardless of serving method.
By the time Bramah's beer pumps became popular, the use of the word draught to mean the act of serving beer was well established and transferred easily to beer served via the hand pumps.
By equalizing immigration policies, the act resulted in new immigration from non-European nations, which changed the ethnic make-up of the United States.
By January 1983, Men at Work had the top album and single in both the US and the UK-a feat never achieved previously by an Australian act.
By 1974, the scene's top act, Dr. Feelgood, was paving the way for others such as The Stranglers and Cock Sparrer that would play a role in the punk explosion.
By August 1996, the FDA had not taken action, and the consumer advocacy group Public Citizen filed a petition with the FDA, prompting the agency to act.
By December 1838, he had noted a similarity between the act of breeders selecting traits and a Malthusian Nature selecting among variants thrown up by " chance " so that " every part of newly acquired structure is fully practical and perfected ".
By ‘ extreme ’ utilitarian McCloskey is referring to what later came to be called ‘ act ’ utilitarianism.
By virtue of their high heat capacities, urban surfaces act as a giant reservoir of heat energy.
By the end of the century, at least a third of England's bishops also act as royal judges in secular matters.
* August 15 – By act of the U. S. Congress ( March 3 ), the Alabama Territory is created by splitting the Mississippi Territory in half, on the day the Mississippi constitution is drafted, four months before Mississippi became a State of the United States.
By this act, he creates a permanent schism between the Syrian Orthodox Church and the Eastern Orthodox Church.
* By an act of the Parliament of Great Britain, alien immigrants ( including Huguenots and Jews ) in the colonies receive British nationality.
By the time he was 21, his father's alcoholism threatened the reputation of the family act, so Keaton and his mother, Myra, left for New York, where Buster Keaton's career swiftly moved from vaudeville to film.
* Le Pétomane 1857-1945 a tribute to the unique act which shook and shattered the Moulin-Rouge ( 1967 ), By Jean Nohain and François Caradec-Publisher: Souvenir Press
By submitting one's freedom to someone else, this act removes the freedom of choice almost entirely.
By this definition, evil exists when good men fail to act.
By such considerations Dumezil thinks that the two terms refer in fact to two aspects of the same religious act:
By " performativity " Austin means that the ritual act itself achieves the stated goal.

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