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Because the result of scaling by whole numbers can be thought of as consisting of some number of copies of the original, whole-number products greater than 1 can be computed by repeated addition ; for example, 3 multiplied by 4 ( often said as " 3 times 4 ") can be calculated by adding 4 copies of 3 together:
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Because and result
Because the rake angle Af at the tip of the knife is very much smaller ( or even negative ) when compared to the value of **yc for the major portion of the knife, a very rapid increase in cutting force with thickness will result.
Because there is no canonical well-ordering of all sets, a construction that relies on a well-ordering may not produce a canonical result, even if a canonical result is desired ( as is often the case in category theory ).
Because and can be very similar numbers, the precision of the result can be much less than the inherent precision of the floating-point arithmetic used to perform the computation.
Because the result of performing the operation on a pair of elements of S is again an element of S, the operation is called a closed binary operation on S ( or sometimes expressed as having the property of closure ).
Because of the rivalry between Chiang and Li, Chiang refused to allow Nationalist troops loyal to him to aid in the defense of Guangxi and Guangdong, with the result that Communist forces occupied Guangdong in October 1949.
Because a three-dimensional object is represented on the two-dimensional screen, distortion and ambiguity result.
Because early humans that were quick to fear dangerous situations were more likely to survive and reproduce, preparedness is theorized to be a genetic effect that is the result of natural selection.
Because of this, they lack referential transparency, i. e. the same language expression can result in different values at different times depending on the state of the executing program.
Because deeper rock is often older, as noted by the principle of superposition, this can result in older rocks moving on top of younger ones.
Because algae consume large amounts of oxygen, it can result in dead zones for fish.
Because while re-evaluates the first result,
Because gcd ( a, b ) is a divisor of both a and b, the division is guaranteed to yield an integer, so the intermediate result can be stored in an integer.
* Compliance — Because the result is attained by the parties working together and is mutually agreeable, compliance with the mediated agreement is usually high.
Because of its cost and radioactivity, experimental chemical research is seldom performed with radon, and as a result there are very few reported compounds of radon, all either fluorides or oxides.
Because of the thinned array curse, such arrays of multiple apertures, when used in transmitters, result in narrow beams at the expense of reducing the total power transmitted to the target.
Because cells and more importantly the DNA can be damaged, this ionization can result in an increased chance of cancer, and thus " ionizing radiation " is somewhat artificially separated out of particle and electromagnetic radiation, simply due to its larger potential for biological damage per unit of energy.
Because of the expected retirement of the Space Shuttle fleet, the batteries and gyroscopes that keep the telescope pointed will eventually fail, which would result in its reentry and break-up in Earth's atmosphere.
Because of its tectonic origin, several faults scar the land ; as a result, the island is prone to earthquakes.
Because deadweight costs are related to the elasticity of supply and demand for a good, it follows that putting the highest tax rates on the goods for which there is most inelastic supply and demand will result in the least overall deadweight costs.
Because both lengths of dissimilar metals experience the same temperature gradient, the end result is a measurement of the difference in temperature between the thermocouple junction and the reference junction.
Because the processor has duplex hardware, one active side, and one standby side, a failure of one side of the processor will not necessarily result in a loss of switching.
Because of this backside attack, S < sub > N </ sub > 2 reactions result in a reversal of the configuration of the electrophile.
Because the city was situated on a low plain and, as a result, difficult to protect from attacks, the Zirid ruler decided to transfer his residence to the higher situated hamlet of Gárnata.
Because and scaling
Because of the nonlinear scaling of the axes, a function of the form will appear as a straight line on a log-log graph, in which b will be the slope of the line ( gradient ) and a will be the y value corresponding to x = 1.
Because and by
Because administration of the forest highway system is a responsibility of the Secretary of Commerce with maintenance provided by the States and counties, this Development Program for the National Forests does not include estimates of the funds needed to maintain the forest highway system nor to construct the additions to it that are needed.
Because the bobbin-to-cone winding process is a relatively high-cost operation for the mill, the almost complete automation provided by the Uniconer can mean important economies in textile production, at the same time upgrading quality.
Because of the unique design by the architect Egils Hermanovski, you can build most of it in your own home workshop in your spare time.
( Note: Because of light leakage from one ultraviolet source to another, the lights are switched by a commutator-like assembly rotated by a synchronous motor.
Because of its importance, and because the lack of price competition is well recognized, the industry is under considerable public pressure not to raise its price any more than could be justified by cost increases.
Because of undesirable flavors, odors, colors, and generally low palatability associated with radiation treatment of this magnitude, the inactivation of enzymes is best accomplished prior to irradiation by the conventional heat-processing methods of blanching.
Because Christianity teaches not only salvation in history, but salvation by the history of Christ, such an interpretation of death would require a drastic revision of the Christian understanding of the work of Christ.
Because he copiously shed his own tears, and yielded himself up as a living sacrifice to the impersonalized conscience of New England, he was not disturbed by the havoc he worked in other people's consciences.
Because of this Dr. Bonnor holds that the universe is becoming more thinly populated by stars and whatever else is there.
Because the clocks had been on average well above sea level, this meant that TAI slowed down, by about 10 < sup >− 12 </ sup >.
Because of independence, the decision whether to use of the axiom of choice ( or its negation ) in a proof cannot be made by appeal to other axioms of set theory.
Because of the quantum mechanical nature of the electrons around a nucleus, atomic orbitals can be uniquely defined by a set of integers known as quantum numbers.
Because virtually all extant written material on Arianism was written by its opponents, the nature of Arian teachings is difficult to define precisely today.
Because of this centrist position, and despite their rejection of Arius, they were called " semi-Arians " by their opponents.
Because of this, Octavius was raised by his grandmother ( and Julius Caesar's sister ), Julia Caesaris.
Because temperature is defined by the relationship between energy and entropy, such a system's temperature becomes negative, even though energy is being added.
Because there is no external pressure for the gas to expand against, the work done by or on the system is zero.
Because the beaks of giant squids have been found embedded within lumps of ambergris, scientists have theorised that the substance is produced by the whale's gastrointestinal tract to ease the passage of hard, sharp objects that the whale might have eaten.
Because Augustine cites part of the commentary on Romans as by " Sanctus Hilarius " it has been ascribed by various critics at different times to almost every known Hilary.
Because Ambrosius and Vortigern are shown in the Historia Brittonum as being in conflict, some historians have suspected that this preserves a historical core of the existence of two parties in opposition to one another, one headed by Ambrosius and the other by Vortigern.
Because of its elevation and distance from the coast, the Australian Capital Territory experiences four distinct seasons, unlike many other Australian cities whose climates are moderated by the sea.
Because of a change in balance, actions such as sitting, squatting, lunging or walking are often selected by the teacher.
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