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Page "Rational trigonometry" ¶ 5
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Similarly and sum
Similarly their sum of bad deeds will be mirrored in their next life.
Similarly, and mean that the sum or product is over all prime powers with strictly positive exponent ( so 1 is not counted ):
Similarly, if light consisted strictly of classical particles and we illuminated two parallel slits, the expected pattern on the screen would simply be the sum of the two single-slit patterns.
Similarly, the opportunity cost of attending university is the lost wages a student could have earned in the workforce, rather than the cost of tuition, books, and other requisite items ( whose sum makes up the total cost of attendance ).
Similarly, environmental systems may react in a non-linear way to perturbations, such as climate change, so that the outcome may be greater than the sum of the individual component alterations.
Similarly, as seen above, the Fourier transform can be thought of as a function that measures how much of each individual frequency is present in our function ƒ, and we can recombine these waves by using an integral ( or " continuous sum ") to reproduce the original function.
Similarly one can show that the difference between two pseudovectors is a pseudovector, that the sum or difference of two polar vectors is a polar vector, that multiplying a polar vector by any real number yields another polar vector, and that multiplying a pseudovector by any real number yields another pseudovector.
Similarly, the trace equals the sum of the eigenvalues.
Similarly they are affinely dependent if in addition the sum of coefficients is zero:
Similarly, in the case of the zeta function, the M-test justifies interchanging the integral along the closed curve and the sum.
Similarly, the magnetic moment of a bar magnet is the sum of the intrinsic and orbital magnetic moments of the unpaired electrons of the magnet's material.
* Similarly, a convex combination of probability distributions is a weighted sum ( where satisfy the same constraints as above ) of its component probability distributions, with probability density function:
Similarly, when a revival of the persecutions took place in 1891, another meeting was held at the Guildhall, and a further sum of over £ 100, 000 was collected and devoted to facilitating the westward movement of the Russian exodus.
Similarly, the total stress will be the sum of the stress in each component:
Similarly, for the sequence b < sub > k </ sub > = 2 < sup > k </ sup >, for every irrational a, and almost all x, there exists a function ƒ for which the sum diverges.

Similarly and two
Similarly, a girl who graduates with a good working knowledge of stenography and the use of clerical machines and who is able to get a job at once may wish to improve her skill and knowledge by a year or two of further study in a community college or secretarial school.
Similarly, the subset order ⊆ on the subsets of any given set is antisymmetric: given two sets A and B, if every element in A also is in B and every element in B is also in A, then A and B must contain all the same elements and therefore be equal:
Similarly, the third and fourth rows are shifted by offsets of two and three respectively.
Similarly, in Gregory Keyes ' series The Age of Unreason, " aetherschriebers " use two halves of a single " chime " to communicate, aided by scientific alchemy.
Similarly, thermocouples use the Peltier-Seebeck effect to measure the temperature difference between two points.
Similarly, an overdriven transistor amplifier can take on the characteristics of a controlled switch having essentially two levels of output.
Similarly, release print stocks usually are available only in two varieties: a " normal " print or a deluxe print ( on more-costly print film like Kodak Vision Premiere ) with slightly greater saturation and contrast.
The geometric mean of two numbers, a and b, is the length of one side of a square whose area is equal to the area of a rectangle with sides of lengths a and b. Similarly, the geometric mean of three numbers, a, b, and c, is the length of one side of a cube whose volume is the same as that of a cuboid with sides whose lengths are equal to the three given numbers.
Similarly, if one connects two electrical resistors in parallel, one having resistance x ( e. g. 60Ω ) and one having resistance y ( e. g. 40Ω ), then the effect is the same as if one had used two resistors with the same resistance, both equal to the harmonic mean of x and y ( 48Ω ): the equivalent resistance in either case is 24Ω ( one-half of the harmonic mean ).
Similarly, a city has three parts – Socrates uses the parable of the chariot to illustrate his point: a chariot works as a whole because the two horses ’ power is directed by the charioteer.
Similarly, the Talmud ( Berakhoth 61. a ) states that one of the two kidneys counsels what is good, and the other evil.
" Similarly, when two options are presented, they are often, though not always, two extreme points on some spectrum of possibilities ; this can lend credence to the larger argument by giving the impression that the options are mutually exclusive, even though they need not be.
Similarly, for any semi-normed vector space we can define the distance between two vectors u and v as ‖ u − v ‖.
Similarly, we have that NC is equivalent to the problems solvable on an alternating Turing machine restricted to at most two options at each step with space and alternations.
Similarly, can be used both to append two lists ( given lists and ) as well as to split a given list into parts (, given a list ).
Similarly, after earning two misses at a height, they could pass to the next height where they would have only one attempt.
Similarly, neither East Berlin nor West Berlin regarded their half as a priority area for redevelopment, seeking instead to distance themselves from the traditional heart of the city and develop two new centres for themselves, well away from the troubled border zone.
Similarly, the first bicycles with two wheels of equal size were called " safety bicycles " because they were easier to handle than the then-dominant style that had one large wheel and one small wheel, which then became known as an " ordinary " bicycle.
Similarly, Type IIT restriction enzymes ( e. g., Bpu10I and BslI ) are composed of two different subunits.
Similarly, two random variables are independent if the conditional probability distribution of either given the observed value of the other is the same as if the other's value had not been observed.
Similarly, Belgium took no direct influence from the Statute or English copyright theory, but Joris Deene of the University of Ghent identifies an indirect influence " at two levels "; the criteria for what constitutes copyrightable material, which comes from the work of English theorists such as Locke and Edward Young, and the underlying justification of copyright law.

Similarly and lengths
They remained diverse during the later Mesozoic, when crocodyliforms such as Deinosuchus and Sarcosuchus reached lengths of 12 m. Similarly large crocodilians, such as Mourasuchus and Purussaurus, were present as recently as the Miocene in South America.
Similarly, each melodic passage centers on a single tone level, but the melodic contour and melodic passages are largely shaped by the reading rules, creating passages of different lengths whose temporal expansion is defined through caesuras.
Similarly, only a finite number of lengths of struts will ever be manufactured, and a green strut cannot be placed directly adjacent to a red strut or another green strut with which it shares the same hole ( even though they are mathematically distinct ).

Similarly and rotations
Similarly, SO ( n ) is a subgroup of SO ( n + 1 ); and any special orthogonal matrix can be generated by Givens plane rotations using an analogous procedure.
Similarly, three degrees of freedom correspond to rotations of the molecule about the,, and-axes.
Similarly, sprite " rotations " have to be handled through pre-drawing unless they are done with hardware included in the game cartridge such as the Super FX 2 chip as with Super Mario World 2: Yoshi's Island.

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