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Page "Unit fraction" ¶ 27
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Similarly and defined
Similarly, the angle that a line makes with the horizontal can be defined by the formula
Similarly, in British law the phrase racial group means " any group of people who are defined by reference to their race, colour, nationality ( including citizenship ) or ethnic or national origin ".
Similarly, the limit superior of ( x < sub > n </ sub >) is defined by
Similarly, relative prudence is defined as absolute prudence, multiplied by the level of consumption.
Similarly, Percy Williams Bridgman is credited with the methodological position known as operationalism, which asserts that all observations are not only influenced, but necessarily defined by the means and assumptions used to measure them.
* Similarly, one could eliminate the candela as that is defined in terms of other physical quantities.
Similarly, a specific brick cannot be operationally defined by the process of making it, because that process is historical.
Similarly, in British law the phrase racial group means " any group of people who are defined by reference to their race, colour, nationality ( including citizenship ) or ethnic or national origin ".
Similarly, the right multiplication of a matrix A with a scalar λ is defined to be
Similarly to EBNF, MOF could be defined in MOF.
Similarly, the " species of partitions " can be defined by assigning to each finite set the set of all its partitions, and the " power set species " assigns to each finite set its power set.
Similarly, in classical first-order logic, one of the quantifiers can be defined in terms of the other and negation.
Similarly, Moseley has a well defined and established community spirit and ethos, exemplified by Moseley Neighbourhood Forum-a neighbourhood forum-that works to develop the area for the betterment of everyone.
Similarly, guidelines for diagnosing prolactin deficiency ( hypoprolactinemia ) are defined as prolatin levels below 3 µg / L in women, and 5 µg / L in men.
Similarly, the repunits base 2 are defined as
Similarly, it may be shown that this topology is defined intrinsically by sets of elements of the projective coordinate ring, by the same formula as above.
Similarly, the multiplicative group of adeles, called the group of ideles, is a locally compact group with respect to its topology defined below.
A Hopf subalgebra A is said to be right normal in a Hopf algebra H if it satisfies the condition of stability, for all h in H, where the right adjoint mapping is defined by for all a in A, h in H. Similarly, a Hopf subalgebra A is left normal in H if it is stable under the left adjoint mapping defined by.
Similarly, a survival event density function can be defined as
Then TA is defined to be the subtangent at P. Similarly, if normal to the curve at P intersects the x-axis at N then AN is called the subnormal.
Similarly, the angular momentum for a system of particles with linear momenta and distances from the rotation axis is defined
In this expression, ΔE is assumed to be very small, ΔE << E. Similarly, Σ ( E ) is defined to be the total volume of phase space where the energy is less than E:
Similarly, the set of true formulas of the standard model of second order arithmetic ( or n-th order arithmetic for any n ) can be defined by a formula in first-order ZFC.

Similarly and matrix
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.
This can only happen if Q is an m × n matrix with n ≤ m. Similarly, QQ < sup > T </ sup > = I says that the rows of Q are orthonormal, which requires n ≥ m.
Similarly, each diagonal element of a skew-symmetric matrix must be zero, since each is its own negative.
Similarly, a skew-symmetric matrix is determined by n ( n − 1 )/ 2 scalars ( the number of entries above the main diagonal ).
Similarly, the absence of a normal fibronectin matrix in developing amphibians causes defects in mesodermal patterning and inhibits gastrulation.
Similarly, one can write for a 4 × 4 matrix A:
Similarly, the QR decomposition expresses A as QR with Q a unitary matrix and R an upper triangular matrix.
Similarly, a system of equations is said to be in reduced row echelon form or canonical form if its augmented matrix is in reduced row echelon form.
Similarly, the matrix predicate in the second sentence is is at ; this predicate takes the two arguments The party and seven o ' clock.
Similarly, K < sub > 1 </ sub >( R ) is a modification of the group of units in a ring, using elementary matrix theory.
Similarly, for a rotation clockwise about the origin, the functional form is and and the matrix form is:
Similarly, the matrix values are not restricted to non-negative reals ( as they would be in the Euclidean distance matrix ) but rather can have negative values, zeros or imaginary numbers depending on the cost metric and specific use.
Similarly, the intrinsic inefficiency of the sample covariance matrix depends upon the Riemannian curvature of the space of positive-define matrices.
* Similarly, groups with property ( T ) can be used to construct finite sets of invertible matrices which can efficiently approximate any given invertible matrix, in the sense that every matrix can be approximated, to a high degree of accuracy, by a finite product of matrices in the list or their inverses, so that the number of matrices needed is proportional to the number of significant digits in the approximation.
Similarly, Japanese mathematicians were influenced by the counting rod numeral layout in their definition of the concept of a matrix.

Similarly and with
Similarly, on the regional channels many class 3, stations have been assigned either to operate daytime only or to operate nighttime with directional antennas and/or lower power.
Similarly, if the equivalents for the forms of a word do not vary, the equivalents need be entered only once with an indication that they apply to each form.
Similarly, the innovations of bop, and of Parker particularly, have been vastly overrated by people unfamiliar with music, especially by that ignoramus, the intellectual jitterbug, the jazz aficionado.
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, no one identifies themselves as Amur Valley Ainu, although people with partial descent can be found in Khabarovsk.
Similarly, Hindi-Urdu speakers might unconsciously apply their native ' v-w ' allophony rules to English words, pronouncing war as var or advance as adwance, which can result in intelligibility problems with native English speakers.
Similarly, an F-22 pilot may hover his jet in the air with the nose pointed straight up, a Harrier or Osprey pilot may perform a vertical landing or vertical takeoff, and so on.
Similarly, and mean that the sum or product is over all prime powers with strictly positive exponent ( so 1 is not counted ):
Similarly, the USAID phased out a long-standing bilateral partnership with Botswana in 1996, after successful programs emphasizing education, training, entrepreneurship, environmental management, and reproductive health.
Similarly, protecting livestock shelters with fine mesh netting or coarser material impregnated with insecticide will reduce contact with the midges.
Similarly, BBC interactive television services all offered a horizontal i-bar along the bottom of television screens, with four colour-coded interactions linked to the four colour buttons on TV remote controls.
Similarly, frets on earlier balalaikas were made of animal gut and tied to the neck so that they could be moved around by the player at will ( as is the case with the modern saz, which allows for the microtonal playing distinctive to Turkish and Central Asian music ).
Similarly, they should not act as directors of competing companies, as their duties to each company would then conflict with each other.
Similarly those of the Palatine Chapel, the Martorana at Palermo, and the cathedral of Cefalù, together with the vast decoration of the cathedral at Monreale, demonstrate the influence of Byzantium on the Norman Court of Sicily in the twelfth century.
Similarly, a cutaway scene is the interruption of a scene with the insertion of another scene, generally unrelated or only peripherally related to the original scene.
Similarly, Hart ( 1961 ) saw the law as an aspect of sovereignty, with lawmakers able to adopt any law as a means to a moral end.
Similarly, some minor products can be placed below the arrow, often with a minus sign.
Similarly, dry cement powder in contact with mucous membranes can cause severe eye or respiratory irritation.
Similarly, rebels who took power in the city but with the citadel still held by the former rulers could by no means regard their tenure of power as secure.
Similarly, the men of the Mountain Land from north of Kabol-River equivalent to medieval Kohistan ( Pakistan ), figure in the army of Darius III against Alexander at Arbela with a cavalry and fifteen elephants.
Similarly, holes diffusing into the N-doped layer become minority carriers and tend to recombine with electrons.
Similarly, the Catholic Institute for International Relations ( CIIR, now known as " Progressio "), a human rights organization which identifies itself with liberation theology, had summarized Contra operating procedures in their 1987 human rights report: " The record of the contras in the field, as opposed to their official professions of democratic faith, is one of consistent and bloody abuse of human rights, of murder, torture, mutilation, rape, arson, destruction and kidnapping.

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