Similarly, Gaussian wavelets, which would correspond to the waist of a propagating Gaussian beam, could also potentially be used in still another functional decomposition of the object plane field.

Similarly, the term expresses the default likelihood of

Similarly, Kingston's praise of William Carlos Williams expresses her appreciation of his seemingly genderless work: " I love In the American Grain because it does the same thing.

" Similarly The Sunday Times noted, " The entire company join in the chorus, the music of which admirably expresses the whirl and thunder of a railway train at express speed.

Similarly, the destruction of a sacred territory at Abydos is recorded ; the king expresses remorse, as if accepting responsibility for the unthinkable that must have recurred throughout history-sacrilege in the name of the ruling king, subject to divine retribution during a judgment of the dead.

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, the angle that a line makes with the horizontal can be defined by the formula

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.

Similarly, if Q ( n ) is the predicate " n is composite ", then

Similarly, if Q ( n ) is the predicate " n is even ", then

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.

Since a Fahrenheit-sized interval of temperature is only < sup > 5 </ sup >⁄< sub > 9 </ sub > that of a Celsius-sized interval, the value is typically expressed as 10. 4 ( µin / in )/° F rather than 18. 7 ( µin / in )/° C .< sub > </ sub ></ ref > Similarly, a metering pump that injects a trace chemical into the main process line at the proportional flow rate Q < sub > p </ sub > = 125 ppm, is doing so at a rate that may be expressed in a variety of volumetric units, including 125 µL / L, 125 µgal / gal, 125 cm < sup > 3 </ sup >/ m < sup > 3 </ sup >, etc.

Similarly, temperature, while affecting metabolic rates ( see Q < sub > 10 </ sub >), ranges less widely in the ocean than on land because the heat capacity of seawater buffers temperature changes, and the formation of sea ice insulates it at lower temperatures.

* Similarly, in his web article, John Q. Jacobs finds that " While differing on specifics, most authors accept a religious interpretation for many elements of the mural art.

Similarly, the quantum group U < sub > q </ sub >( G ) can be regarded as an algebra over the field Q ( q ), the field of all rational functions of an indeterminate q over Q ( see below in the section on quantum groups at q

Another construction proceeds as follows: Let a line L and a point O not on L be given, and let K be the line through O parallel to L. Let P be a variable point on L. Let Q be the projection of P onto K, on other words Q is the intersection of K with the line through P perpendicular to K. Similarly let R be the projection of Q onto OP.

Similarly, when ( e ) is negative Q goes negative at the next positive clock edge.

Similarly, the theory of complex multiplication shows that the maximal abelian extension of Q ( τ ), where τ is an imaginary quadratic irrationality, can be obtained by adjoining the special values of ℘( τ, z ) and j ( τ ) of modular functions j and elliptic functions ℘, and roots of unity, where τ is in the imaginary quadratic field and z represents a torsion point on the corresponding elliptic curve.

Similarly, an arbitrary quantum operation can be implemented via introducing an ancilla and performing a suitable unitary evolution.

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, the right multiplication of a matrix A with a scalar λ is defined to be

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, 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, defined a matrix with elements

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.