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, 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, 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, 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 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, as the values of x become smaller and smaller, say. 01,. 001,. 0001, ..., making them infinitesimal relative to the scale shown, the corresponding values of y, 100, 1000, 10, 000 ..., become larger and larger.

Similarly, calculating the sample variance will result in values that grow larger as more samples are taken.

Similarly, the highest humidities, usually close to 80 percent, are recorded during the rainy months, and values from 68 to 78 percent are registered during the drier period.

Similarly, the " Who Controls Our Children " campaign in Pennsylvania claimed that an OBE reform effort was part of a federal program that was " stressing values over academic content, and holding students accountable for goals that are so vague and fuzzy they can't be assessed at all.

Similarly, the intensity of the output on TV and computer display devices is not directly proportional to the R, G, and B applied electric signals ( or file data values which drive them through Digital-to-Analog Converters ).

Similarly, metal ion hydrolysis causes ions such as < span style =" white-space: nowrap ;">< sup > 3 +</ sup ></ span > to behave as weak acids :< ref name = Burgess > Section 9. 1 " Acidity of Solvated Cations " lists many pK < sub > a </ sub > values .</ ref >

Similarly, uncertainty is propagated through calculations so that the calculated value has some degree of uncertainty depending upon the uncertainties of the measured values and the equation used in the calculation .</ li >

Similarly a standardized anomaly series contains values of deviations divided by a standard deviation.

Similarly, detection in firmware can be achieved by computing a cryptographic hash of the firmware and comparing it to a whitelist of expected values, or by extending the hash value into Trusted Platform Module ( TPM ) configuration registers, which are later compared to a whitelist of expected values.

Similarly, if the lines are further south, the values will give the point a more northerly latitude.

Similarly, in a startup company formed as a corporation, employees may receive stock or stock options, becoming thus part-owners of the firm, in return for accepting salaries that are below their respective market values ( this includes zero wages ).

Similarly, a promotion that provides higher status but requires longer hours may be a deterrent to an employee who values evening and weekend time with his children.

Similarly, denote the nonzero singular values of B by

Similarly for a series of years, say five, given only nominal values of the good and prices in each year t, a real value can be derived for each of the five years:

Similarly, he was not against progress in the sense of objectively justifiable social improvement, but did oppose purely fashionable progressivism, and in particular what he called " chronological snobbery ", the view that the superiority of modern values can always be assumed automatically and without investigation.

Similarly, measuring at two different values of X would give enough data for a regression with two unknowns, but not for three or more unknowns.

Similarly there are restrictions on who can live in the community to prevent inflation of property values for year-round residents.

Similarly, the elements of a list can have values of any type and these can be different from element to element within the list.

Similarly, variable may be regarded at a high ( quaternary ) resolution or at a lower ( binary ) resolution, where it takes on the values or, respectively.

Similarly the static speed profile is given in a variable count of section parts with each part denoting the section length ( number in meters-a possible scale is only given once at the start of the packet for all sections ), the maximum speed ( number * 5 km / h-allowed numbers are 0-120 i. e. some spare values are left ) and a flag if the speed restriction applies to the front or rear end of the train ( possibly allowing for a delay ).

Similarly, organizations tend to have ‘ memories ’ which preserve certain behaviours, norms and values.

Similarly, all the statements listed below which require choice or some weaker version thereof for their proof are unprovable in ZF, but since each is provable in ZF plus the axiom of choice, there are models of ZF in which each statement is true.

Similarly, a character can find any possible universe, but they can spend character points to know of or inhabit shadows which are ( in some sense ) " real " and therefore useful.

Similarly, the silver used in jewelry and the aluminium used as a structural building material are also alloys.

Similarly, the third and fourth rows are shifted by offsets of two and three respectively.

Only then in fact was payment for assembly attendance, the central event of democracy ( Similarly for the period before the Persian wars, but for the very early democracy the sources are very meagre and it can be thought of as being in an embryonic state ).

Similarly, some dishes that are typically considered American have their origins in other countries.

Similarly, there are many works detailing atrocities and malevolence of Communist regimes ( e. g., Nadezhda Mandelstam's Hope against Hope ).

Similarly, in Avery Corman's book The Old Neighborhood ( 1980 ), an upper-middle class white protagonist returns to his birth neighborhood ( Fordham Road and the Grand Concourse ), and learns that even though the folks are poor, Hispanic and African-American, they are good people.

Similarly powerful Mercia kings such as Offa are missed out of the West Saxon Anglo-Saxon Chronicle, which sought to demonstrate the legitimacy of their kings to rule over other Anglo-Saxon peoples.

Similarly, those participants who are recipients of the activities are typically known as bottoms, those who are controlled by their partners as submissives, and those who receive pain as masochists ; again, these are frequently the same person and the terms are sometimes used interchangeably.

Similarly, corporations are often formed under Delaware corporate law, and contracts relating to corporate law issues ( merger and acquisitions of companies, rights of shareholders, and so on.

Similarly, different cultural attitudes, social organizations, economic models and legal frameworks are seen to account for why copyright emerged in Europe and not, for example, in Asia.

Similarly, relatively little energy is used in producing and combining the raw materials ( although large amounts of CO < sub > 2 </ sub > are produced by the chemical reactions in cement manufacture ).

Similarly, the halogens and the noble gases are nonmetals, viewed in the broader sense.

Similarly, Robert Nozick argues for a theory that is mostly consequentialist, but incorporates inviolable " side-constraints " which restrict the sort of actions agents are permitted to do.

Similarly, the Economic and Financial Affairs Council is composed of national finance ministers, and they are still one per state and the chair is held by the member coming from the presiding country.

Similarly, most biochemically significant processes are catalysed.

Similarly, one cannot argue that Western epistemology is unjustly promoted in non-Western societies if one believes that those epistemologies are absolutely correct.

Similarly, fungi that capture microscopic animals are often called carnivorous fungi.