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Similarly and skew-symmetric
Similarly, each diagonal element of a skew-symmetric matrix must be zero, since each is its own negative.

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, the right multiplication of a matrix A with a scalar λ is defined to be
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 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 is
Similarly in Illinois there is Lincoln country to be seen -- his tomb and other landmarks.
Similarly, at the opposite end of the market cycle, towards the end of an intermediate or major decline, usually while the bottom is being formed on the price chart, it is characteristic that an increase is noticed in odd-lot selling again alerting the chartist that a bottom is becoming a greater likelihood.
Similarly, the American Cancer Society ( ACS ), the Arthritis and Rheumatism Foundation, and the BBB have each stated lately that medical quackery is at a new high.
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 Italian verb corresponding to ' spell ( out )', compitare, is unknown to many Italians because the act of spelling itself is rarely needed: Italian spelling is highly phonemic.
Similarly, Helen Keller stated that " Life is either a daring adventure or nothing.
Similarly, although a subset of the real numbers that is not Lebesgue measurable can be proven to exist using the axiom of choice, it is consistent that no such set is definable.
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 in St Peter: " Christ .. Who verily was foreordained before the foundation of the world, but was manifest in these last times for you " ( 1 Peter 1: 20 ), and " But the end of all things is at hand " ( 1 Peter 4: 7 ).
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, in the Greek Magical Papyri, the term " Aion " is often used to denote the All, or the supreme aspect of God
Similarly, " suprarenal " is derived from supra-( Latin, " above ") and renes.
Similarly the freehold of a benefice, on the death of the incumbent, is said to be in abeyance until the next incumbent takes possession.
Similarly, the use of excessively high doses ( often the result of polypharmacy ) continues despite clinical guidelines and evidence indicating that it is usually no more effective but is usually more harmful.

Similarly and determined
Similarly, in 2011 the eukaryotic 60S subunit structure was also determined from Tetrahymena thermophila in complex with eIF6.
Similarly, once it is determined which substrates are ubiquitinated by each ligase, determining the set of ligases expressed in a particular cell type will be helpful.
Similarly, statistics on the mother's marital status are determined by whether she is married at the end of the pregnancy, not at the time of conception.
Similarly, if the plaintiff was a woman, above 60 years of age, a minor, or if he were lame or blind, he could decline the challenge, and the case would be determined by a jury.
Similarly, in order to avoid the problems that led to the 2004 split, disagreements about joining a coalition will not be determined by a majority vote of MKs, but rather taken to the party's rabbinic leaders.
Similarly, the Task Force on Community Preventive Services determined that provider reminders alone or with provider education are effective in promoting smoking cessation.
Similarly, although the masculine and chivalric Leo is determined to reject Ayesha for killing the devoted native girl Ustane, he too quickly falls under her will.
Similarly as with collusive conduct, market shares are determined with reference to the particular market in which the firm and product in question is sold.
Similarly, if tissue damage ( heart attack, myocardial infarction, cardiac stunning or hibernation ) is to be determined, this is done under " resting " conditions.
Similarly, Jacob Arminius defined it as " the rejection and refusing of Jesus Christ through determined malice and hatred against Christ ".
Similarly, if the noun is determined by the definite article ( enclitic in Romanian, see that section ), the genitive-dative mark is added at the end of the noun together with the article, for example băiatul-băiatului ( the boy-of / to the boy ), cartea-cărții ( the book-of / to the book ).
Similarly, while Connor may have benefited politically in the short run from Shuttlesworth's determined provocations, that also fit Shuttleworth's long-term plans.
Similarly as in step 2 of the illustration, a sighting is taken on the base of the object whose height is to be determined, and the reading on the horizontal scale, d ', recorded.
Similarly, the Permian-Triassic extinction is now dated at 252. 5 Ma, which is effectively coincident with the age determined by other means for Siberian Traps basalt flows.
Similarly, in a later work it was found that the Ape Index was statistically significant, and thus determined that it was one of a number of variables that provided the highest diagnostic value in the prediction of climbing performance.
Similarly the common law doctrine that all offices held under the crown determined at its demise has been reversed by the Demise of the Crown Act 1901.
Similarly, title to movables including choses in action, should be determined by lex situs, i. e. the law of place where each item is located at the time the trust is created.
Similarly, he is a determined opponent of what he perceives as the pretensions of the papacy.
Similarly, the CWT may be applied to detect the activated voxels of cortex and additionally the temporal independent component analysis ( tICA ) may be utilized to extract the underlying independent sources whose number is determined by Bayesian information criterion.
Similarly for a pointclass Γ, Γ Wadge determinacy is the statement that for all sets A, B in Γ, the Wadge game G ( A, B ) is determined.

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