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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.
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Similarly and SO
Similarly, type I string theory with the coupling g is equivalent to the SO ( 32 ) heterotic string theory with the coupling constant 1 / g.
Similarly and n
Similarly, if n is divisible by 3, and m was already a prime distinct from 3, then n − m would also be coprime to 3 and thus be slightly more likely to be prime than a general number.
Similarly, the limit superior of ( x < sub > n </ sub >) is defined by
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.
Similarly, a skew-symmetric matrix is determined by n ( n − 1 )/ 2 scalars ( the number of entries above the main diagonal ).
Similarly, the E < sub > n </ sub > for even n look similar ( but not identical ) to each other after a simple division by n !.
Similarly, under the generalized Riemann hypothesis, the Miller – Rabin test can be turned into a deterministic version ( called Miller's test ) with runtime Õ (( log n )< sup > 4 </ sup >).
Similarly, mathematicians often describe Fermat's Last Theorem as asserting that there are no nontrivial integer solutions to the equation when n is greater than 2.
Similarly, the 29 minuscule forms ( lowercase or small letters ) are: a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, å, ä, and ö.
Similarly, allowing n > 0 here, we obtain
* Similarly, the free group F < sub > n </ sub > has p < sup > n </ sup > − 1 subgroups of index p.
Similarly, roots of a polynomial are said to be degenerate if they coincide, since generically the n roots of an nth degree polynomial are all distinct.
( Similarly, X < sub > k </ sub > and x < sub > n </ sub > are implicitly periodic in N, so their subscripts are evaluated modulo N .) The remaining terms give:
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 subgroup
Similarly a subset of is called a left ideal of if it is an additive subgroup of R absorbing multiplication on the left:
Similarly, the additive group Z of integers is not simple ; the set of even integers is a non-trivial proper normal subgroup.
* Similarly, the number of conjugates gHg < sup >− 1 </ sup > of a subgroup H in G is equal to the index of the normalizer of H in G.
Similarly, the subgroup that acts trivially on the homology of M is called the Torelli group of M, one could think of this as the mapping class group of a homologically-marked surface.
Similarly, the p ′- core is the largest normal subgroup of G whose order is coprime to p and is denoted.
Similarly the Fitting subgroup of G / F ( G ) will be nontrivial if G is not itself nilpotent, giving rise to the concept of Fitting length.
Similarly, a normal subgroup N of G is said to be a maximal normal subgroup ( or maximal proper normal subgroup ) of G if N < G and there is no normal subgroup K of G such that N < K < G.
Similarly and +
Similarly, if Alice gets − z, Bob will get + z.
Similarly, Dave Raggett's competing Internet-Draft, " HTML + ( Hypertext Markup Format )", from late 1993, suggested standardizing already-implemented features like tables and fill-out forms.
Similarly, the star will never rise above the local horizon if δ − θ is less than − 90 ° ( observer in northern hemisphere ), or δ − θ is greater than + 90 ° ( observer in southern hemisphere ).
* Similarly, in a three-dimensional space, the dot product of vectors b, c and e, f is ad + be + cf.
Similarly, a cardinal κ is n-superstrong if and only if there exists an elementary embedding j: V → M from V into a transitive inner model M with critical point κ and ⊆ M. Akihiro Kanamori has shown that the consistency strength of an n + 1-superstrong cardinal exceeds that of an n-huge cardinal for each n > 0.
Similarly, a perfectly balanced binary search tree containing n elements has height lb n + 1.
Similarly, 2. Kd2 would allow 2 ... Rf2 + ( skewering the white king and queen ) 3. Be2 Rxe2 +!
Similarly, Shift + Tilde along with two hexadecimal characters will accomplish the same task on the S / 36.
Similarly, the cinema space in the basement — named Paramount after the picture company that Gulf + Western owned — was closed as the building was sold.
Similarly, a Cunningham chain of the second kind of length n is a sequence of prime numbers ( p < sub > 1 </ sub >,..., p < sub > n </ sub >) such that for all 1 ≤ i < n, p < sub > i + 1 </ sub >
Similarly, the vowel is heard in Wichita utterances, although this vowel is usually the phonetic result of a contraction of sequences of vowel + w + short vowel, a phenomenon also noted in other languages with vertical vowel systems.
Similarly, complex projective space is the space of all complex lines in C < sup > n + 1 </ sup > passing through the origin.
Similarly, residents of Büsingen can be reached by telephone using either a German number ( with the prefix + 49 7734 ) or a Swiss one ( with the prefix + 41 52 ).
Similarly, the plan also called for the estate of the late Martin Davis ( former chairman of Gulf + Western Industries / Paramount Communications Inc .) to provide US $ 21. 9 million to Lionel, and the Davis estate would now have a 28. 6 percent share in the reorganized company.
Similarly, any multiple of four is a difference of the squares of two numbers that differ by two: ( k + 2 )< sup > 2 </ sup >-k < sup > 2 </ sup > = 4k + 4.
Similarly, the word “ economy ” is assembled from Greek “ οικ ( ο )-” ( household ) + “ νομ ( ο )-” ( law or custom ), and “ economic ( s )” from “ οικ ( ο )-” + “ νομ ( ο )-” + “- ικ ( ο )-”.
# Similarly add 7 + 5 =
Similarly to Steely Dan, in the studio Mike + the Mechanics were not a tight-knit band but a vehicle for the songwriting of Rutherford, Robertson, and Neil, and session keyboardists, drummers, guitarists, and even lead vocalists often performed on the songs in place of the official band members.
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