Moreover, if any coefficient is a fixed power of 2, the multiplication can be replaced by bit shifting.

Moreover, in the usual formulation of classical action principles, the initial and final states of the system are fixed, e. g.,

Moreover, one gets generalizations of the Lefschetz fixed point theorem, with terms coming from fixed point submanifolds of the group G.

Moreover, in many other words, the pronunciation has subsequently evolved from a fixed spelling, so that it has to be said that the phonemes represent the graphemes rather than vice versa.

Moreover, the currency board, Monetary Authority of Macao ( AMCM ), has a statutory obligation to issue and redeem pataca on demand against the Hong Kong dollar at a fixed exchange rate and without limit.

Moreover, it can be argued that the concept of the line was counter-intuitive to the strengths of Israeli battle tactics, which, at their core, relied on agile mobile forces moving rapidly through the battlefield rather than utilizing a heavy reliance on fixed defenses.

Moreover, in the Book of Abraham, Smith refers to " fixed planets or stars ", implying that some planets may be " fixed ".

Moreover, a fixed / non-current asset can also be defined as an asset not directly sold to a firm's consumers / end-users.

Moreover, if the system is given a fixed, finite input ( i. e., a step ), then any resulting oscillations in the output will decay at an exponential rate, and the output will tend asymptotically to a new final, steady-state value.

Moreover a government, when having a fixed rather than dynamic exchange rate, cannot use monetary or fiscal policies with a free hand.

Moreover, the papers are distributed at more than 100 fixed or non-fixed spots, including commercial buildings, bus / mini-bus stops and shopping malls all around Hong Kong.

Moreover, if Af and Af are two planes intersecting in a line l, tangent to Q at a point P, the two free intersections of the image curves Af and Af must coincide at P', the image of P, and at this point Af and Af must have a common tangent l'.

Moreover, C' obviously meets any line Af in a single point.

Moreover, Paul's description of the Council of Jerusalem ( Gal 2: 1 – 10 ) gives a different point of view from the description in Acts 15: 2 – 29.

Moreover, even when the electron configuration is such that there are unpaired electrons and / or non-filled subshells, it is often the case that the various electrons in the solid will contribute magnetic moments that point in different, random directions, so that the material will not be magnetic.

Moreover, Jassim bin Mohammed's ambivalent relations with the Ottomans deteriorated to the point that in 1893 they sent a military force to Doha to arrest him, ostensibly over his refusal to permit an Ottoman customhouse in Doha.

Moreover, he noted in the preface to his third edition a point that was to become a feature of Tasmanian politics:

Moreover, and this is a key point, the game of chess is also shaped by teleonomic, cybernetic, feedback-driven influences.

Moreover, the legitimacy and the accountability of NGOs on the point of their true nature are also emerging as important issues.

Moreover the European languages which gave rise to the creole languages of European colonies all belong to the same subgroup of Western Indo-European and have highly convergent grammars ; to the point that Whorf joined them into a single Standard Average European language group.

Moreover, The Patriot does not depict the American character Benjamin Martin as innocent of atrocities ; a key plot point revolves around the character Benjamin Martin's guilt over acts he engaged in, such as torturing, killing, and mutilating prisoners during the French and Indian War.

Moreover, they point out that the anti-whaling lobby within the IWC are also led by wealthy developed nations and are equally susceptible to accusations of vote-buying and influence-peddling.

' Moreover ,' he continues, ' these persons utter against one another dreadful blasphemies, saying all manner of things shameful to be spoken ; nor will they yield in the slightest point for the sake of harmony, hating each other with a perfect hatred.

Moreover, from the technical point of view the rifle that can be called " Mosin-Nagant " ( or " Nagant-Mosin ") is the design proposed by Mosin, as further amended by Mosin with some details being borrowed from Nagant's design.

Moreover, the intersection point of the cevians is the center of mass of the simplex.

Moreover, some proponents point to recent research on the increase in cranial compliance following on trepanation, with resulting increase in blood flow, as providing some justification for the practice.

Moreover, the closed eye will tend to converge to point at the object.

Moreover, it is our only source for the history of Hispania in the period up to 468, at which point the narrative breaks off.

Moreover, Atiśa's spiritual proficiency at this point is demonstrated through both kindness towards his subjects and non-attachment towards his familial, social, and overall life situation.

Moreover, Hudson Bay was a focal point of dispute between the Protestant English and Catholic French colonists, both of whom claiming a share of its occupation and trade.

Moreover, in the inevitable conflict with the Danish crown his upright point of view and his German patriotism were further confirmed.

Moreover, it is the meeting point of national roads SH2 and SH4.

Moreover, if the relation '≥' in the above expression is actually an equality, then and hence ; the definition of z then establishes a relation of linear dependence between u and v. This establishes the theorem.

Moreover, Gödel's second incompleteness theorem shows that the consistency of sufficiently strong effective theories of arithmetic can be tested in a particular way.

Moreover, by the envelope theorem the optimal value of a Lagrange multiplier has an interpretation as the marginal effect of the corresponding constraint constant upon the optimal attainable value of the original objective function: if we denote values at the optimum with an asterisk, then it can be shown that

Moreover, the sum of all the positive Lyapunov exponents gives an estimate of the Kolmogorov – Sinai entropy accordingly to Pesin's theorem.

Moreover Mazur's torsion theorem restricts the structure of the torsion subgroup.

Moreover, the power and authority of geometry's theorem and proof structure greatly influenced non-geometric treatises, Isaac Newton's Principia Mathematica, for example.

Moreover the first cohomology group H < sup > 1 </ sup >( X, j < sub >*</ sub > G < sub > m, K </ sub >) is isomorphic to the Galois cohomology group H < sup > 1 </ sup >( K, K < sup >*</ sup >) which vanishes by Hilbert's theorem 90.

Moreover, all known NP proofs for this problem exhibit the prime factorization of m. This indicates that adding interaction to the proving process, may decrease the amount of knowledge that must be communicated in order to prove a theorem.

Moreover, any positive functional on this space has this form, as follows from the Riesz representation theorem.

Moreover, by the central limit theorem we have that

Moreover, the Green – Tao theorem says that for any k there exists a pair of a and b with the property that is prime for any n from 0 to k − 1.

Moreover, by Plancherel's theorem, one has

Moreover, the action allows for the easy identification of conserved quantities through Noether's theorem by studying symmetries of the action.

* Moreover, any classical theorem that is true for all standard numbers is necessarily true for all natural numbers.

Moreover, if the diameter is equal to π /√ k, then the manifold is isometric to a sphere of a constant sectional curvature k. This rigidity result is due to, and is often known as Cheng's theorem.

Moreover, the sphere ( for instance ) is spectrally rigid, by Cheng's eigenvalue comparison theorem.

Moreover, as an easy consequence of the compactness theorem, a class of σ-structures is basic elementary if and only if it is elementary and its complement is also elementary.

Moreover, the converse of Ptolemy's theorem is also true:

Moreover, θ satisfies the first set of hypotheses in Darboux's theorem, and so locally there is a coordinate chart U near p in which

Moreover, as in the case of compact simple Lie groups, the corresponding groups turned out to be almost simple as abstract groups ( Tits simplicity theorem ).

Moreover, by a theorem of Lagrange, the number of solutions modulo p to a congruence of degree q modulo p is at most q ( this follows since the integers modulo p form a field, and a polynomial of degree q has at most q roots ).

Lyndon's theorem says that if S ∪ T is unsatisfiable, then there is an interpolating sentence ρ in the language of S ∩ T that is true in all models of S and false in all models of T. Moreover, ρ has the stronger property that every relation symbol that has a positive occurrence in ρ has a positive occurrence in some formula of S and a negative occurrence in some formula of T, and every relation symbol with a negative occurrence in ρ has a negative occurrence in some formula of S and a positive occurrence in some formula of T.

Moreover, it is important for theoretical purposes, such as the Cayley – Hamilton theorem.