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He gave, in fact, the theory of what in Hamilton's system is called Composition of Vectors in one plane i.e.

32He gave, in fact, the theory of what in Hamilton's system is called Composition of Vectors in one plane i.e.

32The two forces at B will cancel, and we are left with a couple of moment P.AC in the plane AC. If we draw three vectors to represent these three couples, they will be perpendicular and proportional to the respective sides of the triangle ABC; hence the third vector is the geometric sum of the other two.

21The two forces at B will cancel, and we are left with a couple of moment P.AC in the plane AC. If we draw three vectors to represent these three couples, they will be perpendicular and proportional to the respective sides of the triangle ABC; hence the third vector is the geometric sum of the other two.

21In octonions the analogue of Hamilton's vector is localized to the extent of being confined to an indefinitely long axis parallel to itself, and is called a rotor; if p is a rotor then wp is parallel and equal to p, and, like Hamilton's vector, wp is not localized; wp is therefore called a vector, though it differs from Hamilton's vector in that the product of any two such vectors wp and coo- is zero because w 2 =o.

11of the vectors AB and AC (or BD), and of their sum AD, on a line perpendicular to AO, this is obvious.

11Since the projection of a vector- sum is the sum of the projections of the several vectors, the equation (2) gives if x be the projection of 0G.

11Newtons Second Law asserts that change of momentum is equal to the impulse; this is a statement as to equality of vectors and so implies identity of direction as well as of magnitude.

11Kinetics of a System of Discrete Particles.The momenta of the several particles constitute a system of localized vectors which, for purposes of resolving and taking moments, may be reduced like a system of forces in statics (~ 8).

11fixed point 0 we draw vectors 0V1, 0V2.

11Beare (Oxford, 1890), and a discussion of the subject of reciprocal figures from the special point of view of the engineering studenl is given in Vectors and Rotors by Henrici and Turner (London, 1903) See also above under Theoretical Mechanics, Part I.

11Then assuming that the acceleration of one point of a particuar link of the mechanism is known together with the corresponding configuration of the mechanism, the two Vectors Ac and ct can be drawn.

11The conditions (c) may thus be expressed: first, that the sum of the vectors Wr must form a closed polygon, and, second, that the sum of the vectors War must form a closed polygon.

11In fact, whatever theory of light be adopted, there are two vectors to be considered, that are at right angles to one another and connected by purely geometrical relations.

11In the main such investigations have only an academic interest, as, whatever theory of light be adopted, we have to deal with two vectors that are parallel and perpendicular respectively to the plane of polarization.

11203) show that chemical action is to be referred to the latter of these vectors, but whether Fresnel's or Neumann's hypothesis be correct is only to be decided when we know if it be the mean kinetic energy or the mean potential energy that determines chemical action.

11Thus every quaternion may be written in the form q = Sq+Vq, where either Sq or Vq may separately vanish; so that ordinary algebraic quantities (or scalars, as we shall call them) and pure vectors may each be regarded as special cases of quaternions.

12Thus every quaternion may be written in the form q = Sq+Vq, where either Sq or Vq may separately vanish; so that ordinary algebraic quantities (or scalars, as we shall call them) and pure vectors may each be regarded as special cases of quaternions.

12But the symbols of ordinary algebra do not necessarily denote numbers; they may, for instance, be interpreted as coplanar points or vectors.

00These may be compared and contrasted with such quaternion formulae as S(VabVcd) =SadSbc-SacSbd dSabc = aSbcd - bScda+cSadb where a, b, c, d denote arbitrary vectors.

00In modern language, forces are compounded by vector-addition; thus, if we draw in succession vectors ~--~

00-, HK be vectors representing the given forces, the resultant will be given by AK.

00For if 0, A, B be any three points, and m, n any scalar quantities, we have in vectors m.~+n.~=(m+n)O~, (I)

00In particular, we infer that couples of the same moment in parallel planes are equivalent; and that couples in any two planes may be compounded by geometrical addition of the corresponding vectors.

00adenovirus vectors have been proposed to deliver the cytokine genes to the chicken.

00arthropod vectors.

00Given two vectors of x-y data, bar produces a bar graph.

00A cyclic convolution requires that the lengths of the input vectors are identical.

00coplanar vectors on the (100) plane.

00To provide for efficient delivery of the cytokine, adenovirus vectors have been proposed to deliver the cytokine genes to the chicken.

00denote the standard basis vectors in R m + k.

00The first test is made by the dispatcher routine of the operating system; if no vectors are active, normal dispatcher routine of the operating system; if no vectors are active, normal dispatcher processing continues.

00The first test is made by the dispatcher routine of the operating system; if no vectors are active, normal dispatcher processing continues.

00let et e 1, ..., e m + k denote the standard basis vectors in R m + k.

00Let et e 1, ..., e m + k denote the standard basis vectors in R m + k.

00generalization performance using the number of support vectors.

00It also generalizes simply to the 2D problem by taking the biggest two singular vectors instead of the biggest three.

00Furthermore, very few vectors can accommodate long cDNA inserts.

00interrupt vectors at location $ 64.

00intramolecular vectors.

00Combining the primitive lattice vectors with spacegroup symmetry will effectively generate the crystal lattice.

00The set of all K vectors defines the reciprocal lattice.

00The number of vectors in the plot is kept to a manageable value by only plotting vectors for pixels on a sparse regular matrix.

00Such vectors have proven useful in modification of a range of edible marine animals including mollusks [18] .

00A schematic illustration of insertional mutagenesis with one of our gene trap vectors.

00plasmid vectors constructed for use in genetic modification?

00plasmid transfer vectors.

00quarantines suspicious attachments, providing increased protection by stopping common virus vectors at the email server.

00Lentiviral vectors, a subgroup of retroviruses, are capable of infecting non-dividing, but not truly quiescent cells.

00resultant of two vectors using the vector triangle.

00retrovirus vectors.

00Later parts of the module will assume familiarity with elementary material on vectors in 2 and 3 dimensions including scalar and vector products.

00This fact makes programming with vectors a quite distinct proposition from programming with lists, which are purely sequential access.

00This section outlines how to find the basis vectors for the reciprocal lattice from the basis vectors of the real space lattice.

00These estimators function on the principle that the noise subspace eigenvectors should be orthogonal to the signal vectors.

00metric tensor,, and a distance between points; a scalar product of two vectors.

00transposon mutagenesis and sequencing was tested after sub-cloning of open reading frames into broad host range shuttle vectors.

00trypanosomiasis vectors in the area.

00The first part of the program sets up the seven interrupt vectors at location $ 64.

00Retroviral vectors are the most widely used viral vectors in clinical trials at present.

00I am also working on establishing a core facility within the department for the production of recombinant adenoviral vectors.

00The most frequently used viral vectors are of two types.

00Unlike viruses non-viral vectors are not as well equipped to overcome these intracellular barriers.

00However, this approach would require the availability of a very large panel of recombinant vectors with different serotypes.

00HIV-based vectors will be used for the treatment of HIV infection.

00Course Description This module will extend the vector algebra of the first year to the calculus of three dimensional vector algebra of the first year to the calculus of three dimensional vectors.

00This vaccine contained an adenovirus vector containing GP and NP containing vectors.

00Any real lattice vector may be expressed in terms of the lattice basis vectors, a 1, a 2, a 3.

00Merged velocity vectors from two Antarctic HF radars describe the flow velocity variation in the boundary region.

00The larvae numbers of the mosquito vectors were significantly lower in organic sites.

00Practically all retroviral vectors are derived from pathogenic viruses.

00Physical quantities such as magnetic force, magnetic induction and magnetization, which have direction as well as magnitude, are termed vectors; they are compounded and resolved in the same manner as mechanical force, which is itself a vector.

00But the symbols of ordinary algebra do not necessarily denote numbers; they may, for instance, be interpreted as coplanar points or vectors.

00These may be compared and contrasted with such quaternion formulae as S(VabVcd) =SadSbc-SacSbd dSabc = aSbcd - bScda+cSadb where a, b, c, d denote arbitrary vectors.

00When Clerk Maxwell pointed out the way to the common origin of optical and electrical phenomena, these equations naturally came to repose on an electric basis, the connexion having been first definitely exhibited by FitzGerald in 1878; and according as the independent variable was one or other of the vectors which represent electric force, magnetic force or electric polarity, they took the form appropriate to one or other of the elastic theories above mentioned.

00In octonions the analogue of Hamilton's vector is localized to the extent of being confined to an indefinitely long axis parallel to itself, and is called a rotor; if p is a rotor then wp is parallel and equal to p, and, like Hamilton's vector, wp is not localized; wp is therefore called a vector, though it differs from Hamilton's vector in that the product of any two such vectors wp and coo- is zero because w 2 =o.

00In modern language, forces are compounded by vector-addition; thus, if we draw in succession vectors ~--~

00-, HK be vectors representing the given forces, the resultant will be given by AK.

00For if 0, A, B be any three points, and m, n any scalar quantities, we have in vectors m.~+n.~=(m+n)O~, (I)

00of the vectors AB and AC (or BD), and of their sum AD, on a line perpendicular to AO, this is obvious.

00In particular, we infer that couples of the same moment in parallel planes are equivalent; and that couples in any two planes may be compounded by geometrical addition of the corresponding vectors.

00M,,, the coffin.ear vectors OMi, 0M2.

00Since the projection of a vector- sum is the sum of the projections of the several vectors, the equation (2) gives if x be the projection of 0G.

00in,,.P,.P,,, considered as localized vectors, do not, however, as a rule reduce to a single resultant.

00Newtons Second Law asserts that change of momentum is equal to the impulse; this is a statement as to equality of vectors and so implies identity of direction as well as of magnitude.

00Kinetics of a System of Discrete Particles.The momenta of the several particles constitute a system of localized vectors which, for purposes of resolving and taking moments, may be reduced like a system of forces in statics (~ 8).

00fixed point 0 we draw vectors 0V1, 0V2.

00Beare (Oxford, 1890), and a discussion of the subject of reciprocal figures from the special point of view of the engineering studenl is given in Vectors and Rotors by Henrici and Turner (London, 1903) See also above under Theoretical Mechanics, Part I.

00Then assuming that the acceleration of one point of a particuar link of the mechanism is known together with the corresponding configuration of the mechanism, the two Vectors Ac and ct can be drawn.

00The conditions (c) may thus be expressed: first, that the sum of the vectors Wr must form a closed polygon, and, second, that the sum of the vectors War must form a closed polygon.

00In fact, whatever theory of light be adopted, there are two vectors to be considered, that are at right angles to one another and connected by purely geometrical relations.

00In the main such investigations have only an academic interest, as, whatever theory of light be adopted, we have to deal with two vectors that are parallel and perpendicular respectively to the plane of polarization.

00203) show that chemical action is to be referred to the latter of these vectors, but whether Fresnel's or Neumann's hypothesis be correct is only to be decided when we know if it be the mean kinetic energy or the mean potential energy that determines chemical action.

00PureMessage removes or quarantines suspicious attachments, providing increased protection by stopping common virus vectors at the email server.

00Lentiviral vectors, a subgroup of retroviruses, are capable of infecting non-dividing, but not truly quiescent cells.

00Find the resultant of two vectors using the vector triangle.

00The newer vectors are based on a sub-group of retroviruses known as lentiviruses.

00Silencing of gene expression: implications for design of retrovirus vectors.

00Later parts of the module will assume familiarity with elementary material on vectors in 2 and 3 dimensions including scalar and vector products.

00This fact makes programming with vectors a quite distinct proposition from programming with lists, which are purely sequential access.

00This section outlines how to find the basis vectors for the reciprocal lattice from the basis vectors of the real space lattice.

00These estimators function on the principle that the noise subspace eigenvectors should be orthogonal to the signal vectors.

00Vectors in sports In the 1950s a group of talented Brazilian footballers invented the swerving free kick.

00Metric tensor, , and a distance between points; a scalar product of two vectors.

00Baculovirus vectors have been shown to transduce various cell types in vitro and in vivo with significant efficiency leading to stable gene expression.

00Such studies can lead to more efficient formulations of vectors for transfection studies in vivo and in vitro.

00The function of genes located by transposon mutagenesis and sequencing was tested after sub-cloning of open reading frames into broad host range shuttle vectors.

00Impact The project made good progress in helping to identify the fly species that are probable bovine trypanosomiasis vectors in the area.

00Retroviral vectors are the most widely used viral vectors in clinical trials at present.

00I am also working on establishing a core facility within the department for the production of recombinant adenoviral vectors.

00The most frequently used viral vectors are of two types.

00Unlike viruses non-viral vectors are not as well equipped to overcome these intracellular barriers.

00However, this approach would require the availability of a very large panel of recombinant vectors with different serotypes.

00HIV-based vectors will be used for the treatment of HIV infection.

00Course Description This module will extend the vector algebra of the first year to the calculus of three dimensional vectors.

00This vaccine contained an adenovirus vector containing GP and NP containing vectors.

00Any real lattice vector may be expressed in terms of the lattice basis vectors, a 1, a 2, a 3.

00Merged velocity vectors from two Antarctic HF radars describe the flow velocity variation in the boundary region.

00The larvae numbers of the mosquito vectors were significantly lower in organic sites.

00Practically all retroviral vectors are derived from pathogenic viruses.

00The viral vectors carrying the GFP were injected into the space between the egg and its protective vitelline membrane.

00Using lines in mathematics and physics helps us to understand direction, but using vectors also tells us the magnitude.

00Insects, such as fleas, also act as vectors of the disease.

00The most common vectors are genetically altered viruses.

00When Clerk Maxwell pointed out the way to the common origin of optical and electrical phenomena, these equations naturally came to repose on an electric basis, the connexion having been first definitely exhibited by FitzGerald in 1878; and according as the independent variable was one or other of the vectors which represent electric force, magnetic force or electric polarity, they took the form appropriate to one or other of the elastic theories above mentioned.

01

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