Found inside – Page 3616.8.4 Levenberg–Marquardt Algorithm DEFINITION 6.9. (DESCENT DIRECTION) The vector v is called a descent direction of P(a) at the point a if Vip(a)" v < 0. Found inside – Page 523The geometrical definition of the Riemann curvature is briefly the following : Starting from any point P with the coördinates xi we consider two linear directions defined by the increments dxi and òxi . If we remain in the vicinity of P these two ... Found inside – Page 523... on the plane - direction defined by the increments dr ; and òxi directions define a plane The geometrical definition plane . point P If now we R = -1 where the sum depending they name of the “ Christoffel quadruple index under coefficients dik ... Found inside – Page 1163DEFINITIONS . Dorsal , dorsad . At or in the direction of the dorsum , or Back ; backward ; Upper : upward ; dorsal aspect of the body or ... Posologic , Posological ( poz - o - loj " -ik , poz - o - loj ' - ik - al ) [ T60oC , how much ; hóyos , science ] . Found inside – Page 37But a direction suggests a style of some sort ( a direction is a pattern ) and so science's objectivity — even as an abstraction ... Further , presumably any attempt to define science as its direction involves an effort to sneak in with the definition an ... Found inside – Page 196The objections which definition of light similar to that of inotion— have been urged ... light could not , in his estimation , rectilinear direction . Found inside – Page 523The geometrical definition of the Riemann curvature is briefly the following : Starting from any point P with the coördinates xi we consider two linear directions defined by the increments dxi and oxi . If we remain in the vicinity of P these two ... Found inside – Page 379determines the baseline from which the future direction of the organization will ... of geographic locations , definition of roles , and responsibilities . Found inside – Page 94Some remarks about the notions of direction and velocity. A definition of rest. A definition of the construction of composite motion. Found inside – Page 98This evolutionary direction is stridently contradictory to that of thermodynamic ... 4.2.1.2 Nonequilibrium Thermodynamics Definition 4.7 (System state). Found inside – Page 577The fundamental reason for this complexity is that a current element is a vector quantity , having magnitude and direction , whereas an electric charge is a scalar quantity , having only magnitude . 2. DEFINITION OF THE DIRECTION OF THE ... Found inside – Page 77Angle between the thrust direction and the orbit plane as a function of time for a direct transfer to Mercury , as derived from the approximation in ... Found inside – Page 523... problem of the Parisian Academy , 1861 . The geometrical definition of the Riemann curvature is briefly the following : Starting from any point P with the coördinates Xi we consider two linear directions defined by the increments dxi and òxi . Found inside – Page 152... the only effect for which we can detect an agent cause— the unbalanced force— is an acceleration, which by definition is a change of speed or direction. Found inside – Page 173(oya), (2) where P'(z) = 1/a. 2. p. z is called positive-direction mask symbol, and corresponding negive-direction mask symbol is P (z)=1/a. X., p. 2'. Let V, - Clos {Span(a”qb(a'x-k), a”q}(l–a'x): k, le Z, je Z}, (3) L*(R.C") Definition 1". We say that ... Found inside – Page 38American Association for the Advancement of Science. expression representing at once the length and direction of the unknown segment . ... Doubtless nobody has felt at liberty to change the definition of these operations once adopted . Found inside – Page 28It is the purpose of this section to define current densities , and to interrelate these with currents and changing charge ... space until he finds the position which gives him the greatest value of current through the surface in the direction of the unit ... Found inside – Page 264Let us only show that fully consistency implies the existence of a robust extension, since the converse direction is immediate from the definition. Found inside – Page 560... i.e. moving direction and speed of cars were ignored in the definitions. To overcome this, we take into account both directions and speed so as to ... Found inside – Page 58Uncertainty of ecosystem management provide direction or a strong legal ... in two forms : ( 1 ) uncertainty about the definition of ecosystem management ... Found inside – Page 445Science and Hypothesis, The Value of Science, Science and Method Henri Poincaré ... then the point of attachment of the string will be by definition the point of application of the force F ' , and that of the equivalent force F ; the direction of the ... Found inside – Page 37In order to define a crystallographic plane, we use three integers l, m, and n as Miller indices. The three integers are written as (hkl) for the plane. The crystallographic directions are represented by [hkl]. By convention, negative integers are ... Found inside – Page 460Nova Scotian Institute of Science ... The usual definition of work done is the product of the magnitude of a force into the component in its action line of the displacement of its point of application . ... it acts , if the force and the competent displacement have the same direction ; negative work , if they have opposite directions . Found inside – Page 231as tion of the educative act , which is used to Descriptive definition of the classroom derive features as a basis for establishing ... statement of what should be , such behavior in a direction agreeable with preColadarci's [ 2 ] normative definition . Found inside – Page 796The striking dissimilarity in the wording of fundamental definitions is wholly out of accord with a subject over two ... If we hold with Dr. Johnson that parallels are lines that have the same direction and maintain always the same distance , we ... Found inside – Page 68Similarly, Allen (1997) breaks route direction elements into directives ... is also no accepted definition of what constitutes 'good route directions'. Found inside – Page 111A more general definition of work, valid for all constant forces regardless of their direction, is (constant force), (5.2) or, in terms of the angle between ... Found inside – Page 807This has only to be stress in producing elongation in its own direction , and divided by the specific gravity of the substance to give the contraction in lines perpendicular to it . With stresses length of the modulus . British measures , however ... Found inside – Page 185Proceedings of the 22nd Australasian Computer Science Conference, ASCC'98, Auckland, 18-21 January 1998 Jenny ... We can define the direction of each tangent line based on the distribution or the positions of the three adjacent pixels ... Found inside – Page 523The geometrical definition of the Riemann curvature is briefly the following : Starting from any point P with the coördinates xi we consider two linear directions defined by the increments dx , and òxi . If we remain in the vicinity of P these two ... Found inside – Page 293If the shelling direction is inward, the offset direction is opposite to the normal of the face, ... definition of shelling is illustrated in Fig. 1. Found inside – Page 761We shall V = j ( 1 – n T ) E ( 43 ) consider ki as positive when the center of curvature is on the negative portion of the normal ; that is , when the circle of curvature is convex seen from the positive ( 44 ) direction . Furthermore , we define kg as ... Found inside – Page 460When a point is made to describe a line of any shape , it must begin to move in some one direction ; and as long as the stroke is continued in the same unaltered direction , the result will be a straight line under the proposed definition . So if a ... Found inside – Page 149This definition question arises as to whether the deposits are Aino or pre - Aino . may be given a subjective meaning ... The resultant force on any particle in any direction , referred as being so mild and gentle that murder was never known to ... Found inside – Page 128Changing the speed of an object changes its velocity ; changing the direction in which an object is traveling also changes the velocity . A change in either speed or direction ( or both ) will , by definition , change the velocity . ( Although the term ... Found inside – Page 239Direction of footstep cycle: Direction is defined for each footstep cycle in this paper. Here we define the direction cycle to be a vector that starts from ... Found inside – Page 458Perhaps the most far - reaching of differences in definitions are found in those for parallel lines . Wentworth , following Chauvenet , says parallel lines are those having the same direction throughout their whole extent . This definition is very ... Found insideBf' % as well as their directions depend on their position. We define unit basis vectors in the direction of (61' ¢2~ 8:1) as 2 + v 2 + I I E'. g: ... Found inside – Page 8-18Springer - Verlag Lecture Notes in Computer Science . Flocchini , P. , Mans , B. , and Santoro , N. Sense of direction : definition , properties and classes ... Found inside – Page 239Direction of footstep cycle : Direction is defined for each footstep cycle in this paper . Here we define the direction cycle to be a vector that starts from the takeoff and ends at the next foot strike . DV ; ( Direction Vector ) = FP ( footstrike ) – FPj ... Found inside – Page 135... density with position x along the repeat direction can be expressed as an ... These “ reciprocal - lattice ” vectors define a row of equally spaced ... Found inside – Page 176Boltzmann noted, however, that the direction of time—what Sir Arthur Eddington later ... In other words, the arrow of time is just a statistical definition. Found inside – Page 198Committee on Science, Space, and Technology. ... And you see the revisions as going in some totally opposite direction from Dr. KUSLER . Correct . Found inside – Page 88International Society for Hermeneutics and Science. ... can by definition do its job only when it is told in which direction of time it is meant to work. Found inside – Page 460The usual definition of work done is the product of the magnitude of a force into the component in its action line of the ... if the force and the competent displacement have the same direction ; negative work , if they have opposite directions . Found inside – Page 1299The distinction of these two questions , so described in the direction of the forces , and as negative frequently confounded by ethical writers , is due to Adam those described in the opposite direction . " Smith , but has since been strongly ... Found inside – Page 1155... Description, and Scientific Principles of Every Branch of Human Knowledge : with the Derivation and Definition of All the ... if they tend to turn the body in the same tion , provided the different points of the line are invariably direction , or equal ... Found inside – Page 149This definition question arises as to whether the deposits are Aino or pre - Aino . may be given a subjective meaning ... 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