calculus of vectors
Fr.: calcul vectoriel
The area of calculus dealing with differentiation and integration of vector-valued functions; a sub-area of tensor calculus.
Fr.: vecteur propre
Math.: A nonzero vector v whose direction is not changed by a given linear transformation T; that is, T(v) = λ v for some scalar λ.
Fr.: vecteur de Killing
Named after the German mathematician Wilhelm Killing (1847-1923); → vector.
magnetic vector potential
tavand-e bordâri-ye meqnâtisi
Fr.: vecteur potentiel magnétique
Fr.: vecteurs orthogonaux
Two non-zero vectors which are perpendicular, i.e. their → scalar product is zero.
Fr.: vecteurs orthonormaux
Two non-zero vectors that are → orthogonal and have magnitude 1.
Fr.: vecteur de Poynting
The amount of electromagnetic energy flowing through unit area, perpendicular to the direction of energy propagation, per unit time, given by (c/2 π)[E x H]. → Poynting's theorem.
bordâr-e šo'â'i (#)
Fr.: rayon vecteur
Math.: In a system of polar or spherical coordinates, a line joining a point
to the origin.
Fr.: vecteur de rougissement
A vector indicating the direction in which interstellar reddening moves the position of a star in a multi-dimensional space of color indices.
Fr.: vecteur relatif
tensor-vector-scalar (TeVeS) theory
A theory put forward to provide a basis for a relativistic generalization of the → MOdified Newtonian Dynamics (MOND) paradigm. TeVeS is based on three dynamical fields: a tensor field, a vector field, and a scalar field. In contrast to general relativity, it has two metrics, an Einstein metric and a physical metric. TeVeS has attracted considerable attention, since it can explain many galactic and cosmological observations without the need for → dark matter. Proposed by J. D. Bekenstein, 2004, "Relativistic gravitation theory for the modified Newtonian dynamics paradigm", Phys. Rev. D, 70, 083509, arXiv:astro-ph/0403694.
Fr.: vecteur unité
A vector of length 1, also called a direction vector.
Any physical quantity which requires a direction to be stated in order to define it completely, for example velocity. Compare with → scalar.
From L. vector "one who carries or conveys, carrier," from p.p. stem of vehere "carry, convey;" cognate with Pers. vâz (in parvâz "flight"); Av. vaz- "to draw, guide; bring; possess; fly; float," vazaiti "guides, leads" (cf. Skt. vah- "to carry, drive, convey," vahati "carries," pravaha- "bearing along, carrying," pravāha- "running water, stream, river;" O.E. wegan "to carry;" O.N. vegr; O.H.G. weg "way," wegan "to move," wagan "cart;" M.Du. wagen "wagon;" PIE base *wegh- "to drive").
Bordâr "carrier," agent noun from bordan "to carry, transport" (Mid.Pers. burdan; O.Pers./Av. bar- "to bear, carry," barəθre "to bear (infinitive);" Skt. bharati "he carries;" Gk. pherein "to carry;" L. ferre "to carry;" PIE base *bher- "to carry").
Fr.: analyse vectorielle
vector angular velocity
bordâr-e tondâ-ye zâviye-yi
Fr.: vecteur de vitesse angulaire
Of a rotating body, a vector of magnitude ω (→ angular velocity) pointing in the direction of advance of a right-hand screw which is turned in the direction of rotation.
Fr.: boson vectoriel
In nuclear physics, a → boson with the spin quantum number equal to 1.
Fr.: calcul vectoriel
The study of vector functions between vector spaces by means of → differential and integral calculus.
Fr.: densité de vecteur
meydân-e bordâri (#)
Fr.: champ vectoriel
Fr.: fonction vectorielle
A function whose value at each point is n-dimensional, as compared to a scalar function, whose value is one-dimensional.