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Riemann curvature tensor
tânsor-e xamidegi-ye Riemann
Fr.: tenseur de courbure de Riemann
A 4th → rank tensor that characterizes the deviation of the geometry of space from the Euclidean type. The curvature tensor Rλμνκ is defined through the → Christoffel symbols Γλμν as follows: Rλμνκ = (∂Γλμκ)/(∂xν) - (∂Γλμν)/(∂xκ) + ΓημκΓλην - ΓημνΓληκ.
→ Riemannian geometry; → curvature; → tensor.
Fr.: théorie scalaire-tensorielle
An alternative to the standard → general relativity of gravity that contains not only the → tensor field (or → metric), but also a → scalar field. In this formalism, the → gravitational constant is considered to vary over time. As a consequence, the measured strength of the gravitational interaction is a function of time. Same as → Jordan-Brans-Dicke theory.
Fr.: 1) phrase; 2) sentence
1) Grammar: A grammatical unit of one or more words that expresses
an independent statement, question, request, command, exclamation,
etc., and that typically has a subject as well as a predicate, as in
John is here. or Is John here? (Dictionary.com).
M.E., from O.Fr. sentence "judgment, decision; statement of authority," from L. sententia "thought, opinion; judgment," also "a thought expressed," from sentientem, p.p. of sentire "be of opinion, feel, perceive."
Sahân, related to soxan, → speech and pâsox, → response; Mid.Pers saxwan "speech, word;" O.Pers. θanh- "to declare, say;" Av. səngh- (sanh-) "to declare;" Proto-Ir. *sanh- "to declare, explain;" cf. Skt. śams- "to praise, recite;" L. censere "to estimate, think; decide;" PIE *kens- "to announce, proclaim" (Cheung 2007).
Pertaining to or of the nature of a → sentence.
Fr.: logique des propositions, ~ phrastique
Same as → propositional logic.
→ sentential; → logic.
Fr.: tenseur antisymétrique
A tensor that is the negative of its → transpose. For example, a second-order covariant tensor Ajk if its components satisfy the equality: Ajk = - Akj. Also called antisymmetric tensor.
→ skew; → symmetric; → tensor.
Fr.: intensité de son
The average → sound power passing through a unit area perpendicular to the direction that the sound is traveling. It is usually expressed in watts per square meter.
sound intensity level
tarâz-e dartanuyi-ye sedâ
Fr.: niveau de l'intensité de son
The expression of sound intensity in decibel units. The sound intensity level (LI), in decibels, is computed as: LI = 10 log (I/I0), where I is the measured sound intensity and I0 is the reference intensity (1 x 10 -12 watt per square meter).
Fr.: intensité spécifique
A measure of the amount of radiation received per unit solid angle per unit time per unit area normally from an element of surface.
To be opposite and delimit the extent of an angle or side of a geometric figure.
From L. subtendere "to stretch beneath," from → sub- + tendere "to stretch," cognate with Pers. târ "string," tanidan "to weave," as below.
Zirtânidan from zir-, → sub-, + tânidan from tân "thread, warp of a web," tâl "thread" (Borujerdi dialect), târ "thread, warp, string," related to tur "net, fishing net, snare," from tanidan, tan- "to spin, twist, weave;" Mid.Pers. tanitan; Av. tan- "to stretch, extend;" cf. Skt. tan- to stretch, extend;" tanoti "stretches," tántra- "warp; essence, main point;" Gk. teinein "to stretch, pull tight;" L. tendere "to stretch, as above; Lith. tiñklas "net, fishing net, snare," Latv. tikls "net;" PIE base *ten- "to stretch."
Fr.: angle sous-tendu
An angle whose two sides pass through the endpoints of an arc.
Fr.: tension superficielle
The inward → attraction of the → molecules at the → surface of a → liquid. The reason is that the molecules at the surface do not have other like molecules on all sides of them and consequently they cohere more strongly to those directly associated with them on the surface. Also called surface energy and capillary forces.
Fr.: tenseur symétrique
A tensor that is → invariant under any → permutation of its indices (→ index). In other words, a tensor that equals its → transpose. For example, a second-order → covariant tensor Ajk if its components satisfy the equality: Ajk = Akj.
A cardinal number, nine plus one.
M.E. ten(e), tenn(e), O.E. ten(e), tien(e); from P.Gmc. *tekhan (cf. O.S. tehan, O.N. tiu, Dan. ti, Du. tien, O.H.G. zehan, Ger. zehn "ten"), cognate with Pers. dah, as below.
Dah, from Mid.Pers. dah "ten;" Av. dasa "ten;" cf. Skt. dáśa- "ten;" Gk. deka "ten;" L. decem "ten;" O.Ir. deich; Lith. dešimtis "ten;" PIE base *dekm.
Stretched tight, as a cord, fiber, etc.; drawn taut; rigid.
From L. tensus, p.p. of tendere "to stretch," → tension.
Tanu "stretched, strained," from tan + -u suffix of excess. The first element tan, from tanidan "to spin, twist, weave" (Mid.Pers. tanitan; Av. tan- to stretch, extend;" cf. Skt. tan- to spin, stretch;" tanoti "stretches," tantram "loom;" Gk. teinein "to stretch, pull tight;" L. tendere "to stretch;" PIE base *ten- "to stretch"), Pers. târ "string," tân "thread," tur "fishing net, net, snare," and tâl "thread" (Borujerdi dialect) belong to this family; variants tanta "cobweb," tanadu, tafen, kartané, kârtané, kâtené, Pashtu tanistah "cobweb;" cf. Skt. tantu- "cobweb, thread, string").
Of or pertaining to → tension.
From M.L. tensilis "capable of being stretched," from L. tensus, p.p. of tendere "to stretch," → tension.
Taneši, related to taneš, → tension.
Fr.: force de traction
The force tending to stretch (or produce tension in) an object
General: The act of stretching or straining; the state of being
stretched or strained.
M.E., from M.Fr. tension, from L. tensionem (nominative tensio) "a stretching," from tensus, p.p. of tendere "to stretch," cognate with Pers. taneš, as below.
Taneš, verbal noun from tanidan "to spin, twist, weave;" Mid.Pers. tanitan; Av. tan- to stretch, extend;" cf. Skt. tan- to spin, stretch;" tanoti "stretches," tantram "loom;" Gk. teinein "to stretch, pull tight;" L. tendere "to stretch;" PIE base *ten- "to stretch"), Pers. târ "string," tân "thread," tur "fishing net, net, snare," and tâl "thread" (Borujerdi dialect) belong to this family; variants tanta "cobweb," tanadu, tafen, kartané, kârtané, kâtené, Pashtu tanistah "cobweb;" cf. Skt. tantu- "cobweb, thread, string."
A system of numbers or functions where components obey a certain law of
transformation when the variables undergo a linear transformation.
A tensor may consist of a single number, in which case it is
referred to as a tensor of order zero, or simply a → scalar.
The tensor of order one represents a → vector.
Similarly there will be tensors of order two, three, and so on.
Agent noun of tense (v.) → tension.
Fr.: analyse tensorielle
A method of calculation in higher mathematics based on the properties of tensors.
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