Physical Meaning- Both scalar and vector quantities describe physical properties or measurements of objects or phenomena in the physical world. Scalars describe quantities like distance, speed, temperature, energy, etc., while vectors describe quantities like displacement, velocity, force, acceleration, et...
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M. V. GorbatenkoMathematicsM.V. Gorbatenko, "On physical meaning of Weyl vector" [arXiv:1002.2748] [19] X.-M. Kuang and Y. Ling, "Viscous gravitational aether and the cosmological constant problem" JCAP 0910:024 (2009) [arXiv:0907.3180]...
vector field noun , Mathematics, Physics. a region, domain, set, etc., with a vector assigned at each point; vector function.Discover More Example Sentences You disappeared two centuries ago when the vector field collapsed. From Project GutenbergWord...
Detailed in a research paper published in Nature, the SynthID-Text watermarking technology actually alters the way Large Language Models work by changing certain words the models select for use in text generation. These changes are subtle and, according to DeepMind, "non-distortionary," meani...
Since they're similar in meaning, their vectors are positioned close to each other in the vector space. The word “sad” is represented by point (-5, -8), as it has an opposite meaning of joy, and their vectors are positioned far from each other....
Sentence embeddings embed the semantic meaning of entire phrases or sentences, rather than individual words. They’re typically generated with SBERT or other variants of sentence transformers. Sentence embeddings can embed representations of user queries, for use in search engines or question-answering ...
via another vector field, which leads us to theLie derivativeLvw≡[v,w]Lvw≡[v,w]; as noted above,LvLvis a derivation onvect(M)vect(M)due to the Jacobi identity. In this section we define the Lie derivative in terms of infinitesimal vector transport, and explore its geomet...
This is the exact same thing and carries the same meaning; it's just often written in this notation. The vector previously discussed only has two components for the x and y directions. However, a vector can be 3-dimensional and therefore have a third component for the z direction. In ...
In a one-dimensional embedding, we can understand graphs in terms of strong balance, because the bi-partition can be projected along the one dimensional line. In contrast, weakly balanced graphs are k-clusterable, meaning they can be partitioned into k factions. This also implies that representi...