scalar product sentence in Hindi
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- The Euclidean space itself carries a natural structure of Riemannian manifold ( the tangent spaces are naturally identified with the Euclidean space itself and carry the standard scalar product of the space ).
- When the scalar product is expressed in terms of the right ascension \ alpha and declination \ delta of the Sun ( index \ odot ) and of the extrasolar object this becomes:
- For two einselected elements of the entangled system's state to interfere, both the original system and the measuring in both elements device must significantly overlap, in the scalar product sense.
- The least-squares estimator is simply an estimation of an orthogonal projection, using the Euclidean scalar product in \ mathbb { R } ^ n instead of the one defined for random variables.
- Denotes the microcanonical equilibrium distribution . " Fast " variables, by definition, are orthogonal to all functions G ( A ( \ Gamma ) of A ( \ Gamma ) under this scalar product.
- Now I would like to add axioms concerning the relation of perpendicularity between lines in order to reach Euclidean geometry ( with a scalar product that is well-defined up to a constant multiple ).
- The sum and scalar action are defined on say the direct sum ( equivalently the direct product ) of vector spaces ( and even then only over a common base field for the scalar product ).
- And by projecting the momentum equation on the flow direction, i . e . along a " streamline ", the cross product disappears due to a vector calculus identity of the triple scalar product:
- Here \ hat { P } is an ordering operator, the dot stands for a scalar product and \ mathbf { q } and \ mathbf { q _ 0 } are two points on \ Gamma.
- However, I do use probability theory to prove that the regression problem is equivalent to an orthogonal projection given the scalar product \ langle X, Y \ rangle : = \ mathbb { E } [ XY ].
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