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For example, the union of disjoint orthonormal bases of a vector space is an overcomplete tight frame with = =. A tight frame is a Parseval frame if A = B = 1 {\displaystyle A=B=1} . [ 19 ] Each orthonormal basis is a (complete) Parseval frame, but the converse is not necessarily true.
Frames are focused on explicit and intuitive representation of knowledge whereas objects focus on encapsulation and information hiding. Frames originated in AI research and objects primarily in software engineering. However, in practice, the techniques and capabilities of frame and object-oriented languages overlap significantly.
In this case, the first car is stationary and the second car is approaching from behind at a speed of v 2 − v 1 = 8 m/s. To catch up to the first car, it will take a time of d / v 2 − v 1 = 200 / 8 s, that is, 25 seconds, as before. Note how much easier the problem becomes by choosing a suitable frame of reference.
The form comes with two worksheets, one to calculate exemptions, and another to calculate the effects of other income (second job, spouse's job). The bottom number in each worksheet is used to fill out two if the lines in the main W4 form. The main form is filed with the employer, and the worksheets are discarded or held by the employee.
For example, to remember the first 8 digits of Pi, using the major system as well: 3: Picture a monkey walking on the Sun. 1: Picture a dog jumping over a shoe. 4: Picture a bottle of rum hanging from a tree. 1: Picture a tube connecting to a door. 5: Picture bees flying from a cup of lemonade as if it is a hive.
For example, if is a Riemannian manifold we saw above that it is natural to consider the orthonormal frame bundle of . The orthonormal frame bundle is just a reduction of the structure group of F G L ( M ) {\displaystyle F_{\mathrm {GL} }(M)} to the orthogonal group O ( n ) {\displaystyle \mathrm {O} (n)} .
A semantic network, or frame network is a knowledge base that represents semantic relations between concepts in a network. This is often used as a form of knowledge representation . It is a directed or undirected graph consisting of vertices , which represent concepts , and edges , which represent semantic relations between concepts , [ 1 ...
In relativity, the COM frame exists for an isolated massive system.This is a consequence of Noether's theorem.In the COM frame the total energy of the system is the rest energy, and this quantity (when divided by the factor c 2, where c is the speed of light) gives the invariant mass of the system: