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We also prove a weak equivalence between splitting BIBDs and splitting A-codes.
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To prove the weak equivalence between the K-functional and the modulus of smoothness on the unit sphere, we need the following lemma.
We will establish the weak equivalence between the K-functional and the modulus of smoothness on the unit sphere in the Ba space.
Therefore (beta ^o_*) does send weak equivalences between fibrant objects to weak equivalences, thus induces a functor begin{aligned} R^cdot beta ^o_*:{text {DSec}}((Delta I ^o,beta ^{o*}mathcal {C}^perp ) rightarrow {text {Ho}}(I^o,mathcal {C}^perp ) end{aligned}sending (E in {text {Sec}}((Delta I ^o,beta ^{o*}mathcal {C}^perp )) with fibrant replacement (E rightarrow E') to (beta ^o_*(E')).
The universality of free-fall, a concept formally known as the weak equivalence principle, is a cornerstone of modern physics.
equal, then the concept of weak equivalence plays an important role in the following.
One naturally expects a violation of the strong and weak equivalence principle of general relativity.
MICROSCOPE is a French space mission for testing the weak equivalence principle (WEP).
Their notion of physical equivalence was based on Fell's mathematical idea of weak equivalence (Fell 1960).
Then ({text {Sec}}(I,mathcal {C})) with pointwise weak equivalences has a natural model structure.
In doing so, he implies a moral equivalence between them.
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