Compliance was derived from a mathematical model previously described [ 18], introducing an equivalence criteria between T and the internal pressure (P), and between ε and the diameter (D).
See Einstein 1907j (Vol. 2, Doc. 47), §§17-20, whEinsteinteintroducesces the equivalence principle and explores some of its consequences.
We introduce an equivalence relation between difference families which declare two difference families to be similar if one can be obtained from the other by changing the signs of some base blocks.
We introduce an equivalence relation between cycles.
In the present paper, we introduce an equivalence on the class of t-norms on ( [ 0, 1 ], ≤, 0, 1 ) based on the equality of the sets of all incomparable elements with respect to ⪯ T. The paper is organized as follows.
Fuzzy quotient space theory introduces fuzzy equivalence relation into the construction of quotient space, in which different threshold values of the membership function will lead to quotient spaces of different grain sizes.
For (kin{mathbb{Z}}), (kgeq2), we introduce an equivalence relation '(sim_{k})' in G as follows: ((x,t,m)) and ((tilde{x},tilde{t},j)) in G are '(sim_{k})' equivalent if (x=tilde{x}), (t=tilde{t}) and (m-j) is an integer multiple of k.
This introduces an equivalence relation among MUL-trees with potential applications to comparing MUL-trees.
By introducing the time temperature equivalence principle, a shift factor obeying to an Arrhenius law is derived, and master curves are built as well for the average molar mass as for the ultimate mechanical properties.
In addition, the proposed modifications are generalized by introducing a partial damage equivalence factor (λ5) which takes into account the effect of repetition in influence lines.
