Exact(2)
"What we have to do is make sure there are no singular weak links in the chain," said Guy J. P. Nordenson of Guy Nordenson & Associates, a structural engineer and a leading advocate of the seismic code, Local Law 17 of 1995.
Each canard orbit (xi _{i}), (i>0), makes i rotations around the singular weak canard (xi _{w}) (not shown).
Similar(58)
The singularity-reduced relation for the stress is particularly important since it is in a form which allows a weakly-singular, weak-form traction integral equation to be readily established.
Next, the singularity-reduced integral equations obtained for an isolated crack are extended to allow treatment of cracks in a finite domain, and a pair of weakly-singular, weak-form displacement and traction integral equations is established.
No Broadway producer ever went broke slipping the audience a placebo, but even for a bromide "Absurd Person Singular" is weak stuff.
The methods are based on singular perturbations, weak coupling and cost functionals for computing and analyzing the reduced order model.
The first inequality was a generally weak singular type, the second inequality was a like-weakly singular type with discontinuous functions, the third inequality was a type of weakly singular integral inequality with impulsive.
Remark 2.9 Note that in [14], Φ-admissible singular operators and weak Φ-admissible singular operators were introduced and their boundedness on generalized Orlicz-Morrey spaces was studied.
It is worth mentioning that because there are few results of multiple singular points becoming weak centers at the same time, our work is interesting.
By introducing a splitting parameter, we formulate the fractional Laplacian as the weighted integral of a weak singular function, which is then approximated by the weighted trapezoidal rule.
Nowadays, fractional calculus modeling methods are considered as powerful techniques to handle physical and engineering problems with memory feature and nonlocal property, due to the natural structure of fractional integrals and derivatives making them a global and weak singular integration [10].
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