In 1908, Ritz laid out his famous method for determining frequencies and mode shapes, choosing multiple admissible displacement functions, and minimizing a functional involving both potential and kinetic energies.
Clinicaltrial.gov: NCT02246335 How femoral neck fractures in aged patients should be treated are determined by the degree of displacement, age, functional demands, surgeon preference and risk for complications associated with cognitive function and degree of physical fitness [ 1– 7].
Indications for surgical treatment are usually based on factors like age, number of fragments, degree of displacement, baseline functional status of the patient, hand dominance, and surgical experience of the treating physician [36].
"This ovarian teratoma could have been the cause of this woman's death, because sometimes the development of teratomas results in displacement and functional disturbances of adjacent organs," the researchers write.
They found no correlation between residual displacement and functional outcome, including pain.
For displacement convex functionals in the probability space equipped with the Monge Kantorovich metric we prove the equivalence between the gradient and functional type Łojasiewicz inequalities.
In this case again, the match between phenotypic trait and gene presence is usually imperfect, primarily because of gene displacements and functional takeovers, or, in other words, relatively frequent functional convergence of genes at the molecular level, when different species use proteins with unrelated sequence and structure to perform a molecular function that results in the same phenotype.
Displacements at specific functional areas, main functionality, and mode frequency are considered to determine the properties of an individual shape to meet the stated criteria.
