Sentence examples for equivalent to a relation from inspiring English sources
The dependence of late type stars is found to be equivalent to a relation between the X-ray surface flux and the stellar angular velocity.
A state s i is characterized by the value f ∈ F = {0,1,2,3} of each variable e ∈ E (entity, e.g. Ca, AntiOx), hence it is a vector (f1, …, f| E |) with f i ∈ F. The set of the transitions for all investigated initial conditions is equivalent to a relation Rsim ⊆ S × S on the states.
The stress-driven integral relation is equivalent to a differential problem with higher-order homogeneous constitutive boundary conditions, when the special bi-exponential kernel introduced by Helmholtz is considered.
He begins by showing that any choice of a simultaneity relation is equivalent to a choice of a velocity in the equation for local time in H.A. Lorentz's Versuch theory (Lorentz 1895).
In the case of equality for instance, we postulate a first-order relation "a=b" which is equivalent to "a satisfies all properties that b satisfies".
As a matter of fact, in 2008, 470 Technical Medical Institutes and Medical Teaching Institutes (Instituts des Techniques Médicales-ITM and Instituts d'Enseignement Médical-IEM, respectively, in French) were known, equivalent to an increase of 84% in relation to 1998.
This identification is equivalent to finding an [[integer relation algorithm|integer relation]] among the real numbers a and b; that is, it determines integers s and t such that "sa" + "tb" = 0. Euclid uses this algorithm to treat the question of [[Commensurability (mathematics)|incommensurable lengths]].
The modified rate constant is shown to be equivalent to Brønsted Bjerrum relation.
The American economy is ten times the size of Australia's, so in the United States an individual fortune equivalent to hers in relation to the national economy would be somewhere around two hundred billion dollars.
