Sentence examples for equivalent to the function from inspiring English sources

Proof. is equivalent to the function, which is decreasing.

Note that and therefore the claim is equivalent to the function being decreasing on.

Note that and therefore the claim is equivalent to the function being increasing on.

Note that p ∞ is equivalent to the function m both at 0 and at ∞ in terms of asymptotic behavior.

We observe that the condition (h0) holds, for example, if Ω is an unbounded open set with the cone property, or if the open set Ω has not the cone property but the weight function ρ is equivalent to the function dist (see [6]).

The weak formulation (2) is equivalent to the function equation left { textstylebegin{array}{l} frac{mathrm{d}u}{mathrm{d}t}+mu Au+B u)+G u)=f x,t),quad mbox{for }t>tau, u tau)=u_{tau}, end{array}displaystyle right.

Continue until the point where the tangent line crosses is equivalent to the functions zero.

So, the more standard treatment of the meanings of predicates is really equivalent to the use of propositional functions.

Aditionally, the aggregability function (equivalent to the matching function in Pub-Sub systems) is also defined by the programmer, allowing Radiator to have much more flexible rules and to take advantage of the current context of its users.

The model implies that this adjusted cost of the drug combination, as a function of Aeff, is functionally equivalent to the cost function f(x) for a single drug.

The first term inside the absolute value in our utility function is the equivalent to the utility function used in the SRE.