Sentence examples for functions equal to from inspiring English sources

ForN=2 the kernel reduces to a single integral of elementary functions, equal to the local spin-flip propagator in a one-dimensional tight-binding antiferromagnet.

The work considers shells of a stepped variable thickness when a thickness variation is set by means of unit bar graph functions equal to a difference of two unit functions.

In addition, the crisp region is the region where (mu _{il}left [ zeta _{i}(t)right ] =1) for some rules l, and the rest of membership functions equal to zero.

Under this representation, w j (d i ) is equal to the raw frequency of a stemmed word form, with n (the number of feature functions) equal to the number of distinct words remaining after document processing.

w/t/l denotes that the proposed ATMDE wins in w functions, equals to t functions, and loses in l functions, compared with AATM algorithm.

The walls are distensible, allowing the vessels to accommodate the stroke volume of the right ventricle, which is a necessary function equal to that of the left ventricle.

The ideal correlator radius makes the derivative function equal to zero at point.

In this case the constant function equal to 0 is a solution of (13).

Finally, is the rectangular function, equal to 1 when is between and 0 elsewhere.

where L is the Langevin function equal to: Lleft( mH/kTright)=operatorname{cth}left( mH/kTright -kT/ mH/kTright -kT/

A single translating Gaussian function, equal to that used in Figure 3, but without adding noise and fixing the flow vector to (1, 1) pixel/frame is considered.