Sentence examples for the gauge function from inspiring English sources

Henstock-Kurzweil integral is the generalized Riemann integral method by using the gauge function.

In the theorem, a more weak condition on the gauge function φ is required.

The gauge function was taken as functions of r and t in two different cases.

The gauge function is used to generalize the Riemann integral for a wider class of functions.

The gauge function β is considered as β = β(r) and β = β(t).

The Weyl connection is invariant under the gauge transformation where the gauge function is \(\lambda(x) = e^{\theta(x)}\).

The auxiliary functions used in the paper are more general than the gauge functions appearing in the literature.

Riemann integrability is obtained when in the definition of HK integrability the gauge functions δ are replaced by positive constants δ.

Furthermore, taking into account such a crucial condition in order to calculate prior and posterior estimates we consider the gauge functions of the form φ ( t ) = t ϕ ( t ) s for all  t ∈ J, (2.1).

Since the perceptual process by which she arrives at the belief that the gauge reads 'F' is reliable, and so is the process by which she arrives at the belief that the tank is full (given that the gauge functions completely properly).

But in the setting of b-metric space for some technical reasons we have to restrict ourselves to the gauge functions satisfying ∑ n = 0 ∞ s n φ n ( t ) < ∞ for all t ∈ J where s is the coefficient of b-metric space.