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Henstock-Kurzweil integral is the generalized Riemann integral method by using the gauge function.
By using the gauge function, the generalized mass function is defined so that it can be used for a wider class of functions on fractal sets.
We introduce the new measure using the gauge function on fractal sets that gives a finer dimension in comparison with the Hausdorff and box dimension.
Using the gauge difference in reading, it was possible to get a new gauge calibration between the original gauge and the back-up gauge, which will solve the problem partially.
By using the gauge included atomic orbital (GIAO) approach [40, 41, 42], the chemical shielding isotropic (CSI) and chemical shielding anisotropic (CSA) parameters for 11B, 15N and 13C sites are calculated using Eqs.
Two potential issues have been raised by researchers using the gauge figure method.
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The NMR magnetic shielding and spin spin coupling constants were calculated using the gauge-independent atomic orbital (GIAO) method under DFT [30].
The spin spin coupling constants (J) were estimated from the previous optimized geometries by using the gauge-invariant atomic orbital (GIAO) method.
We use the gauge function introduced by Fang to gain a fixed point result in probabilistic G-metric spaces.
Here we use the gauge function used by Fang [16] to obtain a fixed point result in probabilistic G-metric spaces.
He went on to use the gauge for many more of the railways that he built in South and West Britain.
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