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We study the process of multiple Lebesgue integration on time scales.
The total amount of NH3 emitted during each interval of measurement was calculated separately for each treatment by the integration on time basis of the measurements carried out with MGM, using linear, exponential and power function.
Recently, Benkhettou et al. developed a conformable fractional calculus theory on arbitrary time scales [48], and established the basic tools for fractional differentiation and fractional integration on time scales.
Recently, using the above derivatives and integrations, Sheng et al. [30] (see also [27 29]) have established the diamond-α derivative and the diamond-α integration on time scales.
This detector is capable of collecting full wavelength spectra with good signal to noise ratio at an integration on time of 1 milli sec.
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Now we shall define Δ-integration on time scales.
Indeed, system (1) was solved 1000 times via numerical integration on the time interval T = [0, 200], using in each run a different set of parameter values.
Traditional methods for cash flow analysis are based on the manual integration of time and cost information.
In [8] the integration on a time scale is investigated and its connections with standard Lebesgue integral are considered in [9].
where s is the variable of integration on the time domain and t corresponds to the shift of exposure.
A function f ( t ) on T is said to be differentiable at t if its derivative exists at t, ∀ t ∈ T. Integration on a time scale can be viewed as an anti-derivative.
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