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EN
Lineament study over Hawal Basement Complex has not been fully mapped out for mineral exploration to generate revenue and employment. The study which was carried out using upward continuation filter, first and second vertical derivative filter, analytical signal filter, and Euler deconvolution filter were interpreted. It shows that the Basement Complex has high magnetic intensities with multiple fault lines, and three major trend directions of lineament NE-SW, NW-SE, and E-W respectively. The analytical signal filter gives additional evidence that there is tectonic control on the emplacement of these basic rocks (Younger basalt and Basalt). Their emplacement utilized pre-existing fractures or lineaments in the Precambrian Basement Complex and correlate with major river courses/foliation trends. These fault zones discovered around areas like Meringa, Biu, Shaffa, Shani, Song, and environs may serve as hosts for mineral exploration.
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W artykule wykażemy, że podstawowe twierdzenia klasycznego rachunku różniczkowego mają swoje odpowiedniki w rachunku różniczkowym wykładniczym. (fragment tekstu)
EN
The construction of the classical differential calculus is made of the approximation of every function by the linear function. The substitution of the linear functions by the exponential functions enables the construction of the exponential differential calculus. Exponential calculus is a natural language in the financial mathematics. In this article there are demonstrated some fundamental theorems of the exponential calculus. (original abstract)
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EN
In this note we propose a calculus for piece-wise linear functions, in order to obtain derivatives and second derivatives at points where the function is not differentiable. Such derivatives can be used to calculate coefficients of risk aversion at initial wealth for piece-wise linear utility functions for gains, which display loss aversion-and hence non differentiability at zero gains. (original abstract)
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