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His System der analytischen Geometrie (1835; "System of Analytic Geometry") introduced the use of linear functions in place of the usual coordinate systems.
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The uptake curve was parameterized using a combination of linear functions from 0 to 24 h (first contribution) and a mono-exponential function from 24 h to infinity (second contribution).
Results indicated that using a combination of linear functions for activity and transferring of this artificial neural network, in addition to the lowest error, has also provided a more coherent response.
The interaction forces developed at contact points are determined using linear functions of the deformations of the spring and/or spring-slip surfaces and resolved into normal and tangential components.
In this section, we show some approximations of unknown functions by using four linear functions.
Thus, using the linear approximations derived from Equation 3 in Bauch et al. (2009) [ 12] for both age groups would provide a conservative estimate of herd effect, while using the linear functions fitted to data from this structured literature review would provide a less conservative estimate of herd effect.
In the case of swimming speed we used linear functions as the main purpose of the test was not to describe the exact function, but rather to test for a positive slope according to our theoretical predictions.
Plutonium flows through both reactor types are characterized by using linear functions of the Pu grade in new fuels.
By fitting the velocity data using linear functions of temperature, we obtained the temperature derivative ∂V p/∂T = -0.52 × 10-3 km s-1°C-1.
By fitting the velocity data using linear functions of temperature, we obtained ∂V p/∂T = -0.28 × 10-3 km s-1°C-1.
By fitting velocity data using linear functions of pressure, we obtained the pressure derivative ∂V p/∂P = 0.29 km s-1 GPa-1.
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