Introduction Radiotherapy with small fields is used widely in newly developed techniques. Additionally, dose calculation accuracy of treatment planning systems in small fields plays a crucial role in treatment outcome. In the present study, dose calculation accuracy of two commercial treatment planning systems was evaluated against Monte Carlo method. Materials and Methods Siemens Once or linea...

A new procedure for calculating model coefficients from fluctuation data for fully developed turbulence is derived. This procedure differs from previous related methods in that it is constructed in a spatial rather than spectral representation. This has a number of advantages, such as reduced data set requirements, ability to represent spatially inhomogeneous systems such as the ones with curva...

The method of superposition and separation variables is applied to gain analytical solutions to the transient heat conduction for a two dimensional cylindrical fin. The temperature distributions are generalized for a linear combination of the product of Bessel function, Fourier series and exponential type for nine different cases. The solutions presented in this study can be used to verify the ...

In this paper, we have proposed a novel method of image representation on quantum computers. The proposed method uses the two-dimensional quantum states to locate each pixel in an image matrix with the normalized amplitude values of the image signal being coefficients of the quantum states. The two-dimensional quantum states are linear superposition of outer product of m-qubits row-location vec...

We present a method of integrating linear rational arithmetic into superposition calculus for first-order logic. One of our main results is completeness of the resulting calculus under some finiteness assumptions.

The various types of synthetic discriminant function (sdf) filter result in a weighted linear superposition of the training set images. Neural network training procedures result in a non-linear superposition of the training set images or, effectively, a feature extraction process, which leads to better interpolation properties than achievable with the sdf filter. However, generally, shift invar...