/dports/math/openturns/openturns-1.18/python/src/ |
H A D | CenteredFiniteDifferenceHessian_doc.i.in | 27 f_k(x + \epsilon_i + \epsilon_j) - 28 f_k(x + \epsilon_i - \epsilon_j) + 29 f_k(x - \epsilon_i - \epsilon_j) - 30 f_k(x - \epsilon_i + \epsilon_j)} 31 {4 \epsilon_i \epsilon_j}
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H A D | CenteredFiniteDifferenceGradient_doc.i.in | 25 \frac{\partial f_j}{\partial x_i} \approx \frac{f_j(x + \epsilon_i) - f_j(x - \epsilon_i)} 26 {2 \epsilon_i}
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H A D | NonCenteredFiniteDifferenceGradient_doc.i.in | 25 \frac{\partial f_j}{\partial x_i} \approx \frac{f_j(x + \epsilon_i) - f_j(x)} 26 {\epsilon_i}
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/dports/math/reduce/Reduce-svn5758-src/libraries/crlibm/docs/latex/ |
H A D | sqrt.tex | 164 \left( 1 + \epsilon_i \right) \cdot \left( 3 - m \cdot \hat{r}^2 \cdot 165 \left( 1 + \epsilon_i \right)^2 \right) - \hat{r}}{\hat{r}} \\ 166 & = & \frac{1}{2} \cdot \left( 1 + \epsilon_i \right) \cdot \left( 3 - m \cdot \frac{1}{m} \cdot \l… 167 \epsilon_i\right)^2 \right) - 1 \\ 168 & = & \frac{1}{2} \cdot \left( 1 + \epsilon_i \right) \cdot \left( 3 - 1 - 2 \cdot \epsilon_i - \ep… 170 & = & \left( 1 + \epsilon_i \right) \cdot \left( 1 - \epsilon_i - \frac{1}{2} \cdot \epsilon_i^2 172 & = & 1 - \epsilon_i - \frac{1}{2} \cdot \epsilon_i^2 + \epsilon_i - \epsilon_i^2 - \frac{1}{2} \cd… 173 & = & - \frac{3}{2} \cdot \epsilon_i^2 - \frac{1}{2} \cdot \epsilon_i^3
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/dports/math/crlibm/crlibm-1.0beta4/docs/latex/ |
H A D | sqrt.tex | 164 \left( 1 + \epsilon_i \right) \cdot \left( 3 - m \cdot \hat{r}^2 \cdot 165 \left( 1 + \epsilon_i \right)^2 \right) - \hat{r}}{\hat{r}} \\ 166 & = & \frac{1}{2} \cdot \left( 1 + \epsilon_i \right) \cdot \left( 3 - m \cdot \frac{1}{m} \cdot \l… 167 \epsilon_i\right)^2 \right) - 1 \\ 168 & = & \frac{1}{2} \cdot \left( 1 + \epsilon_i \right) \cdot \left( 3 - 1 - 2 \cdot \epsilon_i - \ep… 170 & = & \left( 1 + \epsilon_i \right) \cdot \left( 1 - \epsilon_i - \frac{1}{2} \cdot \epsilon_i^2 172 & = & 1 - \epsilon_i - \frac{1}{2} \cdot \epsilon_i^2 + \epsilon_i - \epsilon_i^2 - \frac{1}{2} \cd… 173 & = & - \frac{3}{2} \cdot \epsilon_i^2 - \frac{1}{2} \cdot \epsilon_i^3
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/dports/math/octave-forge-interval/interval-3.2.0/src/crlibm/docs/latex/ |
H A D | sqrt.tex | 187 \left( 1 + \epsilon_i \right) \cdot \left( 3 - m \cdot \hat{r}^2 \cdot 188 \left( 1 + \epsilon_i \right)^2 \right) - \hat{r}}{\hat{r}} \\ 189 & = & \frac{1}{2} \cdot \left( 1 + \epsilon_i \right) \cdot \left( 3 - m \cdot \frac{1}{m} \cdot \l… 190 \epsilon_i\right)^2 \right) - 1 \\ 191 & = & \frac{1}{2} \cdot \left( 1 + \epsilon_i \right) \cdot \left( 3 - 1 - 2 \cdot \epsilon_i - \ep… 193 & = & \left( 1 + \epsilon_i \right) \cdot \left( 1 - \epsilon_i - \frac{1}{2} \cdot \epsilon_i^2 195 & = & 1 - \epsilon_i - \frac{1}{2} \cdot \epsilon_i^2 + \epsilon_i - \epsilon_i^2 - \frac{1}{2} \cd… 196 & = & - \frac{3}{2} \cdot \epsilon_i^2 - \frac{1}{2} \cdot \epsilon_i^3
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/dports/graphics/blender/blender-2.91.0/intern/cycles/kernel/bvh/ |
H A D | bvh.h | 548 const int epsilon_i = 32; in ray_offset() local 558 ix += ((ix ^ __float_as_uint(Ng.x)) >> 31) ? -epsilon_i : epsilon_i; in ray_offset() 568 iy += ((iy ^ __float_as_uint(Ng.y)) >> 31) ? -epsilon_i : epsilon_i; in ray_offset() 578 iz += ((iz ^ __float_as_uint(Ng.z)) >> 31) ? -epsilon_i : epsilon_i; in ray_offset()
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/dports/devel/boost-docs/boost_1_72_0/boost/math/differentiation/ |
H A D | autodiff_cpp11.hpp | 139 fvar<RealType, Order> epsilon_i = fvar<RealType, Order>(1); // epsilon to the power of i in apply_coefficients_nonhorner() local 145 epsilon_i = epsilon_i.epsilon_multiply(i - 1, 0, epsilon, 1, 0); in apply_coefficients_nonhorner() 146 accumulator += epsilon_i.epsilon_multiply( in apply_coefficients_nonhorner() 187 fvar<RealType, Order> epsilon_i = fvar<RealType, Order>(1); // epsilon to the power of i in apply_derivatives_nonhorner() local 193 epsilon_i = epsilon_i.epsilon_multiply(i - 1, 0, epsilon, 1, 0); in apply_derivatives_nonhorner() 194 accumulator += epsilon_i.epsilon_multiply( in apply_derivatives_nonhorner()
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H A D | autodiff.hpp | 1072 fvar<RealType, Order> epsilon_i = fvar<RealType, Order>(1); // epsilon to the power of i in apply_coefficients_nonhorner() local 1079 epsilon_i = epsilon_i.epsilon_multiply(i - 1, 0, epsilon, 1, 0); in apply_coefficients_nonhorner() 1080 accumulator += epsilon_i.epsilon_multiply( in apply_coefficients_nonhorner() 1100 fvar<RealType, Order> epsilon_i = fvar<RealType, Order>(1); // epsilon to the power of i in apply_coefficients_nonhorner() local 1108 epsilon_i = epsilon_i.epsilon_multiply(i - 1, 0, epsilon, 1, 0); in apply_coefficients_nonhorner() 1109 accumulator += epsilon_i.epsilon_multiply(i, 0, f(i)); in apply_coefficients_nonhorner() 1164 fvar<RealType, Order> epsilon_i = fvar<RealType, Order>(1); // epsilon to the power of i in apply_derivatives_nonhorner() local 1171 epsilon_i = epsilon_i.epsilon_multiply(i - 1, 0, epsilon, 1, 0); in apply_derivatives_nonhorner() 1172 accumulator += epsilon_i.epsilon_multiply( in apply_derivatives_nonhorner() 1193 fvar<RealType, Order> epsilon_i = fvar<RealType, Order>(1); // epsilon to the power of i in apply_derivatives_nonhorner() local [all …]
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/dports/devel/hyperscan/boost_1_75_0/boost/math/differentiation/ |
H A D | autodiff_cpp11.hpp | 139 fvar<RealType, Order> epsilon_i = fvar<RealType, Order>(1); // epsilon to the power of i in apply_coefficients_nonhorner() local 145 epsilon_i = epsilon_i.epsilon_multiply(i - 1, 0, epsilon, 1, 0); in apply_coefficients_nonhorner() 146 accumulator += epsilon_i.epsilon_multiply( in apply_coefficients_nonhorner() 187 fvar<RealType, Order> epsilon_i = fvar<RealType, Order>(1); // epsilon to the power of i in apply_derivatives_nonhorner() local 193 epsilon_i = epsilon_i.epsilon_multiply(i - 1, 0, epsilon, 1, 0); in apply_derivatives_nonhorner() 194 accumulator += epsilon_i.epsilon_multiply( in apply_derivatives_nonhorner()
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H A D | autodiff.hpp | 1073 fvar<RealType, Order> epsilon_i = fvar<RealType, Order>(1); // epsilon to the power of i in apply_coefficients_nonhorner() local 1080 epsilon_i = epsilon_i.epsilon_multiply(i - 1, 0, epsilon, 1, 0); in apply_coefficients_nonhorner() 1081 accumulator += epsilon_i.epsilon_multiply( in apply_coefficients_nonhorner() 1101 fvar<RealType, Order> epsilon_i = fvar<RealType, Order>(1); // epsilon to the power of i in apply_coefficients_nonhorner() local 1109 epsilon_i = epsilon_i.epsilon_multiply(i - 1, 0, epsilon, 1, 0); in apply_coefficients_nonhorner() 1110 accumulator += epsilon_i.epsilon_multiply(i, 0, f(i)); in apply_coefficients_nonhorner() 1165 fvar<RealType, Order> epsilon_i = fvar<RealType, Order>(1); // epsilon to the power of i in apply_derivatives_nonhorner() local 1172 epsilon_i = epsilon_i.epsilon_multiply(i - 1, 0, epsilon, 1, 0); in apply_derivatives_nonhorner() 1173 accumulator += epsilon_i.epsilon_multiply( in apply_derivatives_nonhorner() 1194 fvar<RealType, Order> epsilon_i = fvar<RealType, Order>(1); // epsilon to the power of i in apply_derivatives_nonhorner() local [all …]
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/dports/devel/R-cran-BH/BH/inst/include/boost/math/differentiation/ |
H A D | autodiff_cpp11.hpp | 143 fvar<RealType, Order> epsilon_i = fvar<RealType, Order>(1); // epsilon to the power of i in apply_coefficients_nonhorner() local 149 epsilon_i = epsilon_i.epsilon_multiply(i - 1, 0, epsilon, 1, 0); in apply_coefficients_nonhorner() 150 accumulator += epsilon_i.epsilon_multiply( in apply_coefficients_nonhorner() 191 fvar<RealType, Order> epsilon_i = fvar<RealType, Order>(1); // epsilon to the power of i in apply_derivatives_nonhorner() local 197 epsilon_i = epsilon_i.epsilon_multiply(i - 1, 0, epsilon, 1, 0); in apply_derivatives_nonhorner() 198 accumulator += epsilon_i.epsilon_multiply( in apply_derivatives_nonhorner()
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/dports/science/py-scipy/scipy-1.7.1/scipy/_lib/boost/boost/math/differentiation/ |
H A D | autodiff_cpp11.hpp | 139 fvar<RealType, Order> epsilon_i = fvar<RealType, Order>(1); // epsilon to the power of i in apply_coefficients_nonhorner() local 145 epsilon_i = epsilon_i.epsilon_multiply(i - 1, 0, epsilon, 1, 0); in apply_coefficients_nonhorner() 146 accumulator += epsilon_i.epsilon_multiply( in apply_coefficients_nonhorner() 187 fvar<RealType, Order> epsilon_i = fvar<RealType, Order>(1); // epsilon to the power of i in apply_derivatives_nonhorner() local 193 epsilon_i = epsilon_i.epsilon_multiply(i - 1, 0, epsilon, 1, 0); in apply_derivatives_nonhorner() 194 accumulator += epsilon_i.epsilon_multiply( in apply_derivatives_nonhorner()
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/dports/devel/boost-libs/boost_1_72_0/boost/math/differentiation/ |
H A D | autodiff_cpp11.hpp | 139 fvar<RealType, Order> epsilon_i = fvar<RealType, Order>(1); // epsilon to the power of i in apply_coefficients_nonhorner() local 145 epsilon_i = epsilon_i.epsilon_multiply(i - 1, 0, epsilon, 1, 0); in apply_coefficients_nonhorner() 146 accumulator += epsilon_i.epsilon_multiply( in apply_coefficients_nonhorner() 187 fvar<RealType, Order> epsilon_i = fvar<RealType, Order>(1); // epsilon to the power of i in apply_derivatives_nonhorner() local 193 epsilon_i = epsilon_i.epsilon_multiply(i - 1, 0, epsilon, 1, 0); in apply_derivatives_nonhorner() 194 accumulator += epsilon_i.epsilon_multiply( in apply_derivatives_nonhorner()
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/dports/devel/boost-python-libs/boost_1_72_0/boost/math/differentiation/ |
H A D | autodiff_cpp11.hpp | 139 fvar<RealType, Order> epsilon_i = fvar<RealType, Order>(1); // epsilon to the power of i in apply_coefficients_nonhorner() local 145 epsilon_i = epsilon_i.epsilon_multiply(i - 1, 0, epsilon, 1, 0); in apply_coefficients_nonhorner() 146 accumulator += epsilon_i.epsilon_multiply( in apply_coefficients_nonhorner() 187 fvar<RealType, Order> epsilon_i = fvar<RealType, Order>(1); // epsilon to the power of i in apply_derivatives_nonhorner() local 193 epsilon_i = epsilon_i.epsilon_multiply(i - 1, 0, epsilon, 1, 0); in apply_derivatives_nonhorner() 194 accumulator += epsilon_i.epsilon_multiply( in apply_derivatives_nonhorner()
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/dports/math/stanmath/math-4.2.0/lib/boost_1.75.0/boost/math/differentiation/ |
H A D | autodiff_cpp11.hpp | 139 fvar<RealType, Order> epsilon_i = fvar<RealType, Order>(1); // epsilon to the power of i in apply_coefficients_nonhorner() local 145 epsilon_i = epsilon_i.epsilon_multiply(i - 1, 0, epsilon, 1, 0); in apply_coefficients_nonhorner() 146 accumulator += epsilon_i.epsilon_multiply( in apply_coefficients_nonhorner() 187 fvar<RealType, Order> epsilon_i = fvar<RealType, Order>(1); // epsilon to the power of i in apply_derivatives_nonhorner() local 193 epsilon_i = epsilon_i.epsilon_multiply(i - 1, 0, epsilon, 1, 0); in apply_derivatives_nonhorner() 194 accumulator += epsilon_i.epsilon_multiply( in apply_derivatives_nonhorner()
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/dports/science/afni/afni-AFNI_21.3.16/src/pkundu/meica.libs/mdp/nodes/ |
H A D | neural_gas_nodes.py | 274 epsilon_i=0.3, # initial epsilon argument 340 self.epsilon_i = epsilon_i 374 e_i = self.epsilon_i
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/dports/science/py-mdp/MDP-3.5/mdp/nodes/ |
H A D | neural_gas_nodes.py | 279 epsilon_i=0.3, # initial epsilon argument 345 self.epsilon_i = epsilon_i 379 e_i = self.epsilon_i
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/dports/math/openturns/openturns-1.18/python/doc/usecases/ |
H A D | use_case_chaboche.rst | 72 \sigma_i = G(\epsilon_i,R,C,\gamma) + (\epsilon_\sigma)_i, 76 The observations are the pairs :math:`\{(\epsilon_i,\sigma_i)\}_{i=1,...,n}`, i.e. each observation…
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/dports/science/gromacs/gromacs-2021.4/docs/reference-manual/topologies/ |
H A D | parameter-files.rst | 71 \mbox{V}_{ii} & = & C^{(6)}_{i} & = & 4\,\epsilon_i\sigma_i^{6} & 73 \mbox{W}_{ii} & = & C^{(12)}_{i} & = & 4\,\epsilon_i\sigma_i^{12} & 80 \mbox{W}_{ii} & = & \epsilon_i & \mbox{[ kJ mol$^{-1}$ ]} 100 \epsilon_{ij} & = & \sqrt{\epsilon_i\,\epsilon_j}
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/dports/misc/openmvg/openMVG-2.0/src/third_party/ceres-solver/docs/source/ |
H A D | automatic_derivatives.rst | 142 with :math:`n` infinitesimal units :math:`\epsilon_i,\ i=1,...,n` with 143 the property that :math:`\forall i, j\ :\epsilon_i\epsilon_j = 0`. Then 155 where the :math:`\epsilon_i`'s are implict. Then, using the same 173 f(x_1,..., x_n) = f(a_1, ..., a_n) + \sum_i D_i f(a_1, ..., a_n) \epsilon_i 176 coefficients of :math:`\epsilon_i`.
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/dports/math/ceres-solver/ceres-solver-2.0.0/docs/source/ |
H A D | automatic_derivatives.rst | 142 with :math:`n` infinitesimal units :math:`\epsilon_i,\ i=1,...,n` with 143 the property that :math:`\forall i, j\ :\epsilon_i\epsilon_j = 0`. Then 155 where the :math:`\epsilon_i`'s are implicit. Then, using the same 173 f(x_1,..., x_n) = f(a_1, ..., a_n) + \sum_i D_i f(a_1, ..., a_n) \epsilon_i 176 coefficients of :math:`\epsilon_i`.
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/dports/science/dalton/dalton-66052b3af5ea7225e31178bf9a8b031913c72190/DALTON/test/cc2mm_atmvdw/ |
H A D | cc2mm_atmvdw.dal | 11 EPSMLT # (epsilon_ij=sqrt[epsilon_i*epsilon_j]: Option 2: .EPSADD)
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H A D | cc2mm_atmvdw.pot | 25 6.708867 0.0001115 # Atomic parameters in order: sigma_i, epsilon_i
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/dports/science/lammps/lammps-stable_29Sep2021/doc/src/ |
H A D | pair_resquared.rst | 118 The :math:`\epsilon_i` and :math:`\epsilon_j` coefficients are defined 125 atom type I. If all the :math:`\epsilon_i` values are zero, they are 128 atom type J. If all three :math:`\epsilon_i` values are zero, they are 129 ignored. Thus the typical way to define the :math:`\epsilon_i` and
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