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/dports/math/openturns/openturns-1.18/python/src/
H A DCenteredFiniteDifferenceHessian_doc.i.in27 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}
H A DCenteredFiniteDifferenceGradient_doc.i.in25 \frac{\partial f_j}{\partial x_i} \approx \frac{f_j(x + \epsilon_i) - f_j(x - \epsilon_i)}
26 {2 \epsilon_i}
H A DNonCenteredFiniteDifferenceGradient_doc.i.in25 \frac{\partial f_j}{\partial x_i} \approx \frac{f_j(x + \epsilon_i) - f_j(x)}
26 {\epsilon_i}
/dports/math/reduce/Reduce-svn5758-src/libraries/crlibm/docs/latex/
H A Dsqrt.tex164 \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
/dports/math/crlibm/crlibm-1.0beta4/docs/latex/
H A Dsqrt.tex164 \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
/dports/math/octave-forge-interval/interval-3.2.0/src/crlibm/docs/latex/
H A Dsqrt.tex187 \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
/dports/graphics/blender/blender-2.91.0/intern/cycles/kernel/bvh/
H A Dbvh.h548 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()
/dports/devel/boost-docs/boost_1_72_0/boost/math/differentiation/
H A Dautodiff_cpp11.hpp139 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()
H A Dautodiff.hpp1072 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 …]
/dports/devel/hyperscan/boost_1_75_0/boost/math/differentiation/
H A Dautodiff_cpp11.hpp139 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()
H A Dautodiff.hpp1073 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 …]
/dports/devel/R-cran-BH/BH/inst/include/boost/math/differentiation/
H A Dautodiff_cpp11.hpp143 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()
/dports/science/py-scipy/scipy-1.7.1/scipy/_lib/boost/boost/math/differentiation/
H A Dautodiff_cpp11.hpp139 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()
/dports/devel/boost-libs/boost_1_72_0/boost/math/differentiation/
H A Dautodiff_cpp11.hpp139 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()
/dports/devel/boost-python-libs/boost_1_72_0/boost/math/differentiation/
H A Dautodiff_cpp11.hpp139 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()
/dports/math/stanmath/math-4.2.0/lib/boost_1.75.0/boost/math/differentiation/
H A Dautodiff_cpp11.hpp139 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()
/dports/science/afni/afni-AFNI_21.3.16/src/pkundu/meica.libs/mdp/nodes/
H A Dneural_gas_nodes.py274 epsilon_i=0.3, # initial epsilon argument
340 self.epsilon_i = epsilon_i
374 e_i = self.epsilon_i
/dports/science/py-mdp/MDP-3.5/mdp/nodes/
H A Dneural_gas_nodes.py279 epsilon_i=0.3, # initial epsilon argument
345 self.epsilon_i = epsilon_i
379 e_i = self.epsilon_i
/dports/math/openturns/openturns-1.18/python/doc/usecases/
H A Duse_case_chaboche.rst72 \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…
/dports/science/gromacs/gromacs-2021.4/docs/reference-manual/topologies/
H A Dparameter-files.rst71 \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}
/dports/misc/openmvg/openMVG-2.0/src/third_party/ceres-solver/docs/source/
H A Dautomatic_derivatives.rst142 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`.
/dports/math/ceres-solver/ceres-solver-2.0.0/docs/source/
H A Dautomatic_derivatives.rst142 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`.
/dports/science/dalton/dalton-66052b3af5ea7225e31178bf9a8b031913c72190/DALTON/test/cc2mm_atmvdw/
H A Dcc2mm_atmvdw.dal11 EPSMLT # (epsilon_ij=sqrt[epsilon_i*epsilon_j]: Option 2: .EPSADD)
H A Dcc2mm_atmvdw.pot25 6.708867 0.0001115 # Atomic parameters in order: sigma_i, epsilon_i
/dports/science/lammps/lammps-stable_29Sep2021/doc/src/
H A Dpair_resquared.rst118 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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