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/dports/devel/tcllib/tcllib-1.20/modules/math/
H A Dbignum.test223 1 1 eq
228 10000000 10000000 eq
233 100000000000 100000000000 eq
238 1000000000000000000000 1000000000000000000000 eq
276 1000000000000000000000 -1000000000000000000000 eq
295 1 gt eq
298 0 eq lt
341 if {! [::math::bignum::eq [::math::bignum::mul $n 1] $n]} {
404 if {! [::math::bignum::eq [::math::bignum::div $a 1] $a]} {
414 set two [::math::bignum::fromstr 2]
[all …]
/dports/devel/tcllibc/tcllib-1.20/modules/math/
H A Dbignum.test223 1 1 eq
228 10000000 10000000 eq
233 100000000000 100000000000 eq
238 1000000000000000000000 1000000000000000000000 eq
276 1000000000000000000000 -1000000000000000000000 eq
295 1 gt eq
298 0 eq lt
341 if {! [::math::bignum::eq [::math::bignum::mul $n 1] $n]} {
404 if {! [::math::bignum::eq [::math::bignum::div $a 1] $a]} {
414 set two [::math::bignum::fromstr 2]
[all …]
/dports/graphics/openexr/openexr-3.1.4/docs/
H A DTheoryDeepPixels.rst67 :label: two
95 …nd the material is transparent. Subsituting :math:`T` into :eq:`absorb` and :eq:`two` combined alp…
102 :math:`\alpha_1` and :math:`\alpha_2` are the alpha values of the two samples.
275 Substituting for :math:`\mathbf{c}` from :eq:`little` gives
323 Now, consider combining two samples :math:`a` and :math:`b` together.
334 each location, there are now two light sources, :math:`\mathbf{c_a}` and
343 :math:`\mathbf{c_a}` and :math:`\mathbf{c_b}` from :eq:`little` gives
365 :eq:`solve`. Substituting into both top and bottom of :eq:`long`
381 :math:`\alpha_b=0` and :math:`T_b=1`. From :eq:`transparent`
410 :math:`\mathbf{C_c}` when :math:`\alpha_b=1`. Equation :eq:`combine`
[all …]
/dports/misc/openvdb/openvdb-9.0.0/openvdb/openvdb/unittest/
H A DTestGridTransformer.cc42 two = one + 1, in transformGrid()
71 inGrid->fill(CoordBBox(Coord(8), Coord(15)), two, tileIsActive); in transformGrid()
81 EXPECT_TRUE(openvdb::math::isExactlyEqual(inAcc.getValue(Coord(12)), two)); in transformGrid()
127 if (!omin.eq(bbox.min().asVec3i(), bboxTolerance) || in transformGrid()
128 !omax.eq(bbox.max().asVec3i(), bboxTolerance)) in transformGrid()
136 EXPECT_TRUE(omin.eq(bbox.min().asVec3i(), bboxTolerance)); in transformGrid()
137 EXPECT_TRUE(omax.eq(bbox.max().asVec3i(), bboxTolerance)); in transformGrid()
143 EXPECT_TRUE(openvdb::math::isExactlyEqual(transformTiles ? two : background, in transformGrid()
200 math::Transform::Ptr xform = math::Transform::createLinearTransform(); in TEST_F()
280 EXPECT_TRUE(outM.eq(m)); in TEST_F()
[all …]
/dports/math/openturns/openturns-1.18/python/doc/theory/data_analysis/
H A Dkernel_smoothing.rst45 …AMISE(\hat{p}) & = & \mbox{two first terms in the series expansion with respect to $n$ in } MISE(\…
112 Relation :eq:`AMISE` requires the evaluation of the quantity :math:`\Phi_4`.
146 - Relation :eq:`AMISE` defines :math:`h_{AMISE}(K)` as a function of :math:`\Phi_4` we denote here …
154 :eq:`EstimPhirFin` evaluated with its optimal parameter :math:`h^{(4)}_{AMSE}`
169 - Relations :eq:`AMISE` and :eq:`h4` lead to the new one:
183 - Relation :eq:`h4hAmise` depends on both terms :math:`\Phi_4` and
184 :math:`\Phi_6` which are evaluated with their estimators defined in :eq:`EstimPhirFin`
212 Then, to summarize, thanks to relations :eq:`rel1`, :eq:`rel2`, :eq:`rel3`, :eq:`g12` and :eq:`Phi6…
307 - two sub-samples are extracted from the initial sample,
311 its results two samples within the range :math:`]min-h, min]` and :math:`[max, max+h[`,
[all …]
/dports/science/gromacs/gromacs-2021.4/docs/reference-manual/
H A Daverages.rst35 Using :eq:`eqns. %s <eqnvar1>` and
73 :eq:`eqn. %s <eqnvarpartial>` becomes
123 Using :eq:`eqns. %s <eqnXpartial>` and
142 information at time :math:`p` using :eq:`eqns. %s <eqnsimplevar0>` and
143 :eq:`%s <eqnsimplevar1>`:
150 Combining two simulations
153 Another frequently occurring problem is, that the fluctuations of two
155 two simulations (A) of :math:`n` and (B) of :math:`m` steps, in which
164 When we want to compute the partial variance from the two components we
204 :eq:`eqn. %s <eqnpscomb>` to obtain:
[all …]
/dports/science/gromacs/gromacs-2021.4/docs/reference-manual/algorithms/
H A Dperiodic-boundary-conditions.rst11 Periodic boundary conditions in two dimensions.
45 cell) is defined by the 3 box vectors :math:`{\bf a}`,\ :math:`{\bf b}`
60 Equations :eq:`%s <eqnboxrot>` can always be satisfied by
61 rotating the box. Inequalities (:eq:`%s <eqnboxshift>`) and
62 (:eq:`%s <eqnboxshift2>`) can always be satisfied by adding
159 spherical or flexible molecule in solvent. There are two different
161 :eq:`%s <eqnboxrot>`, :eq:`%s <eqnboxshift>` and
162 :eq:`%s <eqnboxshift2>`. The program :ref:`editconf <gmx editconf>`
164 xy-plane. This orientation was chosen because the first two box vectors
189 that edge *plus* two times the cut-off radius :math:`R_c`. It is,
[all …]
H A Dfree-energy-calculations.rst44 If we want to compute the difference in free energy of binding of two
47 :eq:`eqn. %s <eqnddg>` to compute the desired property.
49 Free energy differences between two molecular species can be calculated
64 making :math:`H` a function of a *coupling parameter* :math:`\lambda:
76 :math:`Q` of an :math:`N,V,T` ensemble, which is assumed to be the
79 related to the partition function :math:`\Delta` of an :math:`N,p,T`
92 where :math:`\beta = 1/(k_BT)` and :math:`c = (N! h^{3N})^{-1}`. These
103 with a similar relation for :math:`dG/d\lambda` in the :math:`N,p,T`
123 system A at pressure :math:`p` and volume :math:`V` and ending with
151 |Gromacs| offers the possibility to integrate :eq:`eq. %s <eqdelA>` or eq.
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/dports/math/openturns/openturns-1.18/python/doc/theory/probabilistic_modeling/
H A Darma_process.rst28 We introduce the homogeneous system associated to :eq:`dimn`:
35 To get stationary solutions of :eq:`dimn`, it is necessary to get its
36 characteristic polynomial defined in :eq:`PolPhi`:
43 Thus the solutions of :eq:`dimnHom` are of the form
45 the polynomials :math:`\Phi(\vect{r})` defined in :eq:`PolPhi` and
60 the previous condition :eq:`Modul`. The roots :math:`\vect{r}_i`, are the
110 :math:`\vect{X}_2(\omega,t)` two distinct solutions of :eq:`dimn`
111 associated to two distinct initial states, then, the process
113 is solution of the homogeneous equation associated to :eq:`dimn` and
114 then decreases with time under the condition :eq:`Modul`. Let us note
[all …]
H A Dprocess_transformation.rst7 a field function :math:`f_{dyn}` of another process :math:`X`:
9 .. math::
23 :math:`f_{dyn}` is defined in :eq:`dynFct`.
28 | The library proposes two kinds of field function: the value
29 functions defined in :eq:`spatFunc` and the vertex-value functions defined
30 in :eq:`tempFunc`.
41 .. math::
56 .. math::
63 If the transformation of the process :math:`X` into :math:`Y`
71 .. math::
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/dports/lang/coffeescript/coffeescript-2.6.1/test/
H A Dfunction_invocation.coffee116 math = {
121 ok math.add(5, 5) is 10
122 ok math.anonymousAdd(10, 10) is 20
123 ok math.fastAdd(20, 20) is 40
165 sum = (one, two) -> one() + two()
182 sum = (one, two) -> one() + two()
586 two = 2
589 eq two, 2
593 eq two, 2
608 two = 2
[all …]
/dports/textproc/py-docutils/docutils-0.17.1/test/functional/input/data/
H A Dmath.txt4 Docutils supports inline math with the prefix or postfix ``:math:``
6 \frac{\pi}{4} d^2`:math:, as well as displayed math via the
9 .. math::
18 See `eq:M`_ and `eq:schrödinger`_ below.
22 .. math:: :name: eq:M
31 .. math::
42 .. math:: :name: eq:schrödinger
76 .. math::
85 Math split over two lines: If a double backslash is detected outside a
89 .. math::
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/dports/science/gromacs/gromacs-2021.4/docs/reference-manual/analysis/
H A Dcorrelation-function.rst11 :math:`f(t)` is:
18 cross-correlation function from two properties :math:`f(t)` and
19 :math:`g(t)`:
45 implication of :eq:`eqn. %s <eqncorrmd>` is that in principle we can not compute
61 (:eq:`eqn. %s <eqncorr>`) are not statistically independent, which may introduce
77 :eq:`eqn. %s <eqncorrmd>` is proportional to :math:`N^2`, which is considerable.
94 order Legendre polynomial (:eq:`eqn. %s <eqncorrleg>`). This can also be used
104 **Note** that this is not a product of two functions as is generally
106 two products:
143 correlation time can be computed using :eq:`eqn. %s <eqncorrtime>`.
[all …]
/dports/science/py-OpenMC/openmc-0.12.2/docs/source/methods/
H A Dgeometry.rst15 space into exactly two half-spaces. We can mathematically define a surface as a
43 identify it. We can then refer to either of the two half-spaces created by a
46 dividing space into two half-spaces.
62 defined as the intersection of an ellipse and two planes.
210 quadratic in :math:`d`. Thus we expect at most two real solutions to
211 :eq:`dist-to-boundary-1`. If no solutions to :eq:`dist-to-boundary-1` exist or
722 i.e. :math:`|| \nabla f || = 1`. The second two equations in
723 :eq:`reflection-system` tell us that :math:`v` and :math:`w` do not change and
787 :eq:`reflection-cylinder-grad` into equation :eq:`reflection-system` gives us
829 :eq:`reflection-sphere-grad` into equation :eq:`reflection-system` gives us the
[all …]
H A Dtallies.rst30 equation :eq:`tally-integral`) as well as the scoring function (:math:`f` in
93 :math:`i`. One should note that equation :eq:`analog-estimator` is
163 :eq:`flux-integrated` as
402 where :math:`\bar{x}` is the sample mean from equation :eq:`sample-mean` and
404 :eq:`unbiased-variance`. If the random variables :math:`X_i` are
416 two sided confidence interval for the sample mean is
419 :label: two-sided-ci
423 One should be cautioned that equation :eq:`two-sided-ci` only applies if the
432 t-distribution. For one or two degrees of freedom, the percentile can be written
449 For two degrees of freedom, the cumulative distribution function is the
[all …]
H A Dcmfd.rst79 In eq. :eq:`eq_neut_bal` the parameters are defined as:
199 reduced by the :math:`P_1` scattering production reaction rate. Equation :eq:`eq_transD`
214 only two types of coupling exist: (1) cell-to-cell coupling and (2)
243 In Eqs. :eq:`eq_cell_cell` and :eq:`eq_cell_bound`, the :math:`\pm` refers to
259 (:math:`\beta=1`) and zero flux (:math:`\beta=-1`). Both eq. :eq:`eq_cell_cell`
275 :math:`\widehat{D}_{l,m,n}^{u,g}`, is added to eqs. :eq:`eq_cell_cell` and
451 an assembly radial mesh, 24 cell mesh in the axial direction and two energy
510 was implemented with a custom section for two energy groups. Because energy
512 one group. For two groups, it is easy to invert this diagonal analytically
513 inside the Gauss-Seidel iterative solver. For more than two groups, this
[all …]
H A Dphoton_physics.rst129 is expressed as the product of two separate densities in parentheses. In OpenMC,
142 1. Determine :math:`\bar{x}^2` using :eq:`xmax`.
153 5. By combining :eq:`momentum-transfer` and :eq:`xmax`, calculate :math:`\mu =
168 the two authors who discovered it:
211 2. Calculate :math:`x` and :math:`\bar{x}` using :eq:`momentum-transfer` and
277 4. Calculate :math:`E'` by solving :eq:`pz` for :math:`E'` using the sampled
432 produces two additional photons. We sample the energy and direction of the
588 :eq:`beta-2`.
614 electron, resulting in annihilation of the pair and the creation of two
674 generally two photons with equal energy are created. If the kinetic energy of
[all …]
/dports/science/openmc/openmc-0.12.2/docs/source/methods/
H A Dgeometry.rst15 space into exactly two half-spaces. We can mathematically define a surface as a
43 identify it. We can then refer to either of the two half-spaces created by a
46 dividing space into two half-spaces.
62 defined as the intersection of an ellipse and two planes.
210 quadratic in :math:`d`. Thus we expect at most two real solutions to
211 :eq:`dist-to-boundary-1`. If no solutions to :eq:`dist-to-boundary-1` exist or
722 i.e. :math:`|| \nabla f || = 1`. The second two equations in
723 :eq:`reflection-system` tell us that :math:`v` and :math:`w` do not change and
787 :eq:`reflection-cylinder-grad` into equation :eq:`reflection-system` gives us
829 :eq:`reflection-sphere-grad` into equation :eq:`reflection-system` gives us the
[all …]
H A Dtallies.rst30 equation :eq:`tally-integral`) as well as the scoring function (:math:`f` in
93 :math:`i`. One should note that equation :eq:`analog-estimator` is
163 :eq:`flux-integrated` as
402 where :math:`\bar{x}` is the sample mean from equation :eq:`sample-mean` and
404 :eq:`unbiased-variance`. If the random variables :math:`X_i` are
416 two sided confidence interval for the sample mean is
419 :label: two-sided-ci
423 One should be cautioned that equation :eq:`two-sided-ci` only applies if the
432 t-distribution. For one or two degrees of freedom, the percentile can be written
449 For two degrees of freedom, the cumulative distribution function is the
[all …]
H A Dcmfd.rst79 In eq. :eq:`eq_neut_bal` the parameters are defined as:
199 reduced by the :math:`P_1` scattering production reaction rate. Equation :eq:`eq_transD`
214 only two types of coupling exist: (1) cell-to-cell coupling and (2)
243 In Eqs. :eq:`eq_cell_cell` and :eq:`eq_cell_bound`, the :math:`\pm` refers to
259 (:math:`\beta=1`) and zero flux (:math:`\beta=-1`). Both eq. :eq:`eq_cell_cell`
275 :math:`\widehat{D}_{l,m,n}^{u,g}`, is added to eqs. :eq:`eq_cell_cell` and
451 an assembly radial mesh, 24 cell mesh in the axial direction and two energy
510 was implemented with a custom section for two energy groups. Because energy
512 one group. For two groups, it is easy to invert this diagonal analytically
513 inside the Gauss-Seidel iterative solver. For more than two groups, this
[all …]
H A Dphoton_physics.rst129 is expressed as the product of two separate densities in parentheses. In OpenMC,
142 1. Determine :math:`\bar{x}^2` using :eq:`xmax`.
153 5. By combining :eq:`momentum-transfer` and :eq:`xmax`, calculate :math:`\mu =
168 the two authors who discovered it:
211 2. Calculate :math:`x` and :math:`\bar{x}` using :eq:`momentum-transfer` and
277 4. Calculate :math:`E'` by solving :eq:`pz` for :math:`E'` using the sampled
432 produces two additional photons. We sample the energy and direction of the
588 :eq:`beta-2`.
614 electron, resulting in annihilation of the pair and the creation of two
674 generally two photons with equal energy are created. If the kinetic energy of
[all …]
/dports/math/py-pygsl/pygsl-2.3.0/doc/ref/
H A Dsum.rst6 the Levin :math:`u`-transform. This method takes a small number of terms
9 :math:`u`-transform works for both convergent and divergent series,
12 .. math::
14 \label{eq:levin}
20 :math:`\code{a} = [a_{0}, a_{1}, \ldots, a_{n}]`, and :math:`\epsilon`
33 (:math:`A, \epsilon`) where :math:`A` is the approximated sum of the
34 series ([eq:levin]) and :math:`\epsilon` is its absolute error estimate.
38 table of intermediate values and derivatives through to O\ :math:`(N)`
45 the difference between the final two approximations. Using this method
48 itself. Consequently this algorithm is an O\ :math:`(N)` process and
[all …]
/dports/science/gromacs/gromacs-2021.4/docs/reference-manual/special/
H A Dawh.rst128 samples. There are two important things to note about the free energy
132 :math:`\Delta F_n(\lambda) < 0`, which by :eq:`Eq. %s <eqawhgrhofrelation>`
135 :math:`\lambda` decreases after the update (see :eq:`Eq. %s <eqawhplambda>`).
140 (:see :eq:`Eq. %s <eqnawhbasic>`),
168 The bias potential can be applied to the system in two ways. Either by
179 These two approaches are equivalent in the sense that they give rise to
182 different in the two cases. This choice does not affect the internals of
261 :eq:`Eq. %s <eqawhdfsize>`) this leads to a close to
349 :eq:`Eq. %s <eqawhwupdate>`). To really ensure that
413 :eq:`Eq. %s <eqawhwupdate>`)
[all …]
/dports/misc/openmvg/openMVG-2.0/src/third_party/ceres-solver/docs/source/
H A Dnnls_solving.rst178 options for solving :eq:`simple`. There are two major classes of
230 solution to :eq:`linearapprox` and :math:`\Delta
311 only constraint on :math:`a_1` and :math:`a_2` (if they are two
437 :math:`x`. Then it is easy to see that solving :eq:`simple2` is
555 [\Delta y,\Delta z]` and :math:`g=[v,w]` to restate :eq:`normal`
584 :math:`i` and :math:`j` is non-zero if and only if the two images
594 :math:`pc\times pc` linear system :eq:`schur`. For almost all
596 points, :math:`p \ll q`, thus solving :eq:`schur` is
639 vector :math:`x`. There are two ways in which this product can be
661 even need to compute :math:`H`, :eq:`schurtrick1` can be
[all …]
/dports/devel/llvm-cheri/llvm-project-37c49ff00e3eadce5d8703fdc4497f28458c64a8/llvm/test/CodeGen/Hexagon/
H A Dcmp-extend.ll10 ; a single sign extend instead of two zero extends.
27 %tobool.i272 = icmp eq %struct.list_head_s.B* undef, null
32 %exitcond = icmp eq i16 %inc50, %0
39 …rame-pointer"="all" "no-infs-fp-math"="false" "no-nans-fp-math"="false" "stack-protector-buffer-si…

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