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/dports/math/reduce/Reduce-svn5758-src/contrib/rubi-red/mathematicatests/
H A DErrorFunctions.m62 {Erfc[a + b*x]/x, x, 0, Int[Erfc[a + b*x]/x, x]}
69 {Erfc[b*x]^2/x^8, x, 0, Int[Erfc[b*x]^2/x^8, x]}
71 {Erfc[b*x]^2/x^6, x, 0, Int[Erfc[b*x]^2/x^6, x]}
73 {Erfc[b*x]^2/x^4, x, 0, Int[Erfc[b*x]^2/x^4, x]}
74 {Erfc[b*x]^2/x^3, x, 5, (2*b*Erfc[b*x])/(E^(b^2*x^2)*(Sqrt[Pi]*x)) - b^2*Erfc[b*x]^2 - Erfc[b*x]^2/…
75 {Erfc[b*x]^2/x^2, x, 0, Int[Erfc[b*x]^2/x^2, x]}
76 {Erfc[b*x]^2/x, x, 0, Int[Erfc[b*x]^2/x, x]}
77 {Erfc[b*x]^2, x, 4, -((Sqrt[2/Pi]*Erf[Sqrt[2]*b*x])/b) - (2*Erfc[b*x])/(E^(b^2*x^2)*(b*Sqrt[Pi])) +…
78 {x*Erfc[b*x]^2, x, 6, 1/(E^(2*b^2*x^2)*(2*b^2*Pi)) - (x*Erfc[b*x])/(E^(b^2*x^2)*(b*Sqrt[Pi])) - Erf…
86 {Erfc[a + b*x]^2/x, x, 0, Int[Erfc[a + b*x]^2/x, x]}
[all …]
/dports/math/reduce/Reduce-svn5758-src/packages/rubi_red/tests/SpecialFunctions/
H A DErrorFunctions.m62 {Erfc[a + b*x]/x, x, 0, Int[Erfc[a + b*x]/x, x]}
69 {Erfc[b*x]^2/x^8, x, 0, Int[Erfc[b*x]^2/x^8, x]}
71 {Erfc[b*x]^2/x^6, x, 0, Int[Erfc[b*x]^2/x^6, x]}
73 {Erfc[b*x]^2/x^4, x, 0, Int[Erfc[b*x]^2/x^4, x]}
74 {Erfc[b*x]^2/x^3, x, 5, (2*b*Erfc[b*x])/(E^(b^2*x^2)*(Sqrt[Pi]*x)) - b^2*Erfc[b*x]^2 - Erfc[b*x]^2/…
75 {Erfc[b*x]^2/x^2, x, 0, Int[Erfc[b*x]^2/x^2, x]}
76 {Erfc[b*x]^2/x, x, 0, Int[Erfc[b*x]^2/x, x]}
77 {Erfc[b*x]^2, x, 4, -((Sqrt[2/Pi]*Erf[Sqrt[2]*b*x])/b) - (2*Erfc[b*x])/(E^(b^2*x^2)*(b*Sqrt[Pi])) +…
78 {x*Erfc[b*x]^2, x, 6, 1/(E^(2*b^2*x^2)*(2*b^2*Pi)) - (x*Erfc[b*x])/(E^(b^2*x^2)*(b*Sqrt[Pi])) - Erf…
86 {Erfc[a + b*x]^2/x, x, 0, Int[Erfc[a + b*x]^2/x, x]}
[all …]
/dports/math/reduce/Reduce-svn5758-src/contrib/rubi-red/rubi4/IntegrationProblems/MathematicaSyntaxFiles/SpecialFunctions/
H A DErrorFunctions.m62 {Erfc[a + b*x]/x, x, 0, Int[Erfc[a + b*x]/x, x]}
69 {Erfc[b*x]^2/x^8, x, 0, Int[Erfc[b*x]^2/x^8, x]}
71 {Erfc[b*x]^2/x^6, x, 0, Int[Erfc[b*x]^2/x^6, x]}
73 {Erfc[b*x]^2/x^4, x, 0, Int[Erfc[b*x]^2/x^4, x]}
74 {Erfc[b*x]^2/x^3, x, 5, (2*b*Erfc[b*x])/(E^(b^2*x^2)*(Sqrt[Pi]*x)) - b^2*Erfc[b*x]^2 - Erfc[b*x]^2/…
75 {Erfc[b*x]^2/x^2, x, 0, Int[Erfc[b*x]^2/x^2, x]}
76 {Erfc[b*x]^2/x, x, 0, Int[Erfc[b*x]^2/x, x]}
77 {Erfc[b*x]^2, x, 4, -((Sqrt[2/Pi]*Erf[Sqrt[2]*b*x])/b) - (2*Erfc[b*x])/(E^(b^2*x^2)*(b*Sqrt[Pi])) +…
78 {x*Erfc[b*x]^2, x, 6, 1/(E^(2*b^2*x^2)*(2*b^2*Pi)) - (x*Erfc[b*x])/(E^(b^2*x^2)*(b*Sqrt[Pi])) - Erf…
86 {Erfc[a + b*x]^2/x, x, 0, Int[Erfc[a + b*x]^2/x, x]}
[all …]
/dports/math/reduce/Reduce-svn5758-src/packages/rubi_red/tests4/SpecialFunctions/
H A DErrorFunctions.m64 {Erfc[b*x]^2/x^8, x, 0, Int[Erfc[b*x]^2/x^8, x]}
66 {Erfc[b*x]^2/x^6, x, 0, Int[Erfc[b*x]^2/x^6, x]}
68 {Erfc[b*x]^2/x^4, x, 0, Int[Erfc[b*x]^2/x^4, x]}
69 {Erfc[b*x]^2/x^3, x, 4, (2*b*Erfc[b*x])/(E^(b^2*x^2)*(Sqrt[Pi]*x)) - b^2*Erfc[b*x]^2 - Erfc[b*x]^2/…
70 {Erfc[b*x]^2/x^2, x, 0, Int[Erfc[b*x]^2/x^2, x]}
71 {Erfc[b*x]^2/x, x, 0, Int[Erfc[b*x]^2/x, x]}
72 {Erfc[b*x]^2, x, 4, -((Sqrt[2/Pi]*Erf[Sqrt[2]*b*x])/b) - (2*Erfc[b*x])/(E^(b^2*x^2)*(b*Sqrt[Pi])) +…
73 {x*Erfc[b*x]^2, x, 4, 1/(E^(2*b^2*x^2)*(2*b^2*Pi)) - (x*Erfc[b*x])/(E^(b^2*x^2)*(b*Sqrt[Pi])) - Erf…
80 {Erfc[a + b*x]/x, x, 0, Int[Erfc[a + b*x]/x, x]}
87 {Erfc[a + b*x]^2/x, x, 0, Int[Erfc[a + b*x]^2/x, x]}
[all …]
/dports/math/reduce/Reduce-svn5758-src/packages/rubi_red/rubi-rules/SpecialFunctions/
H A DErrorFunctions.m261 Int[Erfc[a_.+b_.*x_],x_Symbol] :=
279 (*\[Integral]Erfc[a+b x]^2 \[DifferentialD]x \[LongRightArrow] (((a+b x) Erfc[a+b x]^2)/b)+4/Sqrt…
287 Int[Erfc[a_.+b_.*x_]^2,x_Symbol] :=
288 (a+b*x)*Erfc[a+b*x]^2/b +
318 Int[x_^m_.*Erfc[a_.+b_.*x_],x_Symbol] :=
319 x^(m+1)*Erfc[a+b*x]/(m+1) +
345 Int[x_^m_.*Erfc[b_.*x_]^2,x_Symbol] :=
346 x^(m+1)*Erfc[b*x]^2/(m+1) +
377 Int[x_^m_.*Erfc[a_+b_.*x_]^2,x_Symbol] :=
408 -E^(-b^2*x^2)*Erfc[b*x]/(2*b^2) -
[all …]
/dports/math/py-sympy/sympy-1.9/sympy/integrals/rubi/rubi_tests/tests/
H A Dtest_special_functions.py175 …assert rubi_test(rubi_integrate(Erfc(b*x)**S(2)/x**S(8), x), x, Integrate(Erfc(b*x)**S(2)/x**S(8),…
177 …assert rubi_test(rubi_integrate(Erfc(b*x)**S(2)/x**S(6), x), x, Integrate(Erfc(b*x)**S(2)/x**S(6),…
178 …Erfc(b*x)**S(2)/x**S(5), x), x, b**S(4)*Erfc(b*x)**S(2)/S(3) - Erfc(b*x)**S(2)/(S(4)*x**S(4)) - S(…
180 …Erfc(b*x)**S(2)/x**S(3), x), x, -b**S(2)*Erfc(b*x)**S(2) - Erfc(b*x)**S(2)/(S(2)*x**S(2)) + S(2)*b…
182 …assert rubi_test(rubi_integrate(Erfc(b*x)**S(2)/x, x), x, Integrate(Erfc(b*x)**S(2)/x, x), expand=…
183 …rubi_test(rubi_integrate(Erfc(b*x)**S(2), x), x, x*Erfc(b*x)**S(2) - sqrt(S(2))*sqrt(S(1)/Pi)*Erf(…
184 …ate(x*Erfc(b*x)**S(2), x), x, x**S(2)*Erfc(b*x)**S(2)/S(2) - Erfc(b*x)**S(2)/(S(4)*b**S(2)) + exp(…
186 …Erfc(b*x)**S(2), x), x, x**S(4)*Erfc(b*x)**S(2)/S(4) - S(3)*Erfc(b*x)**S(2)/(S(16)*b**S(4)) + x**S…
189 …assert rubi_test(rubi_integrate(Erfc(a + b*x)/x, x), x, Integrate(Erfc(a + b*x)/x, x), expand=True…
194 …assert rubi_test(rubi_integrate(Erfc(a + b*x)**S(2)/x, x), x, Integrate(Erfc(a + b*x)**S(2)/x, x),…
[all …]
/dports/math/blaze/blaze-3.8/blaze/math/functors/
H A DErfc.h68 struct Erfc struct
128 struct YieldsUniform<Erfc,T> argument
146 struct YieldsSymmetric<Erfc,MT>
H A DForward.h96 struct Erfc;
/dports/math/reduce/Reduce-svn5758-src/contrib/rubi-red/rubi4/IntegrationRules/MathematicaNotebookFiles/SpecialFunctions/
H A DErrorFunctions.nb1436 RowBox[{"Erfc", "[",
1474 RowBox[{"Erfc", "[",
1531 RowBox[{"Erfc", "[",
1590 RowBox[{"Erfc", "[",
1660 RowBox[{"Erfc", "[",
1717 RowBox[{"Erfc", "[",
1764 RowBox[{"Erfc", "[",
1834 RowBox[{"Erfc", "[",
1929 RowBox[{"Erfc", "[",
2135 RowBox[{"Erfc", "[",
[all …]
/dports/science/py-chainer/chainer-7.8.0/chainer/functions/math/
H A Derfc.py16 class Erfc(function_node.FunctionNode): class
67 return Erfc().apply((x,))[0]
/dports/math/yacas/yacas-1.9.1/scripts/specfunc.rep/
H A Dom.ys11 OMDef( "Erfc" , "yacas", "Erfc" );
H A Dcode.ys.def11 Erfc
/dports/math/symengine/symengine-0.8.1/symengine/
H A Dllvm_double.h134 void visit(const Erfc &x) override;
157 void visit(const Erfc &x) override;
182 void visit(const Erfc &x) override;
/dports/net/google-cloud-sdk-app-engine-go/platform/google_appengine/goroot-1.9/src/math/
H A Derf_stub.s12 TEXT ·Erfc(SB),NOSPLIT,$0
/dports/math/openturns/openturns-1.18/lib/src/Base/Func/
H A DSymbolicParserMuParser.cxx50 static mu::value_type Erfc(mu::value_type v);
185 DefineFun(_T("erfc"), Erfc); // added in MuParser()
254 value_type MuParser::Erfc(value_type v) in Erfc() function in MuParser
/dports/math/py-mathics/Mathics3-2.2.0/mathics/builtin/specialfns/
H A Derf.py48 class Erfc(_MPMathFunction): class
/dports/www/grafana8/grafana-8.3.6/vendor/cuelang.org/go/pkg/math/
H A Dmath.go198 func Erfc(x float64) float64 { func
199 return math.Erfc(x)
/dports/math/py-symcxx/symcxx-0.1.10/include/symcxx/
H A Dtypes_nonatomic_unary_math_h.inc25 SYMCXX_TYPE(Erfc , Unary , erfc )
/dports/lang/go-devel/go-dragonfly-amd64-bootstrap/src/math/
H A Dstubs_386.s28 TEXT ·Erfc(SB), NOSPLIT, $0
/dports/devel/tinygo/tinygo-0.14.1/testdata/
H A Dmath.go20 println(" erfc: ", math.Erfc(n))
/dports/devel/spirv-llvm-translator/SPIRV-LLVM-Translator-13.0.0/projects/SPIRV-Headers/include/spirv/1.1/
H A DOpenCL.std.h49 Erfc = 17, enumerator
/dports/devel/spirv-llvm-translator/SPIRV-LLVM-Translator-13.0.0/projects/SPIRV-Headers/include/spirv/1.2/
H A DOpenCL.std.h49 Erfc = 17, enumerator
/dports/devel/spirv-llvm-translator/SPIRV-LLVM-Translator-13.0.0/projects/SPIRV-Headers/include/spirv/1.0/
H A DOpenCL.std.h49 Erfc = 17, enumerator
/dports/devel/intel-graphics-compiler/SPIRV-Headers/include/spirv/1.1/
H A DOpenCL.std.h49 Erfc = 17, enumerator
/dports/devel/intel-graphics-compiler/SPIRV-Headers/include/spirv/1.2/
H A DOpenCL.std.h49 Erfc = 17, enumerator

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