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11: 10.73 Physical Applications
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10.73.1
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- Symbols:
- : partial derivative of with respect to and : partial differential of
- Permalink:
- http://dlmf.nist.gov/10.73.E1
- Encodings:
- pMML, png, TeX
- See also:
- Annotations for §10.73(i), §10.73 and Ch.10
10.73.2
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- Symbols:
- : partial derivative of with respect to and : partial differential of
- Permalink:
- http://dlmf.nist.gov/10.73.E2
- Encodings:
- pMML, png, TeX
- See also:
- Annotations for §10.73(i), §10.73 and Ch.10
10.73.3
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ⓘ
- Symbols:
- : partial derivative of with respect to and : partial differential of
- Permalink:
- http://dlmf.nist.gov/10.73.E3
- Encodings:
- pMML, png, TeX
- See also:
- Annotations for §10.73(i), §10.73 and Ch.10
10.73.4
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- Symbols:
- : partial derivative of with respect to , : partial differential of , : sine function and : nonnegative integer
- Permalink:
- http://dlmf.nist.gov/10.73.E4
- Encodings:
- pMML, png, TeX
- See also:
- Annotations for §10.73(ii), §10.73 and Ch.10
12: 14.11 Derivatives with Respect to Degree or Order
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14.11.1
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- Symbols:
- : Ferrers function of the first kind, : the ratio of the circumference of a circle to its diameter, : cotangent function, : partial derivative of with respect to , : partial differential of , : real variable, : general order, : general degree and
- Referenced by:
- §14.11, §14.11
- Permalink:
- http://dlmf.nist.gov/14.11.E1
- Encodings:
- pMML, png, TeX
- See also:
- Annotations for §14.11 and Ch.14
14.11.2
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ⓘ
- Symbols:
- : Ferrers function of the first kind, : Ferrers function of the second kind, : the ratio of the circumference of a circle to its diameter, : cosecant function, : cotangent function, : partial derivative of with respect to , : partial differential of , : sine function, : real variable, : general order, : general degree and
- Referenced by:
- §14.11
- Permalink:
- http://dlmf.nist.gov/14.11.E2
- Encodings:
- pMML, png, TeX
- See also:
- Annotations for §14.11 and Ch.14
14.11.4
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ⓘ
- Symbols:
- : Ferrers function of the first kind, : the ratio of the circumference of a circle to its diameter, : cotangent function, : psi (or digamma) function, : partial derivative of with respect to , : partial differential of , : Ferrers function of the first kind, : Ferrers function of the second kind, : real variable, : general order and : general degree
- Referenced by:
- §14.11, §14.11
- Permalink:
- http://dlmf.nist.gov/14.11.E4
- Encodings:
- pMML, png, TeX
- See also:
- Annotations for §14.11 and Ch.14
14.11.5
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- Symbols:
- : Ferrers function of the second kind, : the ratio of the circumference of a circle to its diameter, : cotangent function, : psi (or digamma) function, : partial derivative of with respect to , : partial differential of , : Ferrers function of the first kind, : Ferrers function of the second kind, : real variable, : general order and : general degree
- Referenced by:
- §14.11
- Permalink:
- http://dlmf.nist.gov/14.11.E5
- Encodings:
- pMML, png, TeX
- See also:
- Annotations for §14.11 and Ch.14
13: 19.4 Derivatives and Differential Equations
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19.4.4
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- Symbols:
- : Legendre’s complete elliptic integral of the second kind, : Legendre’s complete elliptic integral of the third kind, : partial derivative of with respect to , : partial differential of , : real or complex modulus, : complementary modulus and : real or complex parameter
- Permalink:
- http://dlmf.nist.gov/19.4.E4
- Encodings:
- pMML, png, TeX
- See also:
- Annotations for §19.4(i), §19.4 and Ch.19
19.4.5
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ⓘ
- Symbols:
- : cosine function, : Legendre’s incomplete elliptic integral of the first kind, : Legendre’s incomplete elliptic integral of the second kind, : partial derivative of with respect to , : partial differential of , : sine function, : real or complex argument, : real or complex modulus and : complementary modulus
- Permalink:
- http://dlmf.nist.gov/19.4.E5
- Encodings:
- pMML, png, TeX
- See also:
- Annotations for §19.4(i), §19.4 and Ch.19
19.4.6
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ⓘ
- Symbols:
- : Legendre’s incomplete elliptic integral of the first kind, : Legendre’s incomplete elliptic integral of the second kind, : partial derivative of with respect to , : partial differential of , : real or complex argument and : real or complex modulus
- Referenced by:
- §19.30(i)
- Permalink:
- http://dlmf.nist.gov/19.4.E6
- Encodings:
- pMML, png, TeX
- See also:
- Annotations for §19.4(i), §19.4 and Ch.19
19.4.7
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- Symbols:
- : cosine function, : Legendre’s incomplete elliptic integral of the second kind, : Legendre’s incomplete elliptic integral of the third kind, : partial derivative of with respect to , : partial differential of , : sine function, : real or complex argument, : real or complex modulus, : complementary modulus and : real or complex parameter
- Permalink:
- http://dlmf.nist.gov/19.4.E7
- Encodings:
- pMML, png, TeX
- See also:
- Annotations for §19.4(i), §19.4 and Ch.19
14: 28.32 Mathematical Applications
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28.32.2
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- Symbols:
- : partial derivative of with respect to , : partial differential of , : real variable, : real variable, : parameter and : solution
- Referenced by:
- §28.33(ii)
- Permalink:
- http://dlmf.nist.gov/28.32.E2
- Encodings:
- pMML, png, TeX
- See also:
- Annotations for §28.32(i), §28.32 and Ch.28
28.32.3
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- Symbols:
- : cosine function, : hyperbolic cosine function, : partial derivative of with respect to , : partial differential of , : variable, : variable, : parameter and : solution
- Referenced by:
- §28.32(i), §28.33(ii)
- Permalink:
- http://dlmf.nist.gov/28.32.E3
- Encodings:
- pMML, png, TeX
- See also:
- Annotations for §28.32(i), §28.32 and Ch.28
28.32.4
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ⓘ
- Symbols:
- : cosine function, : partial derivative of with respect to , : partial differential of , : parameter, : complex variable, : variable and : solution
- Permalink:
- http://dlmf.nist.gov/28.32.E4
- Encodings:
- pMML, png, TeX
- See also:
- Annotations for §28.32(i), §28.32 and Ch.28
28.32.5
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- Symbols:
- : derivative of with respect to , : partial derivative of with respect to , : partial differential of , : complex variable, : variable, : solution and : solution
- Permalink:
- http://dlmf.nist.gov/28.32.E5
- Encodings:
- pMML, png, TeX
- See also:
- Annotations for §28.32(i), §28.32 and Ch.28
15: 12.17 Physical Applications
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12.17.2
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- Symbols:
- : partial derivative of with respect to , : partial differential of , : real variable, : real variable and : complex variable
- Permalink:
- http://dlmf.nist.gov/12.17.E2
- Encodings:
- pMML, png, TeX
- See also:
- Annotations for §12.17 and Ch.12
12.17.4
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- Symbols:
- : partial derivative of with respect to , : partial differential of , : constant, : coordinate, : coordinate and : coordinate
- Permalink:
- http://dlmf.nist.gov/12.17.E4
- Encodings:
- pMML, png, TeX
- See also:
- Annotations for §12.17 and Ch.12
16: 1.6 Vectors and Vector-Valued Functions
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1.6.19
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- Symbols:
- : partial derivative of with respect to , : partial differential of , : variable, : unit vector, : unit vector and : unit vector
- Permalink:
- http://dlmf.nist.gov/1.6.E19
- Encodings:
- pMML, png, TeX
- See also:
- Annotations for §1.6(iii), §1.6(iii), §1.6 and Ch.1
1.6.20
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- Defines:
- : gradient of differentiable scalar function
- Symbols:
- : partial derivative of with respect to , : partial differential of , : variable, : unit vector, : unit vector and : unit vector
- Permalink:
- http://dlmf.nist.gov/1.6.E20
- Encodings:
- pMML, png, TeX
- See also:
- Annotations for §1.6(iii), §1.6(iii), §1.6 and Ch.1
1.6.21
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►Suppose is an oriented surface with boundary which is oriented so that its direction is clockwise relative to the normals of .
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- Defines:
- : divergence of vector-valued function
- Symbols:
- : partial derivative of with respect to , : partial differential of , : variable and : vector function components
- Permalink:
- http://dlmf.nist.gov/1.6.E21
- Encodings:
- pMML, png, TeX
- See also:
- Annotations for §1.6(iii), §1.6(iii), §1.6 and Ch.1
1.6.57
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- Symbols:
- : differential of , : integral, : partial differential of and : parameterized surface
- Permalink:
- http://dlmf.nist.gov/1.6.E57
- Encodings:
- pMML, png, TeX
- See also:
- Annotations for §1.6(v), §1.6(v), §1.6 and Ch.1
17: 20.13 Physical Applications
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20.13.1
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- Symbols:
- : partial derivative of with respect to , : partial differential of , : lattice parameter and : real variable
- Referenced by:
- §20.13
- Permalink:
- http://dlmf.nist.gov/20.13.E1
- Encodings:
- pMML, png, TeX
- See also:
- Annotations for §20.13 and Ch.20
20.13.2
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- Symbols:
- : partial derivative of with respect to , : partial differential of , : time, : real parameter and : real variable
- Referenced by:
- §20.13
- Permalink:
- http://dlmf.nist.gov/20.13.E2
- Encodings:
- pMML, png, TeX
- See also:
- Annotations for §20.13 and Ch.20
18: 23.21 Physical Applications
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23.21.2
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- Symbols:
- : partial derivative of with respect to , : partial differential of , : ellipsoidal coordinate, : ellipsoidal coordinate, : ellipsoidal coordinate and : function
- Permalink:
- http://dlmf.nist.gov/23.21.E2
- Encodings:
- pMML, png, TeX
- See also:
- Annotations for §23.21(iii), §23.21 and Ch.23
23.21.5
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- Symbols:
- (= = ): Weierstrass -function, : partial derivative of with respect to , : partial differential of , : lattice, : change of variable, : change of variable and : change of variable
- Permalink:
- http://dlmf.nist.gov/23.21.E5
- Encodings:
- pMML, png, TeX
- See also:
- Annotations for §23.21(iii), §23.21 and Ch.23
19: 36.12 Uniform Approximation of Integrals
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36.12.2
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- Symbols:
- : partial derivative of with respect to , : partial differential of , : function and : mapping
- Permalink:
- http://dlmf.nist.gov/36.12.E2
- Encodings:
- pMML, png, TeX
- See also:
- Annotations for §36.12(i), §36.12 and Ch.36
36.12.3
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ⓘ
- Symbols:
- : order not exceeding, : Kronecker delta, : canonical integral function, : exponential function, : imaginary unit, : partial derivative of with respect to , : partial differential of , : integer, : variable, : codimension, : oscillatory integral, : function, : function, : function and : function
- Permalink:
- http://dlmf.nist.gov/36.12.E3
- Encodings:
- pMML, png, TeX
- See also:
- Annotations for §36.12(i), §36.12 and Ch.36
36.12.10
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- Symbols:
- : cuspoid catastrophe of codimension , : partial derivative of with respect to , : partial differential of , : integer, : variable, : codimension, : function, : function, : mapping, : function and : solutions
- Referenced by:
- §36.12(i)
- Permalink:
- http://dlmf.nist.gov/36.12.E10
- Encodings:
- pMML, png, TeX
- See also:
- Annotations for §36.12(i), §36.12 and Ch.36
20: 31.10 Integral Equations and Representations
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31.10.4
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- Defines:
- : Heun’s operator (locally)
- Symbols:
- : partial derivative of with respect to , : partial differential of , : complex variable, : real or complex parameter, : real or complex parameter, : real or complex parameter, : complex parameter, : real or complex parameter and : real or complex parameter
- Referenced by:
- §31.10(ii)
- Permalink:
- http://dlmf.nist.gov/31.10.E4
- Encodings:
- pMML, png, TeX
- See also:
- Annotations for §31.10(i), §31.10 and Ch.31
31.10.5
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- Symbols:
- : derivative of with respect to , : partial derivative of with respect to , : partial differential of , : contour and : kernel
- Permalink:
- http://dlmf.nist.gov/31.10.E5
- Encodings:
- pMML, png, TeX
- See also:
- Annotations for §31.10(i), §31.10 and Ch.31
31.10.8
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- Symbols:
- : cotangent function, : partial derivative of with respect to , : partial differential of , : sine function, : tangent function, : real or complex parameter, : real or complex parameter, : real or complex parameter, : real or complex parameter, : real or complex parameter, : kernel, : angle and : angle
- Referenced by:
- §31.10(i)
- Permalink:
- http://dlmf.nist.gov/31.10.E8
- Encodings:
- pMML, png, TeX
- See also:
- Annotations for §31.10(i), §31.10(i), §31.10 and Ch.31
31.10.15
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- Symbols:
- : derivative of with respect to , : partial derivative of with respect to , : partial differential of , , : contours, : kernel and
- Permalink:
- http://dlmf.nist.gov/31.10.E15
- Encodings:
- pMML, png, TeX
- See also:
- Annotations for §31.10(ii), §31.10 and Ch.31
31.10.16
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- Symbols:
- : derivative of with respect to , : partial derivative of with respect to , : partial differential of , , : contours, : kernel and
- Permalink:
- http://dlmf.nist.gov/31.10.E16
- Encodings:
- pMML, png, TeX
- See also:
- Annotations for §31.10(ii), §31.10 and Ch.31