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  1. Sandbox (3,347 bytes)
    7: ...allows you to enter LaTeX equations using the <math> tag. For example:
    9: ...mes \mathbf{H} = \frac{\omega^2}{c^2} \mathbf{H}</math>
    13: <math>a \simeq b</math>
    98: ... more math <math>\int_0^\infty\frac{1}{1+x^2} dx</math>
  2. NLopt Algorithms (41,811 bytes)
    80: ...mmer, "Stochastic global optimization methods," ''Mathematical Programming'', vol. 39, p. 27-78 (1987). ...
    113: ...bal Optimization," IMM-REP-1998-04, Department of Mathematical Modelling, Technical University of Denmar...
    175: ...tion without derivatives]," Department of Applied Mathematics and Theoretical Physics, Cambridge England...
    285: ...imal control calculations," ''ACM Transactions on Mathematical Software'', vol. 20, no. 3, pp. 262-281 (...
    302: ...ng quasi-Newton matrices with limited storage," ''Math. Comput.'' '''35''', 773-782 (1980).
  3. NLopt Deprecated API Reference (36,633 bytes)
    17: ...options, which link to the NLopt library (and the math library, which it requires), must come ''after'' ...
  4. NLopt Tutorial (30,157 bytes)
    8: ...math>\min_{\mathbf{x}\in\mathbb{R}^2} \sqrt{x_2}</math>
    9: ...)^3</math>, and <math>x_2 \geq (a_2 x_1 + b_2)^3</math>
    13: ... <math>\sqrt{8/27} \approx 0.5443310539518\ldots</math>.
    24: #include <math.h>
    27: ...ude the NLopt header file as well as the standard math header file (needed for things like the <code>sqr...
  5. Cubature (Multi-dimensional integration) (19,124 bytes)
    3: [http://math.mit.edu/~stevenj Steven G. Johnson] has written a...
    5: ...dots\int_{a_n}^{b_n} \vec{f}(\vec{x}) d^n\vec{x}</math>
    7: ...lities of <math>\vec{f}</math> and <math>\vec{x}</math> are independent.) The integrand can be evaluated...
    11: ...ensional rectangular region," ''J. Comput. Appl. Math.'' '''6''' (4), 295–302 (1980).
    12: ... calculation of multiple integrals," ''ACM Trans. Math. Soft.'' '''17''' (4), 437–451 (1991).
  6. NLopt Reference (29,913 bytes)
    28: ...options, which link to the NLopt library (and the math library, which it requires), must come ''after'' ...
    70: ... f / \partial x_i</math>, for <math>0 \leq i < n</math>, if <code>grad</code> is non-<code>NULL</code>. ...
    85: ...for a floating-point infinity, found in the <code>math.h</code> header file.)
    129: ... <math>\mathbf{c}: \mathbb{R}^n \to \mathbb{R}^m</math>:
    140: ...straint function(s) <math>\mathbf{c}(\mathbf{x})</math> at the point <code>x</code>, an array of length ...
  7. Faddeeva Package (17,420 bytes)
    1: [http://math.mit.edu/~stevenj Steven G. Johnson] has written [...
    3: ...n]] <math>w(z) = e^{-z^2} \mathrm{erfc}(-iz) \! </math>, where erfc is the complementary error function.
    4: ...ction|error function]] <math>\mathrm{erf}(z) \!</math>
    5: ...<math>\mathrm{erfc}(z) = 1 - \mathrm{erf}(z) \! </math>
    6: ...erfcx}(z) = e^{z^2} \mathrm{erfc}(z) = w(iz) \! </math>

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