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- <div class="titlepage"><div><div><h2 class="title" style="clear: both">
- <a name="math_toolkit.constants"></a><a class="link" href="constants.html" title="The Mathematical Constants">The Mathematical Constants</a>
- </h2></div></div></div>
- <p>
- This section lists the mathematical constants, their use(s) (and sometimes
- rationale for their inclusion).
- </p>
- <div class="table">
- <a name="math_toolkit.constants.mathematical_constants"></a><p class="title"><b>Table 4.1. Mathematical Constants</b></p>
- <div class="table-contents"><table class="table" summary="Mathematical Constants">
- <colgroup>
- <col>
- <col>
- <col>
- <col>
- </colgroup>
- <thead><tr>
- <th>
- <p>
- name
- </p>
- </th>
- <th>
- <p>
- formula
- </p>
- </th>
- <th>
- <p>
- Value (6 decimals)
- </p>
- </th>
- <th>
- <p>
- Uses and Rationale
- </p>
- </th>
- </tr></thead>
- <tbody>
- <tr>
- <td>
- <p>
- <span class="bold"><strong>Rational fractions</strong></span>
- </p>
- </td>
- <td>
- </td>
- <td>
- </td>
- <td>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- half
- </p>
- </td>
- <td>
- <p>
- 1/2
- </p>
- </td>
- <td>
- <p>
- 0.5
- </p>
- </td>
- <td>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- third
- </p>
- </td>
- <td>
- <p>
- 1/3
- </p>
- </td>
- <td>
- <p>
- 0.333333
- </p>
- </td>
- <td>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- two_thirds
- </p>
- </td>
- <td>
- <p>
- 2/3
- </p>
- </td>
- <td>
- <p>
- 0.66667
- </p>
- </td>
- <td>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- three_quarters
- </p>
- </td>
- <td>
- <p>
- 3/4
- </p>
- </td>
- <td>
- <p>
- 0.75
- </p>
- </td>
- <td>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <span class="bold"><strong>two and related</strong></span>
- </p>
- </td>
- <td>
- </td>
- <td>
- </td>
- <td>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- root_two
- </p>
- </td>
- <td>
- <p>
- √2
- </p>
- </td>
- <td>
- <p>
- 1.41421
- </p>
- </td>
- <td>
- <p>
- Equivalent to POSIX constant M_SQRT2
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- root_three
- </p>
- </td>
- <td>
- <p>
- √3
- </p>
- </td>
- <td>
- <p>
- 1.73205
- </p>
- </td>
- <td>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- half_root_two
- </p>
- </td>
- <td>
- <p>
- √2 /2
- </p>
- </td>
- <td>
- <p>
- 0.707106
- </p>
- </td>
- <td>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- ln_two
- </p>
- </td>
- <td>
- <p>
- ln(2)
- </p>
- </td>
- <td>
- <p>
- 0.693147
- </p>
- </td>
- <td>
- <p>
- Equivalent to POSIX constant M_LN2
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- ln_ten
- </p>
- </td>
- <td>
- <p>
- ln(10)
- </p>
- </td>
- <td>
- <p>
- 2.30258
- </p>
- </td>
- <td>
- <p>
- Equivalent to POSIX constant M_LN10
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- ln_ln_two
- </p>
- </td>
- <td>
- <p>
- ln(ln(2))
- </p>
- </td>
- <td>
- <p>
- -0.366512
- </p>
- </td>
- <td>
- <p>
- Gumbel distribution median
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- root_ln_four
- </p>
- </td>
- <td>
- <p>
- √ln(4)
- </p>
- </td>
- <td>
- <p>
- 1.177410
- </p>
- </td>
- <td>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- one_div_root_two
- </p>
- </td>
- <td>
- <p>
- 1/√2
- </p>
- </td>
- <td>
- <p>
- 0.707106
- </p>
- </td>
- <td>
- <p>
- Equivalent to POSIX constant M_SQRT1_2
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <span class="bold"><strong>π and related</strong></span>
- </p>
- </td>
- <td>
- </td>
- <td>
- </td>
- <td>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- pi
- </p>
- </td>
- <td>
- <p>
- pi
- </p>
- </td>
- <td>
- <p>
- 3.14159
- </p>
- </td>
- <td>
- <p>
- Ubiquitous. Archimedes constant <a href="http://en.wikipedia.org/wiki/Pi" target="_top">π</a>.
- Equivalent to POSIX constant M_PI
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- half_pi
- </p>
- </td>
- <td>
- <p>
- π/2
- </p>
- </td>
- <td>
- <p>
- 1.570796
- </p>
- </td>
- <td>
- <p>
- Equivalent to POSIX constant M_PI2
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- third_pi
- </p>
- </td>
- <td>
- <p>
- π/3
- </p>
- </td>
- <td>
- <p>
- 1.04719
- </p>
- </td>
- <td>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- quarter_pi
- </p>
- </td>
- <td>
- <p>
- π/4
- </p>
- </td>
- <td>
- <p>
- 0.78539816
- </p>
- </td>
- <td>
- <p>
- Equivalent to POSIX constant M_PI_4
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- sixth_pi
- </p>
- </td>
- <td>
- <p>
- π/6
- </p>
- </td>
- <td>
- <p>
- 0.523598
- </p>
- </td>
- <td>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- two_pi
- </p>
- </td>
- <td>
- <p>
- 2π
- </p>
- </td>
- <td>
- <p>
- 6.28318
- </p>
- </td>
- <td>
- <p>
- Many uses, most simply, circumference of a circle
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- two_thirds_pi
- </p>
- </td>
- <td>
- <p>
- 2/3 π
- </p>
- </td>
- <td>
- <p>
- 2.09439
- </p>
- </td>
- <td>
- <p>
- <a href="http://en.wikipedia.org/wiki/Sphere#Volume_of_a_sphere" target="_top">volume
- of a hemi-sphere</a> = 4/3 π r³
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- three_quarters_pi
- </p>
- </td>
- <td>
- <p>
- 3/4 π
- </p>
- </td>
- <td>
- <p>
- 2.35619
- </p>
- </td>
- <td>
- <p>
- = 3/4 π
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- four_thirds_pi
- </p>
- </td>
- <td>
- <p>
- 4/3 π
- </p>
- </td>
- <td>
- <p>
- 4.18879
- </p>
- </td>
- <td>
- <p>
- <a href="http://en.wikipedia.org/wiki/Sphere#Volume_of_a_sphere" target="_top">volume
- of a sphere</a> = 4/3 π r³
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- one_div_two_pi
- </p>
- </td>
- <td>
- <p>
- 1/(2π)
- </p>
- </td>
- <td>
- <p>
- 1.59155
- </p>
- </td>
- <td>
- <p>
- Widely used
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- root_pi
- </p>
- </td>
- <td>
- <p>
- √π
- </p>
- </td>
- <td>
- <p>
- 1.77245
- </p>
- </td>
- <td>
- <p>
- Widely used
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- root_half_pi
- </p>
- </td>
- <td>
- <p>
- √ π/2
- </p>
- </td>
- <td>
- <p>
- 1.25331
- </p>
- </td>
- <td>
- <p>
- Widely used
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- root_two_pi
- </p>
- </td>
- <td>
- <p>
- √ π*2
- </p>
- </td>
- <td>
- <p>
- 2.50662
- </p>
- </td>
- <td>
- <p>
- Widely used
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- one_div_pi
- </p>
- </td>
- <td>
- <p>
- 1/π
- </p>
- </td>
- <td>
- <p>
- 0.31830988
- </p>
- </td>
- <td>
- <p>
- Equivalent to POSIX constant M_1_PI
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- two_div_pi
- </p>
- </td>
- <td>
- <p>
- 2/π
- </p>
- </td>
- <td>
- <p>
- 0.63661977
- </p>
- </td>
- <td>
- <p>
- Equivalent to POSIX constant M_2_PI
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- one_div_root_pi
- </p>
- </td>
- <td>
- <p>
- 1/√π
- </p>
- </td>
- <td>
- <p>
- 0.564189
- </p>
- </td>
- <td>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- two_div_root_pi
- </p>
- </td>
- <td>
- <p>
- 2/√π
- </p>
- </td>
- <td>
- <p>
- 1.128379
- </p>
- </td>
- <td>
- <p>
- Equivalent to POSIX constant M_2_SQRTPI
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- one_div_root_two_pi
- </p>
- </td>
- <td>
- <p>
- 1/√(2π)
- </p>
- </td>
- <td>
- <p>
- 0.398942
- </p>
- </td>
- <td>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- root_one_div_pi
- </p>
- </td>
- <td>
- <p>
- √(1/π
- </p>
- </td>
- <td>
- <p>
- 0.564189
- </p>
- </td>
- <td>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- pi_minus_three
- </p>
- </td>
- <td>
- <p>
- π-3
- </p>
- </td>
- <td>
- <p>
- 0.141593
- </p>
- </td>
- <td>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- four_minus_pi
- </p>
- </td>
- <td>
- <p>
- 4 -π
- </p>
- </td>
- <td>
- <p>
- 0.858407
- </p>
- </td>
- <td>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- pi_pow_e
- </p>
- </td>
- <td>
- <p>
- π<sup>e</sup>
- </p>
- </td>
- <td>
- <p>
- 22.4591
- </p>
- </td>
- <td>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- pi_sqr
- </p>
- </td>
- <td>
- <p>
- π<sup>2</sup>
- </p>
- </td>
- <td>
- <p>
- 9.86960
- </p>
- </td>
- <td>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- pi_sqr_div_six
- </p>
- </td>
- <td>
- <p>
- π<sup>2</sup>/6
- </p>
- </td>
- <td>
- <p>
- 1.64493
- </p>
- </td>
- <td>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- pi_cubed
- </p>
- </td>
- <td>
- <p>
- π<sup>3</sup>
- </p>
- </td>
- <td>
- <p>
- 31.00627
- </p>
- </td>
- <td>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- cbrt_pi
- </p>
- </td>
- <td>
- <p>
- √<sup>3</sup> π
- </p>
- </td>
- <td>
- <p>
- 1.46459
- </p>
- </td>
- <td>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- one_div_cbrt_pi
- </p>
- </td>
- <td>
- <p>
- 1/√<sup>3</sup> π
- </p>
- </td>
- <td>
- <p>
- 0.682784
- </p>
- </td>
- <td>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <span class="bold"><strong>Euler's e and related</strong></span>
- </p>
- </td>
- <td>
- </td>
- <td>
- </td>
- <td>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- e
- </p>
- </td>
- <td>
- <p>
- e
- </p>
- </td>
- <td>
- <p>
- 2.71828
- </p>
- </td>
- <td>
- <p>
- <a href="http://en.wikipedia.org/wiki/E_(mathematical_constant)" target="_top">Euler's
- constant e</a>, equivalent to POSIX constant M_E
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- exp_minus_half
- </p>
- </td>
- <td>
- <p>
- e <sup>-1/2</sup>
- </p>
- </td>
- <td>
- <p>
- 0.606530
- </p>
- </td>
- <td>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- e_pow_pi
- </p>
- </td>
- <td>
- <p>
- e <sup>π</sup>
- </p>
- </td>
- <td>
- <p>
- 23.14069
- </p>
- </td>
- <td>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- root_e
- </p>
- </td>
- <td>
- <p>
- √ e
- </p>
- </td>
- <td>
- <p>
- 1.64872
- </p>
- </td>
- <td>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- log10_e
- </p>
- </td>
- <td>
- <p>
- log10(e)
- </p>
- </td>
- <td>
- <p>
- 0.434294
- </p>
- </td>
- <td>
- <p>
- Equivalent to POSIX constant M_LOG10E
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- one_div_log10_e
- </p>
- </td>
- <td>
- <p>
- 1/log10(e)
- </p>
- </td>
- <td>
- <p>
- 2.30258
- </p>
- </td>
- <td>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- log2_e
- </p>
- </td>
- <td>
- <p>
- log<sub>2</sub>(e)
- </p>
- </td>
- <td>
- <p>
- 1.442695
- </p>
- </td>
- <td>
- <p>
- This is the same as 1/ln(2) and is equivalent to POSIX constant M_LOG2E
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <span class="bold"><strong>Trigonometric</strong></span>
- </p>
- </td>
- <td>
- </td>
- <td>
- </td>
- <td>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- degree
- </p>
- </td>
- <td>
- <p>
- radians = π / 180
- </p>
- </td>
- <td>
- <p>
- 0.017453
- </p>
- </td>
- <td>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- radian
- </p>
- </td>
- <td>
- <p>
- degrees = 180 / π
- </p>
- </td>
- <td>
- <p>
- 57.2957
- </p>
- </td>
- <td>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- sin_one
- </p>
- </td>
- <td>
- <p>
- sin(1)
- </p>
- </td>
- <td>
- <p>
- 0.841470
- </p>
- </td>
- <td>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- cos_one
- </p>
- </td>
- <td>
- <p>
- cos(1)
- </p>
- </td>
- <td>
- <p>
- 0.54030
- </p>
- </td>
- <td>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- sinh_one
- </p>
- </td>
- <td>
- <p>
- sinh(1)
- </p>
- </td>
- <td>
- <p>
- 1.17520
- </p>
- </td>
- <td>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- cosh_one
- </p>
- </td>
- <td>
- <p>
- cosh(1)
- </p>
- </td>
- <td>
- <p>
- 1.54308
- </p>
- </td>
- <td>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <span class="bold"><strong>Phi</strong></span>
- </p>
- </td>
- <td>
- <p>
- Phidias golden ratio
- </p>
- </td>
- <td>
- <p>
- <a href="http://en.wikipedia.org/wiki/Golden_ratio" target="_top">Phidias golden
- ratio</a>
- </p>
- </td>
- <td>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- phi
- </p>
- </td>
- <td>
- <p>
- (1 + √5) /2
- </p>
- </td>
- <td>
- <p>
- 1.61803
- </p>
- </td>
- <td>
- <p>
- finance
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- ln_phi
- </p>
- </td>
- <td>
- <p>
- ln(φ)
- </p>
- </td>
- <td>
- <p>
- 0.48121
- </p>
- </td>
- <td>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- one_div_ln_phi
- </p>
- </td>
- <td>
- <p>
- 1/ln(φ)
- </p>
- </td>
- <td>
- <p>
- 2.07808
- </p>
- </td>
- <td>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <span class="bold"><strong>Euler's Gamma</strong></span>
- </p>
- </td>
- <td>
- </td>
- <td>
- </td>
- <td>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- euler
- </p>
- </td>
- <td>
- <p>
- euler
- </p>
- </td>
- <td>
- <p>
- 0.577215
- </p>
- </td>
- <td>
- <p>
- <a href="http://en.wikipedia.org/wiki/Euler%E2%80%93Mascheroni_constant" target="_top">Euler-Mascheroni
- gamma constant</a>
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- one_div_euler
- </p>
- </td>
- <td>
- <p>
- 1/euler
- </p>
- </td>
- <td>
- <p>
- 1.73245
- </p>
- </td>
- <td>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- euler_sqr
- </p>
- </td>
- <td>
- <p>
- euler<sup>2</sup>
- </p>
- </td>
- <td>
- <p>
- 0.333177
- </p>
- </td>
- <td>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <span class="bold"><strong>Misc</strong></span>
- </p>
- </td>
- <td>
- </td>
- <td>
- </td>
- <td>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- zeta_two
- </p>
- </td>
- <td>
- <p>
- ζ(2)
- </p>
- </td>
- <td>
- <p>
- 1.64493
- </p>
- </td>
- <td>
- <p>
- <a href="http://en.wikipedia.org/wiki/Riemann_zeta_function" target="_top">Riemann
- zeta function</a>
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- zeta_three
- </p>
- </td>
- <td>
- <p>
- ζ(3)
- </p>
- </td>
- <td>
- <p>
- 1.20205
- </p>
- </td>
- <td>
- <p>
- <a href="http://en.wikipedia.org/wiki/Riemann_zeta_function" target="_top">Riemann
- zeta function</a>
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- catalan
- </p>
- </td>
- <td>
- <p>
- <span class="emphasis"><em>K</em></span>
- </p>
- </td>
- <td>
- <p>
- 0.915965
- </p>
- </td>
- <td>
- <p>
- <a href="http://mathworld.wolfram.com/CatalansConstant.html" target="_top">Catalan
- (or Glaisher) combinatorial constant</a>
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- glaisher
- </p>
- </td>
- <td>
- <p>
- <span class="emphasis"><em>A</em></span>
- </p>
- </td>
- <td>
- <p>
- 1.28242
- </p>
- </td>
- <td>
- <p>
- <a href="https://oeis.org/A074962/constant" target="_top">Decimal expansion
- of Glaisher-Kinkelin constant</a>
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- khinchin
- </p>
- </td>
- <td>
- <p>
- <span class="emphasis"><em>k</em></span>
- </p>
- </td>
- <td>
- <p>
- 2.685452
- </p>
- </td>
- <td>
- <p>
- <a href="https://oeis.org/A002210/constant" target="_top">Decimal expansion
- of Khinchin constant</a>
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- extreme_value_skewness
- </p>
- </td>
- <td>
- <p>
- 12√6 ζ(3)/ π<sup>3</sup>
- </p>
- </td>
- <td>
- <p>
- 1.139547
- </p>
- </td>
- <td>
- <p>
- Extreme value distribution
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- rayleigh_skewness
- </p>
- </td>
- <td>
- <p>
- 2√π(π-3)/(4 - π)<sup>3/2</sup>
- </p>
- </td>
- <td>
- <p>
- 0.631110
- </p>
- </td>
- <td>
- <p>
- Rayleigh distribution skewness
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- rayleigh_kurtosis_excess
- </p>
- </td>
- <td>
- <p>
- -(6π<sup>2</sup>-24π+16)/(4-π)<sup>2</sup>
- </p>
- </td>
- <td>
- <p>
- 0.245089
- </p>
- </td>
- <td>
- <p>
- <a href="http://en.wikipedia.org/wiki/Rayleigh_distribution" target="_top">Rayleigh
- distribution kurtosis excess</a>
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- rayleigh_kurtosis
- </p>
- </td>
- <td>
- <p>
- 3+(6π<sup>2</sup>-24π+16)/(4-π)<sup>2</sup>
- </p>
- </td>
- <td>
- <p>
- 3.245089
- </p>
- </td>
- <td>
- <p>
- Rayleigh distribution kurtosis
- </p>
- </td>
- </tr>
- </tbody>
- </table></div>
- </div>
- <br class="table-break"><div class="note"><table border="0" summary="Note">
- <tr>
- <td rowspan="2" align="center" valign="top" width="25"><img alt="[Note]" src="../../../../../doc/src/images/note.png"></td>
- <th align="left">Note</th>
- </tr>
- <tr><td align="left" valign="top"><p>
- Integer values are <span class="bold"><strong>not included</strong></span> in this
- list of math constants, however interesting, because they can be so easily
- and exactly constructed, even for UDT, for example: <code class="computeroutput"><span class="keyword">static_cast</span><span class="special"><</span><span class="identifier">cpp_float</span><span class="special">>(</span><span class="number">42</span><span class="special">)</span></code>.
- </p></td></tr>
- </table></div>
- <div class="tip"><table border="0" summary="Tip">
- <tr>
- <td rowspan="2" align="center" valign="top" width="25"><img alt="[Tip]" src="../../../../../doc/src/images/tip.png"></td>
- <th align="left">Tip</th>
- </tr>
- <tr><td align="left" valign="top"><p>
- If you know the approximate value of the constant, you can search for the
- value to find Boost.Math chosen name in this table.
- </p></td></tr>
- </table></div>
- <div class="tip"><table border="0" summary="Tip">
- <tr>
- <td rowspan="2" align="center" valign="top" width="25"><img alt="[Tip]" src="../../../../../doc/src/images/tip.png"></td>
- <th align="left">Tip</th>
- </tr>
- <tr><td align="left" valign="top"><p>
- Bernoulli numbers are available at <a class="link" href="number_series/bernoulli_numbers.html" title="Bernoulli Numbers">Bernoulli
- numbers</a>.
- </p></td></tr>
- </table></div>
- <div class="tip"><table border="0" summary="Tip">
- <tr>
- <td rowspan="2" align="center" valign="top" width="25"><img alt="[Tip]" src="../../../../../doc/src/images/tip.png"></td>
- <th align="left">Tip</th>
- </tr>
- <tr><td align="left" valign="top"><p>
- Factorials are available at <a class="link" href="factorials/sf_factorial.html" title="Factorial">factorial</a>.
- </p></td></tr>
- </table></div>
- </div>
- <table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
- <td align="left"></td>
- <td align="right"><div class="copyright-footer">Copyright © 2006-2019 Nikhar
- Agrawal, Anton Bikineev, Paul A. Bristow, Marco Guazzone, Christopher Kormanyos,
- Hubert Holin, Bruno Lalande, John Maddock, Jeremy Murphy, Matthew Pulver, Johan
- Råde, Gautam Sewani, Benjamin Sobotta, Nicholas Thompson, Thijs van den Berg,
- Daryle Walker and Xiaogang Zhang<p>
- Distributed under the Boost Software License, Version 1.0. (See accompanying
- file LICENSE_1_0.txt or copy at <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>)
- </p>
- </div></td>
- </tr></table>
- <hr>
- <div class="spirit-nav">
- <a accesskey="p" href="tutorial/user_def.html"><img src="../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../constants.html"><img src="../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../index.html"><img src="../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="new_const.html"><img src="../../../../../doc/src/images/next.png" alt="Next"></a>
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