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<!DOCTYPE html>
<html>
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<title>Index — NumPy v1.23 Manual</title>
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<div>
<h1 id="index">Index</h1>
<div class="genindex-jumpbox">
<a href="#Symbols"><strong>Symbols</strong></a>
| <a href="#_"><strong>_</strong></a>
| <a href="#A"><strong>A</strong></a>
| <a href="#B"><strong>B</strong></a>
| <a href="#C"><strong>C</strong></a>
| <a href="#D"><strong>D</strong></a>
| <a href="#E"><strong>E</strong></a>
| <a href="#F"><strong>F</strong></a>
| <a href="#G"><strong>G</strong></a>
| <a href="#H"><strong>H</strong></a>
| <a href="#I"><strong>I</strong></a>
| <a href="#J"><strong>J</strong></a>
| <a href="#K"><strong>K</strong></a>
| <a href="#L"><strong>L</strong></a>
| <a href="#M"><strong>M</strong></a>
| <a href="#N"><strong>N</strong></a>
| <a href="#O"><strong>O</strong></a>
| <a href="#P"><strong>P</strong></a>
| <a href="#Q"><strong>Q</strong></a>
| <a href="#R"><strong>R</strong></a>
| <a href="#S"><strong>S</strong></a>
| <a href="#T"><strong>T</strong></a>
| <a href="#U"><strong>U</strong></a>
| <a href="#V"><strong>V</strong></a>
| <a href="#W"><strong>W</strong></a>
| <a href="#Y"><strong>Y</strong></a>
| <a href="#Z"><strong>Z</strong></a>
</div>
<h2 id="Symbols">Symbols</h2>
<table style="width: 100%" class="indextable genindextable"><tr>
<td style="width: 33%; vertical-align: top;"><ul>
<li><a href="glossary.html#term-n"><strong>(n,)</strong></a>
</li>
<li><a href="glossary.html#term-1"><strong>-1</strong></a>
</li>
<li><a href="glossary.html#term-.-.-."><strong>. . .</strong></a>
</li>
</ul></td>
<td style="width: 33%; vertical-align: top;"><ul>
<li><a href="glossary.html#term-.base"><strong>.base</strong></a>
</li>
<li><a href="glossary.html#term-0"><strong>:</strong></a>
</li>
<li><a href="glossary.html#term-2"><strong><</strong></a>
</li>
<li><a href="glossary.html#term-3"><strong>></strong></a>
</li>
</ul></td>
</tr></table>
<h2 id="_">_</h2>
<table style="width: 100%" class="indextable genindextable"><tr>
<td style="width: 33%; vertical-align: top;"><ul>
<li><a href="reference/generated/numpy.ma.MaskedArray.__abs__.html#numpy.ma.MaskedArray.__abs__">__abs__() (numpy.ma.MaskedArray method)</a>
<ul>
<li><a href="reference/generated/numpy.ndarray.__abs__.html#numpy.ndarray.__abs__">(numpy.ndarray method)</a>
</li>
</ul></li>
<li><a href="reference/generated/numpy.ma.MaskedArray.__add__.html#numpy.ma.MaskedArray.__add__">__add__() (numpy.ma.MaskedArray method)</a>
<ul>
<li><a href="reference/generated/numpy.ndarray.__add__.html#numpy.ndarray.__add__">(numpy.ndarray method)</a>
</li>
</ul></li>
<li><a href="reference/generated/numpy.ma.MaskedArray.__and__.html#numpy.ma.MaskedArray.__and__">__and__() (numpy.ma.MaskedArray method)</a>
<ul>
<li><a href="reference/generated/numpy.ndarray.__and__.html#numpy.ndarray.__and__">(numpy.ndarray method)</a>
</li>
</ul></li>
<li><a href="reference/arrays.classes.html#numpy.class.__array__">__array__() (numpy.class method)</a>
<ul>
<li><a href="reference/generated/numpy.generic.__array__.html#numpy.generic.__array__">(numpy.generic method)</a>
</li>
<li><a href="reference/generated/numpy.ma.MaskedArray.__array__.html#numpy.ma.MaskedArray.__array__">(numpy.ma.MaskedArray method)</a>
</li>
<li><a href="reference/generated/numpy.ndarray.__array__.html#numpy.ndarray.__array__">(numpy.ndarray method)</a>
</li>
</ul></li>
<li><a href="user/c-info.beyond-basics.html#ndarray.__array_finalize__">__array_finalize__ (ndarray attribute)</a>
</li>
<li><a href="reference/arrays.classes.html#numpy.class.__array_finalize__">__array_finalize__() (numpy.class method)</a>
</li>
<li><a href="reference/arrays.classes.html#numpy.class.__array_function__">__array_function__() (numpy.class method)</a>
</li>
<li><a href="reference/generated/numpy.generic.__array_interface__.html#numpy.generic.__array_interface__">__array_interface__ (numpy.generic attribute)</a>
</li>
<li><a href="reference/arrays.classes.html#numpy.class.__array_prepare__">__array_prepare__() (numpy.class method)</a>
</li>
<li><a href="user/c-info.beyond-basics.html#ndarray.__array_priority__">__array_priority__ (ndarray attribute)</a>
<ul>
<li><a href="reference/arrays.classes.html#numpy.class.__array_priority__">(numpy.class attribute)</a>
</li>
<li><a href="reference/generated/numpy.generic.__array_priority__.html#numpy.generic.__array_priority__">(numpy.generic attribute)</a>
</li>
<li><a href="reference/generated/numpy.ma.MaskedArray.__array_priority__.html#numpy.ma.MaskedArray.__array_priority__">(numpy.ma.MaskedArray attribute)</a>
</li>
</ul></li>
<li><a href="reference/generated/numpy.generic.__array_struct__.html#numpy.generic.__array_struct__">__array_struct__ (numpy.generic attribute)</a>
</li>
<li><a href="reference/arrays.classes.html#numpy.class.__array_ufunc__">__array_ufunc__() (numpy.class method)</a>
</li>
<li><a href="user/c-info.beyond-basics.html#ndarray.__array_wrap__">__array_wrap__ (ndarray attribute)</a>
</li>
<li><a href="reference/arrays.classes.html#numpy.class.__array_wrap__">__array_wrap__() (numpy.class method)</a>
<ul>
<li><a href="reference/generated/numpy.generic.__array_wrap__.html#numpy.generic.__array_wrap__">(numpy.generic method)</a>
</li>
<li><a href="reference/generated/numpy.ma.MaskedArray.__array_wrap__.html#numpy.ma.MaskedArray.__array_wrap__">(numpy.ma.MaskedArray method)</a>
</li>
<li><a href="reference/generated/numpy.ndarray.__array_wrap__.html#numpy.ndarray.__array_wrap__">(numpy.ndarray method)</a>
</li>
</ul></li>
<li><a href="reference/generated/numpy.ma.MaskedArray.__bool__.html#numpy.ma.MaskedArray.__bool__">__bool__() (numpy.ma.MaskedArray method)</a>
<ul>
<li><a href="reference/generated/numpy.ndarray.__bool__.html#numpy.ndarray.__bool__">(numpy.ndarray method)</a>
</li>
</ul></li>
<li><a href="reference/generated/numpy.errstate.__call__.html#numpy.errstate.__call__">__call__() (numpy.errstate method)</a>
<ul>
<li><a href="reference/generated/numpy.poly1d.__call__.html#numpy.poly1d.__call__">(numpy.poly1d method)</a>
</li>
<li><a href="reference/generated/numpy.polynomial.chebyshev.Chebyshev.__call__.html#numpy.polynomial.chebyshev.Chebyshev.__call__">(numpy.polynomial.chebyshev.Chebyshev method)</a>
</li>
<li><a href="reference/generated/numpy.polynomial.hermite.Hermite.__call__.html#numpy.polynomial.hermite.Hermite.__call__">(numpy.polynomial.hermite.Hermite method)</a>
</li>
<li><a href="reference/generated/numpy.polynomial.hermite_e.HermiteE.__call__.html#numpy.polynomial.hermite_e.HermiteE.__call__">(numpy.polynomial.hermite_e.HermiteE method)</a>
</li>
<li><a href="reference/generated/numpy.polynomial.laguerre.Laguerre.__call__.html#numpy.polynomial.laguerre.Laguerre.__call__">(numpy.polynomial.laguerre.Laguerre method)</a>
</li>
<li><a href="reference/generated/numpy.polynomial.legendre.Legendre.__call__.html#numpy.polynomial.legendre.Legendre.__call__">(numpy.polynomial.legendre.Legendre method)</a>
</li>
<li><a href="reference/generated/numpy.polynomial.polynomial.Polynomial.__call__.html#numpy.polynomial.polynomial.Polynomial.__call__">(numpy.polynomial.polynomial.Polynomial method)</a>
</li>
<li><a href="reference/generated/numpy.testing.suppress_warnings.__call__.html#numpy.testing.suppress_warnings.__call__">(numpy.testing.suppress_warnings method)</a>
</li>
<li><a href="reference/generated/numpy.ufunc.__call__.html#numpy.ufunc.__call__">(numpy.ufunc method)</a>
</li>
<li><a href="reference/generated/numpy.vectorize.__call__.html#numpy.vectorize.__call__">(numpy.vectorize method)</a>
</li>
</ul></li>
<li><a href="reference/generated/numpy.dtype.__class_getitem__.html#numpy.dtype.__class_getitem__">__class_getitem__() (numpy.dtype method)</a>
<ul>
<li><a href="reference/generated/numpy.ndarray.__class_getitem__.html#numpy.ndarray.__class_getitem__">(numpy.ndarray method)</a>
</li>
<li><a href="reference/generated/numpy.number.__class_getitem__.html#numpy.number.__class_getitem__">(numpy.number method)</a>
</li>
</ul></li>
<li><a href="reference/generated/numpy.ndarray.__complex__.html#numpy.ndarray.__complex__">__complex__() (numpy.ndarray method)</a>
</li>
<li><a href="reference/generated/numpy.ma.MaskedArray.__contains__.html#numpy.ma.MaskedArray.__contains__">__contains__() (numpy.ma.MaskedArray method)</a>
<ul>
<li><a href="reference/generated/numpy.ndarray.__contains__.html#numpy.ndarray.__contains__">(numpy.ndarray method)</a>
</li>
</ul></li>
<li><a href="reference/generated/numpy.ma.MaskedArray.__copy__.html#numpy.ma.MaskedArray.__copy__">__copy__() (numpy.ma.MaskedArray method)</a>
<ul>
<li><a href="reference/generated/numpy.ndarray.__copy__.html#numpy.ndarray.__copy__">(numpy.ndarray method)</a>
</li>
</ul></li>
<li><a href="reference/generated/numpy.ma.MaskedArray.__deepcopy__.html#numpy.ma.MaskedArray.__deepcopy__">__deepcopy__() (numpy.ma.MaskedArray method)</a>
<ul>
<li><a href="reference/generated/numpy.ndarray.__deepcopy__.html#numpy.ndarray.__deepcopy__">(numpy.ndarray method)</a>
</li>
</ul></li>
<li><a href="reference/generated/numpy.ma.MaskedArray.__delitem__.html#numpy.ma.MaskedArray.__delitem__">__delitem__() (numpy.ma.MaskedArray method)</a>
</li>
<li><a href="reference/generated/numpy.ma.MaskedArray.__div__.html#numpy.ma.MaskedArray.__div__">__div__() (numpy.ma.MaskedArray method)</a>
</li>
<li><a href="reference/generated/numpy.ma.MaskedArray.__divmod__.html#numpy.ma.MaskedArray.__divmod__">__divmod__() (numpy.ma.MaskedArray method)</a>
<ul>
<li><a href="reference/generated/numpy.ndarray.__divmod__.html#numpy.ndarray.__divmod__">(numpy.ndarray method)</a>
</li>
</ul></li>
<li><a href="reference/generated/numpy.ma.MaskedArray.__eq__.html#numpy.ma.MaskedArray.__eq__">__eq__() (numpy.ma.MaskedArray method)</a>
<ul>
<li><a href="reference/generated/numpy.ndarray.__eq__.html#numpy.ndarray.__eq__">(numpy.ndarray method)</a>
</li>
</ul></li>
<li><a href="reference/generated/numpy.ma.MaskedArray.__float__.html#numpy.ma.MaskedArray.__float__">__float__() (numpy.ma.MaskedArray method)</a>
<ul>
<li><a href="reference/generated/numpy.ndarray.__float__.html#numpy.ndarray.__float__">(numpy.ndarray method)</a>
</li>
</ul></li>
<li><a href="reference/generated/numpy.ma.MaskedArray.__floordiv__.html#numpy.ma.MaskedArray.__floordiv__">__floordiv__() (numpy.ma.MaskedArray method)</a>
<ul>
<li><a href="reference/generated/numpy.ndarray.__floordiv__.html#numpy.ndarray.__floordiv__">(numpy.ndarray method)</a>
</li>
</ul></li>
<li><a href="reference/generated/numpy.dtype.__ge__.html#numpy.dtype.__ge__">__ge__() (numpy.dtype method)</a>
<ul>
<li><a href="reference/generated/numpy.ma.MaskedArray.__ge__.html#numpy.ma.MaskedArray.__ge__">(numpy.ma.MaskedArray method)</a>
</li>
<li><a href="reference/generated/numpy.ndarray.__ge__.html#numpy.ndarray.__ge__">(numpy.ndarray method)</a>
</li>
</ul></li>
<li><a href="reference/generated/numpy.ma.MaskedArray.__getitem__.html#numpy.ma.MaskedArray.__getitem__">__getitem__() (numpy.ma.MaskedArray method)</a>
<ul>
<li><a href="reference/generated/numpy.ndarray.__getitem__.html#numpy.ndarray.__getitem__">(numpy.ndarray method)</a>
</li>
</ul></li>
<li><a href="reference/generated/numpy.ma.MaskedArray.__getstate__.html#numpy.ma.MaskedArray.__getstate__">__getstate__() (numpy.ma.MaskedArray method)</a>
</li>
<li><a href="reference/generated/numpy.dtype.__gt__.html#numpy.dtype.__gt__">__gt__() (numpy.dtype method)</a>
<ul>
<li><a href="reference/generated/numpy.ma.MaskedArray.__gt__.html#numpy.ma.MaskedArray.__gt__">(numpy.ma.MaskedArray method)</a>
</li>
<li><a href="reference/generated/numpy.ndarray.__gt__.html#numpy.ndarray.__gt__">(numpy.ndarray method)</a>
</li>
</ul></li>
<li><a href="reference/generated/numpy.ma.MaskedArray.__iadd__.html#numpy.ma.MaskedArray.__iadd__">__iadd__() (numpy.ma.MaskedArray method)</a>
<ul>
<li><a href="reference/generated/numpy.ndarray.__iadd__.html#numpy.ndarray.__iadd__">(numpy.ndarray method)</a>
</li>
</ul></li>
<li><a href="reference/generated/numpy.ma.MaskedArray.__iand__.html#numpy.ma.MaskedArray.__iand__">__iand__() (numpy.ma.MaskedArray method)</a>
<ul>
<li><a href="reference/generated/numpy.ndarray.__iand__.html#numpy.ndarray.__iand__">(numpy.ndarray method)</a>
</li>
</ul></li>
<li><a href="reference/generated/numpy.ma.MaskedArray.__idiv__.html#numpy.ma.MaskedArray.__idiv__">__idiv__() (numpy.ma.MaskedArray method)</a>
</li>
<li><a href="reference/generated/numpy.ma.MaskedArray.__ifloordiv__.html#numpy.ma.MaskedArray.__ifloordiv__">__ifloordiv__() (numpy.ma.MaskedArray method)</a>
<ul>
<li><a href="reference/generated/numpy.ndarray.__ifloordiv__.html#numpy.ndarray.__ifloordiv__">(numpy.ndarray method)</a>
</li>
</ul></li>
<li><a href="reference/generated/numpy.ma.MaskedArray.__ilshift__.html#numpy.ma.MaskedArray.__ilshift__">__ilshift__() (numpy.ma.MaskedArray method)</a>
<ul>
<li><a href="reference/generated/numpy.ndarray.__ilshift__.html#numpy.ndarray.__ilshift__">(numpy.ndarray method)</a>
</li>
</ul></li>
<li><a href="reference/generated/numpy.ma.MaskedArray.__imod__.html#numpy.ma.MaskedArray.__imod__">__imod__() (numpy.ma.MaskedArray method)</a>
<ul>
<li><a href="reference/generated/numpy.ndarray.__imod__.html#numpy.ndarray.__imod__">(numpy.ndarray method)</a>
</li>
</ul></li>
</ul></td>
<td style="width: 33%; vertical-align: top;"><ul>
<li><a href="reference/generated/numpy.ma.MaskedArray.__imul__.html#numpy.ma.MaskedArray.__imul__">__imul__() (numpy.ma.MaskedArray method)</a>
<ul>
<li><a href="reference/generated/numpy.ndarray.__imul__.html#numpy.ndarray.__imul__">(numpy.ndarray method)</a>
</li>
</ul></li>
<li><a href="reference/generated/numpy.ma.MaskedArray.__int__.html#numpy.ma.MaskedArray.__int__">__int__() (numpy.ma.MaskedArray method)</a>
<ul>
<li><a href="reference/generated/numpy.ndarray.__int__.html#numpy.ndarray.__int__">(numpy.ndarray method)</a>
</li>
</ul></li>
<li><a href="reference/generated/numpy.ndarray.__invert__.html#numpy.ndarray.__invert__">__invert__() (numpy.ndarray method)</a>
</li>
<li><a href="reference/generated/numpy.ma.MaskedArray.__ior__.html#numpy.ma.MaskedArray.__ior__">__ior__() (numpy.ma.MaskedArray method)</a>
<ul>
<li><a href="reference/generated/numpy.ndarray.__ior__.html#numpy.ndarray.__ior__">(numpy.ndarray method)</a>
</li>
</ul></li>
<li><a href="reference/generated/numpy.ma.MaskedArray.__ipow__.html#numpy.ma.MaskedArray.__ipow__">__ipow__() (numpy.ma.MaskedArray method)</a>
<ul>
<li><a href="reference/generated/numpy.ndarray.__ipow__.html#numpy.ndarray.__ipow__">(numpy.ndarray method)</a>
</li>
</ul></li>
<li><a href="reference/generated/numpy.ma.MaskedArray.__irshift__.html#numpy.ma.MaskedArray.__irshift__">__irshift__() (numpy.ma.MaskedArray method)</a>
<ul>
<li><a href="reference/generated/numpy.ndarray.__irshift__.html#numpy.ndarray.__irshift__">(numpy.ndarray method)</a>
</li>
</ul></li>
<li><a href="reference/generated/numpy.ma.MaskedArray.__isub__.html#numpy.ma.MaskedArray.__isub__">__isub__() (numpy.ma.MaskedArray method)</a>
<ul>
<li><a href="reference/generated/numpy.ndarray.__isub__.html#numpy.ndarray.__isub__">(numpy.ndarray method)</a>
</li>
</ul></li>
<li><a href="reference/generated/numpy.ma.MaskedArray.__itruediv__.html#numpy.ma.MaskedArray.__itruediv__">__itruediv__() (numpy.ma.MaskedArray method)</a>
<ul>
<li><a href="reference/generated/numpy.ndarray.__itruediv__.html#numpy.ndarray.__itruediv__">(numpy.ndarray method)</a>
</li>
</ul></li>
<li><a href="reference/generated/numpy.ma.MaskedArray.__ixor__.html#numpy.ma.MaskedArray.__ixor__">__ixor__() (numpy.ma.MaskedArray method)</a>
<ul>
<li><a href="reference/generated/numpy.ndarray.__ixor__.html#numpy.ndarray.__ixor__">(numpy.ndarray method)</a>
</li>
</ul></li>
<li><a href="reference/generated/numpy.dtype.__le__.html#numpy.dtype.__le__">__le__() (numpy.dtype method)</a>
<ul>
<li><a href="reference/generated/numpy.ma.MaskedArray.__le__.html#numpy.ma.MaskedArray.__le__">(numpy.ma.MaskedArray method)</a>
</li>
<li><a href="reference/generated/numpy.ndarray.__le__.html#numpy.ndarray.__le__">(numpy.ndarray method)</a>
</li>
</ul></li>
<li><a href="reference/generated/numpy.ma.MaskedArray.__len__.html#numpy.ma.MaskedArray.__len__">__len__() (numpy.ma.MaskedArray method)</a>
<ul>
<li><a href="reference/generated/numpy.ndarray.__len__.html#numpy.ndarray.__len__">(numpy.ndarray method)</a>
</li>
</ul></li>
<li><a href="reference/generated/numpy.ma.MaskedArray.__lshift__.html#numpy.ma.MaskedArray.__lshift__">__lshift__() (numpy.ma.MaskedArray method)</a>
<ul>
<li><a href="reference/generated/numpy.ndarray.__lshift__.html#numpy.ndarray.__lshift__">(numpy.ndarray method)</a>
</li>
</ul></li>
<li><a href="reference/generated/numpy.dtype.__lt__.html#numpy.dtype.__lt__">__lt__() (numpy.dtype method)</a>
<ul>
<li><a href="reference/generated/numpy.ma.MaskedArray.__lt__.html#numpy.ma.MaskedArray.__lt__">(numpy.ma.MaskedArray method)</a>
</li>
<li><a href="reference/generated/numpy.ndarray.__lt__.html#numpy.ndarray.__lt__">(numpy.ndarray method)</a>
</li>
</ul></li>
<li><a href="reference/generated/numpy.ndarray.__matmul__.html#numpy.ndarray.__matmul__">__matmul__() (numpy.ndarray method)</a>
</li>
<li><a href="reference/generated/numpy.ma.MaskedArray.__mod__.html#numpy.ma.MaskedArray.__mod__">__mod__() (numpy.ma.MaskedArray method)</a>
<ul>
<li><a href="reference/generated/numpy.ndarray.__mod__.html#numpy.ndarray.__mod__">(numpy.ndarray method)</a>
</li>
</ul></li>
<li><a href="reference/generated/numpy.ma.MaskedArray.__mul__.html#numpy.ma.MaskedArray.__mul__">__mul__() (numpy.ma.MaskedArray method)</a>
<ul>
<li><a href="reference/generated/numpy.ndarray.__mul__.html#numpy.ndarray.__mul__">(numpy.ndarray method)</a>
</li>
</ul></li>
<li><a href="reference/generated/numpy.ma.MaskedArray.__ne__.html#numpy.ma.MaskedArray.__ne__">__ne__() (numpy.ma.MaskedArray method)</a>
<ul>
<li><a href="reference/generated/numpy.ndarray.__ne__.html#numpy.ndarray.__ne__">(numpy.ndarray method)</a>
</li>
</ul></li>
<li><a href="reference/generated/numpy.ndarray.__neg__.html#numpy.ndarray.__neg__">__neg__() (numpy.ndarray method)</a>
</li>
<li><a href="reference/generated/numpy.ma.MaskedArray.__new__.html#numpy.ma.MaskedArray.__new__">__new__() (numpy.ma.MaskedArray static method)</a>
<ul>
<li><a href="reference/generated/numpy.ndarray.__new__.html#numpy.ndarray.__new__">(numpy.ndarray method)</a>
</li>
</ul></li>
<li><a href="reference/generated/numpy.ma.MaskedArray.__or__.html#numpy.ma.MaskedArray.__or__">__or__() (numpy.ma.MaskedArray method)</a>
<ul>
<li><a href="reference/generated/numpy.ndarray.__or__.html#numpy.ndarray.__or__">(numpy.ndarray method)</a>
</li>
</ul></li>
<li><a href="reference/generated/numpy.ndarray.__pos__.html#numpy.ndarray.__pos__">__pos__() (numpy.ndarray method)</a>
</li>
<li><a href="reference/generated/numpy.ma.MaskedArray.__pow__.html#numpy.ma.MaskedArray.__pow__">__pow__() (numpy.ma.MaskedArray method)</a>
<ul>
<li><a href="reference/generated/numpy.ndarray.__pow__.html#numpy.ndarray.__pow__">(numpy.ndarray method)</a>
</li>
</ul></li>
<li><a href="reference/generated/numpy.ma.MaskedArray.__radd__.html#numpy.ma.MaskedArray.__radd__">__radd__() (numpy.ma.MaskedArray method)</a>
</li>
<li><a href="reference/generated/numpy.ma.MaskedArray.__rand__.html#numpy.ma.MaskedArray.__rand__">__rand__() (numpy.ma.MaskedArray method)</a>
</li>
<li><a href="reference/generated/numpy.ma.MaskedArray.__rdivmod__.html#numpy.ma.MaskedArray.__rdivmod__">__rdivmod__() (numpy.ma.MaskedArray method)</a>
</li>
<li><a href="reference/generated/numpy.dtype.__reduce__.html#numpy.dtype.__reduce__">__reduce__() (numpy.dtype method)</a>
<ul>
<li><a href="reference/generated/numpy.generic.__reduce__.html#numpy.generic.__reduce__">(numpy.generic method)</a>
</li>
<li><a href="reference/generated/numpy.ma.MaskedArray.__reduce__.html#numpy.ma.MaskedArray.__reduce__">(numpy.ma.MaskedArray method)</a>
</li>
<li><a href="reference/generated/numpy.ndarray.__reduce__.html#numpy.ndarray.__reduce__">(numpy.ndarray method)</a>
</li>
</ul></li>
<li><a href="reference/generated/numpy.ma.MaskedArray.__repr__.html#numpy.ma.MaskedArray.__repr__">__repr__() (numpy.ma.MaskedArray method)</a>
<ul>
<li><a href="reference/generated/numpy.ndarray.__repr__.html#numpy.ndarray.__repr__">(numpy.ndarray method)</a>
</li>
</ul></li>
<li><a href="reference/generated/numpy.ma.MaskedArray.__rfloordiv__.html#numpy.ma.MaskedArray.__rfloordiv__">__rfloordiv__() (numpy.ma.MaskedArray method)</a>
</li>
<li><a href="reference/generated/numpy.ma.MaskedArray.__rlshift__.html#numpy.ma.MaskedArray.__rlshift__">__rlshift__() (numpy.ma.MaskedArray method)</a>
</li>
<li><a href="reference/generated/numpy.ma.MaskedArray.__rmod__.html#numpy.ma.MaskedArray.__rmod__">__rmod__() (numpy.ma.MaskedArray method)</a>
</li>
<li><a href="reference/generated/numpy.ma.MaskedArray.__rmul__.html#numpy.ma.MaskedArray.__rmul__">__rmul__() (numpy.ma.MaskedArray method)</a>
</li>
<li><a href="reference/generated/numpy.ma.MaskedArray.__ror__.html#numpy.ma.MaskedArray.__ror__">__ror__() (numpy.ma.MaskedArray method)</a>
</li>
<li><a href="reference/generated/numpy.ma.MaskedArray.__rpow__.html#numpy.ma.MaskedArray.__rpow__">__rpow__() (numpy.ma.MaskedArray method)</a>
</li>
<li><a href="reference/generated/numpy.ma.MaskedArray.__rrshift__.html#numpy.ma.MaskedArray.__rrshift__">__rrshift__() (numpy.ma.MaskedArray method)</a>
</li>
<li><a href="reference/generated/numpy.ma.MaskedArray.__rshift__.html#numpy.ma.MaskedArray.__rshift__">__rshift__() (numpy.ma.MaskedArray method)</a>
<ul>
<li><a href="reference/generated/numpy.ndarray.__rshift__.html#numpy.ndarray.__rshift__">(numpy.ndarray method)</a>
</li>
</ul></li>
<li><a href="reference/generated/numpy.ma.MaskedArray.__rsub__.html#numpy.ma.MaskedArray.__rsub__">__rsub__() (numpy.ma.MaskedArray method)</a>
</li>
<li><a href="reference/generated/numpy.ma.MaskedArray.__rtruediv__.html#numpy.ma.MaskedArray.__rtruediv__">__rtruediv__() (numpy.ma.MaskedArray method)</a>
</li>
<li><a href="reference/generated/numpy.ma.MaskedArray.__rxor__.html#numpy.ma.MaskedArray.__rxor__">__rxor__() (numpy.ma.MaskedArray method)</a>
</li>
<li><a href="reference/generated/numpy.ma.MaskedArray.__setitem__.html#numpy.ma.MaskedArray.__setitem__">__setitem__() (numpy.ma.MaskedArray method)</a>
<ul>
<li><a href="reference/generated/numpy.ndarray.__setitem__.html#numpy.ndarray.__setitem__">(numpy.ndarray method)</a>
</li>
</ul></li>
<li><a href="reference/generated/numpy.ma.MaskedArray.__setmask__.html#numpy.ma.MaskedArray.__setmask__">__setmask__() (numpy.ma.MaskedArray method)</a>
</li>
<li><a href="reference/generated/numpy.dtype.__setstate__.html#numpy.dtype.__setstate__">__setstate__() (numpy.dtype method)</a>
<ul>
<li><a href="reference/generated/numpy.generic.__setstate__.html#numpy.generic.__setstate__">(numpy.generic method)</a>
</li>
<li><a href="reference/generated/numpy.ma.MaskedArray.__setstate__.html#numpy.ma.MaskedArray.__setstate__">(numpy.ma.MaskedArray method)</a>
</li>
<li><a href="reference/generated/numpy.ndarray.__setstate__.html#numpy.ndarray.__setstate__">(numpy.ndarray method)</a>
</li>
</ul></li>
<li><a href="reference/generated/numpy.ma.MaskedArray.__str__.html#numpy.ma.MaskedArray.__str__">__str__() (numpy.ma.MaskedArray method)</a>
<ul>
<li><a href="reference/generated/numpy.ndarray.__str__.html#numpy.ndarray.__str__">(numpy.ndarray method)</a>
</li>
</ul></li>
<li><a href="reference/generated/numpy.ma.MaskedArray.__sub__.html#numpy.ma.MaskedArray.__sub__">__sub__() (numpy.ma.MaskedArray method)</a>
<ul>
<li><a href="reference/generated/numpy.ndarray.__sub__.html#numpy.ndarray.__sub__">(numpy.ndarray method)</a>
</li>
</ul></li>
<li><a href="reference/generated/numpy.ma.MaskedArray.__truediv__.html#numpy.ma.MaskedArray.__truediv__">__truediv__() (numpy.ma.MaskedArray method)</a>
<ul>
<li><a href="reference/generated/numpy.ndarray.__truediv__.html#numpy.ndarray.__truediv__">(numpy.ndarray method)</a>
</li>
</ul></li>
<li><a href="reference/generated/numpy.ma.MaskedArray.__xor__.html#numpy.ma.MaskedArray.__xor__">__xor__() (numpy.ma.MaskedArray method)</a>
<ul>
<li><a href="reference/generated/numpy.ndarray.__xor__.html#numpy.ndarray.__xor__">(numpy.ndarray method)</a>
</li>
</ul></li>
</ul></td>
</tr></table>
<h2 id="A">A</h2>
<table style="width: 100%" class="indextable genindextable"><tr>
<td style="width: 33%; vertical-align: top;"><ul>
<li><a href="reference/generated/numpy.matrix.A.html#numpy.matrix.A">A (numpy.matrix property)</a>
</li>
<li><a href="reference/generated/numpy.matrix.A1.html#numpy.matrix.A1">A1 (numpy.matrix property)</a>
</li>
<li><a href="reference/generated/numpy.absolute.html#numpy.absolute">absolute (in module numpy)</a>
</li>
<li><a href="reference/generated/numpy.DataSource.abspath.html#numpy.DataSource.abspath">abspath() (numpy.DataSource method)</a>
</li>
<li>
accumulate
<ul>
<li><a href="dev/internals.code-explanations.html#index-8">ufunc methods</a>
</li>
</ul></li>
<li><a href="reference/generated/numpy.ufunc.accumulate.html#numpy.ufunc.accumulate">accumulate() (numpy.ufunc method)</a>
</li>
<li><a href="reference/generated/numpy.add.html#numpy.add">add (in module numpy)</a>
</li>
<li><a href="reference/distutils.html#numpy.distutils.misc_util.Configuration.add_data_dir">add_data_dir() (numpy.distutils.misc_util.Configuration method)</a>
</li>
<li><a href="reference/distutils.html#numpy.distutils.misc_util.Configuration.add_data_files">add_data_files() (numpy.distutils.misc_util.Configuration method)</a>
</li>
<li><a href="reference/distutils.html#numpy.distutils.misc_util.Configuration.add_extension">add_extension() (numpy.distutils.misc_util.Configuration method)</a>
</li>
<li><a href="reference/distutils.html#numpy.distutils.misc_util.Configuration.add_headers">add_headers() (numpy.distutils.misc_util.Configuration method)</a>
</li>
<li><a href="reference/distutils.html#numpy.distutils.misc_util.Configuration.add_include_dirs">add_include_dirs() (numpy.distutils.misc_util.Configuration method)</a>
</li>
<li><a href="reference/distutils.html#numpy.distutils.misc_util.Configuration.add_installed_library">add_installed_library() (numpy.distutils.misc_util.Configuration method)</a>
</li>
<li><a href="reference/distutils.html#numpy.distutils.misc_util.Configuration.add_library">add_library() (numpy.distutils.misc_util.Configuration method)</a>
</li>
<li><a href="reference/distutils.html#numpy.distutils.misc_util.Configuration.add_npy_pkg_config">add_npy_pkg_config() (numpy.distutils.misc_util.Configuration method)</a>
</li>
<li><a href="reference/distutils.html#numpy.distutils.misc_util.Configuration.add_scripts">add_scripts() (numpy.distutils.misc_util.Configuration method)</a>
</li>
<li><a href="reference/distutils.html#numpy.distutils.misc_util.Configuration.add_subpackage">add_subpackage() (numpy.distutils.misc_util.Configuration method)</a>
</li>
<li>
adding new
<ul>
<li><a href="user/c-info.beyond-basics.html#index-3">dtype</a>, <a href="user/c-info.beyond-basics.html#index-4">[1]</a>
</li>
<li><a href="user/c-info.ufunc-tutorial.html#index-0">ufunc</a>, <a href="user/c-info.ufunc-tutorial.html#index-1">[1]</a>, <a href="user/c-info.ufunc-tutorial.html#index-2">[2]</a>, <a href="user/c-info.ufunc-tutorial.html#index-3">[3]</a>, <a href="user/c-info.ufunc-tutorial.html#index-4">[4]</a>
</li>
</ul></li>
<li><a href="reference/random/bit_generators/generated/numpy.random.PCG64.advance.html#numpy.random.PCG64.advance">advance() (numpy.random.PCG64 method)</a>
<ul>
<li><a href="reference/random/bit_generators/generated/numpy.random.PCG64DXSM.advance.html#numpy.random.PCG64DXSM.advance">(numpy.random.PCG64DXSM method)</a>
</li>
<li><a href="reference/random/bit_generators/generated/numpy.random.Philox.advance.html#numpy.random.Philox.advance">(numpy.random.Philox method)</a>
</li>
</ul></li>
<li><a href="glossary.html#term-advanced-indexing"><strong>advanced indexing</strong></a>
</li>
<li><a href="reference/arrays.ndarray.html#index-3">aligned</a>
</li>
<li><a href="reference/generated/numpy.dtype.alignment.html#numpy.dtype.alignment">alignment (numpy.dtype attribute)</a>
</li>
<li><a href="reference/generated/numpy.all.html#numpy.all">all() (in module numpy)</a>
<ul>
<li><a href="reference/generated/numpy.char.chararray.all.html#numpy.char.chararray.all">(numpy.char.chararray method)</a>
</li>
<li><a href="reference/generated/numpy.chararray.all.html#numpy.chararray.all">(numpy.chararray method)</a>
</li>
<li><a href="reference/generated/numpy.ma.masked_array.all.html#numpy.ma.masked_array.all">(numpy.ma.masked_array method)</a>
</li>
<li><a href="reference/generated/numpy.ma.MaskedArray.all.html#numpy.ma.MaskedArray.all">(numpy.ma.MaskedArray method)</a>
</li>
<li><a href="reference/generated/numpy.ma.MaskType.all.html#numpy.ma.MaskType.all">(numpy.ma.MaskType method)</a>
</li>
<li><a href="reference/generated/numpy.matrix.all.html#numpy.matrix.all">(numpy.matrix method)</a>
</li>
<li><a href="reference/generated/numpy.memmap.all.html#numpy.memmap.all">(numpy.memmap method)</a>
</li>
<li><a href="reference/generated/numpy.ndarray.all.html#numpy.ndarray.all">(numpy.ndarray method)</a>
</li>
<li><a href="reference/generated/numpy.recarray.all.html#numpy.recarray.all">(numpy.recarray method)</a>
</li>
<li><a href="reference/generated/numpy.record.all.html#numpy.record.all">(numpy.record method)</a>
</li>
</ul></li>
<li><a href="reference/distutils/misc_util.html#numpy.distutils.misc_util.all_strings">all_strings() (in module numpy.distutils.misc_util)</a>
</li>
<li><a href="reference/generated/numpy.allclose.html#numpy.allclose">allclose() (in module numpy)</a>
</li>
<li><a href="reference/distutils/misc_util.html#numpy.distutils.misc_util.allpath">allpath() (in module numpy.distutils.misc_util)</a>
</li>
<li><a href="glossary.html#term-along-an-axis"><strong>along an axis</strong></a>
</li>
<li><a href="reference/generated/numpy.amax.html#numpy.amax">amax() (in module numpy)</a>
</li>
<li><a href="reference/generated/numpy.amin.html#numpy.amin">amin() (in module numpy)</a>
</li>
<li><a href="reference/generated/numpy.angle.html#numpy.angle">angle() (in module numpy)</a>
</li>
<li><a href="reference/generated/numpy.ma.masked_array.anom.html#numpy.ma.masked_array.anom">anom() (numpy.ma.masked_array method)</a>
<ul>
<li><a href="reference/generated/numpy.ma.MaskedArray.anom.html#numpy.ma.MaskedArray.anom">(numpy.ma.MaskedArray method)</a>
</li>
</ul></li>
<li><a href="reference/generated/numpy.any.html#numpy.any">any() (in module numpy)</a>
<ul>
<li><a href="reference/generated/numpy.char.chararray.any.html#numpy.char.chararray.any">(numpy.char.chararray method)</a>
</li>
<li><a href="reference/generated/numpy.chararray.any.html#numpy.chararray.any">(numpy.chararray method)</a>
</li>
<li><a href="reference/generated/numpy.ma.masked_array.any.html#numpy.ma.masked_array.any">(numpy.ma.masked_array method)</a>
</li>
<li><a href="reference/generated/numpy.ma.MaskedArray.any.html#numpy.ma.MaskedArray.any">(numpy.ma.MaskedArray method)</a>
</li>
<li><a href="reference/generated/numpy.ma.MaskType.any.html#numpy.ma.MaskType.any">(numpy.ma.MaskType method)</a>
</li>
<li><a href="reference/generated/numpy.matrix.any.html#numpy.matrix.any">(numpy.matrix method)</a>
</li>
<li><a href="reference/generated/numpy.memmap.any.html#numpy.memmap.any">(numpy.memmap method)</a>
</li>
<li><a href="reference/generated/numpy.ndarray.any.html#numpy.ndarray.any">(numpy.ndarray method)</a>
</li>
<li><a href="reference/generated/numpy.recarray.any.html#numpy.recarray.any">(numpy.recarray method)</a>
</li>
<li><a href="reference/generated/numpy.record.any.html#numpy.record.any">(numpy.record method)</a>
</li>
</ul></li>
<li><a href="reference/generated/numpy.append.html#numpy.append">append() (in module numpy)</a>
</li>
<li><a href="user/basics.rec.html#numpy.lib.recfunctions.append_fields">append_fields() (in module numpy.lib.recfunctions)</a>
</li>
<li><a href="reference/distutils/misc_util.html#numpy.distutils.misc_util.appendpath">appendpath() (in module numpy.distutils.misc_util)</a>
</li>
<li><a href="reference/generated/numpy.apply_along_axis.html#numpy.apply_along_axis">apply_along_axis() (in module numpy)</a>
</li>
<li><a href="user/basics.rec.html#numpy.lib.recfunctions.apply_along_fields">apply_along_fields() (in module numpy.lib.recfunctions)</a>
</li>
<li><a href="reference/generated/numpy.apply_over_axes.html#numpy.apply_over_axes">apply_over_axes() (in module numpy)</a>
</li>
<li><a href="reference/generated/numpy.arange.html#numpy.arange">arange() (in module numpy)</a>
</li>
<li><a href="reference/generated/numpy.arccos.html#numpy.arccos">arccos (in module numpy)</a>
</li>
<li><a href="reference/generated/numpy.arccosh.html#numpy.arccosh">arccosh (in module numpy)</a>
</li>
<li><a href="reference/generated/numpy.arcsin.html#numpy.arcsin">arcsin (in module numpy)</a>
</li>
<li><a href="reference/generated/numpy.arcsinh.html#numpy.arcsinh">arcsinh (in module numpy)</a>
</li>
<li><a href="reference/generated/numpy.arctan.html#numpy.arctan">arctan (in module numpy)</a>
</li>
<li><a href="reference/generated/numpy.arctan2.html#numpy.arctan2">arctan2 (in module numpy)</a>
</li>
<li><a href="reference/generated/numpy.arctanh.html#numpy.arctanh">arctanh (in module numpy)</a>
</li>
<li><a href="reference/generated/numpy.argmax.html#numpy.argmax">argmax() (in module numpy)</a>
<ul>
<li><a href="reference/generated/numpy.char.chararray.argmax.html#numpy.char.chararray.argmax">(numpy.char.chararray method)</a>
</li>
<li><a href="reference/generated/numpy.chararray.argmax.html#numpy.chararray.argmax">(numpy.chararray method)</a>
</li>
<li><a href="reference/generated/numpy.ma.masked_array.argmax.html#numpy.ma.masked_array.argmax">(numpy.ma.masked_array method)</a>
</li>
<li><a href="reference/generated/numpy.ma.MaskedArray.argmax.html#numpy.ma.MaskedArray.argmax">(numpy.ma.MaskedArray method)</a>
</li>
<li><a href="reference/generated/numpy.ma.MaskType.argmax.html#numpy.ma.MaskType.argmax">(numpy.ma.MaskType method)</a>
</li>
<li><a href="reference/generated/numpy.matrix.argmax.html#numpy.matrix.argmax">(numpy.matrix method)</a>
</li>
<li><a href="reference/generated/numpy.memmap.argmax.html#numpy.memmap.argmax">(numpy.memmap method)</a>
</li>
<li><a href="reference/generated/numpy.ndarray.argmax.html#numpy.ndarray.argmax">(numpy.ndarray method)</a>
</li>
<li><a href="reference/generated/numpy.recarray.argmax.html#numpy.recarray.argmax">(numpy.recarray method)</a>
</li>
<li><a href="reference/generated/numpy.record.argmax.html#numpy.record.argmax">(numpy.record method)</a>
</li>
</ul></li>
</ul></td>
<td style="width: 33%; vertical-align: top;"><ul>
<li><a href="reference/generated/numpy.argmin.html#numpy.argmin">argmin() (in module numpy)</a>
<ul>
<li><a href="reference/generated/numpy.char.chararray.argmin.html#numpy.char.chararray.argmin">(numpy.char.chararray method)</a>
</li>
<li><a href="reference/generated/numpy.chararray.argmin.html#numpy.chararray.argmin">(numpy.chararray method)</a>
</li>
<li><a href="reference/generated/numpy.ma.masked_array.argmin.html#numpy.ma.masked_array.argmin">(numpy.ma.masked_array method)</a>
</li>
<li><a href="reference/generated/numpy.ma.MaskedArray.argmin.html#numpy.ma.MaskedArray.argmin">(numpy.ma.MaskedArray method)</a>
</li>
<li><a href="reference/generated/numpy.ma.MaskType.argmin.html#numpy.ma.MaskType.argmin">(numpy.ma.MaskType method)</a>
</li>
<li><a href="reference/generated/numpy.matrix.argmin.html#numpy.matrix.argmin">(numpy.matrix method)</a>
</li>
<li><a href="reference/generated/numpy.memmap.argmin.html#numpy.memmap.argmin">(numpy.memmap method)</a>
</li>
<li><a href="reference/generated/numpy.ndarray.argmin.html#numpy.ndarray.argmin">(numpy.ndarray method)</a>
</li>
<li><a href="reference/generated/numpy.recarray.argmin.html#numpy.recarray.argmin">(numpy.recarray method)</a>
</li>
<li><a href="reference/generated/numpy.record.argmin.html#numpy.record.argmin">(numpy.record method)</a>
</li>
</ul></li>
<li><a href="reference/generated/numpy.argpartition.html#numpy.argpartition">argpartition() (in module numpy)</a>
<ul>
<li><a href="reference/generated/numpy.char.chararray.argpartition.html#numpy.char.chararray.argpartition">(numpy.char.chararray method)</a>
</li>
<li><a href="reference/generated/numpy.chararray.argpartition.html#numpy.chararray.argpartition">(numpy.chararray method)</a>
</li>
<li><a href="reference/generated/numpy.ma.masked_array.argpartition.html#numpy.ma.masked_array.argpartition">(numpy.ma.masked_array method)</a>
</li>
<li><a href="reference/generated/numpy.matrix.argpartition.html#numpy.matrix.argpartition">(numpy.matrix method)</a>
</li>
<li><a href="reference/generated/numpy.memmap.argpartition.html#numpy.memmap.argpartition">(numpy.memmap method)</a>
</li>
<li><a href="reference/generated/numpy.ndarray.argpartition.html#numpy.ndarray.argpartition">(numpy.ndarray method)</a>
</li>
<li><a href="reference/generated/numpy.recarray.argpartition.html#numpy.recarray.argpartition">(numpy.recarray method)</a>
</li>
</ul></li>
<li><a href="reference/generated/numpy.argsort.html#numpy.argsort">argsort() (in module numpy)</a>
<ul>
<li><a href="reference/generated/numpy.char.chararray.argsort.html#numpy.char.chararray.argsort">(numpy.char.chararray method)</a>
</li>
<li><a href="reference/generated/numpy.chararray.argsort.html#numpy.chararray.argsort">(numpy.chararray method)</a>
</li>
<li><a href="reference/generated/numpy.ma.masked_array.argsort.html#numpy.ma.masked_array.argsort">(numpy.ma.masked_array method)</a>
</li>
<li><a href="reference/generated/numpy.ma.MaskedArray.argsort.html#numpy.ma.MaskedArray.argsort">(numpy.ma.MaskedArray method)</a>
</li>
<li><a href="reference/generated/numpy.ma.MaskType.argsort.html#numpy.ma.MaskType.argsort">(numpy.ma.MaskType method)</a>
</li>
<li><a href="reference/generated/numpy.matrix.argsort.html#numpy.matrix.argsort">(numpy.matrix method)</a>
</li>
<li><a href="reference/generated/numpy.memmap.argsort.html#numpy.memmap.argsort">(numpy.memmap method)</a>
</li>
<li><a href="reference/generated/numpy.ndarray.argsort.html#numpy.ndarray.argsort">(numpy.ndarray method)</a>
</li>
<li><a href="reference/generated/numpy.recarray.argsort.html#numpy.recarray.argsort">(numpy.recarray method)</a>
</li>
<li><a href="reference/generated/numpy.record.argsort.html#numpy.record.argsort">(numpy.record method)</a>
</li>
</ul></li>
<li><a href="reference/generated/numpy.argwhere.html#numpy.argwhere">argwhere() (in module numpy)</a>
</li>
<li><a href="reference/arrays.ndarray.html#index-5">arithmetic</a>, <a href="reference/maskedarray.baseclass.html#index-0">[1]</a>
</li>
<li><a href="reference/generated/numpy.around.html#numpy.around">around() (in module numpy)</a>
</li>
<li><a href="glossary.html#term-array"><strong>array</strong></a>
<ul>
<li><a href="reference/c-api/array.html#index-0">C-API</a>
</li>
<li><a href="reference/arrays.interface.html#index-0">interface</a>
</li>
<li><a href="reference/arrays.interface.html#index-0">protocol</a>
</li>
</ul></li>
<li><a href="dev/internals.code-explanations.html#index-2">array iterator</a>, <a href="reference/arrays.classes.html#index-4">[1]</a>, <a href="user/c-info.beyond-basics.html#index-0">[2]</a>, <a href="user/c-info.beyond-basics.html#index-2">[3]</a>
</li>
<li><a href="glossary.html#term-array-scalar"><strong>array scalar</strong></a>
</li>
<li><a href="dev/internals.code-explanations.html#index-4">array scalars</a>
</li>
<li><a href="reference/generated/numpy.array.html#numpy.array">array() (in module numpy)</a>
</li>
<li><a href="reference/generated/numpy.array2string.html#numpy.array2string">array2string() (in module numpy)</a>