# SOME DESCRIPTIVE TITLE.
# Copyright (C) 1999-2020, The Alibaba Group Holding Ltd.
# This file is distributed under the same license as the mars package.
# FIRST AUTHOR <EMAIL@ADDRESS>, 2020.
#
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#: ../../source/reference/tensor/generated/mars.tensor.trapz.rst:2
msgid "mars.tensor.trapz"
msgstr ""

#: mars.tensor.trapz:1 of
msgid "Integrate along the given axis using the composite trapezoidal rule."
msgstr ""

#: mars.tensor.trapz:3 of
msgid "Integrate `y` (`x`) along given axis."
msgstr ""

#: mars.tensor.trapz of
msgid "Parameters"
msgstr ""

#: mars.tensor.trapz:5 of
msgid "Input tensor to integrate."
msgstr ""

#: mars.tensor.trapz:7 of
msgid ""
"The sample points corresponding to the `y` values. If `x` is None, the "
"sample points are assumed to be evenly spaced `dx` apart. The default is "
"None."
msgstr ""

#: mars.tensor.trapz:11 of
msgid "The spacing between sample points when `x` is None. The default is 1."
msgstr ""

#: mars.tensor.trapz:13 of
msgid "The axis along which to integrate."
msgstr ""

#: mars.tensor.trapz of
msgid "Returns"
msgstr ""

#: mars.tensor.trapz:16 of
msgid "**trapz** -- Definite integral as approximated by trapezoidal rule."
msgstr ""

#: mars.tensor.trapz of
msgid "Return type"
msgstr ""

#: mars.tensor.trapz:19 of
msgid ":func:`sum`, :func:`cumsum`"
msgstr ""

#: mars.tensor.trapz:22 of
msgid "Notes"
msgstr ""

#: mars.tensor.trapz:23 of
msgid ""
"Image [2]_ illustrates trapezoidal rule -- y-axis locations of points "
"will be taken from `y` tensor, by default x-axis distances between points"
" will be 1.0, alternatively they can be provided with `x` tensor or with "
"`dx` scalar.  Return value will be equal to combined area under the red "
"lines."
msgstr ""

#: mars.tensor.trapz:30 of
msgid "References"
msgstr ""

#: mars.tensor.trapz:31 of
msgid "Wikipedia page: https://en.wikipedia.org/wiki/Trapezoidal_rule"
msgstr ""

#: mars.tensor.trapz:33 of
msgid ""
"Illustration image: "
"https://en.wikipedia.org/wiki/File:Composite_trapezoidal_rule_illustration.png"
msgstr ""

#: mars.tensor.trapz:37 of
msgid "Examples"
msgstr ""

