diff --git a/develop/doc/_sources/design/register_grad_op.md.txt b/develop/doc/_sources/design/register_grad_op.md.txt
index 9f1ce4bae7b393cb9f04909e5e4917b8d660771c..8d973eb53178c3e889c845144553a453e11f067c 100644
--- a/develop/doc/_sources/design/register_grad_op.md.txt
+++ b/develop/doc/_sources/design/register_grad_op.md.txt
@@ -3,17 +3,17 @@
 
 ## The Problem Posed
 
-Currently, for each C++ operator class definition, there registers a *gradient operator creator* function, which takes a C++ operator instance and returns the corresponding gradient operator instance.
+Currently, for each C++ operator class definition, a *gradient operator creator* function is registered, which takes as input a C++ operator instance and returns the corresponding gradient operator instance.
 
-However, we noticed two problems with the current deisgn:
+However, we noticed two problems with the current design:
 
-1. As we decided to separate the *compilation* and *execution* phases, we need to change the creator to take an `OpDesc` protobuf message in a `ProgramDesc` and inserts corresponding `OpDesc` messages into the `ProgramDesc` message.
+1. As we decided to separate the *compilation* and the *execution* phases, we need to change the creator to take an `OpDesc` protobuf message in a `ProgramDesc` and inserts corresponding `OpDesc` messages into the `ProgramDesc` message.
 
-1. Some operator's gradient computation requires more than one gradient operators.  For example, the gradient of *minus* consists of two operators -- an identity operaotr and a scale operator.  So we need to make the registration mechanism to support the mapping from an operator to a set of operators for gradient computation.
+1. For some operators, the gradient computation can be written in terms of existing operators.  For example, the gradient of *minus* operator consists of two operators -- an *identity* operator followed by a *scale* operator.  Hence the registration mechanism needs to support mapping from an operator to a set of operators for the gradient computation.
 
 ## The Current Implementation
 
-The C++ class `OpInfos` store in a association map which key is the operator type. The `grad_op_type` indicate associated gradient operator type. Operator can create gradient operator by `OpInfo::creator_` of gradient. The pseudo code is
+Instances of the C++ class `OpInfo` are stored an associative map whose key is the operator type. The `grad_op_type` indicates the associated gradient operator type. An operator can create the gradient operator by invoking `OpInfo::creator_` of the gradient operator. The pseudo code is as follows
 
 ```cpp
 struct OpInfo {
@@ -31,16 +31,16 @@ OperatorBase* CreateGradientOperator(const OperatorBase& op) {
 
 ## Proposed Solution
 
-The mapping relationship between an operator and its gradient operators is a function. The interface of that function is:
+The mapping relationship between an operator and its gradient operators is a function. The interface of this function is:
 
 ```cpp
 // (OpDesc) --> vector<OpDesc>
 std::function<std::vector<OpDescBind>(const OpDescBind&)>;
 ```
 
-The function takes an `OpDescBind` of the forward operator and returns one or many gradient operator descriptions. `OpDescBind` is a C++ wrapper for protobuf message `OpDesc` to manipulate `OpDesc` fast.
+The function takes an `OpDescBind` of the forward operator and returns one or many gradient operator descriptions. `OpDescBind` is a C++ wrapper for  the protobuf message `OpDesc` for rapid manipulation of `OpDesc`.
 
-The `GradOpDescMaker` will be registered in `OpInfo`, to replace `grad_op_type_` field. The `OpInfo` should be
+The `GradOpDescMaker` will be registered in `OpInfo` and will replace the `grad_op_type_` field. The `OpInfo` should look like 
 
 ```cpp
 struct OpInfo {
@@ -49,7 +49,7 @@ struct OpInfo {
 };
 ```
 
-The `grad_op_maker_ ` is `nullptr` if the operator does not have associated gradient operators.
+The `grad_op_maker_ ` is a `nullptr` if the operator does not have any associated gradient operators.
 
 We propose a base class called `GradOpDescMakerBase` to let operator developers generate `Gradient Operators` easily. The public interface of that class is
 
@@ -74,7 +74,7 @@ func = [] (const OpDescBind& fwd_op) {
 
 We can write many helper functions since the `GradOpDescMakerBase` is a class now. The basic helper functions get the variables of `Input`, `Output`, `InputGradient` and `OutputGradient` in the forwarding operator.
 
-We should chagne register macros at the same time. In the current solution, there is no difference between forwarding operators and backward operators. So `REGISTER_OP` just register one operator. If the `REGISTER_OPERATOR ` contains `OpProtoAndCheckerMaker` and `GradOpDescMaker`, we just list them in the same macro. It can be done by a macro contains `__VA_ARGS__`.
+We should change register macros at the same time. In the current solution, there is no difference between forwarding operators and backward operators. So `REGISTER_OP` just register one operator. If the `REGISTER_OPERATOR ` contains `OpProtoAndCheckerMaker` and `GradOpDescMaker`, we just list them in the same macro. It can be done by a macro contains `__VA_ARGS__`.
 
 The user interface should be
 
diff --git a/develop/doc/design/register_grad_op.html b/develop/doc/design/register_grad_op.html
index 4108949d0a013844d66c9b933e9e4fb07fa50537..419f4ac3ed26264702c4684bdfc87c15126f921f 100644
--- a/develop/doc/design/register_grad_op.html
+++ b/develop/doc/design/register_grad_op.html
@@ -185,16 +185,16 @@
 <span id="design-doc-gradient-operators-registration"></span><h1>Design Doc: Gradient Operators Registration<a class="headerlink" href="#design-doc-gradient-operators-registration" title="Permalink to this headline">¶</a></h1>
 <div class="section" id="the-problem-posed">
 <span id="the-problem-posed"></span><h2>The Problem Posed<a class="headerlink" href="#the-problem-posed" title="Permalink to this headline">¶</a></h2>
-<p>Currently, for each C++ operator class definition, there registers a <em>gradient operator creator</em> function, which takes a C++ operator instance and returns the corresponding gradient operator instance.</p>
-<p>However, we noticed two problems with the current deisgn:</p>
+<p>Currently, for each C++ operator class definition, a <em>gradient operator creator</em> function is registered, which takes as input a C++ operator instance and returns the corresponding gradient operator instance.</p>
+<p>However, we noticed two problems with the current design:</p>
 <ol class="simple">
-<li>As we decided to separate the <em>compilation</em> and <em>execution</em> phases, we need to change the creator to take an <code class="docutils literal"><span class="pre">OpDesc</span></code> protobuf message in a <code class="docutils literal"><span class="pre">ProgramDesc</span></code> and inserts corresponding <code class="docutils literal"><span class="pre">OpDesc</span></code> messages into the <code class="docutils literal"><span class="pre">ProgramDesc</span></code> message.</li>
-<li>Some operator&#8217;s gradient computation requires more than one gradient operators.  For example, the gradient of <em>minus</em> consists of two operators &#8211; an identity operaotr and a scale operator.  So we need to make the registration mechanism to support the mapping from an operator to a set of operators for gradient computation.</li>
+<li>As we decided to separate the <em>compilation</em> and the <em>execution</em> phases, we need to change the creator to take an <code class="docutils literal"><span class="pre">OpDesc</span></code> protobuf message in a <code class="docutils literal"><span class="pre">ProgramDesc</span></code> and inserts corresponding <code class="docutils literal"><span class="pre">OpDesc</span></code> messages into the <code class="docutils literal"><span class="pre">ProgramDesc</span></code> message.</li>
+<li>For some operators, the gradient computation can be written in terms of existing operators.  For example, the gradient of <em>minus</em> operator consists of two operators &#8211; an <em>identity</em> operator followed by a <em>scale</em> operator.  Hence the registration mechanism needs to support mapping from an operator to a set of operators for the gradient computation.</li>
 </ol>
 </div>
 <div class="section" id="the-current-implementation">
 <span id="the-current-implementation"></span><h2>The Current Implementation<a class="headerlink" href="#the-current-implementation" title="Permalink to this headline">¶</a></h2>
-<p>The C++ class <code class="docutils literal"><span class="pre">OpInfos</span></code> store in a association map which key is the operator type. The <code class="docutils literal"><span class="pre">grad_op_type</span></code> indicate associated gradient operator type. Operator can create gradient operator by <code class="docutils literal"><span class="pre">OpInfo::creator_</span></code> of gradient. The pseudo code is</p>
+<p>Instances of the C++ class <code class="docutils literal"><span class="pre">OpInfo</span></code> are stored an associative map whose key is the operator type. The <code class="docutils literal"><span class="pre">grad_op_type</span></code> indicates the associated gradient operator type. An operator can create the gradient operator by invoking <code class="docutils literal"><span class="pre">OpInfo::creator_</span></code> of the gradient operator. The pseudo code is as follows</p>
 <div class="highlight-cpp"><div class="highlight"><pre><span></span><span class="k">struct</span> <span class="n">OpInfo</span> <span class="p">{</span>
   <span class="n">std</span><span class="o">::</span><span class="n">function</span><span class="o">&lt;</span><span class="n">OperatorBase</span><span class="o">*</span><span class="p">(...)</span><span class="o">&gt;</span> <span class="n">creator_</span><span class="p">;</span>
   <span class="n">std</span><span class="o">::</span><span class="n">string</span> <span class="n">grad_op_type_</span><span class="p">;</span>
@@ -211,20 +211,20 @@
 </div>
 <div class="section" id="proposed-solution">
 <span id="proposed-solution"></span><h2>Proposed Solution<a class="headerlink" href="#proposed-solution" title="Permalink to this headline">¶</a></h2>
-<p>The mapping relationship between an operator and its gradient operators is a function. The interface of that function is:</p>
+<p>The mapping relationship between an operator and its gradient operators is a function. The interface of this function is:</p>
 <div class="highlight-cpp"><div class="highlight"><pre><span></span><span class="c1">// (OpDesc) --&gt; vector&lt;OpDesc&gt;</span>
 <span class="n">std</span><span class="o">::</span><span class="n">function</span><span class="o">&lt;</span><span class="n">std</span><span class="o">::</span><span class="n">vector</span><span class="o">&lt;</span><span class="n">OpDescBind</span><span class="o">&gt;</span><span class="p">(</span><span class="k">const</span> <span class="n">OpDescBind</span><span class="o">&amp;</span><span class="p">)</span><span class="o">&gt;</span><span class="p">;</span>
 </pre></div>
 </div>
-<p>The function takes an <code class="docutils literal"><span class="pre">OpDescBind</span></code> of the forward operator and returns one or many gradient operator descriptions. <code class="docutils literal"><span class="pre">OpDescBind</span></code> is a C++ wrapper for protobuf message <code class="docutils literal"><span class="pre">OpDesc</span></code> to manipulate <code class="docutils literal"><span class="pre">OpDesc</span></code> fast.</p>
-<p>The <code class="docutils literal"><span class="pre">GradOpDescMaker</span></code> will be registered in <code class="docutils literal"><span class="pre">OpInfo</span></code>, to replace <code class="docutils literal"><span class="pre">grad_op_type_</span></code> field. The <code class="docutils literal"><span class="pre">OpInfo</span></code> should be</p>
+<p>The function takes an <code class="docutils literal"><span class="pre">OpDescBind</span></code> of the forward operator and returns one or many gradient operator descriptions. <code class="docutils literal"><span class="pre">OpDescBind</span></code> is a C++ wrapper for  the protobuf message <code class="docutils literal"><span class="pre">OpDesc</span></code> for rapid manipulation of <code class="docutils literal"><span class="pre">OpDesc</span></code>.</p>
+<p>The <code class="docutils literal"><span class="pre">GradOpDescMaker</span></code> will be registered in <code class="docutils literal"><span class="pre">OpInfo</span></code> and will replace the <code class="docutils literal"><span class="pre">grad_op_type_</span></code> field. The <code class="docutils literal"><span class="pre">OpInfo</span></code> should look like</p>
 <div class="highlight-cpp"><div class="highlight"><pre><span></span><span class="k">struct</span> <span class="n">OpInfo</span> <span class="p">{</span>
   <span class="n">std</span><span class="o">::</span><span class="n">function</span><span class="o">&lt;</span><span class="n">std</span><span class="o">::</span><span class="n">vector</span><span class="o">&lt;</span><span class="n">std</span><span class="o">::</span><span class="n">unique_ptr</span><span class="o">&lt;</span><span class="n">OpDescBind</span><span class="o">&gt;&gt;</span><span class="p">(</span><span class="k">const</span> <span class="n">OpDescBind</span><span class="o">&amp;</span><span class="p">)</span><span class="o">&gt;</span>  <span class="n">grad_op_maker_</span><span class="p">;</span>
   <span class="p">...</span>
 <span class="p">};</span>
 </pre></div>
 </div>
-<p>The <code class="docutils literal"><span class="pre">grad_op_maker_</span></code> is <code class="docutils literal"><span class="pre">nullptr</span></code> if the operator does not have associated gradient operators.</p>
+<p>The <code class="docutils literal"><span class="pre">grad_op_maker_</span></code> is a <code class="docutils literal"><span class="pre">nullptr</span></code> if the operator does not have any associated gradient operators.</p>
 <p>We propose a base class called <code class="docutils literal"><span class="pre">GradOpDescMakerBase</span></code> to let operator developers generate <code class="docutils literal"><span class="pre">Gradient</span> <span class="pre">Operators</span></code> easily. The public interface of that class is</p>
 <div class="highlight-cpp"><div class="highlight"><pre><span></span><span class="k">class</span> <span class="nc">GradOpDescMakerBase</span> <span class="p">{</span>
 <span class="k">public</span><span class="o">:</span>
@@ -243,7 +243,7 @@
 </pre></div>
 </div>
 <p>We can write many helper functions since the <code class="docutils literal"><span class="pre">GradOpDescMakerBase</span></code> is a class now. The basic helper functions get the variables of <code class="docutils literal"><span class="pre">Input</span></code>, <code class="docutils literal"><span class="pre">Output</span></code>, <code class="docutils literal"><span class="pre">InputGradient</span></code> and <code class="docutils literal"><span class="pre">OutputGradient</span></code> in the forwarding operator.</p>
-<p>We should chagne register macros at the same time. In the current solution, there is no difference between forwarding operators and backward operators. So <code class="docutils literal"><span class="pre">REGISTER_OP</span></code> just register one operator. If the <code class="docutils literal"><span class="pre">REGISTER_OPERATOR</span></code> contains <code class="docutils literal"><span class="pre">OpProtoAndCheckerMaker</span></code> and <code class="docutils literal"><span class="pre">GradOpDescMaker</span></code>, we just list them in the same macro. It can be done by a macro contains <code class="docutils literal"><span class="pre">__VA_ARGS__</span></code>.</p>
+<p>We should change register macros at the same time. In the current solution, there is no difference between forwarding operators and backward operators. So <code class="docutils literal"><span class="pre">REGISTER_OP</span></code> just register one operator. If the <code class="docutils literal"><span class="pre">REGISTER_OPERATOR</span></code> contains <code class="docutils literal"><span class="pre">OpProtoAndCheckerMaker</span></code> and <code class="docutils literal"><span class="pre">GradOpDescMaker</span></code>, we just list them in the same macro. It can be done by a macro contains <code class="docutils literal"><span class="pre">__VA_ARGS__</span></code>.</p>
 <p>The user interface should be</p>
 <div class="highlight-cpp"><div class="highlight"><pre><span></span><span class="n">vector</span><span class="o">&lt;</span><span class="n">OpDesc</span><span class="o">&gt;</span> <span class="n">MinusOpGradMaker</span><span class="p">(</span><span class="n">OpDesc</span><span class="p">)</span> <span class="p">{...}</span>
 <span class="n">REGISTER_OPERATOR</span><span class="p">(</span><span class="n">minus</span><span class="p">,</span> <span class="n">MinusOp</span><span class="p">,</span> <span class="n">MinusOpProtoAndCheckerMaker</span><span class="p">,</span> <span class="n">SumOpGradMaker</span><span class="p">);</span>
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index e8c80968b5514f3995805b337a3a44bb24130e87..f4fe3c4539afed81f4b56f598d7c0e33a84e14d8 100644
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+++ b/develop/doc/searchindex.js
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\ No newline at end of file
diff --git a/develop/doc_cn/_sources/design/register_grad_op.md.txt b/develop/doc_cn/_sources/design/register_grad_op.md.txt
index 9f1ce4bae7b393cb9f04909e5e4917b8d660771c..8d973eb53178c3e889c845144553a453e11f067c 100644
--- a/develop/doc_cn/_sources/design/register_grad_op.md.txt
+++ b/develop/doc_cn/_sources/design/register_grad_op.md.txt
@@ -3,17 +3,17 @@
 
 ## The Problem Posed
 
-Currently, for each C++ operator class definition, there registers a *gradient operator creator* function, which takes a C++ operator instance and returns the corresponding gradient operator instance.
+Currently, for each C++ operator class definition, a *gradient operator creator* function is registered, which takes as input a C++ operator instance and returns the corresponding gradient operator instance.
 
-However, we noticed two problems with the current deisgn:
+However, we noticed two problems with the current design:
 
-1. As we decided to separate the *compilation* and *execution* phases, we need to change the creator to take an `OpDesc` protobuf message in a `ProgramDesc` and inserts corresponding `OpDesc` messages into the `ProgramDesc` message.
+1. As we decided to separate the *compilation* and the *execution* phases, we need to change the creator to take an `OpDesc` protobuf message in a `ProgramDesc` and inserts corresponding `OpDesc` messages into the `ProgramDesc` message.
 
-1. Some operator's gradient computation requires more than one gradient operators.  For example, the gradient of *minus* consists of two operators -- an identity operaotr and a scale operator.  So we need to make the registration mechanism to support the mapping from an operator to a set of operators for gradient computation.
+1. For some operators, the gradient computation can be written in terms of existing operators.  For example, the gradient of *minus* operator consists of two operators -- an *identity* operator followed by a *scale* operator.  Hence the registration mechanism needs to support mapping from an operator to a set of operators for the gradient computation.
 
 ## The Current Implementation
 
-The C++ class `OpInfos` store in a association map which key is the operator type. The `grad_op_type` indicate associated gradient operator type. Operator can create gradient operator by `OpInfo::creator_` of gradient. The pseudo code is
+Instances of the C++ class `OpInfo` are stored an associative map whose key is the operator type. The `grad_op_type` indicates the associated gradient operator type. An operator can create the gradient operator by invoking `OpInfo::creator_` of the gradient operator. The pseudo code is as follows
 
 ```cpp
 struct OpInfo {
@@ -31,16 +31,16 @@ OperatorBase* CreateGradientOperator(const OperatorBase& op) {
 
 ## Proposed Solution
 
-The mapping relationship between an operator and its gradient operators is a function. The interface of that function is:
+The mapping relationship between an operator and its gradient operators is a function. The interface of this function is:
 
 ```cpp
 // (OpDesc) --> vector<OpDesc>
 std::function<std::vector<OpDescBind>(const OpDescBind&)>;
 ```
 
-The function takes an `OpDescBind` of the forward operator and returns one or many gradient operator descriptions. `OpDescBind` is a C++ wrapper for protobuf message `OpDesc` to manipulate `OpDesc` fast.
+The function takes an `OpDescBind` of the forward operator and returns one or many gradient operator descriptions. `OpDescBind` is a C++ wrapper for  the protobuf message `OpDesc` for rapid manipulation of `OpDesc`.
 
-The `GradOpDescMaker` will be registered in `OpInfo`, to replace `grad_op_type_` field. The `OpInfo` should be
+The `GradOpDescMaker` will be registered in `OpInfo` and will replace the `grad_op_type_` field. The `OpInfo` should look like 
 
 ```cpp
 struct OpInfo {
@@ -49,7 +49,7 @@ struct OpInfo {
 };
 ```
 
-The `grad_op_maker_ ` is `nullptr` if the operator does not have associated gradient operators.
+The `grad_op_maker_ ` is a `nullptr` if the operator does not have any associated gradient operators.
 
 We propose a base class called `GradOpDescMakerBase` to let operator developers generate `Gradient Operators` easily. The public interface of that class is
 
@@ -74,7 +74,7 @@ func = [] (const OpDescBind& fwd_op) {
 
 We can write many helper functions since the `GradOpDescMakerBase` is a class now. The basic helper functions get the variables of `Input`, `Output`, `InputGradient` and `OutputGradient` in the forwarding operator.
 
-We should chagne register macros at the same time. In the current solution, there is no difference between forwarding operators and backward operators. So `REGISTER_OP` just register one operator. If the `REGISTER_OPERATOR ` contains `OpProtoAndCheckerMaker` and `GradOpDescMaker`, we just list them in the same macro. It can be done by a macro contains `__VA_ARGS__`.
+We should change register macros at the same time. In the current solution, there is no difference between forwarding operators and backward operators. So `REGISTER_OP` just register one operator. If the `REGISTER_OPERATOR ` contains `OpProtoAndCheckerMaker` and `GradOpDescMaker`, we just list them in the same macro. It can be done by a macro contains `__VA_ARGS__`.
 
 The user interface should be
 
diff --git a/develop/doc_cn/design/register_grad_op.html b/develop/doc_cn/design/register_grad_op.html
index fe5d2166077fdac78bb6eb52dce27dd148c2fee4..bdb63013c5b401c40516a2870db344990078deb8 100644
--- a/develop/doc_cn/design/register_grad_op.html
+++ b/develop/doc_cn/design/register_grad_op.html
@@ -199,16 +199,16 @@
 <span id="design-doc-gradient-operators-registration"></span><h1>Design Doc: Gradient Operators Registration<a class="headerlink" href="#design-doc-gradient-operators-registration" title="永久链接至标题">¶</a></h1>
 <div class="section" id="the-problem-posed">
 <span id="the-problem-posed"></span><h2>The Problem Posed<a class="headerlink" href="#the-problem-posed" title="永久链接至标题">¶</a></h2>
-<p>Currently, for each C++ operator class definition, there registers a <em>gradient operator creator</em> function, which takes a C++ operator instance and returns the corresponding gradient operator instance.</p>
-<p>However, we noticed two problems with the current deisgn:</p>
+<p>Currently, for each C++ operator class definition, a <em>gradient operator creator</em> function is registered, which takes as input a C++ operator instance and returns the corresponding gradient operator instance.</p>
+<p>However, we noticed two problems with the current design:</p>
 <ol class="simple">
-<li>As we decided to separate the <em>compilation</em> and <em>execution</em> phases, we need to change the creator to take an <code class="docutils literal"><span class="pre">OpDesc</span></code> protobuf message in a <code class="docutils literal"><span class="pre">ProgramDesc</span></code> and inserts corresponding <code class="docutils literal"><span class="pre">OpDesc</span></code> messages into the <code class="docutils literal"><span class="pre">ProgramDesc</span></code> message.</li>
-<li>Some operator&#8217;s gradient computation requires more than one gradient operators.  For example, the gradient of <em>minus</em> consists of two operators &#8211; an identity operaotr and a scale operator.  So we need to make the registration mechanism to support the mapping from an operator to a set of operators for gradient computation.</li>
+<li>As we decided to separate the <em>compilation</em> and the <em>execution</em> phases, we need to change the creator to take an <code class="docutils literal"><span class="pre">OpDesc</span></code> protobuf message in a <code class="docutils literal"><span class="pre">ProgramDesc</span></code> and inserts corresponding <code class="docutils literal"><span class="pre">OpDesc</span></code> messages into the <code class="docutils literal"><span class="pre">ProgramDesc</span></code> message.</li>
+<li>For some operators, the gradient computation can be written in terms of existing operators.  For example, the gradient of <em>minus</em> operator consists of two operators &#8211; an <em>identity</em> operator followed by a <em>scale</em> operator.  Hence the registration mechanism needs to support mapping from an operator to a set of operators for the gradient computation.</li>
 </ol>
 </div>
 <div class="section" id="the-current-implementation">
 <span id="the-current-implementation"></span><h2>The Current Implementation<a class="headerlink" href="#the-current-implementation" title="永久链接至标题">¶</a></h2>
-<p>The C++ class <code class="docutils literal"><span class="pre">OpInfos</span></code> store in a association map which key is the operator type. The <code class="docutils literal"><span class="pre">grad_op_type</span></code> indicate associated gradient operator type. Operator can create gradient operator by <code class="docutils literal"><span class="pre">OpInfo::creator_</span></code> of gradient. The pseudo code is</p>
+<p>Instances of the C++ class <code class="docutils literal"><span class="pre">OpInfo</span></code> are stored an associative map whose key is the operator type. The <code class="docutils literal"><span class="pre">grad_op_type</span></code> indicates the associated gradient operator type. An operator can create the gradient operator by invoking <code class="docutils literal"><span class="pre">OpInfo::creator_</span></code> of the gradient operator. The pseudo code is as follows</p>
 <div class="highlight-cpp"><div class="highlight"><pre><span></span><span class="k">struct</span> <span class="n">OpInfo</span> <span class="p">{</span>
   <span class="n">std</span><span class="o">::</span><span class="n">function</span><span class="o">&lt;</span><span class="n">OperatorBase</span><span class="o">*</span><span class="p">(...)</span><span class="o">&gt;</span> <span class="n">creator_</span><span class="p">;</span>
   <span class="n">std</span><span class="o">::</span><span class="n">string</span> <span class="n">grad_op_type_</span><span class="p">;</span>
@@ -225,20 +225,20 @@
 </div>
 <div class="section" id="proposed-solution">
 <span id="proposed-solution"></span><h2>Proposed Solution<a class="headerlink" href="#proposed-solution" title="永久链接至标题">¶</a></h2>
-<p>The mapping relationship between an operator and its gradient operators is a function. The interface of that function is:</p>
+<p>The mapping relationship between an operator and its gradient operators is a function. The interface of this function is:</p>
 <div class="highlight-cpp"><div class="highlight"><pre><span></span><span class="c1">// (OpDesc) --&gt; vector&lt;OpDesc&gt;</span>
 <span class="n">std</span><span class="o">::</span><span class="n">function</span><span class="o">&lt;</span><span class="n">std</span><span class="o">::</span><span class="n">vector</span><span class="o">&lt;</span><span class="n">OpDescBind</span><span class="o">&gt;</span><span class="p">(</span><span class="k">const</span> <span class="n">OpDescBind</span><span class="o">&amp;</span><span class="p">)</span><span class="o">&gt;</span><span class="p">;</span>
 </pre></div>
 </div>
-<p>The function takes an <code class="docutils literal"><span class="pre">OpDescBind</span></code> of the forward operator and returns one or many gradient operator descriptions. <code class="docutils literal"><span class="pre">OpDescBind</span></code> is a C++ wrapper for protobuf message <code class="docutils literal"><span class="pre">OpDesc</span></code> to manipulate <code class="docutils literal"><span class="pre">OpDesc</span></code> fast.</p>
-<p>The <code class="docutils literal"><span class="pre">GradOpDescMaker</span></code> will be registered in <code class="docutils literal"><span class="pre">OpInfo</span></code>, to replace <code class="docutils literal"><span class="pre">grad_op_type_</span></code> field. The <code class="docutils literal"><span class="pre">OpInfo</span></code> should be</p>
+<p>The function takes an <code class="docutils literal"><span class="pre">OpDescBind</span></code> of the forward operator and returns one or many gradient operator descriptions. <code class="docutils literal"><span class="pre">OpDescBind</span></code> is a C++ wrapper for  the protobuf message <code class="docutils literal"><span class="pre">OpDesc</span></code> for rapid manipulation of <code class="docutils literal"><span class="pre">OpDesc</span></code>.</p>
+<p>The <code class="docutils literal"><span class="pre">GradOpDescMaker</span></code> will be registered in <code class="docutils literal"><span class="pre">OpInfo</span></code> and will replace the <code class="docutils literal"><span class="pre">grad_op_type_</span></code> field. The <code class="docutils literal"><span class="pre">OpInfo</span></code> should look like</p>
 <div class="highlight-cpp"><div class="highlight"><pre><span></span><span class="k">struct</span> <span class="n">OpInfo</span> <span class="p">{</span>
   <span class="n">std</span><span class="o">::</span><span class="n">function</span><span class="o">&lt;</span><span class="n">std</span><span class="o">::</span><span class="n">vector</span><span class="o">&lt;</span><span class="n">std</span><span class="o">::</span><span class="n">unique_ptr</span><span class="o">&lt;</span><span class="n">OpDescBind</span><span class="o">&gt;&gt;</span><span class="p">(</span><span class="k">const</span> <span class="n">OpDescBind</span><span class="o">&amp;</span><span class="p">)</span><span class="o">&gt;</span>  <span class="n">grad_op_maker_</span><span class="p">;</span>
   <span class="p">...</span>
 <span class="p">};</span>
 </pre></div>
 </div>
-<p>The <code class="docutils literal"><span class="pre">grad_op_maker_</span></code> is <code class="docutils literal"><span class="pre">nullptr</span></code> if the operator does not have associated gradient operators.</p>
+<p>The <code class="docutils literal"><span class="pre">grad_op_maker_</span></code> is a <code class="docutils literal"><span class="pre">nullptr</span></code> if the operator does not have any associated gradient operators.</p>
 <p>We propose a base class called <code class="docutils literal"><span class="pre">GradOpDescMakerBase</span></code> to let operator developers generate <code class="docutils literal"><span class="pre">Gradient</span> <span class="pre">Operators</span></code> easily. The public interface of that class is</p>
 <div class="highlight-cpp"><div class="highlight"><pre><span></span><span class="k">class</span> <span class="nc">GradOpDescMakerBase</span> <span class="p">{</span>
 <span class="k">public</span><span class="o">:</span>
@@ -257,7 +257,7 @@
 </pre></div>
 </div>
 <p>We can write many helper functions since the <code class="docutils literal"><span class="pre">GradOpDescMakerBase</span></code> is a class now. The basic helper functions get the variables of <code class="docutils literal"><span class="pre">Input</span></code>, <code class="docutils literal"><span class="pre">Output</span></code>, <code class="docutils literal"><span class="pre">InputGradient</span></code> and <code class="docutils literal"><span class="pre">OutputGradient</span></code> in the forwarding operator.</p>
-<p>We should chagne register macros at the same time. In the current solution, there is no difference between forwarding operators and backward operators. So <code class="docutils literal"><span class="pre">REGISTER_OP</span></code> just register one operator. If the <code class="docutils literal"><span class="pre">REGISTER_OPERATOR</span></code> contains <code class="docutils literal"><span class="pre">OpProtoAndCheckerMaker</span></code> and <code class="docutils literal"><span class="pre">GradOpDescMaker</span></code>, we just list them in the same macro. It can be done by a macro contains <code class="docutils literal"><span class="pre">__VA_ARGS__</span></code>.</p>
+<p>We should change register macros at the same time. In the current solution, there is no difference between forwarding operators and backward operators. So <code class="docutils literal"><span class="pre">REGISTER_OP</span></code> just register one operator. If the <code class="docutils literal"><span class="pre">REGISTER_OPERATOR</span></code> contains <code class="docutils literal"><span class="pre">OpProtoAndCheckerMaker</span></code> and <code class="docutils literal"><span class="pre">GradOpDescMaker</span></code>, we just list them in the same macro. It can be done by a macro contains <code class="docutils literal"><span class="pre">__VA_ARGS__</span></code>.</p>
 <p>The user interface should be</p>
 <div class="highlight-cpp"><div class="highlight"><pre><span></span><span class="n">vector</span><span class="o">&lt;</span><span class="n">OpDesc</span><span class="o">&gt;</span> <span class="n">MinusOpGradMaker</span><span class="p">(</span><span class="n">OpDesc</span><span class="p">)</span> <span class="p">{...}</span>
 <span class="n">REGISTER_OPERATOR</span><span class="p">(</span><span class="n">minus</span><span class="p">,</span> <span class="n">MinusOp</span><span class="p">,</span> <span class="n">MinusOpProtoAndCheckerMaker</span><span class="p">,</span> <span class="n">SumOpGradMaker</span><span class="p">);</span>
diff --git a/develop/doc_cn/searchindex.js b/develop/doc_cn/searchindex.js
index 52ad53d4175915fdceb1212983aec40d46b5e7c6..01d42957bf56c36de422d0cf8606c30c4eea8a2f 100644
--- a/develop/doc_cn/searchindex.js
+++ b/develop/doc_cn/searchindex.js
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