Math and text

{
    "src": "https://mathpix.com/examples/text_with_math_0.jpg",
    "formats": ["text", "html"],
    "data_options": {
        "include_asciimath": true,
        "include_latex": true
    }
}

{
    "confidence": 0.9942260226265052,
    "confidence_rate": 0.9942999454546179,
    "data": [
        {
            "type": "asciimath",
            "value": "(2p-2)/(p)-:(4p-4)/(9p^(2))"
        },
        {
            "type": "latex",
            "value": "\\frac{2 p-2}{p} \\div \\frac{4 p-4}{9 p^{2}}"
        }
    ],
    "html": "<div>Perform the indicated operation and simplify.<br>\n3) <span  class=\"math-inline \" >\n<asciimath style=\"display: none;\">(2p-2)/(p)-:(4p-4)/(9p^(2))</asciimath><latex style=\"display: none\">\\frac{2 p-2}{p} \\div \\frac{4 p-4}{9 p^{2}}</latex></span></div>\n",
    "text": "Perform the indicated operation and simplify.\n3) \\( \\frac{2 p-2}{p} \\div \\frac{4 p-4}{9 p^{2}} \\)"
}

<div>
   Perform the indicated operation and simplify.<br/>
   3) 
   <span class="math-inline ">
      <asciimath style="display: none;">(2p-2)/(p)-:(4p-4)/(9p^(2))</asciimath>
      <latex style="display: none">\frac{2 p-2}{p} \div \frac{4 p-4}{9 p^{2}}</latex>
   </span>
</div>

---

{
    "src": "https://mathpix.com/examples/hw_text_0.jpg",
    "formats": ["text", "html"]
}

• Machine learning
• deep learning
• computer vision
• big data

{
    "confidence": 0.7723938592332265,
    "confidence_rate": 0.8613839302240724,
    "html": "<div>Powered by:</div>\n<ul>\n<li>Machine learning</li>\n<li>deep learning</li>\n<li>computer vision</li>\n<li>big data</li>\n</ul>\n",
    "text": "Powered by:\n- Machine learning\n- deep learning\n- computer vision\n- big data"
}

<div>
   <div>Powered by:</div>
   <ul>
      <li>Machine learning</li>
      <li>deep learning</li>
      <li>computer vision</li>
      <li>big data</li>
   </ul>
</div>

---

{
    "src": "https://mathpix.com/examples/multiple_choice_0.png",
    "formats": ["text", "data", "html"],
    "data_options": {
        "include_asciimath": true
    }
}

11. and are unimodular complex numbers that satisfy then the value of is
    (a) 10
    (b) 11
    (c) 12
    (d) 13

{
    "confidence": 0.9110662494831634,
    "confidence_rate": 0.9488863482674147,
    "data": [
        {
            "type": "asciimath",
            "value": "z_(1)"
        },
        {
            "type": "asciimath",
            "value": "z_(2)"
        },
        {
            "type": "asciimath",
            "value": "z_(1)^(2)+z_(2)^(2)=4"
        },
        {
            "type": "asciimath",
            "value": "((z_(1)+ bar(z)_(1))^(2)+(z_(2)+ bar(z)_(2))^(2))/(2)"
        }
    ],
    "html": "<ol start=\"11\">\n<li><span  class=\"math-inline \" >\n<asciimath style=\"display: none;\">z_(1)</asciimath></span> and <span  class=\"math-inline \" >\n<asciimath style=\"display: none;\">z_(2)</asciimath></span> are unimodular complex numbers that satisfy <span  class=\"math-inline \" >\n<asciimath style=\"display: none;\">z_(1)^(2)+z_(2)^(2)=4</asciimath></span> then the value of <span  class=\"math-inline \" >\n<asciimath style=\"display: none;\">((z_(1)+ bar(z)_(1))^(2)+(z_(2)+ bar(z)_(2))^(2))/(2)</asciimath></span> is<br>\n(a) 10<br>\n(b) 11<br>\n\u00a9 12<br>\n(d) 13</li>\n</ol>\n",
    "text": "11. \\( z_{1} \\) and \\( z_{2} \\) are unimodular complex numbers that satisfy \\( z_{1}^{2}+z_{2}^{2}=4 \\) then the value of \\( \\frac{\\left(z_{1}+\\bar{z}_{1}\\right)^{2}+\\left(z_{2}+\\bar{z}_{2}\\right)^{2}}{2} \\) is\n(a) 10\n(b) 11\n(c) 12\n(d) 13"
}

11. \( z_{1} \) and \( z_{2} \) are unimodular complex numbers that satisfy \( z_{1}^{2}+z_{2}^{2}=4 \) then the value of \( \frac{\left(z_{1}+\bar{z}_{1}\right)^{2}+\left(z_{2}+\bar{z}_{2}\right)^{2}}{2} \) is
(a) 10
(b) 11
(c) 12
(d) 13

<ol start="11">
   <li>
      <span class="math-inline ">
         <asciimath style="display: none;">z_(1)</asciimath>
         <latex style="display: none">z_{1}</latex>
      </span>
      and 
      <span class="math-inline ">
         <asciimath style="display: none;">z_(2)</asciimath>
         <latex style="display: none">z_{2}</latex>
      </span>
      are unimodular complex numbers that satisfy 
      <span class="math-inline ">
         <asciimath style="display: none;">z_(1)^(2)+z_(2)^(2)=4</asciimath>
         <latex style="display: none">z_{1}^{2}+z_{2}^{2}=4</latex>
      </span>
      then the value of 
      <span class="math-inline ">
         <asciimath style="display: none;">((z_(1)+ bar(z)_(1))^(2)+(z_(2)+ bar(z)_(2))^(2))/(2)</asciimath>
         <latex style="display: none">\frac{\left(z_{1}+\bar{z}_{1}\right)^{2}+\left(z_{2}+\bar{z}_{2}\right)^{2}}{2}</latex>
      </span>
      is<br/>
      (a) 10<br/>
      (b) 11<br/>
      (c) 12<br/>
      (d) 13
   </li>
</ol>

---

{
    "src": "https://mathpix.com/examples/limit.jpg",
    "formats": ["text", "data", "html"],
    "data_options": {
        "include_asciimath": true,
        "include_latex": true
    }
}

{
    "confidence": 0.9982182085336344,
    "confidence_rate": 0.9982182085336344,
    "data": [
        {
            "type": "asciimath",
            "value": "lim_(x rarr3)((x^(2)+9)/(x-3))"
        },
        {
            "type": "latex",
            "value": "\\lim _{x \\rightarrow 3}\\left(\\frac{x^{2}+9}{x-3}\\right)"
        }
    ],
    "html": "<div><span  class=\"math-inline \" >\n<asciimath style=\"display: none;\">lim_(x rarr3)((x^(2)+9)/(x-3))</asciimath><latex style=\"display: none\">\\lim _{x \\rightarrow 3}\\left(\\frac{x^{2}+9}{x-3}\\right)</latex></span></div>\n",
    "text": "\\( \\lim _{x \\rightarrow 3}\\left(\\frac{x^{2}+9}{x-3}\\right) \\)"
}

---

{
    "src": "https://mathpix.com/examples/equation_system_0.jpg",
    "formats": ["text", "data", "html"],
    "data_options": {
        "include_asciimath": true,
        "include_latex": true
    }
}

{
    "confidence": 0.9960272582188906,
    "confidence_rate": 0.9960272582188906,
    "data": [
        {
            "type": "asciimath",
            "value": "{[2x+8y=21],[6x-4y=14]:}"
        },
        {
            "type": "latex",
            "value": "\\left\\{\\begin{array}{l}2 x+8 y=21 \\\\ 6 x-4 y=14\\end{array}\\right."
        }
    ],
    "html": "<div><span  class=\"math-inline \" >\n<asciimath style=\"display: none;\">{[2x+8y=21],[6x-4y=14]:}</asciimath><latex style=\"display: none\">\\left\\{\\begin{array}{l}2 x+8 y=21 \\\\ 6 x-4 y=14\\end{array}\\right.</latex></span></div>\n",
    "text": "\\( \\left\\{\\begin{array}{l}2 x+8 y=21 \\\\ 6 x-4 y=14\\end{array}\\right. \\)"
}

<div>
   <span class="math-inline ">
      <asciimath style="display: none;">{[2x+8y=21],[6x-4y=14]:}</asciimath>
      <latex style="display: none">\left\{\begin{array}{l}2 x+8 y=21 \\ 6 x-4 y=14\end{array}\right.</latex>
   </span>
</div>

Tables

---

{
    "src": "https://mathpix.com/examples/table_simple_0.jpg",
    "formats": ["text", "data", "html"],
    "data_options": {
        "include_tsv": true,
        "include_table_html": true,
        "include_latex": true
    }
}

{
    "confidence": 0.6581662076606053,
    "confidence_rate": 0.6581662076606053,
    "data": [
        {
            "type": "html",
            "value": "<table id=\"tabular\">\n<tbody>\n<tr style=\"border-top: none !important; border-bottom: none !important;\">\n<td style=\"text-align: center; border-left-style: solid !important; border-left-width: 1px !important; border-right-style: solid !important; border-right-width: 1px !important; border-b
ottom-style: solid !important; border-bottom-width: 1px !important; border-top-style: solid !important; border-top-width: 1px !important; width: auto; vertical-align: middle; \"><span class=\"math-inline \">\n<latex style=\"display: none\">x</latex></span></td>\n<td style=\"text-align: center; border-right-style: sol
id !important; border-right-width: 1px !important; border-bottom-style: solid !important; border-bottom-width: 1px !important; border-top-style: solid !important; border-top-width: 1px !important; width: auto; vertical-align: middle; \"><span class=\"math-inline \">\n<latex style=\"display: none\">y</latex></span></td>\n</tr>\n<tr style=\"border-top: none !important; border-bottom: none !important;\">\n<td style=\"text-align: center; border-left-style: solid !important; border-left-width: 1px !important; border-right-style: solid !important; border-right-width: 1px !important; border-bottom: none !important; border-top: none !im
portant; width: auto; vertical-align: middle; \">20</td>\n<td style=\"text-align: center; border-right-style: solid !important; border-right-width: 1px !important; border-bottom: none !important; border-top: none !important; width: auto; vertical-align: middle; \">12.4</td>\n</tr>\n<tr style=\"border-top: none !impor
tant; border-bottom: none !important;\">\n<td style=\"text-align: center; border-left-style: solid !important; border-left-width: 1px !important; border-right-style: solid !important; border-right-width: 1px !important; border-bottom: none !important; border-top: none !important; width: auto; vertical-align: middle; \">30</td>\n<td style=\"text-align: center; border-right-style: solid !important; border-right-width: 1px !important; border-bottom: none !important; border-top: none !important; width: auto; vertical-align: middle; \">24.8</td>\n</tr>\n<tr style=\"border-top: none !important; border-bottom: none !important;\">\n<td
style=\"text-align: center; border-left-style: solid !important; border-left-width: 1px !important; border-right-style: solid !important; border-right-width: 1px !important; border-bottom: none !important; border-top: none !important; width: auto; vertical-align: middle; \">40</td>\n<td style=\"text-align: center; bo
rder-right-style: solid !important; border-right-width: 1px !important; border-bottom: none !important; border-top: none !important; width: auto; vertical-align: middle; \">49.6</td>\n</tr>\n<tr style=\"border-top: none !important; border-bottom: none !important;\">\n<td style=\"text-align: center; border-left-style:
 solid !important; border-left-width: 1px !important; border-right-style: solid !important; border-right-width: 1px !important; border-bottom: none !important; border-top: none !important; width: auto; vertical-align: middle; \">50</td>\n<td style=\"text-align: center; border-right-style: solid !important; border-rig
ht-width: 1px !important; border-bottom: none !important; border-top: none !important; width: auto; vertical-align: middle; \">99.2</td>\n</tr>\n<tr style=\"border-top: none !important; border-bottom: none !important;\">\n<td style=\"text-align: center; border-left-style: solid !important; border-left-width: 1px !imp
ortant; border-right-style: solid !important; border-right-width: 1px !important; border-bottom: none !important; border-top: none !important; width: auto; vertical-align: middle; \">60</td>\n<td style=\"text-align: center; border-right-style: solid !important; border-right-width: 1px !important; border-bottom: none
!important; border-top: none !important; width: auto; vertical-align: middle; \">198.4</td>\n</tr>\n<tr style=\"border-top: none !important; border-bottom: none !important;\">\n<td style=\"text-align: center; border-left-style: solid !important; border-left-width: 1px !important; border-right-style: solid !important;
 border-right-width: 1px !important; border-bottom: none !important; border-top: none !important; width: auto; vertical-align: middle; \">70</td>\n<td style=\"text-align: center; border-right-style: solid !important; border-right-width: 1px !important; border-bottom: none !important; border-top: none !important; widt
h: auto; vertical-align: middle; \">396.8</td>\n</tr>\n<tr style=\"border-top: none !important; border-bottom: none !important;\">\n<td style=\"text-align: center; border-left-style: solid !important; border-left-width: 1px !important; border-right-style: solid !important; border-right-width: 1px !important; border-b
ottom-style: solid !important; border-bottom-width: 1px !important; border-top: none !important; width: auto; vertical-align: middle; \">80</td>\n<td style=\"text-align: center; border-right-style: solid !important; border-right-width: 1px !important; border-bottom-style: solid !important; border-bottom-width: 1px !i
mportant; border-top: none !important; width: auto; vertical-align: middle; \">793.6</td>\n</tr>\n</tbody>\n</table>"
        },
        {
            "type": "tsv",
            "value": "\\( x \\)\t\\( y \\)\n20\t12.4\n30\t24.8\n40\t49.6\n50\t99.2\n60\t198.4\n70\t396.8\n80\t793.6"
        },
        {
            "type": "latex",
            "value": "x"
        },
        {
            "type": "latex",
            "value": "y"
        }
    ],
    "html": "<div class=\"table_tabular \" style=\"text-align: center\">\n<table id=\"tabular\">\n<tbody>\n<tr style=\"border-top: none !important; border-bottom: none !important;\">\n<td style=\"text-align: center; border-left-style: solid !important; border-left-width: 1px !important; border-right-style: solid !imp
ortant; border-right-width: 1px !important; border-bottom-style: solid !important; border-bottom-width: 1px !important; border-top-style: solid !important; border-top-width: 1px !important; width: auto; vertical-align: middle; \"><span  class=\"math-inline \" >\n<latex style=\"display: none\">x</latex></span></td>\n<
td style=\"text-align: center; border-right-style: solid !important; border-right-width: 1px !important; border-bottom-style: solid !important; border-bottom-width: 1px !important; border-top-style: solid !important; border-top-width: 1px !important; width: auto; vertical-align: middle; \"><span  class=\"math-inline
\" >\n<latex style=\"display: none\">y</latex></span></td>\n</tr>\n<tr style=\"border-top: none !important; border-bottom: none !important;\">\n<td style=\"text-align: center; border-left-style: solid !important; border-left-width: 1px !important; border-right-style: solid !important; border-right-width: 1px !important; border-bottom: none !important; border-top: none !important; width: auto; vertical-align: middle; \">20</td>\n<td style=\"text-align: center; border-right-style: solid !important; border-right-width: 1px !important; border-bottom: none !important; border-top: none !important; width: auto; vertical-align: middle;
\">12.4</td>\n</tr>\n<tr style=\"border-top: none !important; border-bottom: none !important;\">\n<td style=\"text-align: center; border-left-style: solid !important; border-left-width: 1px !important; border-right-style: solid !important; border-right-width: 1px !important; border-bottom: none !important; border-top
: none !important; width: auto; vertical-align: middle; \">30</td>\n<td style=\"text-align: center; border-right-style: solid !important; border-right-width: 1px !important; border-bottom: none !important; border-top: none !important; width: auto; vertical-align: middle; \">24.8</td>\n</tr>\n<tr style=\"border-top: n
one !important; border-bottom: none !important;\">\n<td style=\"text-align: center; border-left-style: solid !important; border-left-width: 1px !important; border-right-style: solid !important; border-right-width: 1px !important; border-bottom: none !important; border-top: none !important; width: auto; vertical-align
: middle; \">40</td>\n<td style=\"text-align: center; border-right-style: solid !important; border-right-width: 1px !important; border-bottom: none !important; border-top: none !important; width: auto; vertical-align: middle; \">49.6</td>\n</tr>\n<tr style=\"border-top: none !important; border-bottom: none !important
;\">\n<td style=\"text-align: center; border-left-style: solid !important; border-left-width: 1px !important; border-right-style: solid !important; border-right-width: 1px !important; border-bottom: none !important; border-top: none !important; width: auto; vertical-align: middle; \">50</td>\n<td style=\"text-align:
center; border-right-style: solid !important; border-right-width: 1px !important; border-bottom: none !important; border-top: none !important; width: auto; vertical-align: middle; \">99.2</td>\n</tr>\n<tr style=\"border-top: none !important; border-bottom: none !important;\">\n<td style=\"text-align: center; border-l
eft-style: solid !important; border-left-width: 1px !important; border-right-style: solid !important; border-right-width: 1px !important; border-bottom: none !important; border-top: none !important; width: auto; vertical-align: middle; \">60</td>\n<td style=\"text-align: center; border-right-style: solid !important;
border-right-width: 1px !important; border-bottom: none !important; border-top: none !important; width: auto; vertical-align: middle; \">198.4</td>\n</tr>\n<tr style=\"border-top: none !important; border-bottom: none !important;\">\n<td style=\"text-align: center; border-left-style: solid !important; border-left-widt
h: 1px !important; border-right-style: solid !important; border-right-width: 1px !important; border-bottom: none !important; border-top: none !important; width: auto; vertical-align: middle; \">70</td>\n<td style=\"text-align: center; border-right-style: solid !important; border-right-width: 1px !important; border-bo
ttom: none !important; border-top: none !important; width: auto; vertical-align: middle; \">396.8</td>\n</tr>\n<tr style=\"border-top: none !important; border-bottom: none !important;\">\n<td style=\"text-align: center; border-left-style: solid !important; border-left-width: 1px !important; border-right-style: solid
!important; border-right-width: 1px !important; border-bottom-style: solid !important; border-bottom-width: 1px !important; border-top: none !important; width: auto; vertical-align: middle; \">80</td>\n<td style=\"text-align: center; border-right-style: solid !important; border-right-width: 1px !important; border-bot
tom-style: solid !important; border-bottom-width: 1px !important; border-top: none !important; width: auto; vertical-align: middle; \">793.6</td>\n</tr>\n</tbody>\n</table>\n<tsv style=\"display: none\">\\( x \\)\t\\( y \\)\n20\t12.4\n30\t24.8\n40\t49.6\n50\t99.2\n60\t198.4\n70\t396.8\n80\t793.6</tsv></div>\n",
    "text": "\\begin{tabular}{|c|c|}\n\\hline\\( x \\) & \\( y \\) \\\\\n\\hline 20 & 12.4 \\\\\n30 & 24.8 \\\\\n40 & 49.6 \\\\\n50 & 99.2 \\\\\n60 & 198.4 \\\\\n70 & 396.8 \\\\\n80 & 793.6 \\\\\n\\hline\n\\end{tabular}"
}

<div class="table_tabular " style="text-align: center">
   <table id="tabular">
      <tbody>
         <tr style="border-top: none !important; border-bottom: none !important;">
            <td style="text-align: center; border-left-style: solid !important; border-left-width: 1px !important; border-right-style: solid !important; border-right-width: 1px !important; border-bottom-style: solid !important; border-bottom-width: 1px !important; border-top-style: solid !important; border-top-width: 1px !important; width: auto; vertical-align: middle; ">
               <span  class="math-inline " >
                  <latex style="display: none">x</latex>
               </span>
            </td>
            <td style="text-align: center; border-right-style: solid !important; border-right-width: 1px !important; border-bottom-style: solid !important; border-bottom-width: 1px !important; border-top-style: solid !important; border-top-width: 1px !important; width: auto; vertical-align: middle; ">
               <span  class="math-inline " >
                  <latex style="display: none">y</latex>
               </span>
            </td>
         </tr>
         <tr style="border-top: none !important; border-bottom: none !important;">
            <td style="text-align: center; border-left-style: solid !important; border-left-width: 1px !important; border-right-style: solid !important; border-right-width: 1px !important; border-bottom: none !important; border-top: none !important; width: auto; vertical-align: middle; ">20</td>
            <td style="text-align: center; border-right-style: solid !important; border-right-width: 1px !important; border-bottom: none !important; border-top: none !important; width: auto; vertical-align: middle; ">12.4</td>
         </tr>
         <tr style="border-top: none !important; border-bottom: none !important;">
            <td style="text-align: center; border-left-style: solid !important; border-left-width: 1px !important; border-right-style: solid !important; border-right-width: 1px !important; border-bottom: none !important; border-top: none !important; width: auto; vertical-align: middle; ">30</td>
            <td style="text-align: center; border-right-style: solid !important; border-right-width: 1px !important; border-bottom: none !important; border-top: none !important; width: auto; vertical-align: middle; ">24.8</td>
         </tr>
         <tr style="border-top: none !important; border-bottom: none !important;">
            <td style="text-align: center; border-left-style: solid !important; border-left-width: 1px !important; border-right-style: solid !important; border-right-width: 1px !important; border-bottom: none !important; border-top: none !important; width: auto; vertical-align: middle; ">40</td>
            <td style="text-align: center; border-right-style: solid !important; border-right-width: 1px !important; border-bottom: none !important; border-top: none !important; width: auto; vertical-align: middle; ">49.6</td>
         </tr>
         <tr style="border-top: none !important; border-bottom: none !important;">
            <td style="text-align: center; border-left-style: solid !important; border-left-width: 1px !important; border-right-style: solid !important; border-right-width: 1px !important; border-bottom: none !important; border-top: none !important; width: auto; vertical-align: middle; ">50</td>
            <td style="text-align: center; border-right-style: solid !important; border-right-width: 1px !important; border-bottom: none !important; border-top: none !important; width: auto; vertical-align: middle; ">99.2</td>
         </tr>
         <tr style="border-top: none !important; border-bottom: none !important;">
            <td style="text-align: center; border-left-style: solid !important; border-left-width: 1px !important; border-right-style: solid !important; border-right-width: 1px !important; border-bottom: none !important; border-top: none !important; width: auto; vertical-align: middle; ">60</td>
            <td style="text-align: center; border-right-style: solid !important; border-right-width: 1px !important; border-bottom: none !important; border-top: none !important; width: auto; vertical-align: middle; ">198.4</td>
         </tr>
         <tr style="border-top: none !important; border-bottom: none !important;">
            <td style="text-align: center; border-left-style: solid !important; border-left-width: 1px !important; border-right-style: solid !important; border-right-width: 1px !important; border-bottom: none !important; border-top: none !important; width: auto; vertical-align: middle; ">70</td>
            <td style="text-align: center; border-right-style: solid !important; border-right-width: 1px !important; border-bottom: none !important; border-top: none !important; width: auto; vertical-align: middle; ">396.8</td>
         </tr>
         <tr style="border-top: none !important; border-bottom: none !important;">
            <td style="text-align: center; border-left-style: solid !important; border-left-width: 1px !important; border-right-style: solid !important; border-right-width: 1px !important; border-bottom-style: solid !important; border-bottom-width: 1px !important; border-top: none !important; width: auto; vertical-align: middle; ">80</td>
            <td style="text-align: center; border-right-style: solid !important; border-right-width: 1px !important; border-bottom-style: solid !important; border-bottom-width: 1px !important; border-top: none !important; width: auto; vertical-align: middle; ">793.6</td>
         </tr>
      </tbody>
   </table>
   <tsv style="display: none">\( x \)      \( y \)
      20      12.4
      30      24.8
      40      49.6
      50      99.2
      60      198.4
      70      396.8
      80      793.6
   </tsv>
</div>

\( x \) \( y \)
20      12.4
30      24.8
40      49.6
50      99.2
60      198.4
70      396.8
80      793.6

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Line data

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