[注意：输出使用 mathpix-markdown-it] 渲染

数学和文本

请求

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

请求图像

rendered(response.text)

执行指示的操作并简化。
3)

\frac{2 p - 2}{p} \div \frac{4 p - 4}{9 p^{2}}

{
    "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}} \\)"
}

response.html

<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>

整页的数学和文本

请求

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

请求图片

rendered(response.text)

昆虫种群假设以百万计的昆虫种群由以下公式建模

f (x) = \frac{10 x + 1}{x + 1},

where

x \geq 0

is in months.
(a) Graph

f

in the window

[0, 14]

[0, 14]

. Find the equation of the horizontal asymptote.
(b) Determine the initial insect population.
© What happens to the population after several months?
(d) Interpret the horizontal asymptote.

鱼类种群假设某物种的千条鱼类种群模型为

f (x) = \frac{x + 10}{0.5 x^{2} + 1},

where

x \geq 0

is in years.
(a) Graph

f

in the window

[0, 12]

[0, 12]

. What is the equation of the horizontal asymptote?
(b) Determine the initial population.
© What happens to the population after many years?
(d) Interpret the horizontal asymptote.

{
    "auto_rotate_confidence": 5.960460924825384e-07,
    "auto_rotate_degrees": 0,
    "confidence": 0.9661174833308905,
    "confidence_rate": 0.9974907773474996,
    "html": "<ol start=\"73\">\n<li>Insect Population Suppose that an insect population in millions is modeled by</li>\n</ol>\n<div><span class=\"math-block \"></span></div>\n<div>where <span class=\"math-inline \"></span> is in months.<br>\n(a) Graph <span class=\"math-inline \"></span> in the window <span class=\"math-inline \"></span> by <span class=\"math-inline \"></span>. Find the equation of the horizontal asymptote.<br>\n(b) Determine the initial insect population.<br>\n(c) What happens to the population after several months?<br>\n(d) Interpret the horizontal asymptote.<br>\n74. Fish Population Suppose that the population of a species of fish in thousands is modeled by</div>\n<div><span class=\"math-block \"></span></div>\n<div>where <span class=\"math-inline \"></span> is in years.<br>\n(a) Graph <span class=\"math-inline \"></span> in the window <span class=\"math-inline \"></span> by <span class=\"math-inline \"></span>. What is the equation of the horizontal asymptote?<br>\n(b) Determine the initial population.<br>\n(c) What happens to the population after many years?<br>\n(d) Interpret the horizontal asymptote.</div>\n",
    "is_handwritten": false,
    "is_printed": true,
    "request_id": "2022_08_18_f696c599184c2e9ca986g",
    "text": "73. Insect Population Suppose that an insect population in millions is modeled by\n\\[\nf(x)=\\frac{10 x+1}{x+1},\n\\]\nwhere \\( x \\geq 0 \\) is in months.\n(a) Graph \\( f \\) in the window \\( [0,14] \\) by \\( [0,14] \\). Find the equation of the horizontal asymptote.\n(b) Determine the initial insect population.\n(c) What happens to the population after several months?\n(d) Interpret the horizontal asymptote.\n74. Fish Population Suppose that the population of a species of fish in thousands is modeled by\n\\[\nf(x)=\\frac{x+10}{0.5 x^{2}+1},\n\\]\nwhere \\( x \\geq 0 \\) is in years.\n(a) Graph \\( f \\) in the window \\( [0,12] \\) by \\( [0,12] \\). What is the equation of the horizontal asymptote?\n(b) Determine the initial population.\n(c) What happens to the population after many years?\n(d) Interpret the horizontal asymptote.",
    "version": "RSK-M102"
}

手写文本

请求

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

请求图片

rendered(response.text)

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"
}

response.html

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

带拼写检查的手写文本

拼写检查可以对手写内容的准确性产生很大影响。请参阅此处的示例，其中显示了未使用拼写检查和使用拼写检查的输出。

请求图片

request without spellcheck

{
    "src": "https://mathpix-ocr-examples.s3.amazonaws.com/hw_correction_0.jpg",
}

request with spellcheck

{
    "src": "https://mathpix-ocr-examples.s3.amazonaws.com/hw_correction_0.jpg",
    "enable_spell_check": true
}

rendered(response.text) without spellcheck

Dolution:
Ans 24). In developing a chart to flot a course of action, with many of the events or milestones, we will we Process deciscon pirogram chart.
so, optison (A) is cossect ansuver.

rendered(response.text) with spellcheck

Solution:
Ans 24). In developing a chart to plot a course of action, with many of the events or milestones, we will we Process decision program chart.
so, option (A) is correct answer.

Advanced math fonts

We support: \mathscr, \mathcal, \mathfrak, \mathbb, \boldsymbol, \mathrm

请求

{
    "src": "https://mathpix.com/examples/math_fonts_0.jpg",
    "formats": ["text", "html", "data"],
    "data_options": {
        "include_mathml": true,
        "include_asciimath": true,
    }
}

请求图片

rendered(response.text)

min_{h \in H} E_{(x, y)} [I [P [h (x + δ) \neq y] > ρ]]

{
    "auto_rotate_confidence": 2.0265538154262686e-06,
    "auto_rotate_degrees": 0,
    "confidence": 1,
    "confidence_rate": 1,
    "data": [
        {
            "type": "mathml",
            "value": "<math xmlns=\"http://www.w3.org/1998/Math/MathML\">\n  <munder>\n    <mo data-mjx-texclass=\"OP\" movablelimits=\"true\">min</mo>\n    <mrow>\n      <mi>h</mi>\n      <mo>\u2208</mo>\n      <mrow>\n        <mi data-mjx-variant=\"-tex-calligraphic\" mathvariant=\"script\">H</mi>\n      </mrow>\n    </mrow>\n  </munder>\n  <msub>\n    <mrow>\n      <mi mathvariant=\"double-struck\">E</mi>\n    </mrow>\n    <mrow>\n      <mo stretchy=\"false\">(</mo>\n      <mi>x</mi>\n      <mo>,</mo>\n      <mi>y</mi>\n      <mo stretchy=\"false\">)</mo>\n    </mrow>\n  </msub>\n  <mo stretchy=\"false\">[</mo>\n  <mrow>\n    <mi mathvariant=\"double-struck\">I</mi>\n  </mrow>\n  <mo stretchy=\"false\">[</mo>\n  <mrow>\n    <mi mathvariant=\"double-struck\">P</mi>\n  </mrow>\n  <mo stretchy=\"false\">[</mo>\n  <mrow>\n    <mi mathvariant=\"fraktur\">h</mi>\n  </mrow>\n  <mo stretchy=\"false\">(</mo>\n  <mi>x</mi>\n  <mo>+</mo>\n  <mi>\u03b4</mi>\n  <mo stretchy=\"false\">)</mo>\n  <mo>\u2260</mo>\n  <mi>y</mi>\n  <mo stretchy=\"false\">]</mo>\n  <mo>&gt;</mo>\n  <mi>\u03c1</mi>\n  <mo stretchy=\"false\">]</mo>\n  <mo stretchy=\"false\">]</mo>\n</math>"
        },
        {
            "type": "asciimath",
            "value": "min_(h inH)E_((x,y))[I[P[h(x+delta)!=y] > rho]]"
        }
    ],
    "html": "<div><span class=\"math-inline \"><mathml style=\"display: none\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\">\n  <munder>\n    <mo data-mjx-texclass=\"OP\" movablelimits=\"true\">min</mo>\n    <mrow>\n      <mi>h</mi>\n      <mo>&#x2208;</mo>\n      <mrow>\n        <mi data-mjx-variant=\"-tex-calligraphic\" mathvariant=\"script\">H</mi>\n      </mrow>\n    </mrow>\n  </munder>\n  <msub>\n    <mrow>\n      <mi mathvariant=\"double-struck\">E</mi>\n    </mrow>\n    <mrow>\n      <mo stretchy=\"false\">(</mo>\n      <mi>x</mi>\n      <mo>,</mo>\n      <mi>y</mi>\n      <mo stretchy=\"false\">)</mo>\n    </mrow>\n  </msub>\n  <mo stretchy=\"false\">[</mo>\n  <mrow>\n    <mi mathvariant=\"double-struck\">I</mi>\n  </mrow>\n  <mo stretchy=\"false\">[</mo>\n  <mrow>\n    <mi mathvariant=\"double-struck\">P</mi>\n  </mrow>\n  <mo stretchy=\"false\">[</mo>\n  <mrow>\n    <mi mathvariant=\"fraktur\">h</mi>\n  </mrow>\n  <mo stretchy=\"false\">(</mo>\n  <mi>x</mi>\n  <mo>+</mo>\n  <mi>&#x3B4;</mi>\n  <mo stretchy=\"false\">)</mo>\n  <mo>&#x2260;</mo>\n  <mi>y</mi>\n  <mo stretchy=\"false\">]</mo>\n  <mo>&gt;</mo>\n  <mi>&#x3C1;</mi>\n  <mo stretchy=\"false\">]</mo>\n  <mo stretchy=\"false\">]</mo>\n</math></mathml><asciimath style=\"display: none;\">min_(h inH)E_((x,y))[I[P[h(x+delta)!=y] &gt; rho]]</asciimath></span></div>\n",
    "is_handwritten": false,
    "is_printed": true,
    "request_id": "2022_08_18_fb4bd52cff1c80f9f09fg",
    "text": "\\( \\min _{h \\in \\mathcal{H}} \\mathbb{E}_{(x, y)}[\\mathbb{I}[\\mathbb{P}[\\mathfrak{h}(x+\\delta) \\neq y]>\\rho]] \\)",
    "version": "RSK-M102"
}

Multiple choice question

请求

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

请求图片

rendered(response.text)

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

response.json

{
    "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"
}

response.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
(a) 10
(b) 11
(c) 12
(d) 13

response.html

<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>

Standalone equation

请求

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

请求图片

rendered(response.text)

lim_{x \to 3} (\frac{x^{2} + 9}{x - 3})

{
    "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) \\)"
}

块模式数学

块模式数学与文本混合时使用 \[ ... \] 分隔符表示。

请求

{
    "src": "https://mathpix.com/examples/block_math_0.jpg",
}

请求图片

rendered(response.text)

我们首先验证

X = I_{A}

（指示函数）的结果，其中

A \in G .

在这种情况下

\begin{aligned} \int_{B} I_{A} E (Y ∣ G) d P & = \int_{A \cap B} E (Y ∣ G) d P \\ = \int_{A \cap B} Y d P \\ = \int_{B} I_{A} Y d P \end{aligned}

{
    "request_id": "595ec0b9deda512b4d4582a86a040d14",
    "is_printed": true,
    "is_handwritten": false,
    "auto_rotate_confidence": 0.0004953074438702743,
    "auto_rotate_degrees": 0,
    "confidence": 0.5302130355194095,
    "confidence_rate": 0.7655196701192286,
    "text": "We first verify the result for \\( X=\\mathbb{I}_{A} \\) (indicator function) where \\( A \\in \\mathscr{G} . \\) In this case\n\\[\n\\begin{aligned}\n\\int_{B} \\mathbb{I}_{A} E(Y \\mid \\mathscr{G}) d \\mathbb{P} &=\\int_{A \\cap B} E(Y \\mid \\mathscr{G}) d \\mathbb{P} \\\\\n&=\\int_{A \\cap B} Y d \\mathbb{P} \\\\\n&=\\int_{B} \\mathbb{I}_{A} Y d \\mathbb{P}\n\\end{aligned}\n\\]"
}

长除法

在 LaTeX 中，我们使用特殊的 \longdiv 字符表示长除法。这是我们发出的唯一非标准 LaTeX 字符。请注意，我们将长除法转换为 asciimath 的普通除法，这是一种以计算为中心的数学语言，而 LaTeX 更注重视觉效果。

我们使用以下 MathJax 宏在 Mathpix Markdown 中呈现 \longdiv：\overline{\smash{)}#1}。您可以通过在序言中添加 \newcommand\longdiv[1]{\overline{\smash{)}#1}} 在 PdfLaTeX 中呈现它。

请求

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

请求图片

rendered(response.text)

572987

{
    "auto_rotate_confidence": 0,
    "auto_rotate_degrees": 0,
    "confidence": 1,
    "confidence_rate": 1,
    "is_handwritten": true,
    "is_printed": false,
    "request_id": "2022_08_18_e4b5c809bf47b46d4f59g",
    "text": "\\( 5 7 \\longdiv { 2 9 8 7 } \\)",
    "version": "RSK-M101"
}

方程组

请求

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

请求图片

rendered(response.text)

{\begin{cases} 2 x + 8 y = 21 \\ 6 x - 4 y = 14 \end{cases}

{
    "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. \\)"
}

response.html

<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>

Digital ink (math)

请求

POST v3/strokes

{
    "strokes": {
        "strokes": {
            "x":[[33,34,36,45,50,58,59,61],[65,65,64,63,60,57,51,49,46,45,44,42,42,41],[82,83,84,87,89,92,93,93,94,94,95,95,96,96],[82,82,82,83,84,88,93,98,101,102],[130,130,134,139,147,149,150],[179,179,176,175,170,167,165,164,164,163,163,164,165,172,176,184,187,190,192,193,195,196,197,198,198,198,196,195,191,178,174,172,171],[245,245,245,244,244,243,243,243,243,243,243,243,243],[228,228,233,238,248,256,257,258],[231,234,239,253,258,266,268],[284,285,285,290,294,301,303,304,304,305,306,306,308,311,317,321,326,328,332,333,337,340,347,352,372,388,428,478,506,531,564,569],[370,370,369,363,361,355,353,350,350,350,350,351,354,362,364,367,367,371,372,373,374,374,374,374,372,365,362,355,354,352,352,351,351,351,350],[396,397,397,398,399,399,402,404,405,405,406,406,406,403,400,397,392,392,391,391,391,393,401,406,411,420,420,421],[433,434,434,434,435,442,447,455,458,459],[484,484,484,483,481,480,477,476,474,474,474,474,474,474,474,475,478,481,490,495,501,503,504,504,505,505,505],[497,496,496,496,496,496,496,496,496,497,497,497,497,497,497,498],[527,528,527,525,522,520,518,517,517,517,517,517,517,518,518,519,520,521,523,526,526,528,529,530,530,530,530,530,530,530,530,532,534,536,537,538,541,542,545,546,547,548],[565,565,565,565,564,562,558,556,555,554,553,553,553,553,553,554,554,556,556,559,561,566,567,568,569,570,571,572,573,573,574,574],[124,126,129,148,164,198,231,243,266,278,304,319,347,359,383,394,414,425,449,461,473,494,502,516,523,533,538,543,544,547,548,550,551,553,553,553,554,554,554,555,556,558,560,567,572,580,582,582],[289,289,290,291,293,301,308,318,320,322,323,324,325,326,326,326,325,322,316,307,304,297,296,293,293,292,292,291,291,291,293,296,307,310,315,316,318,318,321,322,325,327,329,330],[360,360,360,356,355,351,341,338,335,334,334,335,337,340,341,342,344,344,347,348,350,351,352,353,353,353,353,353,353,353,353,354,355,356,357,357,358,358,358,358,358,358,358,358,358,358,358,358,358,358,358,358,358,358,357,357,357,357,357,357,357,357,357,357,358,360,362,364,365,366,369,378,381,382,383,384]],
            "y":[[188,190,194,207,214,224,227,229],[192,192,194,196,201,205,214,217,222,224,227,228,230,230],[201,201,201,202,203,203,203,203,203,203,203,203,203,203],[218,219,219,219,220,220,221,221,221,221],[171,170,169,168,167,167,167],[129,130,144,154,178,195,202,207,209,210,210,208,207,199,195,190,188,188,188,188,189,191,193,196,197,200,201,201,202,202,202,202,202],[143,144,146,149,158,163,169,171,172,173,174,174,175],[166,166,165,164,164,164,164,164],[191,191,191,191,191,191,191],[167,167,168,187,197,213,216,218,218,218,218,217,214,209,193,185,166,156,140,135,127,123,116,113,109,107,106,106,106,104,103,102],[154,156,159,172,179,195,202,206,207,208,207,206,204,200,200,200,200,201,203,206,207,208,209,210,211,211,211,211,211,211,210,210,209,208,208],[152,152,151,151,150,149,148,148,148,148,148,149,152,162,166,170,175,176,176,177,177,178,180,180,181,181,181,181],[194,195,195,195,195,194,193,193,192,192],[153,153,155,158,170,175,185,190,197,199,201,202,202,203,203,204,205,205,205,205,205,205,205,205,204,204,204],[190,192,194,200,204,209,210,212,212,214,214,215,215,216,217,217],[193,192,192,192,192,193,194,195,197,199,201,203,203,205,206,207,207,207,207,207,207,206,206,201,199,196,195,194,194,194,196,199,202,205,206,207,208,209,210,210,211,211],[190,190,190,189,189,189,189,190,190,191,192,194,195,197,198,199,200,202,203,204,205,206,206,207,207,207,207,207,207,207,206,206],[228,228,228,228,228,228,231,231,231,231,232,234,234,234,235,235,235,236,236,236,238,239,239,240,241,241,241,241,241,241,241,241,241,241,241,241,241,241,241,241,241,241,241,241,241,241,241,241],[269,269,269,268,267,263,261,259,259,259,259,259,262,263,265,268,269,273,279,284,285,288,288,289,289,289,289,289,289,289,288,288,288,290,293,294,295,296,296,296,296,295,294,294],[278,278,278,277,277,277,277,277,278,279,282,286,290,293,294,294,295,295,295,295,294,294,293,292,291,290,289,288,288,288,288,288,289,290,291,291,291,290,288,288,287,286,286,286,285,285,284,284,284,283,283,282,282,282,281,281,280,280,279,279,279,278,279,280,282,287,290,293,295,296,297,299,300,300,300,300]]
        }
    },
    "formats": ["text", "html"],
    "data_options": {
        "include_latex": true
    }
}

request strokes visualization

rendered(response.text)

x = \frac{- b \pm \sqrt{b^{2} - 4 a c}}{2 a}

{
    "confidence": 0.997059396020232,
    "confidence_rate": 0.997059396020232,
    "html": "<div><span  class=\"math-inline \" >\n<latex style=\"display: none\">x=\\frac{-b \\pm \\sqrt{b^{2}-4 a c}}{2 a}</latex></span></div>\n",
    "text": "\\( x=\\frac{-b \\pm \\sqrt{b^{2}-4 a c}}{2 a} \\)"
}

response.html

<div>
    <span  class=\"math-inline \" >
        <latex style=\"display: none\">x=\\frac{-b \\pm \\sqrt{b^{2}-4 a c}}{2 a}</latex>
    </span>
</div>

请求

{
    "strokes": {
        "strokes": {
            "x":[[94,94,94,95,97,98,104,107,113,117,125,134,138,140,143,144,144,143,143,143,144,145,146,149,150,151,151,151,150,149,148,147,145,142,135,132,129,129,130,130,134,137,142,142,143,144,144],[187,187,187,189,192,201,202,205,205,206,206],[185,187,190,192,193,195,196,198,199,201,202,203],[251,251,251,251,251,251,251,251,251,251,251,251,251,251,252,253,258,263,270,276,282,283,284,284,284,284,284,283,283,282,281,281,282,283,288,289,296,297,301,303,306,307,308,309,309,309,309,309,309,309,309],[321,325,334,342,358,366,378,380,380],[365,364,363,359,356,352,347,343,342,341,339,338,337,337,336,336,336,335,335,335,335,335,334,334,333,333,333,332,332,332],[443,444,444,444,444,444,445,445,447,447,448,448,448],[423,423,425,430,441,448,464,467,468,469,469,470,470],[510,510,511,511,512,512,513,514,514,514,514,514,514,514,514,514,514,514,514,514,514,514,514,514,514,514,514,514,513,513,513,513,513,513,513,513,513,514,515,515,516,517,519,523,528,529,531,534,540,542,543,544,545,546,546,549,549,551,552,553,554,554,554,554,555,555,555,555,555,554,554,553,553,552,551,550,549,548,547,546,544,541,540,538,535,533,530,529,527,526,523,523,522,521,520,520,519,518,518,518,517,517,516,516,515,515,515,514,514,514],[121,121,122,130,136,148,154,162,163,164],[174,174,172,168,158,154,141,137,129,126,125,124],[216,217,225,232,246,251,256,257],[219,219,221,227,232,243,246,247,249,249,251,252,255,257,260,261,261],[320,320,320,320,321,323,324,325,326,327,329,335,339,345,347,350,352,352,354,354,354,354,354,353,353,353,352,352,352,352,352,352,353,356,358,361,362,362,363,364,364,364,364,364,364,364,364,364,364,363,363,363,361,361,359,358,355,355,353,352,351,351,350,350,349,349,349,349,349,350,351,356,358,361,361],[377,378,379,381,387,390,393,394,395,395,397,397,398,398,394,391,382,377,371,368,366,365,365,364,364,364,366,368,375,378,384,388,391,394,398,408,413,421,422,423,423],[445,445,446,447,454,457,464,467,470,472,473,474,474,475,476],[519,519,520,525,529,534,535,536,536,536,537,537,537,537,537,537,537,537,538,538,538,539,539,539,540,540,540]],
            "y":[[75,76,79,82,87,91,100,102,106,107,107,104,101,98,92,88,83,80,78,79,84,92,103,115,127,147,159,164,171,172,173,173,173,170,160,156,151,150,149,148,148,148,148,148,148,148,147],[88,88,88,88,88,88,88,88,88,88,88],[110,110,110,110,110,110,110,110,110,111,111,111],[89,89,99,104,118,123,126,127,126,116,102,97,91,89,87,87,87,87,90,95,104,107,114,115,117,118,118,118,118,114,109,99,93,90,84,83,81,81,82,84,91,96,106,110,113,114,116,117,119,119,119],[85,87,94,101,115,121,129,130,131],[84,84,85,89,91,94,101,106,108,110,112,113,115,116,116,117,118,118,119,119,120,120,121,121,122,122,123,123,124,124],[80,80,81,82,87,90,95,98,105,108,115,116,117],[98,98,98,98,98,98,98,98,98,98,98,98,98],[40,41,42,44,52,57,71,76,86,89,94,98,101,104,107,108,109,110,111,111,113,113,114,114,114,115,115,116,117,118,118,117,117,115,114,112,110,108,107,106,105,105,104,102,101,101,101,101,100,100,100,100,100,101,101,102,103,104,104,105,106,106,107,109,109,110,111,112,113,115,117,118,119,120,121,122,122,123,123,123,123,123,123,123,123,122,121,121,121,120,119,119,119,119,118,118,118,117,117,117,117,117,117,117,117,117,117,117,117,117],[285,286,288,299,306,321,327,334,335,335],[290,290,292,296,304,308,321,329,339,343,346,346],[305,304,304,304,304,304,304,304],[334,334,334,334,334,334,334,334,334,334,334,334,334,334,334,334,334],[295,297,300,307,310,317,320,323,324,326,326,327,327,327,327,326,325,324,322,320,315,314,311,309,308,307,307,306,306,307,310,317,324,339,346,358,361,363,367,367,370,370,372,372,373,374,375,376,377,378,378,379,380,380,380,380,381,381,382,382,382,382,381,381,378,377,375,373,371,369,368,366,365,364,364],[259,258,256,254,250,248,247,247,247,247,248,249,256,261,271,276,286,289,293,294,294,294,294,293,292,291,290,290,290,291,294,296,297,297,297,294,292,290,289,289,289],[313,313,312,312,312,312,312,312,312,312,312,312,312,312,312],[292,292,290,285,281,275,272,270,269,270,273,278,290,297,309,316,326,331,335,336,337,337,338,339,342,343,345]]
        }
    },
    "formats": ["text", "html"],
    "data_options": {
        "include_latex": true
    }
}

request strokes visualization

rendered(response.text)

\begin{array}{l} y = m x + b \\ x = y^{2} - 1 \end{array}

{
    "confidence": 1,
    "confidence_rate": 1,
    "html": "<div><span class=\"math-inline \">\n<latex style=\"display: none\">\\begin{array}{l}y=m x+b \\\\ x=y^{2}-1\\end{array}</latex></span></div>\n",
    "text": "\\( \\begin{array}{l}y=m x+b \\\\ x=y^{2}-1\\end{array} \\)"
}

response.html

<div>
   <span class="math-inline ">
      <latex style="display: none">\begin{array}{l}y=m x+b \\ x=y^{2}-1\end{array}</latex>
   </span>
</div>

Tables

请求

{
    "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
    }
}

请求图片

rendered(response.text)

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

{
    "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}"
}

response.html

<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>

response.data[1].value

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

图表

图表已本地化并包含在“line_data”中，但不会生成 OCR 结果。

请求

{
    "src": "https://mathpix.com/examples/text_with_diagram.png",
    "formats": ["html"],
    "include_line_data": true,
    "data_options": {
        "include_asciimath": true,
        "include_mathml": true
    }
}

请求图片

{
    "confidence": 0.651358435330524,
    "confidence_rate": 0.651358435330524,
    "html": "<div>Equivalent resistance between points <span class=\"math-inline \"><mathml style=\"display: none\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\">\n  <mrow>\n    <mi mathvariant=\"normal\">A</mi>\n  </mrow>\n  <mi mathvariant=\"normal\">&amp;</mi>\n  <mrow>\n    <mi mathvariant=\"normal\">B</mi>\n  </mrow>\n</math></mathml><asciimath style=\"display: none;\">A&amp;B</asciimath></span> in the adjacent circuit is</div>\n",
    "line_data": [
        {
            "type": "text",
            "cnt": [
                [
                    859,
                    81
                ],
                [
                    739,
                    91
                ],
                [
                    626,
                    91
                ],
                [
                    -2,
                    66
                ],
                [
                    0,
                    34
                ],
                [
                    739,
                    52
                ],
                [
                    859,
                    63
                ]
            ],
            "included": true,
            "text": "Equivalent resistance between points \\( \\mathrm{A} \\& \\mathrm{B} \\) in the adjacent circuit is",
            "after_hyphen": false,
            "confidence": 0.651358435330524,
            "confidence_rate": 0.9948483133235457,
            "html": "<div>Equivalent resistance between points <span class=\"math-inline \"><mathml style=\"display: none\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\">\n  <mrow>\n    <mi mathvariant=\"normal\">A</mi>\n  </mrow>\n  <mi mathvariant=\"normal\">&amp;</mi>\n  <mrow>\n    <mi mathvariant=\"normal\">B</mi>\n  </mrow>\n</math></mathml><asciimath style=\"display: none;\">A&amp;B</asciimath></span> in the adjacent circuit is</div>\n"
        },
        {
            "type": "diagram",
            "cnt": [
                [
                    654,
                    244
                ],
                [
                    651,
                    683
                ],
                [
                    7,
                    678
                ],
                [
                    11,
                    238
                ]
            ],
            "included": false,
            "error_id": "image_not_supported"
        }
    ]
}

rendered(response.text)

相邻电路中点

A & B

之间的等效电阻为

化学图

化学图的处理方式与其他图相同，只是它们还在 line_data 中包含一个文本字段 subtype，该字段等于 chemistry（请参阅此处以获取文档）。

与图表一样，它们目前不会生成 OCR 结果，除非您通过 include_smiles 参数启用实验化学 OCR 支持（请参阅下一节）。

请求

{
    "src": "https://mathpix.com/examples/chemistry_caffeine.png",
    "include_line_data": true
}

请求图片

{
    "is_printed": true,
    "is_handwritten": false,
    "error": "Content not found",
    "error_info": {
        "id": "image_no_content",
        "message": "Content not found"
    },
    "line_data": [
        {
            "type": "diagram",
            "cnt": [
                [
                    434,
                    306
                ],
                [
                    27,
                    306
                ],
                [
                    27,
                    -2
                ],
                [
                    434,
                    0
                ]
            ],
            "included": false,
            "subtype": "chemistry",
            "error_id": "image_not_supported"
        }
    ]
}

化学图 OCR

要启用实验化学图 OCR，只需在请求正文中包含 include_smiles 参数即可。我们提供的 Mathpix Markdown 语法 <smiles>...</smiles> 使用 SMILES（简化分子输入行输入系统）。要了解有关 SMILES 的更多信息：

https://en.wikipedia.org/wiki/Simplified_molecular-input_line-entry_system

请注意，SMILES 与所有主要化学软件兼容。

您还可以使用 include_inchi 参数将 InChI 数据作为 XML 属性包含在 <smiles> 元素内，例如 <smiles inchi="..." inchikey="...">...</smiles>。

请求

{
    "src": "https://mathpix.com/examples/chemistry_caffeine.png",
    "include_line_data": true,
    "include_smiles": true,
    "include_inchi": true
}

请求图片

{
    "request_id": "dbf6fa62120fc703735c9bffd1f793c5",
    "is_printed": true,
    "is_handwritten": false,
    "auto_rotate_confidence": 0.00038579112517922454,
    "auto_rotate_degrees": 0,
    "confidence": 0.5630934028128729,
    "confidence_rate": 0.5630934028128729,
    "text": "<smiles inchi=\"InChI=1S/C8H10N4O2/c1-10-4-9-6-5(10)7(13)12(3)8(14)11(6)2/h4H,1-3H3\" inchi_key=\"RYYVLZVUVIJVGH-UHFFFAOYSA-N\">Cn1c(=O)c2c(ncn2C)n(C)c1=O</smiles>",
    "line_data": [
        {
            "type": "diagram",
            "cnt": [
                [
                    436,
                    308
                ],
                [
                    32,
                    308
                ],
                [
                    32,
                    0
                ],
                [
                    436,
                    0
                ]
            ],
            "included": true,
            "subtype": "chemistry",
            "text": "\n<smiles>Cn1c(=O)c2c(ncn2C)n(C)c1=O</smiles>",
            "after_hyphen": false,
            "confidence": 0.5630934028128729,
            "confidence_rate": 0.9796978580652379
        }
    ]
}

rendered(response)

InChIKey

RYYVLZVUVIJVGH-UHFFFAOYSA-N

InChIKey 值便于搜索在线化学数据库，例如参见：

https://webbook.nist.gov/cgi/cbook.cgi?InChI=RYYVLZVUVIJVGH-UHFFFAOYSA-N&Units=SI

限制

不支持化学反应
难以处理大分子

三角图

几何图的处理方式与其他图相同，只是它们在“line_data”中还包含一个文本字段“subtype”，该字段等于“triangle”（请参阅此处获取文档）。与化学一样，它们目前不会生成 OCR 结果。

请求

{
    "src": "https://mathpix.com/examples/triangle_0.jpg",
    "include_line_data": true
}

请求图片

{
    "is_printed": true,
    "is_handwritten": false,
    "auto_rotate_confidence": 0.007725002452811935,
    "auto_rotate_degrees": 0,
    "error": "Content not found",
    "error_info": {
        "id": "image_no_content",
        "message": "Content not found"
    },
    "line_data": [
        {
            "type": "diagram",
            "cnt": [
                [
                    339,
                    343
                ],
                [
                    31,
                    343
                ],
                [
                    31,
                    1
                ],
                [
                    339,
                    1
                ]
            ],
            "included": false,
            "subtype": "triangle",
            "error_id": "image_not_supported"
        }
    ]
}

三角图 OCR

要启用三角图 OCR，请在请求主体中包含“include_geometry_data”参数。

请求

{
    "src": "https://mathpix.com/examples/triangle_0.jpg",
    "include_geometry_data": true
}

请求图片

{
    "is_printed": true,
    "is_handwritten": false,
    "auto_rotate_confidence": 0.03240217728347261,
    "auto_rotate_degrees": 0,
    "geometry_data": [
        {
            "position": {
                "top_left_x": 183,
                "top_left_y": 3,
                "height": 344,
                "width": 309
            },
            "shape_list": [
                {
                    "type": "triangle",
                    "vertex_list": [
                        {
                            "x": 218,
                            "y": 46,
                            "edge_list": [
                                1,
                                2
                            ]
                        },
                        {
                            "x": 218,
                            "y": 314,
                            "edge_list": [
                                0,
                                2
                            ]
                        },
                        {
                            "x": 456,
                            "y": 314,
                            "edge_list": [
                                0,
                                1
                            ]
                        }
                    ]
                }
            ],
            "label_list": [
                {
                    "position": {
                        "top_left_x": 198,
                        "top_left_y": 7,
                        "height": 24,
                        "width": 22
                    },
                    "text": "\\( A \\)",
                    "latex": "A",
                    "confidence": 0.99951171875,
                    "confidence_rate": 0.99951171875
                },
                {
                    "position": {
                        "top_left_x": 228,
                        "top_left_y": 78,
                        "height": 20,
                        "width": 14
                    },
                    "text": "\\( ? \\)",
                    "latex": "?",
                    "confidence": 0.96923828125,
                    "confidence_rate": 0.96923828125
                },
                {
                    "position": {
                        "top_left_x": 349,
                        "top_left_y": 154,
                        "height": 21,
                        "width": 16
                    },
                    "text": "6",
                    "latex": "6",
                    "confidence": 0.99951171875,
                    "confidence_rate": 0.99951171875
                },
                {
                    "position": {
                        "top_left_x": 189,
                        "top_left_y": 318,
                        "height": 24,
                        "width": 23
                    },
                    "text": "\\( C \\)",
                    "latex": "C",
                    "confidence": 0.837890625,
                    "confidence_rate": 0.837890625
                },
                {
                    "position": {
                        "top_left_x": 329,
                        "top_left_y": 326,
                        "height": 20,
                        "width": 18
                    },
                    "text": "4",
                    "latex": "4",
                    "confidence": 1,
                    "confidence_rate": 1
                },
                {
                    "position": {
                        "top_left_x": 469,
                        "top_left_y": 311,
                        "height": 22,
                        "width": 22
                    },
                    "text": "\\( B \\)",
                    "latex": "B",
                    "confidence": 0.99072265625,
                    "confidence_rate": 0.99072265625
                }
            ]
        }
    ]
}

rendered(response.geometry_data)

标签和顶点预测的可视化：

行数据

请求

{
    "src": "https://mathpix.com/examples/text_with_math_1.jpg",
    "formats": ["html"],
    "include_line_data": true,
    "data_options": {
        "include_asciimath": true,
        "include_latex": true
    }
}

请求图片

rendered(response.line_data[:].cnt)

该图像是在line_data字段中返回的轮廓：

{
    "confidence": 0.9398651123046875,
    "confidence_rate": 0.9866095640316896,
    "html": "<div>Given that-<br>\n<span class=\"math-inline \">\n<asciimath style=\"display: none;\">1.5 x=0.05 y</asciimath><latex style=\"display: none\">1.5 x=0.05 y</latex></span><br>\n<span class=\"math-inline \">\n<asciimath style=\"display: none;\">=&gt;(x)/(y)=(0.05)/(1.5)=(5xx10)/(100 xx15)</asciimath><latex style=\"display: none\">\\Rightarrow \\frac{x}{y}=\\frac{0.05}{1.5}=\\frac{5 \\times 10}{100 \\times 15}</latex></span><br>\n<span class=\"math-inline \">\n<asciimath style=\"display: none;\">:.(x)/(y)=(1)/(30)</asciimath><latex style=\"display: none\">\\therefore \\frac{x}{y}=\\frac{1}{30}</latex></span><br>\n<span class=\"math-inline \">\n<asciimath style=\"display: none;\">:.(y-x)/(y+x)=(30-1)/(30+1)=(29)/(31)=0.935</asciimath><latex style=\"display: none\">\\therefore \\frac{y-x}{y+x}=\\frac{30-1}{30+1}=\\frac{29}{31}=0.935</latex></span></div>\n",
    "line_data": [
        {
            "type": "text",
            "cnt": [
                [
                    129,
                    20
                ],
                [
                    69,
                    21
                ],
                [
                    14,
                    21
                ],
                [
                    14,
                    3
                ],
                [
                    79,
                    2
                ],
                [
                    129,
                    2
                ]
            ],
            "included": true,
            "text": "Given that-",
            "after_hyphen": false,
            "confidence": 0.9398651123046875,
            "confidence_rate": 0.996560433820066,
            "html": "<div>Given that-</div>\n"
        },
        {
            "type": "math",
            "cnt": [
                [
                    139,
                    50
                ],
                [
                    16,
                    50
                ],
                [
                    16,
                    29
                ],
                [
                    139,
                    29
                ]
            ],
            "included": true,
            "text": "\n\\( 1.5 x=0.05 y \\)",
            "after_hyphen": false,
            "confidence": 1,
            "confidence_rate": 1,
            "html": "<div><span class=\"math-inline \">\n<asciimath style=\"display: none;\">1.5 x=0.05 y</asciimath><latex style=\"display: none\">1.5 x=0.05 y</latex></span></div>\n"
        },
        {
            "type": "math",
            "cnt": [
                [
                    231,
                    118
                ],
                [
                    13,
                    118
                ],
                [
                    13,
                    64
                ],
                [
                    231,
                    64
                ]
            ],
            "included": true,
            "text": "\n\\( \\Rightarrow \\frac{x}{y}=\\frac{0.05}{1.5}=\\frac{5 \\times 10}{100 \\times 15} \\)",
            "after_hyphen": false,
            "confidence": 1,
            "confidence_rate": 1,
            "html": "<div><span class=\"math-inline \">\n<asciimath style=\"display: none;\">=&gt;(x)/(y)=(0.05)/(1.5)=(5xx10)/(100 xx15)</asciimath><latex style=\"display: none\">\\Rightarrow \\frac{x}{y}=\\frac{0.05}{1.5}=\\frac{5 \\times 10}{100 \\times 15}</latex></span></div>\n"
        },
        {
            "type": "math",
            "cnt": [
                [
                    109,
                    190
                ],
                [
                    15,
                    190
                ],
                [
                    15,
                    138
                ],
                [
                    109,
                    138
                ]
            ],
            "included": true,
            "text": "\n\\( \\therefore \\frac{x}{y}=\\frac{1}{30} \\)",
            "after_hyphen": false,
            "confidence": 1,
            "confidence_rate": 1,
            "html": "<div><span class=\"math-inline \">\n<asciimath style=\"display: none;\">:.(x)/(y)=(1)/(30)</asciimath><latex style=\"display: none\">\\therefore \\frac{x}{y}=\\frac{1}{30}</latex></span></div>\n"
        },
        {
            "type": "math",
            "cnt": [
                [
                    300,
                    263
                ],
                [
                    15,
                    263
                ],
                [
                    15,
                    208
                ],
                [
                    300,
                    208
                ]
            ],
            "included": true,
            "text": "\n\\( \\therefore \\frac{y-x}{y+x}=\\frac{30-1}{30+1}=\\frac{29}{31}=0.935 \\)",
            "after_hyphen": false,
            "confidence": 0.99462890625,
            "confidence_rate": 0.9998776081738409,
            "html": "<div><span class=\"math-inline \">\n<asciimath style=\"display: none;\">:.(y-x)/(y+x)=(30-1)/(30+1)=(29)/(31)=0.935</asciimath><latex style=\"display: none\">\\therefore \\frac{y-x}{y+x}=\\frac{30-1}{30+1}=\\frac{29}{31}=0.935</latex></span></div>\n"
        }
    ]
}

rendered(response.text)

鉴于-

1.5 x = 0.05 y

\Rightarrow \frac{x}{y} = \frac{0.05}{1.5} = \frac{5 \times 10}{100 \times 15}

∴ \frac{x}{y} = \frac{1}{30}

∴ \frac{y - x}{y + x} = \frac{30 - 1}{30 + 1} = \frac{29}{31} = 0.935