{"id":67245,"date":"2026-10-20T13:06:02","date_gmt":"2026-10-20T10:06:02","guid":{"rendered":"https:\/\/wpcalc.com\/en\/?p=67245"},"modified":"2026-10-20T13:06:02","modified_gmt":"2026-10-20T10:06:02","slug":"summation-calculator-sigma-notation","status":"publish","type":"post","link":"https:\/\/wpcalc.com\/en\/mathematics\/summation-calculator-sigma-notation\/","title":{"rendered":"Summation Calculator \u2013 Sigma Notation"},"content":{"rendered":"<section class=\"not-prose calculator-box\" aria-labelledby=\"calculator-title\"><div class=\"flex items-baseline sm:items-center justify-between gap-2 sm:gap-3\"><div class=\"flex flex-col sm:flex-row sm:items-center gap-2\"><span class=\"icon icon-calculator text-primary-700! text-base! dark:text-primary-300!\" aria-hidden=\"true\"><\/span><h2 id=\"calculator-title\" class=\"text-lg font-display font-bold\">Evaluate a Sigma Sum or Add a List of Numbers<\/h2><\/div><div class=\"calcdash-favorite group\">\n  <button type=\"button\" class=\"favorite\" id=\"favorite\" data-favorite-id=\"67245\" data-favorite-title=\"Summation\" data-favorite-url=\"https:\/\/wpcalc.com\/en\/mathematics\/summation-calculator-sigma-notation\/\" data-favorite-excerpt=\"Evaluate any sum written in sigma notation: enter an expression f(n), the lower and upper bounds, and get the total, the number of terms and a closed-form check. You can also paste a plain list of numbers to add them up.\" aria-label=\"Add to Favorites\" data-favorite-icon=\"icon icon-arithmetic\">\n    <span class=\"icon icon-shape-star-empty\" aria-hidden=\"true\"><\/span>\n  <\/button>\n  <div class=\"calcdash-favorite__tip\" aria-hidden=\"true\">\n   <span class=\"favorite-tooltip\" id=\"favorite-tooltip\"><\/span>\n  <\/div>\n  <span class=\"sr-only\" role=\"status\" id=\"favorite-status\"><\/span>\n<\/div><\/div><form action=\"https:\/\/wpcalc.com\/en\/mathematics\/summation-calculator-sigma-notation\/\" method=\"POST\" class=\"calculator\" id=\"calculator-67245\" data-post=\"67245\"><fieldset class=\"fieldset-input is-2\"><legend class=\"sr-only\">Input Fields<\/legend><div class=\"field\" id=\"input-1\"><label for=\"field-1\">Mode<\/label><div class=\"grid grid-cols-1\"><select id=\"field-1\" name=\"mode\"><option value=\"sigma\" selected>Sigma notation \u03a3 f(n)<\/option><option value=\"list\">List of numbers<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><div class=\"field is-single has-term\" id=\"input-2\"><label for=\"field-2\">Expression f(n)<\/label><div class=\"term\">f(n)<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"expression_fn\" id=\"field-2\" aria-describedby=\"calc-info-2\" placeholder=\"e.g. n^2 + 3n, 1\/n, 2^n, n!, (n+1)(n-1)\" step=\"any\" value=\"n^2\"\/><small id=\"calc-info-2\">Operators: + \u2212 * \/ ^ (powers), parentheses, ! (factorial) and implicit products such as 2n or 3(n + 1). Functions: sqrt, ln, log (base 10), sin, cos, tan (radians), abs. Constants: pi, e. The variable is n.<\/small><\/div><div class=\"field has-term\" id=\"input-3\"><label for=\"field-3\">Lower bound<\/label><div class=\"term\">a<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"number\" name=\"lower_bound\" id=\"field-3\" aria-describedby=\"calc-info-3\" min=\"-1000000000\" max=\"1000000000\" step=\"1\" value=\"1\"\/><small id=\"calc-info-3\">Whole number. The span b \u2212 a may cover at most 1,000,000 terms.<\/small><\/div><div class=\"field has-term\" id=\"input-4\"><label for=\"field-4\">Upper bound<\/label><div class=\"term\">b<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"number\" name=\"upper_bound\" id=\"field-4\" aria-describedby=\"calc-info-4\" min=\"-1000000000\" max=\"1000000000\" step=\"1\" value=\"10\"\/><small id=\"calc-info-4\">Whole number, not below the lower bound.<\/small><\/div><div class=\"field is-single\" id=\"input-5\" hidden><label for=\"field-5\">Numbers<\/label><textarea id=\"field-5\" name=\"numbers\">12, 18, 30<\/textarea><\/div><\/fieldset><div class=\"buttons\"><button type=\"submit\" data-text=\"Re-Calculate\" id=\"calculate-button\" data-post=\"67245\">Calculate<\/button><button type=\"reset\">Reset<\/button><\/div><div class=\"field is-checkbox hidden!\" id=\"field-auto-calc\"><input type=\"checkbox\" id=\"auto-calc\"><label for=\"auto-calc\">Calculate automatically<\/label><small>If enabled, the result will update automatically when you change any value.<\/small><\/div><div class=\"fieldset-result is-hidden\" aria-labelledby=\"result-title\" aria-live=\"polite\" role=\"region\"> <h3 class=\"result-title bg-gradient-to-r from-primary-50 to-gray-50 dark:from-primary-900 dark:to-gray-800\" id=\"result-title\"><span class=\"icon icon-s-pulse\" aria-hidden=\"true\"><\/span> Your Results<\/h3><div class=\"result-box\"><div class=\"field-result\" id=\"output-1\"><span class=\"field-title\"><span>Sum<\/span><span class=\"result-term\">\u03a3<\/span><\/span><span class=\"field-value\" id=\"result-1\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copy Result\" aria-label=\"Copy Result\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result\" id=\"output-2\"><span class=\"field-title\"><span>Number of terms<\/span><span class=\"result-term\">k<\/span><\/span><span class=\"field-value\" id=\"result-2\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copy Result\" aria-label=\"Copy Result\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result is-column\" id=\"output-3\"><span class=\"field-title\"><span>First terms<\/span><\/span><span class=\"field-value\" id=\"result-3\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copy Result\" aria-label=\"Copy Result\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result is-column\" id=\"output-4\"><span class=\"field-title\"><span>Closed-form check<\/span><\/span><span class=\"field-value\" id=\"result-4\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copy Result\" aria-label=\"Copy Result\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result\" id=\"output-5\"><span class=\"field-title\"><span>Mean<\/span><\/span><span class=\"field-value\" id=\"result-5\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copy Result\" aria-label=\"Copy Result\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><\/div><div class=\"result-actions\"><button type=\"button\" class=\"copy-link\"><svg viewBox=\"0 0 20 20\" fill=\"currentColor\" aria-hidden=\"true\"><path d=\"M12.232 4.232a2.5 2.5 0 0 1 3.536 3.536l-1.225 1.224a.75.75 0 0 0 1.061 1.06l1.224-1.224a4 4 0 0 0-5.656-5.656l-3 3a4 4 0 0 0 .225 5.865.75.75 0 0 0 .977-1.138 2.5 2.5 0 0 1-.142-3.667l3-3Z\"\/><path d=\"M11.603 7.963a.75.75 0 0 0-.977 1.138 2.5 2.5 0 0 1 .142 3.667l-3 3a2.5 2.5 0 0 1-3.536-3.536l1.225-1.224a.75.75 0 0 0-1.061-1.06l-1.224 1.224a4 4 0 1 0 5.656 5.656l3-3a4 4 0 0 0-.225-5.865Z\"\/><\/svg><span class=\"copy-link__text\">Copy link to this calculation<\/span><\/button><span class=\"sr-only\" role=\"status\" id=\"copy-link-status\"><\/span><\/div><\/div><a href=\"#respond\" class=\"hidden transition-opacity duration-300 opacity-0 w-50 text-sm justify-center items-center gap-2 px-4 py-2 rounded bg-gray-200 text-gray-700 hover:bg-gray-300\" id=\"leave-comment\"><span class=\"icon icon-comments\" aria-hidden=\"true\"><\/span>Leave a Comment<\/a><\/form><\/section><section id=\"calc-reactions\" class=\"not-prose hidden my-12 bg-gradient-to-r from-primary-50 to-gray-50 border border-indigo-100 rounded-xl px-6 py-4 shadow-sm\" data-post=\"67245\" aria-live=\"polite\" aria-labelledby=\"calc-reactions-title\"><p id=\"calc-reactions-title\" class=\"text-sm text-gray-500 text-center mb-2\">How did this result make you feel?<\/p><div role=\"group\" aria-labelledby=\"calc-reactions-title\" class=\"grid grid-cols-3 sm:flex sm:flex-row sm:justify-around gap-4 sm:items-center sm:flex-wrap\"><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"like\"><span class=\"reaction-count\" data-reaction-count=\"like\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude00 <\/span><span class=\"reaction-description font-medium\">Like <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"helpful\"><span class=\"reaction-count\" data-reaction-count=\"helpful\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\udca1 <\/span><span class=\"reaction-description font-medium\">Helpful <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"confused\"><span class=\"reaction-count\" data-reaction-count=\"confused\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude15 <\/span><span class=\"reaction-description font-medium\">Confused <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"disappointed\"><span class=\"reaction-count\" data-reaction-count=\"disappointed\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude1e <\/span><span class=\"reaction-description font-medium\">Disappointed <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"inaccurate\"><span class=\"reaction-count\" data-reaction-count=\"inaccurate\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\u274c <\/span><span class=\"reaction-description font-medium\">Inaccurate <\/span><\/button><\/div><div id=\"reaction-message\" class=\"hidden mt-8 rounded-md border border-primary-100 bg-white\/50 backdrop-blur-sm px-4 py-2 text-sm text-center shadow-sm\"><\/div><\/section><div class=\"calcdash-ad not-prose calcdash-ad--calc_result calcdash-ad--in-article\"><ins class=\"adsbygoogle\" style=\"display:block\" data-ad-client=\"ca-pub-1721569815777345\" data-ad-slot=\"6317458308\" data-ad-layout=\"in-article\" data-ad-format=\"fluid\"><\/ins><script>(adsbygoogle = window.adsbygoogle || []).push({});<\/script><\/div>\n<style id=\"wpcoderpro-inline-1\">.formula-box {\r\n\tborder-bottom: none !important;\r\n}<\/style><section class=\"formula-box\" aria-labelledby=\"formula-title\">\r\n\t<div id=\"formula-title\" class=\"not-prose font-display mb-4\"><span class=\"icon icon-formula\" aria-hidden=\"true\"><\/span><h2>Summation (Sigma Notation) Formula<\/h2><\/div>\r\n\t<figure class=\"not-prose formula\">\r\n\t\t<figcaption class=\"formula-title\">Formula<\/figcaption>\r\n\t\t<div class=\"text-base text-gray-800\" id=\"formula\">\n\\[ \\sum_{n=a}^{b} f(n) \\;=\\; f(a) + f(a+1) + f(a+2) + \\dots + f(b) \\]\n<\/div>\r\n\t<\/figure>\r\n\t<\/p>\n<p><strong>Where:<\/strong><\/p>\n<ul>\n<li>\\(a\\) \u2014 lower bound: the whole number at which the summation starts<\/li>\n<li>\\(b\\) \u2014 upper bound: the whole number at which the summation ends (\\(b \\ge a\\))<\/li>\n<li>\\(f(n)\\) \u2014 the expression evaluated at every whole number \\(n\\) between \\(a\\) and \\(b\\)<\/li>\n<li>\\(n\\) \u2014 the index of summation, the running variable<\/li>\n<\/ul>\n<p>The sigma (\u03a3) notation is shorthand for \u201cevaluate \\(f(n)\\) at each whole number from \\(a\\) to \\(b\\), inclusive, and add all the values together.\u201d For example, \\(\\sum_{n=1}^{4} n = 1 + 2 + 3 + 4 = 10\\).<\/p>\n<p>\r\n<\/section>\n<style id=\"wpcoderpro-inline-459\">.calculation-box {\r\n\tborder-bottom: none !important;\r\n}<\/style><section id=\"calculation\" class=\"calculation-box\" aria-labelledby=\"calculation-title\">\r\n\t<div id=\"calculation-title\" class=\"not-prose font-display\"><span class=\"icon icon-unordered-list\" aria-hidden=\"true\"><\/span><h2>Summation \u2013 Calculation Example<\/h2><\/div>\r\n\r\n<\/p>\n<p><strong>Example:<\/strong> add the squares of the whole numbers from 1 to 10 \u2014 the calculator\u2019s default expression \\(f(n) = n^2\\) with Lower bound 1 and Upper bound 10.<\/p>\n<p>\\[ \\sum_{n=1}^{10} n^2 = 1^2 + 2^2 + 3^2 + \\dots + 10^2 = 1 + 4 + 9 + \\dots + 100 \\]<\/p>\n<p>Using the closed form for the sum of squares:<\/p>\n<p>\\[ \\sum_{n=1}^{N} n^2 = \\frac{N(N+1)(2N+1)}{6} = \\frac{10 \\times 11 \\times 21}{6} = 385 \\]<\/p>\n<p><strong>Result:<\/strong> 385, obtained by adding 10 terms. The calculator\u2019s closed-form check confirms the same value.<\/p>\n<p>\n\r\n<\/section>\n<h2>How to use the calculator<\/h2>\n<ol>\n<li>Pick the <strong>Mode<\/strong>: \u201cSigma notation \u03a3 f(n)\u201d to evaluate a sum defined by a formula, or \u201cList of numbers\u201d to add values you already have.<\/li>\n<li>Enter the <strong>Expression f(n)<\/strong> using the variable n \u2014 for example <code>n^2 + 3n<\/code>, <code>1\/n<\/code>, <code>2^n<\/code> or <code>n!<\/code>. You can use the operators <code>+ \u2212 * \/ ^ ( )<\/code> and <code>!<\/code>, implicit products such as <code>2n<\/code> or <code>3(n + 1)<\/code>, the functions <code>sqrt<\/code>, <code>ln<\/code>, <code>log<\/code>, <code>sin<\/code>, <code>cos<\/code>, <code>tan<\/code> and <code>abs<\/code>, and the constants <code>pi<\/code> and <code>e<\/code>.<\/li>\n<li>Set the <strong>Lower bound<\/strong> (a) and <strong>Upper bound<\/strong> (b). Both must be whole numbers, and the span b \u2212 a can cover at most 1,000,000 terms.<\/li>\n<li>In list mode, paste your values into <strong>Numbers<\/strong> instead, separated by commas, spaces, semicolons or line breaks.<\/li>\n<li>Read the results: the <strong>Sum<\/strong>, the <strong>Number of terms<\/strong>, the first terms of the series, and \u2014 in sigma mode \u2014 a <strong>Closed-form check<\/strong> that verifies the answer against a known formula when the expression matches one.<\/li>\n<\/ol>\n<h2>What is sigma notation?<\/h2>\n<p>Sigma notation (also called summation notation) is the standard mathematical way to write a long addition in a single line. The Greek letter \u03a3 stands for \u201csum\u201d, the value below it marks the starting index, the value above it marks the ending index, and the expression to the right describes each term. Instead of writing 1 + 4 + 9 + \u2026 + 100, you write \\(\\sum_{n=1}^{10} n^2\\) \u2014 shorter, unambiguous, and easy to adjust by changing the bounds.<\/p>\n<p>Sigma sums appear everywhere in mathematics and its applications. They define <a href=\"https:\/\/wpcalc.com\/en\/mathematics\/weighted-mean\/\">means and averages<\/a>, the terms of geometric and arithmetic series, polynomial coefficients, and even the results of the <a href=\"https:\/\/wpcalc.com\/en\/mathematics\/factorial-calculator\/\">factorial<\/a> when combined with other operations. In statistics, finance, physics and computer science, \u201cadd up f(n) for every n in a range\u201d is one of the most common calculations there is.<\/p>\n<p>The index n is just a placeholder: \\(\\sum_{i=1}^{5} i\\) and \\(\\sum_{k=1}^{5} k\\) mean the same thing. What matters is the expression and the bounds. Note that the bounds do not have to start at 1 \u2014 you can sum from a negative or zero lower bound, for example \\(\\sum_{n=-2}^{2} n = 0\\), because the terms cancel in pairs.<\/p>\n<p>Many common series have closed-form formulas, which give the total without adding term by term. The calculator automatically checks for four such patterns: \\(\\sum n\\), \\(\\sum n^2\\), \\(\\sum n^3\\) and the geometric series \\(\\sum r^n\\). When your expression matches one of them, the result is verified against the closed form, which is both a sanity check and a small demonstration of how the formula works.<\/p>\n<h2>Common closed-form summation formulas<\/h2>\n<table>\n<thead>\n<tr>\n<th>Series (sum from 1 to N)<\/th>\n<th>Closed form<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>\\(\\sum_{n=1}^{N} n\\)<\/td>\n<td>\\(\\dfrac{N(N+1)}{2}\\)<\/td>\n<\/tr>\n<tr>\n<td>\\(\\sum_{n=1}^{N} n^2\\)<\/td>\n<td>\\(\\dfrac{N(N+1)(2N+1)}{6}\\)<\/td>\n<\/tr>\n<tr>\n<td>\\(\\sum_{n=1}^{N} n^3\\)<\/td>\n<td>\\(\\left(\\dfrac{N(N+1)}{2}\\right)^2\\)<\/td>\n<\/tr>\n<tr>\n<td>\\(\\sum_{n=0}^{N} r^n\\), \\(r \\ne 1\\)<\/td>\n<td>\\(\\dfrac{r^{N+1} - 1}{r - 1}\\)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>The first formula is attributed to Gauss as a schoolboy legend: adding 1 through 100, he paired numbers from the ends (1 + 100, 2 + 99, \u2026) to get 50 pairs of 101, giving 5050 instantly. The geometric formula is the basis of compound growth, and you can explore individual power terms with the <a href=\"https:\/\/wpcalc.com\/en\/mathematics\/exponent-calculator\/\">exponent calculator<\/a>.<\/p>\n<h2>Assumptions, limitations and tips<\/h2>\n<ul>\n<li><strong>Whole-number bounds only.<\/strong> Sigma notation with a running index makes sense for integer steps, so both the lower and upper bounds must be whole numbers. For sums over continuous ranges you need integration instead.<\/li>\n<li><strong>Span limit.<\/strong> The difference between the bounds can cover at most 1,000,000 terms, so a single run cannot add more than a million values. For very long sums over a known pattern, the closed-form check tells you the total instantly anyway.<\/li>\n<li><strong>Dividing and taking roots.<\/strong> The expression must be defined at every n in the range. A term like <code>1\/n<\/code> fails if the range includes 0, and <code>sqrt(n)<\/code> fails for negative n \u2014 the error message names the offending value.<\/li>\n<li><strong>Factorials.<\/strong> The factorial operator <code>!<\/code> accepts whole numbers from 0 up to 170; anything larger overflows the numeric range. See the <a href=\"https:\/\/wpcalc.com\/en\/mathematics\/factorial-calculator\/\">factorial calculator<\/a> for standalone computations.<\/li>\n<li><strong>Trigonometry.<\/strong> The functions <code>sin<\/code>, <code>cos<\/code> and <code>tan<\/code> use radians, matching mathematical convention.<\/li>\n<li><strong>Rounding.<\/strong> Results are shown with up to 12 significant digits. Over very long spans of fractional terms, tiny floating-point rounding can accumulate; the closed-form check is evaluated independently and flags when the two values disagree.<\/li>\n<li><strong>List mode.<\/strong> Up to 50,000 numbers can be pasted at once, separated by commas, spaces, semicolons or line breaks, with a dot as the decimal separator. List mode also reports the mean of your numbers.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Evaluate any sum written in sigma notation: enter an expression f(n), the lower and upper bounds, and get the total, the number of terms and a closed-form check. You can also paste a plain list of numbers to add them up.<\/p>\n","protected":false},"author":3168,"featured_media":0,"comment_status":"open","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[7],"tags":[72],"class_list":["post-67245","post","type-post","status-publish","format-standard","hentry","category-mathematics","tag-arithmetic-calculators"],"acf":[],"_links":{"self":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/67245","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/users\/3168"}],"replies":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/comments?post=67245"}],"version-history":[{"count":1,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/67245\/revisions"}],"predecessor-version":[{"id":67262,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/67245\/revisions\/67262"}],"wp:attachment":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/media?parent=67245"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/categories?post=67245"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/tags?post=67245"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}