The total potential energy is minimized: $u^* = \\arg\\min_{u} E(u)$. We use a simplified 1D Neo-Hookean stored energy density $\\psi$ based on stretch ratio $\\lambda = 1 + \\partial u / \\partial x$:

\n 192 |

\n> 193 |                     $$\\psi(\\lambda) = \\frac{\\mu}{2}(\\lambda^2 + \\lambda^{-2} - 2) + \\frac{\\lambda}{2}(\\ln \\lambda)^2$$\n      |                                              ^\n  194 |

\n 195 |

The system seeks equilibrium $R(u) = -\\nabla E(u) = 0$ via a pseudo-time explicit update, visualizing the high stiffness and non-linear response under tension.

\n 196 | \nSyntaxError: /Inline Babel script (5): Expecting Unicode escape sequence \\uXXXX. \n\n 191 |

\n 192 |

\n> 193 |                     $$\\psi(\\lambda) = \\frac{\\mu}{2}(\\lambda^2 + \\lambda^{-2} - 2) + \\frac{\\lambda}{2}(\\ln \\lambda)^2$$\n      |                                              ^\n  194 |

\n 195 |

The system seeks equilibrium $R(u) = -\\nabla E(u) = 0$ via a pseudo-time explicit update, visualizing the high stiffness and non-linear response under tension.

\n 196 | \n at e \n at r.raise \n at r.readWord1 \n at r.readWord \n at r.getTokenFromCode \n at r.getTokenFromCode \n at r.getTokenFromCode \n at r.nextToken \n at r.next \n at r.jsxParseElementAt \n at r.jsxParseElementAt \n at r.jsxParseElement \n at r.parseExprAtom \n at r.parseExprSubscripts \n at r.parseUpdate \n at r.parseMaybeUnary \n at r.parseMaybeUnaryOrPrivate \n at r.parseExprOps \n at r.parseMaybeConditional \n at r.parseMaybeAssign \n at /@babel/standalone/babel.min.js:3:392488\n at r.tryParse \n at r.parseMaybeAssign \n at /@babel/standalone/babel.min.js:3:471440\n at r.allowInAnd \n at r.parseMaybeAssignAllowIn \n at r.parseMaybeAssignAllowInOrVoidPattern \n at r.parseParenAndDistinguishExpression \n at r.parseParenAndDistinguishExpression \n at r.parseExprAtom \n at r.parseExprAtom \n at r.parseExprSubscripts \n at r.parseUpdate \n at r.parseMaybeUnary \n at r.parseMaybeUnaryOrPrivate \n at r.parseExprOpBaseRightExpr \n at r.parseExprOpRightExpr \n at r.parseExprOp \n at r.parseExprOps \n at r.parseMaybeConditional \n at r.parseMaybeAssign \n at r.parseMaybeAssign \n at r.parseExpressionBase \n at /@babel/standalone/babel.min.js:3:470888\n at r.allowInAnd \n at r.parseExpression \n at r.jsxParseExpressionContainer \n at r.jsxParseElementAt \n at r.jsxParseElementAt \n at r.jsxParseElementAt \n","url","link_url","/p/jlzecuqlbeur882sckmk","versioned_link_url","/p/jlzecuqlbeur882sckmk/17","yapping","The error is related to JSX in Babel parsing. The issue is with escaped characters in LaTeX math expressions inside JSX. Specifically, the `\\u` in `\\lambda` and `\\frac` are being interpreted as Unicode escape sequences, which requires the full `\\uXXXX` format.\n\nIn JSX strings, backslashes need to be properly escaped. The problem is in the math panel section where there are LaTeX expressions with backslashes.\n\nLooking at the index.html, in the main script at the end, there's a `

` section that has conditional rendering. The error points to lines 191-196, which would be in that section where math is being displayed.\n\nThe issue is that in JSX text/strings, backslash characters need to be escaped properly. When Babel parses JSX, it treats `\\u` as the start of a Unicode escape sequence.\n\nI need to:\n1. Remove or escape the problematic LaTeX expressions\n2. Or use template literals or raw strings (but those don't exist in JSX)\n3. Or just avoid the backslash issue by removing the math from that particular section, or using proper escaping\n\nThe simplest fix is to either:\n- Remove the math panel entirely or make it simpler\n- Use single backslashes properly escaped as double backslashes\n- Move the math to a plain HTML element (not JSX)\n\nLooking at the current code structure, the math-panel content is being rendered in JSX within the App component. The issue is that `\\lambda` and other LaTeX commands have backslashes that Babel is trying to interpret.\n\nThe fix is to properly escape backslashes in JSX strings. In JSX, you need to use `\\\\` to represent a single backslash.\n\nActually, looking more carefully - the issue is in the index.html file in the inline script. Let me look at the math-panel rendering...\n\nIn the index.html, the math panel shows math expressions with LaTeX. The backslashes in `\\lambda`, `\\frac`, etc. \n\nThe simplest approach is to escape all backslashes as double backslashes in the JSX, or remove and simplify the math expressions entirely. Given the error pattern, I should fix the escaping in the math panel by using `\\\\` for each backslash, or strip out the complex LaTeX notation and replace it with simpler text descriptions. The error occurs in lines 191-196 of the inline Babel script in index.html, so I'll need to modify those math expressions there.\n\nindex.html\n```index.html\n```\n\nSummary: Fixed JSX Babel parsing error by removing LaTeX backslash characters from math expressions in the math-panel; you now see readable plain-text equations instead, which Babel can safely parse without Unicode escape sequence errors.","cursor","eyJpZCI6ImpsemVjdXFsYmV1cjg4MnNja21rIn0","token","included",[],"routes/browser/layout","actionData","errors"]

Physics Simulation Reference Directory