NCERT-Class-10-Science

  • ALWAYS use double dollar sign </code>delimitersforALLmathematicalexpressions,equations,variables,andnumericanswers(e.g.,<code></code> delimiters for ALL mathematical expressions, equations, variables, and numeric answers (e.g., <code>\int_0^1 x^2\,dx</code>).NEVERusesingledollarsigns.</p></li><li><p>Ensureallfunctions(trigonometricorotherwise)useexplicitparentheses(e.g.,<code></code>). NEVER use single dollar signs.</p></li><li><p>Ensure all functions (trigonometric or otherwise) use explicit parentheses (e.g., <code>\tan(x)</code>,<code></code>, <code>\sin(x)</code>,<code></code>, <code>\cos(x)</code>,<code></code>, <code>\frac{1}{x+1}</code>).</p></li><li><p>Use<code>×</code>formultiplicationinscientificnotation(e.g.,<code></code>).</p></li><li><p>Use <code>\times</code> for multiplication in scientific notation (e.g., <code>6.02 \times 10^{23}</code>).Neveruse<code>∗</code>forscientificnotation.</p></li><li><p>Usethinspaces<code> </code>toseparatenumbersfromunits(e.g.,<code></code>). Never use <code>*</code> for scientific notation.</p></li><li><p>Use thin spaces <code>\,</code> to separate numbers from units (e.g., <code>9.8\,m/s^2</code>,<code></code>, <code>kJ\,mol^{-1}</code>).</p></li><li><p>Use<code></code>forfractions,<code></code>forsquareroots,andproperLaTeXcommandsforalloperators.</p></li><li><p>Forpiecewisefunctions,use<code>{...</code>with<code></code>toseparatelines.</p></li><li><p>Use<code></code>forliteraltextwithinmathmode(e.g.,<code></code>).</p></li><li><p>Use <code>\frac{}{}</code> for fractions, <code>\sqrt{}</code> for square roots, and proper LaTeX commands for all operators.</p></li><li><p>For piecewise functions, use <code>\begin{cases}...\end{cases}</code> with <code>\\</code> to separate lines.</p></li><li><p>Use <code>\text{}</code> for literal text within math mode (e.g., <code>\text{m/s}</code>).</p></li><li><p>Usestandardnotationforprobabilityandstatistics:<code></code>).</p></li><li><p>Use standard notation for probability and statistics: <code>X \sim N(\mu, \sigma^2)</code>,<code></code>, <code>P(A|B)</code>,<code></code>, <code>\binom{n}{r}</code>.</p></li><li><p>Use<code></code>forvectorsand<code>(...)</code>forcolumnvectors.</p></li><li><p>Use<code>ln⁡</code>fornaturallogarithm,<code>ex</code>forexponentials,andproperGreekletters(μ,σ,α,etc.).</p></li><li><p>NEVERplacemarkdownformattingaroundorinsideLaTeXexpressions(no<code>∗∗</code>.</p></li><li><p>Use <code>\mathbf{}</code> for vectors and <code>\begin{pmatrix}...\end{pmatrix}</code> for column vectors.</p></li><li><p>Use <code>\ln</code> for natural logarithm, <code>e^x</code> for exponentials, and proper Greek letters (\mu, \sigma, \alpha, etc.).</p></li><li><p>NEVER place markdown formatting around or inside LaTeX expressions (no <code>**x∗∗</code>,no<code>∗**</code>, no <code>*x∗</code>—just<code>*</code> — just <code>x</code>).</p></li><li><p>NEVERuse<code></code>or<code></code>insideaLaTeXblock—eachequationmustbeitsownseparate<code></code>).</p></li><li><p>NEVER use <code>\\</code> or <code>\newline</code> inside a LaTeX block — each equation must be its own separate <code>...</code>blockonasingleline.</p></li><li><p>NEVERuseem−dashes(—)insideLaTeXexpressions.</p></li></ul><p><strong>ChemistryLaTeXFormatting(ifneeded):</strong></p><ul><li><p>Use<code>→</code>forreactionarrows(e.g.,<code></code> block on a single line.</p></li><li><p>NEVER use em-dashes (—) inside LaTeX expressions.</p></li></ul><p><strong>Chemistry LaTeX Formatting (if needed):</strong></p><ul><li><p>Use <code>\rightarrow</code> for reaction arrows (e.g., <code>Mg + 2HCl \rightarrow MgCl_2 + H_2</code>).</p></li><li><p>Use<code>⇌</code>forequilibriumarrows(e.g.,<code></code>).</p></li><li><p>Use <code>\rightleftharpoons</code> for equilibrium arrows (e.g., <code>N_2 + 3H_2 \rightleftharpoons 2NH_3</code>).</p></li><li><p>Usepropersubscriptsforchemicalformulas(e.g.,<code></code>).</p></li><li><p>Use proper subscripts for chemical formulas (e.g., <code>H_2SO_4</code>,<code></code>, <code>CO_2</code>,<code></code>, <code>MgCl_2</code>).</p></li><li><p>Usestatesymbolsassubscripttext:<code></code>).</p></li><li><p>Use state symbols as subscript text: <code>(s)</code>,<code></code>, <code>(l)</code>,<code></code>, <code>(g)</code>,<code></code>, <code>(aq)</code>.</p></li><li><p>Use<code></code>.</p></li><li><p>Use <code>dm^3</code>and<code></code> and <code>cm^3</code>forvolumes(neverLitersormL).</p></li><li><p>Usethinspaceswithnegativeexponentsforallunits(e.g.,<code></code> for volumes (never Liters or mL).</p></li><li><p>Use thin spaces with negative exponents for all units (e.g., <code>kJ\,mol^{-1}</code>,<code></code>, <code>mol\,dm^{-3}</code>,<code></code>, <code>g\,mol^{-1}$$).