The equation environment can be incredibly useful if you want to typeset single equations in your LaTeX document. For multiple equations, the aligned environment tends to be more helpful.<\/p>\n\n\n\n
\n\\documentclass{article}\n\\usepackage{amsmath}\n\\begin{document}\n\\begin{equation*}\n 3 + 4 = 7 \n\\end{equation*}\n\\begin{equation*}\n 4 = 7 - 3\n\\end{equation*}\n\\begin{align*}\n 4 + 2 &= 6\\\\\n 4 &= 8 - 4\n\\end{align*}\n\\end{document}\n\n<\/pre><\/div>\n\n\nThe \u201c&<\/em>\u201d symbol in the align section of the above code helps align the equations 4 + 2 =6<\/em> and 4 = 8 – 4<\/em> so that their \u201c=\u201d signs are under one another. <\/p>\n\n\n\nThe 3+4 = 7<\/em> and 4 = 7 -3<\/em> equations above are created using a simple equation environment. Therefore they won\u2019t be aligned. <\/p>\n\n\n\nYou should also note that you cannot put more than one equation between the \\begin{equation*} <\/em>and \\end{equation*}<\/em> commands mentioned above. Attempting to add multiple equations enclosed by these commands will result in an error. This isn\u2019t an issue with the align section, as you can see two equations are fit between \\begin{align*} <\/em>and \\end{align*}<\/em>.<\/p>\n\n\n\nNote that the asterix \u201c*\u201d in the commands above aren\u2019t necessary, and are only present to prevent the equations mentioned from being numbered.<\/p>\n\n\n\n
<\/span>Adding Fractions and Integrals in LaTe<\/span><\/h2>\n\n\n\nAs mentioned earlier, LaTeX is popular with mathematicians and scientists because it allows you to insert most types of mathematical notation. This includes fractions, integrals, and much more.<\/p>\n\n\n\n
Earlier we demonstrated how you can show \u201cx\u201d raised to the power 3 using the code f(x) &= x^3\\\\<\/em>. <\/p>\n\n\n\nIf you wanted to show the equation g(x) = 1\/y<\/em>, your code should follow the format of g(x) &= \\frac{1}{y}\\\\<\/em>.<\/p>\n\n\n\nIf you wanted to show an integral of (\u00bd)x<\/em> raised to the power 2 with limits a <\/em>and b<\/em>, the code would resemble F(x) &= \\int^a_b \\frac{1}{2}x^2<\/em><\/p>\n\n\n\nYou can also combine different types of code to create complex formulas and expressions. For example: \\frac{1}{\\sqrt{y}}<\/em>. You should remember to keep track of the closing braces {}<\/em> for each of your expressions, as failing to do so will produce errors.<\/p>\n\n\n\n<\/span>Adding Binomials in LaTeX<\/span><\/h3>\n\n\n\nBinomials are another useful LaTeX equations and math expression you can add to your documents. We can include both fractions and binomials in an expression using the following code:<\/p>\n\n\n
\ndocumentclass{article}\n\\usepackage[utf8]{inputenc}\n\\usepackage{amsmath}\n\\begin{document}\n\\[\n \\binom{m}{j} = \\frac{m!}{j!(m-j)!}\n\\]\n\\end{document}\n\n<\/pre><\/div>\n\n\n<\/span>Adding Matrices in LaTeX<\/span><\/h2>\n\n\n\nYou can also add matrices in addition to other Latex equations and math formulas. This is accomplished using the commands \\begin{matrix}<\/em> and \\end{matrix}<\/em>. For example:<\/p>\n\n\n\n\\begin{matrix}\n2 & 0\\\\\n0 & 2\n\\end{matrix}\n\n<\/pre><\/div>\n\n\nThe above code will produce a 2 x 2 matrix that is aligned thanks to the inclusion of the \u201c&<\/em>\u201d.<\/p>\n\n\n\n<\/span>Matrices with Brackets in LaTeX<\/span><\/h3>\n\n\n\nIn some cases, you may need to add brackets around your matrices. This usually occurs when you have to include special statements. You should note that simply adding the symbols []<\/em> to your code won\u2019t cause the brackets to scale as your matrix grows. For example:<\/p>\n\n\n\n[\n\\begin{matrix}\n2 & 0\\\\\n0 & 0\n\\end{matrix}\n]\n\n<\/pre><\/div>\n\n\nThe above code will produce a matrix where the bracket remains the same size as the digits and doesn\u2019t extend to the top and bottom of the rows. To adjust the brackets to the correct size, you will need to use a special code modifier. We demonstrate this in the following example:<\/p>\n\n\n
\n\\left[\n\\begin{matrix}\n1 & 0\\\\\n0 & 1\n\\end{matrix}\n\\right]\n\n<\/pre><\/div>\n\n\nNote the addition of \\left<\/em> and \\right<\/em> before the brackets at the start and end of the expression. This technique can be used for brackets in many types of LaTeX equations and math, and isn\u2019t just limited to matrices.<\/p>\n\n\n\n<\/span>Changing Bracket Size in LaTeX<\/span><\/h2>\n\n\n\nIt is also possible to adjust the size of different brackets in LaTeX. The code changing brackets from small to large are shown below:<\/p>\n\n\n\n
\u201c(\u201c brackets: \\big( \\Big( \\bigg( \\Bigg( <\/em><\/li>\u201c]\u201c brackets: \\big] \\Big] \\bigg] \\Bigg]<\/em><\/li>\u201c{\u201c brackets: \\big{ \\Big{ \\bigg{ \\Bigg{ <\/em><\/li>\u201c<\u201d brackets: \\big \\langle \\Big \\langle \\bigg \\langle \\Bigg \\langle <\/em><\/li>\u201c>\u201d brackets: \\big \\rangle \\Big \\rangle \\bigg \\rangle \\Bigg \\rangle <\/em><\/li><\/ul>\n\n\n\n<\/p>\n\n\n\n
<\/span>Final Thoughts<\/span><\/h2>\n\n\n\nAs you can see, LaTeX offers many ways to add and display mathematical expressions and formulas. You can insert some very complex equations into LaTeX by using a combination of the commands mentioned above. Just remember the correct and complete syntax for each expression or you may end up running into errors. So try adding some professional-looking equations and expressions into your next LaTeX document.<\/p>\n\n\n\n