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diff --git a/html/encyclopedia/mathematics.html b/html/encyclopedia/mathematics.html index 2e079a5..a7001bb 100644 --- a/html/encyclopedia/mathematics.html +++ b/html/encyclopedia/mathematics.html @@ -15,7 +15,7 @@ <p class="math">\(z - y = x\)</p> <p class="math">\(z - x = y\)</p> <br /> - <p class="math">\(x y = z\)</p> + <p class="math">\(xy = z\)</p> <p class="math">\(\frac{z}{y} = x\)</p> <p class="math">\(\frac{z}{x} = y\)</p> <br /> @@ -27,27 +27,27 @@ <p class="math">\(x ^ 0 = 1\)</p> <p class="math">\(x ^ {\frac{a}{b}} = \sqrt[b]{x ^ a}\)</p> <br /> - <p class="math">\(\frac{x}{y} = x \cdot \frac{1}{y}\)</p> + <p class="math">\(\frac{x}{y} = x\frac{1}{y}\)</p> <p class="math">\(\frac{x}{y} + n = \frac{x + n y}{y}\)</p> - <p class="math">\(\frac{x}{y} + \frac{a}{b} = \frac{x b + a y}{y b}\)</p> - <p class="math">\(\frac{x}{y} n = \frac{x n}{y}\)</p> - <p class="math">\(\frac{x}{y} \frac{a}{b} = \frac{x a}{y b}\)</p> + <p class="math">\(\frac{x}{y} + \frac{a}{b} = \frac{x b + ay}{yb}\)</p> + <p class="math">\(\frac{x}{y}n = \frac{xn}{y}\)</p> + <p class="math">\(\frac{x}{y}\frac{a}{b} = \frac{x a}{y b}\)</p> <p class="math">\(\frac{x}{\frac{a}{b}} = \frac{xb}{a}\)</p> <p class="math">\(\frac{\frac{x}{y}}{z} = \frac{x}{yz}\)</p> - <p class="math">\(\frac{\frac{x}{y}}{\frac{a}{b}} = \frac{x b}{y a}\)</p> + <p class="math">\(\frac{\frac{x}{y}}{\frac{a}{b}} = \frac{xb}{ya}\)</p> <br /> - <p class="math">\(x ^ a x ^ b = x ^ {a + b}\)</p> + <p class="math">\(x ^ ax ^ b = x ^ {a + b}\)</p> <p class="math">\(\frac{x ^ a}{x ^ b} = x ^ {a - b}\)</p> - <p class="math">\(x ^ a y ^ a = (x y) ^ a\)</p> + <p class="math">\(x ^ ay ^ a = (xy) ^ a\)</p> <p class="math">\(\frac{x ^ a}{y ^ a} = (\frac{x}{y}) ^ a\)</p> - <p class="math">\((x ^ a) ^ b = x ^ {a b}\)</p> + <p class="math">\((x ^ a) ^ b = x ^ {ab}\)</p> </div> <div class="section" id="equations"> <p class="large">Ligninger</p> <p>Andengrads:</p> - <p class="math">\(y = a x ^ 2 + b x + c\)</p> + <p class="math">\(y = ax ^ 2 + bx + c\)</p> <p class="math">\(x = \frac{-b \pm \sqrt[2]{d}}{2a}\)</p> - <p class="math">\(d = b ^ 2 - 4 a c\)</p> + <p class="math">\(d = b ^ 2 - 4ac\)</p> </div> <div class="section" id="functions"> <p class="large">Funktioner</p> @@ -55,25 +55,25 @@ <p class="math">\(x = f ^ {-1}(y)\)</p> <br /> <p>Lineær:</p> - <p class="math">\(f(x) = a x + b\)</p> + <p class="math">\(f(x) = ax + b\)</p> <p class="math">\(a = \frac{y_1 - y_0}{x_1 - x_0}\)</p> <p class="math">\(b = y - ax\)</p> - <p class="math">\(b = f(0) = 0a + b\)</p> + <p class="math">\(b = f(0)\)</p> <br /> <p>Eksponentiel:</p> - <p class="math">\(f(x) = b a ^ x\)</p> + <p class="math">\(f(x) = ba ^ x\)</p> <p class="math">\(a = \sqrt[x_1 - x_0]{\frac{y_1}{y_{0}}}\)</p> <p class="math">\(b = \frac{y}{a ^ x}\)</p> - <p class="math">\(b = f(0) = b a ^ 0 = 1b\)</p> + <p class="math">\(b = f(0)\)</p> <br /> <p>Potens:</p> - <p class="math">\(f(x) = b x ^ a\)</p> + <p class="math">\(f(x) = bx ^ a\)</p> <p class="math">\(a = \frac{log_n(y_1) - log_n(y_0)}{log_n(x_1) - log_n(x_1)}\)</p> <p class="math">\(b = \frac{y}{x ^ a}\)</p> - <p class="math">\(b = f(1) = b \cdot 1 ^ a = 1b\)</p> + <p class="math">\(b = f(1)\)</p> <br /> <p>Kvadratisk (andengrads):</p> - <p class="math">\(f(x) = a x ^ 2 + b x + c\)</p> + <p class="math">\(f(x) = ax ^ 2 + bx + c\)</p> </div> <div class="section" id="trigonometry"> <p class="large">Trigonometri</p> @@ -109,11 +109,11 @@ <p class="math">\(arcsec = sec ^ {-1}\)</p> <p class="math">\(arccsc = csc ^ {-1}\)</p> <br /> - <p class="math">\(deg(rad) = \frac{rad \cdot \pi}{180}\)</p> - <p class="math">\(rad(deg) = \frac{deg \cdot 180}{\pi}\)</p> + <p class="math">\(deg(rad) = \frac{rad\pi}{180}\)</p> + <p class="math">\(rad(deg) = \frac{deg180}{\pi}\)</p> <br /> - <p class="math">\(vinkelsum(x) = \pi(x - 2)\)</p> - <p class="math">\(vinkelsum(3) = \pi(3 - 2) = \pi\)</p> + <p class="math">\(vinkelsum(x) = (x - 2)\pi\)</p> + <p class="math">\(vinkelsum(3) = (3 - 2)\pi = \pi\)</p> <br /> <p class="math">\(\angle A = sin ^ {-1} (\frac{a}{c}) = cos ^ {-1} (\frac{b}{c}) = tan ^ {-1} (\frac{a}{b}) = vinkelsum(3) - \angle B - \angle C\)</p> <p class="math">\(\angle B = sin ^ {-1} (\frac{b}{c}) = cos ^ {-1} (\frac{a}{c}) = tan ^ {-1} (\frac{b}{a}) = vinkelsum(3) - \angle A - \angle C\)</p> |