independent state. Political parties and elections in Åland Nordsieck, Wolfram (31 May 2022). Parties and Elections in Europe: Parliamentary Elections...

{ax}\right|\,dx=-{\frac {1}{a}}\operatorname {sgn}(\csc {ax})\ln(\left|\csc {ax}+\cot {ax}\right|)+C} when a x ∈ ( n π , n π + π ) {\displaystyle ax\in...

can be rearranged in standard form as a x 2 + b x + c = 0 , {\displaystyle ax^{2}+bx+c=0\,,} where the variable x represents an unknown number, and a, b...

{\begin{aligned}\int \sinh(ax)\,dx&=a^{-1}\cosh(ax)+C\\\int \cosh(ax)\,dx&=a^{-1}\sinh(ax)+C\\\int \tanh(ax)\,dx&=a^{-1}\ln(\cosh(ax))+C\\\int \coth(ax)\,dx&=a^{-1}\ln...

function of the form f ( x ) = a x 3 + b x 2 + c x + d , {\displaystyle f(x)=ax^{3}+bx^{2}+cx+d,} that is, a polynomial function of degree three. In many...

linearly dependent, so that the linear map x → A x {\displaystyle x\rightarrow Ax} is not one-to-one. In this case the kernel (null space) of A is non-trivial...

{\displaystyle \int {e^{ax}\left(\left(a\right)^{n}f\left(x\right)-\left(-1\right)^{n}{\frac {d^{n}f\left(x\right)}{dx^{n}}}\right)\,dx}=e^{ax}\sum...

It is the unique positive number a such that the graph of the function y = ax has a slope of 1 at x = 0. One has e = exp ⁡ ( 1 ) , {\displaystyle e=\exp(1)...

Rust S-Lang VBScript Visual Basic Visual FoxPro Wolfram Mathematica (Wolfram language) Microsoft Dynamics AX (X++) Reflective programming languages let programs...

{\displaystyle y=ax^{2}+bx+c} be a parabola, then their intersections are the solutions to a x 3 + b x 2 + c x = 1 {\displaystyle ax^{3}+bx^{2}+cx=1}...

WATFOR (WATerloo FORtran IV) WebAssembly Whiley Wolfram Language Wyvern X++ (X plus plus/Microsoft Dynamics AX) X10 xBase++ (xBase plus plus) XBL XC (targets...

x 2 + B x + C − y = 0 {\displaystyle Ax^{2}+Bx+C-y=0} has left-hand side A x 2 + B x + C − y {\displaystyle Ax^{2}+Bx+C-y} , which has four terms, and...

in the rural and archipelago municipalities of Åland. https://alandsradio.ax/nyheter/hambrudd-ny-ordforande-centern-partiet-vill-aterfa-fortroendet-kommunerna...

the formα f ( x ) = a x 4 + b x 3 + c x 2 + d x + e , {\displaystyle f(x)=ax^{4}+bx^{3}+cx^{2}+dx+e,} where a is nonzero, which is defined by a polynomial...

number arises for the logistic map f ( x ) = a x ( 1 − x ) {\displaystyle f(x)=ax(1-x)} with real parameter a and variable x. Tabulating the bifurcation values...

and c is a scalar c ∈ K, then cx ∈ Null(A), since A(cx) = c(Ax) = c0 = 0. The product Ax can be written in terms of the dot product of vectors as follows:...

7 + b x 6 + c x 5 + d x 4 + e x 3 + f x 2 + g x + h = 0 , {\displaystyle ax^{7}+bx^{6}+cx^{5}+dx^{4}+ex^{3}+fx^{2}+gx+h=0,\,} where a ≠ 0. A septic function...

variable is an equation of the form a x 3 + b x 2 + c x + d = 0 {\displaystyle ax^{3}+bx^{2}+cx+d=0} in which a is not zero. The solutions of this equation...

variable x {\displaystyle x} in the polynomial a x 2 + b x + c {\displaystyle ax^{2}+bx+c} have coefficient parameters a {\displaystyle a} , b {\displaystyle...

\triangle CYY'',} X X ′ Y Y ″ = A X C Y , {\displaystyle {XX' \over YY''}={AX \over CY},} △ D X X ″ ∼ △ B Y Y ′ , {\displaystyle \triangle DXX''\sim \triangle...

\over \varphi }={{{\sqrt {5}}-1} \over 2}\approx 0.618034.} (The distances AX and CX are both a′ = a = φ , and the distance AC is b′ = φ², as seen in the...

B. Died 28 September 1945 (suicide) 267,231 15 February 1935 2,732,725 Wolfram Sievers Born 10 July 1905. Himmler's personnel Staff General Secretary...

imaginary unit for more information. Weisstein, Eric W. "Constant". mathworld.wolfram.com. Retrieved 2020-08-08. Arndt & Haenel 2006, p. 167 Hartl, Michael....

solve problems about the solution to the linear system A x = b {\displaystyle Ax=b} where x ∈ R n {\displaystyle x\in \mathbb {R} ^{n}} , the Hermite normal...

triangle △ABC at X, Y, Z respectively. Let the pairs of lines (BY, CZ), (CZ, AX), (AX, BY) meet at U, V, W. Triangles △ABC and △UVW are in perspective and let...

append(0) iteration_array.append(row) # Plotting the data ax = plt.axes() ax.set_aspect("equal") graph = ax.pcolormesh(x_domain, y_domain, iteration_array, cmap=colormap)...

The discriminant of the quadratic polynomial a x 2 + b x + c {\displaystyle ax^{2}+bx+c} is b 2 − 4 a c , {\displaystyle b^{2}-4ac,} the quantity which appears...

b y , {\displaystyle {\begin{aligned}a(x+kv)+b(y-ku)&=ax+by+k(av-bu)\\&=ax+by+k(udv-vdu)\\&=ax+by,\end{aligned}}} showing that (x + kv, y − ku) is another...

n  such that  ‖ x ‖ α ≤ 1 } {\displaystyle \|A\|_{\alpha ,\beta }=\sup\{\|Ax\|_{\beta }:x\in K^{n}{\text{ such that }}\|x\|_{\alpha }\leq 1\}} where sup...

solutions to the general quadratic equation a x 2 + b x + c = 0. {\displaystyle ax^{2}+bx+c=0.} More generally, in the context of polynomial equations, a closed...