User:Dude1818/WikiContest

Your goal in this WikiContest is to find out if there are any zeros of the equation Y₉, and if so, what they are. Images of the graphs are coming soon. If you have any questions or want more information, please post under the Talk section.

Special information

• OR is the logical disjunction, giving a result of either 0 or 1.
• iPart refers to the integer part of a number. For example, in the number 14.673, the iPart is 14.
• fPart refers to the fractional part of a number. For example, in the number 14.673, the fPart is 0.673.
• poissoncdf is the cumulative distribution function of the Poisson distribution.
• tcdf is the cumulative distribution function of Student's t-distribution.
• normalpdf is the Gaussian probability density function.
• angle is the polar angle of a complex number.

Equation list

• Y₁ = ^2Y₄/_{Y7+Y3e^{-0.2iPart(5sin(x2)+3sin(x(Y2≥Y8)))}}
• Y₂ = Y₇(0.5x³-x²-2x+normalpdf(x,x,x)+0.8)
• Y₃ = (^{angle(x)+10.76}/_{Y7+11.09e^-0.547x})-8.1
• Y₄ = (cos(x(fPart(Y₃-√(Y₃ OR x≠Y₈)+2)≤5)))²+0.11
• Y₅ = (Y₁<Y₈)+(Y₁≥0.9)+2
• Y₆ = Y₁+Y₇+Y₈-Y₅+^x√(x)
• Y₇ = e^10-x-1-e-0.0015
• Y₈ = π(tcdf(0,25,x)-0.5)
• Y₉ = (-poissoncdf(x,x)+1.61)Y₆+א²pdf(x,1)+Y₈

TeX versions

${\begin{cases}Y_{1}={\dfrac {2Y_{4}}{Y_{7}+Y_{3}e^{-0.2{\text{iPart}}(5\sin(x^{2})+3\sin(x(Y_{2}\geq Y_{8})))}}}\\Y_{2}=Y_{7}(0.5x^{3}-x^{2}-2x+{\text{normalpdf}}(x,x,x)+0.8)\\Y_{3}=\left({\dfrac {{\text{angle}}(x)+10.76}{Y_{7}+11.09e^{-0.547x}}}\right)-8.1\\Y_{4}=(\cos(x({\text{fPart}}(Y_{3}-{\sqrt {(Y_{3}\lor x\neq Y_{8})}}+2)\leq 5)))^{2}+0.11\\Y_{5}=(Y_{1}<Y_{8})+(Y_{1}\geq 0.9)+2\\Y_{6}=Y_{1}+Y_{7}+Y_{8}-Y_{5}+{\sqrt[{x}]{x}}\\Y_{7}=e^{10^{-x^{-1}-e}}-0.0015\\Y_{8}=\prod ({\text{tcdf}}(0,25,x)-0.5)\\Y_{9}=(-{\text{poissoncdf}}(x,x)+1.61)Y_{6}+\aleph ^{2}{\text{pdf}}(x,1)+Y_{8}\end{cases}}$

Scoring

Any information that you discover can be posted on the Talk page. Points are only given to the first person to discover the information, so remember to sign your comments. Each piece of information shall scored according to the following list. Points are awarded for:

• Finding zeros of equation Y₉: 12 points per zero.
• Showing that equation Y₉ does not have any zeros: 8 points.
• Finding zeros of equations Y_1-8: 8 points per zero.
• Showing that equations Y_1-8 do not have zeros: 5 points per equation.
• Finding x values that have undefined y values: 5 points per x value.
• Finding (x,y) coordinates of local maxima and minima of equations Y_TBA: 3 points per (x,y) coordinate.