Uncle Block Attack Analyzer		Simeon Wuthier Sang-Yoon Chang

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	Define =

Presets

Equation 1 barR_"honest" = α Equation 2 barR_"BWH" = ((1-τ)*α)/(1-τ*α)+(τ*α)/(β+τ*α)*β/(1-τ*α) Equation 3 barR_"FAW" = ((1-τ)*α)/(1-τ*α)+(τ*α)/(β+τ*α)*(β/(1-τ*α)+c*τ*α*(1-α-β)/(1-τ*α)) Equation 4 barR_"UBA" = ((1-τ)*α)/(1-τ*α)+(τ*α)/(β+τ*α)*(κ*(τ*α)^2/(β+τ*α)*((1-τ)*α)/(1-τ*α)+(1+κ*τ*α)*β/(1-τ*α)+[c+(1-c)*κ]*τ*α*(1-α-β)/(1-τ*α)) Equation 5 barR_"UBA" = ((1-τ)*α)/(1-τ*α)+(τ*α)/(β+τ*α)*(κ*(τ*α)^2/(β+τ*α)*((1-τ)*α)/(1-τ*α)+(1+κ*τ*α)*β/(1-τ*α)+κ*τ*α*(1-α-β)/(1-τ*α)) Equation 6 Γ_"SWH" = sum_(y=1)^∞[sum_(x=1)^y[x/(x+(y-x)/d)*(α'^x*β^(y-x))/(α'+β)^y*(γ-1)^(y-1)/γ^y]] y-choose-x = sum_(y=0)^∞[sum_(x=0)^y[(y!)/(x!*(y-x))]] Equation 8 Γ_"SWH" = (α'*d)/(α'*d+β) Equation 9 barR_"SWH-FAW" = ((1-τ)*α)/(1-τ*α)+((α'*d)/(α'*d+β))*(c'*β/(1-τ*α)+c*τ*α*(1-α-β)/(1-τ*α)) Equation 10 barR_"SWH-UBA" = ((1-τ)*α)/(1-τ*α)+((α'*d)/(α'*d+β))*(κ*(τ*α)^2/(β+τ*α)*((1-τ)*α)/(1-τ*α)+c'*β/(1-τ*α)+[c+(1-c)*κ]*τ*α*(1-α-β)/(1-τ*α)) Equation 11 barR_"SWH-UBA" = ((1-τ)*α)/(1-τ*α)+((α'*d)/(α'*d+β))*(κ*(τ*α)^2/(β+τ*α)*((1-τ)*α)/(1-τ*α)+c'*β/(1-τ*α)+κ*τ*α*(1-α-β)/(1-τ*α)) ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ Examples of usage: = sum_(i=0)^(1)[sum_(j=2)^(3)[i*j]] = (b+Math.sqrt(b^2-4*a*c))/(2*a) = Math.sin((6*value)/(per))/(10*amp)+0.5 = Math.sqrt(x)*x^0.5

Equation

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Simplify	Expand	Factor	Solve for:	at `R_A` =

Derivative with respect to:	Integral with respect to:

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	Enforce α + β = 1		Compare to linear		Display maximum		Freeze graph

Reset
R =

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Variable to Analyze (with all others remaining constant):

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Calculate maximum and minimum for specified variable

From:		To:		Precision:

Max:		=			~		Reward =
Min:		=			~		Reward =
Root:		=			~		Reward =

Calculate root for specified variable

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Dual Grapher

	X Axis		Y Axis			Generate

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