均衡点

行列式与迹

矩阵行列式与迹的表达式

L₁(1,1)

Det

$[(W_{1} - W) - (T_{1} - T) - (P_{1} - P_{3})] \times [(A_{1} - A) + (P_{1} - P_{2}) + V_{1} - (R_{1} - R) - f S (h - 1)]$

$- [(W_{1} - W) - (T_{1} - T) - (P_{1} - P_{3})] - [(A_{1} - A) + (P_{1} - P_{2}) + V_{1} - (R_{1} - R) - f S (h - 1)]$

L₂(1,0)

Det

$P_{2} [(A_{1} - A) + (P_{1} - P_{2}) + V_{1} - (R_{1} - R) - f S (h - 1)]$

$P_{2} + [(A_{1} - A) + (P_{1} - P_{2}) + V_{1} - (R_{1} - R) - f S (h - 1)]$

L₃(0,1)

Det

$[(W_{1} - W) - (T_{1} - T) - (P_{1} - P_{3})] \times [- (P_{3} + V)]$

$[(W_{1} - W) - (T_{1} - T) - (P_{1} - P_{3})] - (P_{3} + V)$

L₄(0,0)

Det

$(- P_{2}) (P_{3} + V)$

$(- P_{2}) + (P_{3} + V)$

L₅(x₀,y₀)

Det

$\frac{P_{2} (P_{3} + V) [(A_{1} - A) + (P_{1} - P_{2}) + V_{1} - (R_{1} - R) - f S (h - 1)] \times [(W_{1} - W) - (T_{1} - T) - (P_{1} - P_{3})]}{[(A_{1} - A) + (P_{1} - P_{2} - P_{3}) + (V_{1} - V) - (R_{1} - R) - f S (h - 1)] \times [(W_{1} - W) - (T_{1} - T) - (P_{1} - P_{2} - P_{3})]}$