B_{11}

B_{11x}

\Delta B_{11}

B_{03}

B_{03x}

B_{02}

B_{02x}

B_{12x}

B_{12}

B00(x) = If[0 ≤ x ∧ x ≤ 1, 1, 0]
B10x(x) = If[1 ≤ x ∧ x ≤ 3, 1, 0]
B01x(x) = ((x - 0) / (1 - 0) * B00(x)) + ((3 - x) / (3 - 1) * B10x(x))
B11x(x) = ((x - 1) / (3 - 1) * B10x(x))
a = 3 (slider from 2 to 3, step 0.2)
B10(x) = If[1 ≤ x ∧ x ≤ a, 1, 0]
B20(x) = If[a ≤ x ∧ x ≤ 3, 1, 0]
B30(x) = If[3 ≤ x ∧ x ≤ 4, 1, 0]
B01(x) = ((x - 0) / (1 - 0) * B00(x)) + ((a - x) / (a - 1) * B10(x))
B11(x) = ((x - 1) / (a - 1) * B10(x)) + ((3 - x) / (3 - a) * B20(x))
B21(x) = ((x - a) / (3 - a) * B20(x)) + ((4 - x) / (4 - 3) * B30(x))
B02(x) = ((x - 0) / (a - 0) * B01(x)) + ((3 - x) / (3 - 1) * B11(x))
B12(x) = ((x - 1) / (3 - 1) * B11(x)) + ((4 - x) / (4 - a) * B21(x))
B03(x) = ((x - 0) / (3 - 0) * B02(x)) + ((4 - x) / (4 - 1) * B12(x))
B21x(x) = ((4 - x) / (4 - 3) * B30(x))
B12x(x) = ((x - 1) / (3 - 1) * B11x(x)) + ((4 - x) / (4 - 3) * B21x(x))
B02x(x) = ((x - 0) / (3 - 0) * B01x(x)) + ((3 - x) / (3 - 1) * B11x(x))
B03x(x) = ((x - 0) / (3 - 0) * B02x(x)) + ((4 - x) / (4 - 1) * B12x(x))
ΔB11(x) = B11(x) - B11x(x)
Q: (a, 0)
q: x = x(Q)
A = Intersect(B11, q, (2.8, 2))
B = Intersect(B11x, q, (3, 1))
C = Intersect(ΔB11, q, (2.8, 1.1))
D = Intersect(ΔB11, q, (2.8, 1.1))
f = Segment(A, B)
g = Segment(Q, C)
E = (0.19396444449063424, -0.1969643667537949)
F = (0.5995435729338024, -0.1969643667537949)
G = (0.9930158617219506, -0.20019325968272592)
H = (1.39859, -0.2)
I = (1.8041741186082867, -0.20342215261165697)
J = (2.2036998272239448, -0.20342215261165697)
K = (2.3974092617042637, -0.1969643667537949)
L = (2.802988390147432, -0.20019325968272592)
h = Segment(E, F)
i = Segment(H, I)
M: (3.20251, -0.2)
j = Segment(K, L)
k = Segment(F, G)
l = Segment(I, J)
m = Segment(L, M)
K1: (1, 0)
K2: (2, 0)
b: 0
K0: (0, 0)
K4: (4, 0)
K3: (3, 0)