1

2

3

Función

Periodo

Función en [0,1]

Vista frontal

4

l

Ejes

Ejemplos: 

Función extendida periódicamente

A12 = 11
A11 = 10
J12: A12 / 19
T = 2
A8 = 7
A1: 0
A2: 1
A3 = 2
A4 = 3
A5 = 4
A6 = 5
A7 = 6
A9 = 8
A10 = 9
B1: ((2 * A1) * pi / T)
B2: ((2 * A2) * pi / T)
B3: ((2 * A3) * pi / T)
B4: ((2 * A4) * pi / T)
B5: ((2 * A5) * pi / T)
B6: ((2 * A6) * pi / T)
B7: ((2 * A7) * pi / T)
B8: ((2 * A8) * pi / T)
B9: ((2 * A9) * pi / T)
B10: ((2 * A10) * pi / T)
B11: ((2 * A11) * pi / T)
f(x) = If[x < 2 / 2, 1, -1]
f_p(x) = f((T * (x / T - floor(x / T))))
C2: (2 / T * Integral[(f_p(x) * cos((B2 * x))), 0, T])
f_2(x) = x - 1
D2: (2 / T * Integral[(f_p(x) * sin((B2 * x))), 0, T])
D11: (2 / T * Integral[(f_p(x) * sin((B11 * x))), 0, T])
C10: (2 / T * Integral[(f_p(x) * cos((B10 * x))), 0, T])
D10: (2 / T * Integral[(f_p(x) * sin((B10 * x))), 0, T])
C9: (2 / T * Integral[(f_p(x) * cos((B9 * x))), 0, T])
D9: (2 / T * Integral[(f_p(x) * sin((B9 * x))), 0, T])
C8: (2 / T * Integral[(f_p(x) * cos((B8 * x))), 0, T])
D8: (2 / T * Integral[(f_p(x) * sin((B8 * x))), 0, T])
C7: (2 / T * Integral[(f_p(x) * cos((B7 * x))), 0, T])
D7: (2 / T * Integral[(f_p(x) * sin((B7 * x))), 0, T])
C6: (2 / T * Integral[(f_p(x) * cos((B6 * x))), 0, T])
D6: (2 / T * Integral[(f_p(x) * sin((B6 * x))), 0, T])
C5: (2 / T * Integral[(f_p(x) * cos((B5 * x))), 0, T])
D5: (2 / T * Integral[(f_p(x) * sin((B5 * x))), 0, T])
C4: (2 / T * Integral[(f_p(x) * cos((B4 * x))), 0, T])
D4: (2 / T * Integral[(f_p(x) * sin((B4 * x))), 0, T])
C3: (2 / T * Integral[(f_p(x) * cos((B3 * x))), 0, T])
D3: (2 / T * Integral[(f_p(x) * sin((B3 * x))), 0, T])
D1: (2 / T * Integral[(f_p(x) * sin((B1 * x))), 0, T])
C1: (2 / T * Integral[(f_p(x) * cos((B1 * x))), 0, T])
E1(x) = ((C1 * cos((B1 * x))) + (D1 * sin((B1 * x)))) / 2
E3(x) = (C3 * cos((B3 * x))) + (D3 * sin((B3 * x)))
E4(x) = (C4 * cos((B4 * x))) + (D4 * sin((B4 * x)))
E5(x) = (C5 * cos((B5 * x))) + (D5 * sin((B5 * x)))
E6(x) = (C6 * cos((B6 * x))) + (D6 * sin((B6 * x)))
E7(x) = (C7 * cos((B7 * x))) + (D7 * sin((B7 * x)))
E8(x) = (C8 * cos((B8 * x))) + (D8 * sin((B8 * x)))
E9(x) = (C9 * cos((B9 * x))) + (D9 * sin((B9 * x)))
E10(x) = (C10 * cos((B10 * x))) + (D10 * sin((B10 * x)))
C11: (2 / T * Integral[(f_p(x) * cos((B11 * x))), 0, T])
E11(x) = (C11 * cos((B11 * x))) + (D11 * sin((B11 * x)))
E2(x) = (C2 * cos((B2 * x))) + (D2 * sin((B2 * x)))
F1(x) = E1(x)
F2(x) = F1(x) + E2(x)
F3(x) = F2(x) + E3(x)
F4(x) = F3(x) + E4(x)
F5(x) = F4(x) + E5(x)
F6(x) = F5(x) + E6(x)
F7(x) = F6(x) + E7(x)
F8(x) = F7(x) + E8(x)
F9(x) = F8(x) + E9(x)
F10(x) = F9(x) + E10(x)
F11(x) = F10(x) + E11(x)
F21(x) = 0
F22(x) = 0
Términos = false
Serie = false
f_3(x) = (x - 1)^(2)
CasillaDeEntrada1 = Textfield(f)
CasillaDeEntrada2 = Textfield(T)
n = 0 (slider from 0 to 20, step 1)
Función = true
f_1(x) = If[x < T / 2, 1, -1]
a = true
texto1: "f(x)=" + (LaTeX[f]) + ""
f_4(x) = If[x < 1, x - 0.5, (-x) + 1.5]
J1: A1 / 19
J2: A2 / 19
J3: A3 / 19
J4: A4 / 19
J5: A5 / 19
J11: A11 / 19
I1: 1 - J1
K1: 0
J6: A6 / 19
J7: A7 / 19
I7: 1 - J7
K7: 0
J8: A8 / 19
I8: 1 - J8
K8: 0
J9: A9 / 19
I9: 1 - J9
K9: 0
J10: A10 / 19
I10: 1 - J10
K10: 0
I11: 1 - J11
K11: 0
I2: 1 - J2
K2: 0
I3: 1 - J3
K3: 0
I4: 1 - J4
K4: 0
I5: 1 - J5
K5: 0
I6: 1 - J6
K6: 0
K12: 0
A13 = 12
J13: A13 / 19
A14 = 13
J14: A14 / 19
A15 = 14
J15: A15 / 19
A16 = 15
J16: A16 / 19
A17 = 16
J17: A17 / 19
A18 = 17
J18: A18 / 19
A19 = 18
J19: A19 / 19
A20 = 19
J20: A20 / 19
B12: ((2 * A12) * pi / T)
B13: ((2 * A13) * pi / T)
B14: ((2 * A14) * pi / T)
B15: ((2 * A15) * pi / T)
B16: ((2 * A16) * pi / T)
B17: ((2 * A17) * pi / T)
B18: ((2 * A18) * pi / T)
B19: ((2 * A19) * pi / T)
B20: ((2 * A20) * pi / T)
D12: (2 / T * Integral[(f_p(x) * sin((B12 * x))), 0, T])
C12: (2 / T * Integral[(f_p(x) * cos((B12 * x))), 0, T])
E12(x) = (C12 * cos((B12 * x))) + (D12 * sin((B12 * x)))
F12(x) = F11(x) + E12(x)
D13: (2 / T * Integral[(f_p(x) * sin((B13 * x))), 0, T])
C13: (2 / T * Integral[(f_p(x) * cos((B13 * x))), 0, T])
E13(x) = (C13 * cos((B13 * x))) + (D13 * sin((B13 * x)))
F13(x) = F12(x) + E13(x)
I13: 1 - J13
K13: 0
D14: (2 / T * Integral[(f_p(x) * sin((B14 * x))), 0, T])
C14: (2 / T * Integral[(f_p(x) * cos((B14 * x))), 0, T])
E14(x) = (C14 * cos((B14 * x))) + (D14 * sin((B14 * x)))
F14(x) = F13(x) + E14(x)
I14: 1 - J14
K14: 0
D15: (2 / T * Integral[(f_p(x) * sin((B15 * x))), 0, T])
C15: (2 / T * Integral[(f_p(x) * cos((B15 * x))), 0, T])
E15(x) = (C15 * cos((B15 * x))) + (D15 * sin((B15 * x)))
F15(x) = F14(x) + E15(x)
I15: 1 - J15
K15: 0
D16: (2 / T * Integral[(f_p(x) * sin((B16 * x))), 0, T])
C16: (2 / T * Integral[(f_p(x) * cos((B16 * x))), 0, T])
E16(x) = (C16 * cos((B16 * x))) + (D16 * sin((B16 * x)))
F16(x) = F15(x) + E16(x)
I16: 1 - J16
K16: 0
D17: (2 / T * Integral[(f_p(x) * sin((B17 * x))), 0, T])
C17: (2 / T * Integral[(f_p(x) * cos((B17 * x))), 0, T])
E17(x) = (C17 * cos((B17 * x))) + (D17 * sin((B17 * x)))
F17(x) = F16(x) + E17(x)
I17: 1 - J17
K17: 0
D18: (2 / T * Integral[(f_p(x) * sin((B18 * x))), 0, T])
C18: (2 / T * Integral[(f_p(x) * cos((B18 * x))), 0, T])
E18(x) = (C18 * cos((B18 * x))) + (D18 * sin((B18 * x)))
F18(x) = F17(x) + E18(x)
I18: 1 - J18
K18: 0
D19: (2 / T * Integral[(f_p(x) * sin((B19 * x))), 0, T])
C19: (2 / T * Integral[(f_p(x) * cos((B19 * x))), 0, T])
E19(x) = (C19 * cos((B19 * x))) + (D19 * sin((B19 * x)))
F19(x) = F18(x) + E19(x)
I19: 1 - J19
K19: 0
D20: (2 / T * Integral[(f_p(x) * sin((B20 * x))), 0, T])
C20: (2 / T * Integral[(f_p(x) * cos((B20 * x))), 0, T])
E20(x) = (C20 * cos((B20 * x))) + (D20 * sin((B20 * x)))
F20(x) = F19(x) + E20(x)
I20: 1 - J20
K20: 0
I12: 1 - J12
f_{3d} = CurveCartesian(t, 0, f_p(t), t, 0, T)
H1 = CurveCartesian(t, A1 / 10 + 2, F1(t), t, (-T), (2 * T))
H2 = CurveCartesian(t, A2 / 10 + 2, F2(t), t, (-T), (2 * T))
H3 = CurveCartesian(t, A3 / 10 + 2, F3(t), t, (-T), (2 * T))
H4 = CurveCartesian(t, A4 / 10 + 2, F4(t), t, (-T), (2 * T))
H5 = CurveCartesian(t, A5 / 10 + 2, F5(t), t, (-T), (2 * T))
H6 = CurveCartesian(t, A6 / 10 + 2, F6(t), t, (-T), (2 * T))
H7 = CurveCartesian(t, A7 / 10 + 2, F7(t), t, (-T), (2 * T))
H8 = CurveCartesian(t, A8 / 10 + 2, F8(t), t, (-T), (2 * T))
H9 = CurveCartesian(t, A9 / 10 + 2, F9(t), t, (-T), (2 * T))
H10 = CurveCartesian(t, A10 / 10 + 2, F10(t), t, (-T), (2 * T))
H11 = CurveCartesian(t, A11 / 10 + 2, F11(t), t, (-T), (2 * T))
H12 = CurveCartesian(t, A12 / 10 + 2, F12(t), t, (-T), (2 * T))
H13 = CurveCartesian(t, A13 / 10 + 2, F13(t), t, (-T), (2 * T))
H14 = CurveCartesian(t, A14 / 10 + 2, F14(t), t, (-T), (2 * T))
H15 = CurveCartesian(t, A15 / 10 + 2, F15(t), t, (-T), (2 * T))
H16 = CurveCartesian(t, A16 / 10 + 2, F16(t), t, (-T), (2 * T))
H17 = CurveCartesian(t, A17 / 10 + 2, F17(t), t, (-T), (2 * T))
H18 = CurveCartesian(t, A18 / 10 + 2, F18(t), t, (-T), (2 * T))
H19 = CurveCartesian(t, A19 / 10 + 2, F19(t), t, (-T), (2 * T))
H20 = CurveCartesian(t, A20 / 10 + 2, F20(t), t, (-T), (2 * T))
G1 = CurveCartesian(t, A1 / 10 + 1, E1(t), t, (-T), (2 * T))
G2 = CurveCartesian(t, A2 / 10 + 1, E2(t), t, (-T), (2 * T))
G3 = CurveCartesian(t, A3 / 10 + 1, E3(t), t, (-T), (2 * T))
G4 = CurveCartesian(t, A4 / 10 + 1, E4(t), t, (-T), (2 * T))
G5 = CurveCartesian(t, A5 / 10 + 1, E5(t), t, (-T), (2 * T))
G6 = CurveCartesian(t, A6 / 10 + 1, E6(t), t, (-T), (2 * T))
G7 = CurveCartesian(t, A7 / 10 + 1, E7(t), t, (-T), (2 * T))
G8 = CurveCartesian(t, A8 / 10 + 1, E8(t), t, (-T), (2 * T))
G9 = CurveCartesian(t, A9 / 10 + 1, E9(t), t, (-T), (2 * T))
G10 = CurveCartesian(t, A10 / 10 + 1, E10(t), t, (-T), (2 * T))
G11 = CurveCartesian(t, A11 / 10 + 1, E11(t), t, (-T), (2 * T))
G12 = CurveCartesian(t, A12 / 10 + 1, E12(t), t, (-T), (2 * T))
G13 = CurveCartesian(t, A13 / 10 + 1, E13(t), t, (-T), (2 * T))
G14 = CurveCartesian(t, A14 / 10 + 1, E14(t), t, (-T), (2 * T))
G15 = CurveCartesian(t, A15 / 10 + 1, E15(t), t, (-T), (2 * T))
G16 = CurveCartesian(t, A16 / 10 + 1, E16(t), t, (-T), (2 * T))
G17 = CurveCartesian(t, A17 / 10 + 1, E17(t), t, (-T), (2 * T))
G18 = CurveCartesian(t, A18 / 10 + 1, E18(t), t, (-T), (2 * T))
G19 = CurveCartesian(t, A19 / 10 + 1, E19(t), t, (-T), (2 * T))
G20 = CurveCartesian(t, A20 / 10 + 1, E20(t), t, (-T), (2 * T))
f_{p3d} = CurveCartesian(t, 0, f_p(t), t, (-T), (2 * T))
b = false