Polar5
Author: Mike Shepperd

IZ5FCY

Un altro numero

Forma polare

Vettori

Asse immaginario

Asse reale

z = (-2.7435424855951407, 2.079767557398582)
r: sqrt((x(z))^(2) + (y(z))^(2))
A = Point(xAxis)
D = Point(xAxis)
α = Angle(D, A, z)
v = ComplexVector(z)
text6: "z = " + (x(z)) + " + " + (y(z)) + " i"
text7: "z = " + (x(z)) + " - " + (abs(y(z))) + " i"
polar = true
α1: α + 1 - 1
"" + (sqrt(x(z)² + y(z)²)): "" + (sqrt((x(z))^(2) + (y(z))^(2))) + ""
αα: (α * α)
text4: "z = " + (x(z)) + " + j" + (y(z)) + " "
E = Intersect(xAxis, yAxis)
u = Vector(E, z)
testo2: "z  =  " + (sqrt((x(z))^(2) + (y(z))^(2))) + "  ∠ " + α + ""
w = (3.1728212342172974, 3.3992546357492035)
w_1 = Vector(E, w)
AD = Distance(A, D)
Aw = Distance(A, w)
testo3: "w = " + (LaTeX[x(w_1)]) + "+j" + (LaTeX[y(w_1)]) + ""
testo6: "w = " + (sqrt((x(w))^(2) + (y(w))^(2))) + "     ∠  " + (Angle[D, A, w]) + ""
an = true
po = true
ve = true

Tool: ComplexDiv
Input: A, B
Output: C

c: (x(B))^(2) + (y(B))^(2)
C: (((x(A) * x(B)) + (y(A) * y(B))) / c, ((y(A) * x(B)) - (x(A) * y(B))) / c)

Tool: ComplexMultiplication
Input: A, B
Output: C

C: ((x(A) * x(B)) - (y(A) * y(B)), (x(A) * y(B)) + (x(B) * y(A)))

Tool: ComplexConjugate
Input: A
Output: E

E: (x(A), (-y(A)))

Tool: ComplexInverse
Input: A
Output: B

B: (x(A) / ((x(A))^(2) + (y(A))^(2)), ((-y(A))) / ((x(A))^(2) + (y(A))^(2)))

Tool: ComplexSqrt
Input: A
Output: B, C

d = If(sgn(y(A)) ≟ 0, 1, sgn(y(A)))
c: sqrt((x(A))^(2) + (y(A))^(2))
C: ((-sqrt((c + x(A)) / 2)), ((-d) * sqrt((c - x(A)) / 2)))
B: (sqrt((c + x(A)) / 2), (d * sqrt((c - x(A)) / 2)))

Tool: ComplexAddition
Input: A, B
Output: C

C: A + B

Tool: ComplexSubtraction
Input: A, B
Output: C

C: A - B

Tool: ComplexSquare
Input: A
Output: B

B = ComplexMultiplication(A, A)

Tool: ComplexVector
Input: A
Output: u

u = Vector((0, 0), A)

Tool: ComplexPowers
Input: A
Output: B, C, D, E, F, G, H, I, J, K, L, M, N, O

B = ComplexSquare(A)
C = ComplexMultiplication(B, A)
D = ComplexMultiplication(C, A)
E = ComplexMultiplication(D, A)
F = ComplexMultiplication(E, A)
G = ComplexMultiplication(F, A)
H = ComplexMultiplication(G, A)
I = ComplexMultiplication(A, H)
J = ComplexMultiplication(A, I)
K = ComplexMultiplication(A, J)
L = ComplexMultiplication(A, K)
M = ComplexMultiplication(A, L)
N = ComplexMultiplication(A, M)
O = ComplexMultiplication(A, N)