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taylor_mclaurian_expansion/main.py

Lines changed: 6 additions & 6 deletions
Original file line numberDiff line numberDiff line change
@@ -14,15 +14,15 @@ def taylorexpansion(func, a, n, var):
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k = 1
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while (k < n):
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d = diff(d, var)
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term = (d*((t_y-a)**k))/factorial(k)
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term = (d * ((t_y - a) ** k)) / factorial(k)
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term = term.subs(var, a)
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if (term == 0):
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continue
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term = term.subs(t_y, var)
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expansion = term+expansion
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expansion = term + expansion
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k += 1
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if (d == 0 and k < n):
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print("only ", k-1, " terms present")
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print("only ", k - 1, " terms present")
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if (n < 1):
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print("3rd argument is for no. of terms, provide a natural number")
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return ''
@@ -54,16 +54,16 @@ def examples():
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print(taylorvalue(exp(x), 1, 10, x))
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# log(1+x) expansion at x=0 with 5 terms differentiating with respect to x
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pprint(taylorexpansion(log(x+1), 0, 5, x))
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pprint(taylorexpansion(log(x + 1), 0, 5, x))
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# sin(x) expansion at x=0 with 5 terms differentiating with respect to x
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pprint(taylorexpansion(sin(x), 0, 5, x))
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# expansion for expression at x=0 with 3 terms differentiating wrt to x
63-
pprint(taylorexpansion((5*x**2)+(3*x)+(7), 0, 3, x))
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pprint(taylorexpansion((5 * x ** 2) + (3 * x) + (7), 0, 3, x))
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# e^(xy) expansion at x=1 with 5 terms differentiating with respect to x
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pprint(taylorexpansion(exp(x*y), 1, 5, x))
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pprint(taylorexpansion(exp(x * y), 1, 5, x))
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examples()

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