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Review Euler's equation from MacLaurin series

step inference rule input feed output step validity (as per SymPy)
0
  • 0000111981: declare initial expression
  • number of inputs: 0; feeds: 0; outputs: 1
  • Eq.~\ref{eq:#1} is an initial equation.
  1. 8637447837
    \(f(x) = \sum_{n=0}^{\infty} \frac{f^n(0)}{n!} x^n\)
 no validation is available for declarations
1
  • 0000111981: declare initial expression
  • number of inputs: 0; feeds: 0; outputs: 1
  • Eq.~\ref{eq:#1} is an initial equation.
  1. 9605409442
    \(f(x) = f(0)+f'(x)\ x + \frac{f''(x)\ x^2}{2!} + \frac{f'''(x)\ x^3}{3!} + ...\)
 no validation is available for declarations
2
  • 0000111550: claim expr 1 equals expr 2
  • number of inputs: 2; feeds: 0; outputs: 0
  • Thus we see that Eq.~\ref{eq:#1} is equivalent to Eq.~\ref{eq:#2}.
  1. 9605409442
    \(f(x) = f(0)+f'(x)\ x + \frac{f''(x)\ x^2}{2!} + \frac{f'''(x)\ x^3}{3!} + ...\)
  2. 8637447837
    \(f(x) = \sum_{n=0}^{\infty} \frac{f^n(0)}{n!} x^n\)
missing SymPy for LHS of expression 9605409442
3
  • 0000111981: declare initial expression
  • number of inputs: 0; feeds: 0; outputs: 1
  • Eq.~\ref{eq:#1} is an initial equation.
  1. 7764834870
    \(f(x) = \sum_{n=0}^{\infty} \frac{f^n(a)}{n!} (x-a)^n\)
 no validation is available for declarations

Symbols used in Euler's equation from MacLaurin series

Steps and expressions for Euler's equation from MacLaurin series

d3js visualization of steps and expressions in Euler's equation from MacLaurin series


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