DU$14$

$".$ Lagrange$\_$Polynomial:

$$ init$(\_$x$\_$y$)$

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$($numpy arrays$)$

$$

$()""$msg$""$

$$

$""$msg$"$

$$

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$(\_$x$)==(\_$y$)""\_$x $\_$y $""$

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Lagrange polynomials $$ coefficeints a$\_$i $$

$($x$\_$i$$ y$\_$i$)0$ # $$

# $-----------------------------------$

# $$

#$()$

#

# $$

# x$\_$k $=$

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selfDon't Solve $$ partdata$\_$x $=$ data$\_$x $$

$\_$y $=\_$y $$

$=$ len$($data$\_$x$)-1$

# $$

# $$

def repr$()$:

# $$

# $$

strL $=$ f$""$LagrangePolynomial of Order $\{$selfDon$\text{'}$t Solvedegree$\}$

$""$

strL $+=""$p$($x$)=""$

$(())$:

$\_$y$[$i$]==0$

$$

elif selfDon't Solvedata$\_$y$[$i$]>>0$

strL $+=$ f$""+\{$data$\_$y$[$i$]\}*$l$\_\{$i$\}($x$)"""$

$$

strL $+=$ f$""-\{-$

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l$\_$k $=1\_[$i$]\}*$l$\_\{$i$\}($x$)""$

$$ strL

def l $($ k$$ x$)$

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$$ Lagrange Basis $$

using Lagrange Polynomials $$