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Possible Duplicate:
Composition of mappings not working as expected

I am new to Mathematica and I am having trouble defining a certain composition of functions.

Let m1 and m2 be maps such that $m_1: \mathbb{R}^2 \to \mathbb{R}^2$ and $m_2: \mathbb{R}^2 \to \mathbb{R}^2$ where $\mathbb{R}$ is the real line

m1[eta_, zeta_] = {eta^3, zeta^3} 
m2[x_, y_] = x^2 + y^2

m3[eta_, zeta_]  = Composition[m2, m1][eta, zeta]

On evaluating the last line, I get the output

(* m2[{eta^3, zeta^3}] *)

But the anwer to this should be m3[eta,zeta]=eta^6 + zeta^6

How can I do this?

Possible Duplicate:
Composition of mappings not working as expected

I am new to Mathematica and I am having trouble defining a certain composition of functions.

Let m1 and m2 be maps such that $m_1: \mathbb{R}^2 \to \mathbb{R}^2$ and $m_2: \mathbb{R}^2 \to \mathbb{R}^2$ where $\mathbb{R}$ is the real line

m1[eta_, zeta_] = {eta^3, zeta^3} 
m2[x_, y_] = x^2 + y^2

m3[eta_, zeta_]  = Composition[m2, m1][eta, zeta]

On evaluating the last line, I get the output

(* m2[{eta^3, zeta^3}] *)

But the anwer to this should be m3[eta,zeta]=eta^6 + zeta^6

How can I do this?

I am new to Mathematica and I am having trouble defining a certain composition of functions.

Let m1 and m2 be maps such that $m_1: \mathbb{R}^2 \to \mathbb{R}^2$ and $m_2: \mathbb{R}^2 \to \mathbb{R}^2$ where $\mathbb{R}$ is the real line

m1[eta_, zeta_] = {eta^3, zeta^3} 
m2[x_, y_] = x^2 + y^2

m3[eta_, zeta_]  = Composition[m2, m1][eta, zeta]

On evaluating the last line, I get the output

(* m2[{eta^3, zeta^3}] *)

But the anwer to this should be m3[eta,zeta]=eta^6 + zeta^6

How can I do this?

Possible Duplicate:
Composition of mappings not working as expected

I am new to Mathematica and I am having trouble defining a certain composition of functions.

Let m1 and m2 be maps such that $m_1: \mathbb{R}^2 \to \mathbb{R}^2$ and $m_2: \mathbb{R}^2 \to \mathbb{R}^2$ where $\mathbb{R}$ is the real line

m1[eta_, zeta_] = {eta^3, zeta^3} 
m2[x_, y_] = x^2 + y^2

m3[eta_, zeta_]  = Composition[m2, m1][eta, zeta]

On evaluating the last line, I get the output

(* m2[{eta^3, zeta^3}] *)

But the anwer to this should be m3[eta,zeta]=eta^6 + zeta^6

How can I do this?

I am new to Mathematica and I am having trouble defining a certain composition of functions.

Let m1 and m2 be maps such that m1: R^2 -> R^2 and m2:R^2->R^1 where R is the real line

m1[eta_, zeta_] = {eta^3, zeta^3} 
m2[x_, y_] = x^2 + y^2

m3[eta_, zeta_]  = Composition[m2, m1][eta, zeta]

On evaluating the last line i.e shift+enter, I get the output

m2[{eta^3, zeta^3}]

But the anwer to this should be m3[eta,zeta]=eta^6 + zeta^6

How can I do this?

I am new to Mathematica and I am having trouble defining a certain composition of functions.

Let m1 and m2 be maps such that $m_1: \mathbb{R}^2 \to \mathbb{R}^2$ and $m_2: \mathbb{R}^2 \to \mathbb{R}^2$ where $\mathbb{R}$ is the real line

m1[eta_, zeta_] = {eta^3, zeta^3} 
m2[x_, y_] = x^2 + y^2

m3[eta_, zeta_]  = Composition[m2, m1][eta, zeta]

On evaluating the last line, I get the output

(* m2[{eta^3, zeta^3}] *)

But the anwer to this should be m3[eta,zeta]=eta^6 + zeta^6

How can I do this?