A model of the temperature of a thin metal plate builds two coordinate arrays: and

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Computational Physics, Ch Arrays: a field is a rectangle of numbers

Problem

A model of the temperature of a thin metal plate builds two coordinate arrays:

\texttt{x = np.linspace(0, 0.2, 41).reshape(41, 1)}

and

\texttt{y = np.linspace(0, 0.5, 101).reshape(1, 101)}

, with

x

and

y

in metres. It then computes

\texttt{T = 300 + 50*x*y}

with

T

in kelvin. (a) State the shape of

\texttt{T}

and the total number of temperature values it holds. (b) Say whether building

\texttt{T}

requires NumPy to first make a full

(41,101)

copy of

\texttt{x}

and a full

(41,101)

copy of

\texttt{y}

, or whether it manages without copying either one.

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