Important: The student package has been deprecated. Use the superseding command Equate instead.

This procedure is used to construct a set of equations by comparing the components of compound objects such as a lists, vectors or matrices of expressions.

If A and B are both lists with the same number of elements then the resulting equations are $A_1=B_1,{\mathrm{tripledotplaceholderA}}_n=B_n$ 

Vectors and matrices are converted to lists prior to constructing the set of equations.

If the second argument B consists of a single algebraic expression or a list with a single element then the corresponding list is extended by repetition to the length required for a proper comparison with A.

If there is no second argument B it defaults to the value 0.

If the first argument A includes equations, the second argument is used only to convert the non-equation components of A into equations.   In this case B must be a list of length 1.

The command with(student,equate) allows the use of the abbreviated form of this command.

$\mathrm{with}\left(\mathrm{student}\right)\:$

$\mathrm{equate}\left(x\,y\right)$

$\left\{x=y\right\}$

$\mathrm{equate}\left(\mathrm{vector}\left(\left[x\,y\,z\right]\right)\,3\right)$

$\left\{x=3\,y=3\,z=3\right\}$

$\mathrm{equate}\left(\mathrm{vector}\left(\left[x\,y\right]\right)\,\mathrm{vector}\left(\left[a\,b\right]\right)\right)$

$\left\{x=a\,y=b\right\}$

$T\left[\mathrm{first}\right]≔x+y$

$T_{\mathrm{first}}≔x+y$

$T\left[\mathrm{second}\right]≔x-y$

$T_{\mathrm{second}}≔x-y$

$\mathrm{equate}\left(T\,2\right)$

$\left\{x-y=2\,x+y=2\right\}$