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Expression of type ExprTuple

from the theory of proveit.linear_algebra.tensors

In [1]:
import proveit
# Automation is not needed when building an expression:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%load_expr # Load the stored expression as 'stored_expr'
# import Expression classes needed to build the expression
from proveit import ExprTuple, alpha, beta, gamma, x, y
from proveit.linear_algebra import ScalarMult, VecAdd
from proveit.numbers import Mult
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(VecAdd(ScalarMult(Mult(alpha, beta), x), ScalarMult(Mult(gamma, alpha), y)), ScalarMult(alpha, VecAdd(ScalarMult(beta, x), ScalarMult(gamma, y))))
expr:
In [3]:
# check that the built expression is the same as the stored expression
assert expr == stored_expr
assert expr._style_id == stored_expr._style_id
print("Passed sanity check: expr matches stored_expr")
Passed sanity check: expr matches stored_expr
In [4]:
# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())
\left(\left(\left(\alpha \cdot \beta\right) \cdot x\right) + \left(\left(\gamma \cdot \alpha\right) \cdot y\right), \alpha \cdot \left(\left(\beta \cdot x\right) + \left(\gamma \cdot y\right)\right)\right)
In [5]:
stored_expr.style_options()
namedescriptiondefaultcurrent valuerelated methods
wrap_positionsposition(s) at which wrapping is to occur; 'n' is after the nth comma.()()('with_wrapping_at',)
justificationif any wrap positions are set, justify to the 'left', 'center', or 'right'leftleft('with_justification',)
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0ExprTuple1, 2
1Operationoperator: 10
operands: 3
2Operationoperator: 20
operands: 4
3ExprTuple5, 6
4ExprTuple22, 7
5Operationoperator: 20
operands: 8
6Operationoperator: 20
operands: 9
7Operationoperator: 10
operands: 11
8ExprTuple12, 24
9ExprTuple13, 26
10Literal
11ExprTuple14, 15
12Operationoperator: 17
operands: 16
13Operationoperator: 17
operands: 18
14Operationoperator: 20
operands: 19
15Operationoperator: 20
operands: 21
16ExprTuple22, 23
17Literal
18ExprTuple25, 22
19ExprTuple23, 24
20Literal
21ExprTuple25, 26
22Variable
23Variable
24Variable
25Variable
26Variable