logo

Expression of type ExprTuple

from the theory of proveit.physics.quantum.algebra

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 A, ExprTuple, alpha, delta, m
from proveit.linear_algebra import LinMap
from proveit.logic import CartExp
from proveit.numbers import Complex
from proveit.physics.quantum import Qmult, bra_varphi
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(Qmult(Qmult(delta, bra_varphi, alpha, A)), LinMap(CartExp(Complex, m), Complex))
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[\delta \thinspace \langle \varphi \rvert \thinspace \alpha \thinspace A\right], \mathcal{L}\left(\mathbb{C}^{m}, \mathbb{C}\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: 8
operand: 6
2Operationoperator: 4
operands: 5
3ExprTuple6
4Literal
5ExprTuple7, 16
6Operationoperator: 8
operands: 9
7Operationoperator: 10
operands: 11
8Literal
9ExprTuple12, 13, 14, 15
10Literal
11ExprTuple16, 17
12Variable
13Operationoperator: 18
operand: 20
14Variable
15Variable
16Literal
17Variable
18Literal
19ExprTuple20
20Variable