logo

Expression of type ExprTuple

from the theory of proveit.physics.quantum.QPE

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
from proveit.numbers import Exp, Mult, Neg, frac, one, pi, two
from proveit.physics.quantum.QPE import _delta_b_round
In [2]:
# build up the expression from sub-expressions
sub_expr1 = frac(one, two)
sub_expr2 = Exp(pi, Neg(one))
expr = ExprTuple(Mult(sub_expr1, two, pi, _delta_b_round, sub_expr2), Mult(Mult(sub_expr1, two), pi, _delta_b_round, sub_expr2))
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(\frac{1}{2} \cdot 2 \cdot \pi \cdot \delta_{b_{\textit{r}}} \cdot \pi^{-1}, \left(\frac{1}{2} \cdot 2\right) \cdot \pi \cdot \delta_{b_{\textit{r}}} \cdot \pi^{-1}\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
operands: 3
2Operationoperator: 8
operands: 4
3ExprTuple14, 22, 16, 6, 7
4ExprTuple5, 16, 6, 7
5Operationoperator: 8
operands: 9
6Operationoperator: 10
operand: 15
7Operationoperator: 12
operands: 13
8Literal
9ExprTuple14, 22
10Literal
11ExprTuple15
12Literal
13ExprTuple16, 17
14Operationoperator: 18
operands: 19
15Literal
16Literal
17Operationoperator: 20
operand: 23
18Literal
19ExprTuple23, 22
20Literal
21ExprTuple23
22Literal
23Literal