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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 Abs, Mult, frac, one, pi, two
from proveit.physics.quantum.QPE import _delta_b_round, _two_pow_t
In [2]:
# build up the expression from sub-expressions
sub_expr1 = Abs(_delta_b_round)
expr = ExprTuple(frac(one, Mult(one, _two_pow_t)), frac(Mult(_two_pow_t, Mult(two, sub_expr1)), Mult(pi, sub_expr1)))
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}{1 \cdot 2^{t}}, \frac{2^{t} \cdot \left(2 \cdot \left|\delta_{b_{\textit{r}}}\right|\right)}{\pi \cdot \left|\delta_{b_{\textit{r}}}\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: 4
operands: 3
2Operationoperator: 4
operands: 5
3ExprTuple12, 6
4Literal
5ExprTuple7, 8
6Operationoperator: 18
operands: 9
7Operationoperator: 18
operands: 10
8Operationoperator: 18
operands: 11
9ExprTuple12, 13
10ExprTuple13, 14
11ExprTuple15, 22
12Literal
13Operationoperator: 16
operands: 17
14Operationoperator: 18
operands: 19
15Literal
16Literal
17ExprTuple21, 20
18Literal
19ExprTuple21, 22
20Literal
21Literal
22Operationoperator: 23
operand: 25
23Literal
24ExprTuple25
25Operationoperator: 26
operand: 28
26Literal
27ExprTuple28
28Literal