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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, l
from proveit.numbers import Complex, Exp, Sum, frac, one, two
from proveit.physics.quantum.QPE import _diff_l_scaled_delta_floor, _pos_domain
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(Sum(index_or_indices = [l], summand = frac(one, Exp(_diff_l_scaled_delta_floor, two)), domain = _pos_domain), 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(\sum_{l = e + 1}^{2^{t - 1}} \frac{1}{\left(l - \left(2^{t} \cdot \delta_{b_{\textit{f}}}\right)\right)^{2}}, \mathbb{C}\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: 3
operand: 5
2Literal
3Literal
4ExprTuple5
5Lambdaparameter: 25
body: 7
6ExprTuple25
7Conditionalvalue: 8
condition: 9
8Operationoperator: 10
operands: 11
9Operationoperator: 12
operands: 13
10Literal
11ExprTuple40, 14
12Literal
13ExprTuple25, 15
14Operationoperator: 41
operands: 16
15Operationoperator: 17
operands: 18
16ExprTuple19, 45
17Literal
18ExprTuple20, 21
19Operationoperator: 30
operands: 22
20Operationoperator: 30
operands: 23
21Operationoperator: 41
operands: 24
22ExprTuple25, 26
23ExprTuple27, 40
24ExprTuple45, 28
25Variable
26Operationoperator: 36
operand: 32
27Variable
28Operationoperator: 30
operands: 31
29ExprTuple32
30Literal
31ExprTuple46, 33
32Operationoperator: 34
operands: 35
33Operationoperator: 36
operand: 40
34Literal
35ExprTuple38, 39
36Literal
37ExprTuple40
38Operationoperator: 41
operands: 42
39Operationoperator: 43
operand: 47
40Literal
41Literal
42ExprTuple45, 46
43Literal
44ExprTuple47
45Literal
46Literal
47Literal