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, e, l
from proveit.numbers import Add, Exp, Interval, Sum, frac, one, subtract, two
from proveit.physics.quantum.QPE import _two_pow__t_minus_one
In [2]:
# build up the expression from sub-expressions
sub_expr1 = Sum(index_or_indices = [l], summand = frac(one, Exp(l, two)), domain = Interval(Add(e, one), subtract(_two_pow__t_minus_one, one)))
expr = ExprTuple(sub_expr1, 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(\sum_{l = e + 1}^{2^{t - 1} - 1} \frac{1}{l^{2}}, \sum_{l = e + 1}^{2^{t - 1} - 1} \frac{1}{l^{2}}\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, 1
1Operationoperator: 2
operand: 4
2Literal
3ExprTuple4
4Lambdaparameter: 18
body: 6
5ExprTuple18
6Conditionalvalue: 7
condition: 8
7Operationoperator: 9
operands: 10
8Operationoperator: 11
operands: 12
9Literal
10ExprTuple35, 13
11Literal
12ExprTuple18, 14
13Operationoperator: 25
operands: 15
14Operationoperator: 16
operands: 17
15ExprTuple18, 27
16Literal
17ExprTuple19, 20
18Variable
19Operationoperator: 29
operands: 21
20Operationoperator: 29
operands: 22
21ExprTuple23, 35
22ExprTuple24, 32
23Variable
24Operationoperator: 25
operands: 26
25Literal
26ExprTuple27, 28
27Literal
28Operationoperator: 29
operands: 30
29Literal
30ExprTuple31, 32
31Literal
32Operationoperator: 33
operand: 35
33Literal
34ExprTuple35
35Literal