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Expression of type Integrate

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 e, x
from proveit.numbers import Exp, Integrate, IntervalCC, frac, one, subtract, two
from proveit.physics.quantum.QPE import _two_pow__t_minus_one
In [2]:
# build up the expression from sub-expressions
expr = Integrate(index_or_indices = [x], integrand = frac(one, Exp(x, two)), domain = IntervalCC(e, subtract(_two_pow__t_minus_one, one)))
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())
\int_{e}^{2^{t - 1} - 1} \frac{1}{x^{2}}\,dx
In [5]:
stored_expr.style_options()
namedescriptiondefaultcurrent valuerelated methods
with_wrappingIf 'True', wrap the Expression after the parametersNoneNone/False('with_wrapping',)
condition_wrappingWrap 'before' or 'after' the condition (or None).NoneNone/False('with_wrap_after_condition', 'with_wrap_before_condition')
wrap_paramsIf 'True', wraps every two parameters AND wraps the Expression after the parametersNoneNone/False('with_params',)
justificationjustify to the 'left', 'center', or 'right' in the array cellscentercenter('with_justification',)
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0Operationoperator: 1
operand: 3
1Literal
2ExprTuple3
3Lambdaparameter: 17
body: 5
4ExprTuple17
5Conditionalvalue: 6
condition: 7
6Operationoperator: 8
operands: 9
7Operationoperator: 10
operands: 11
8Literal
9ExprTuple32, 12
10Literal
11ExprTuple17, 13
12Operationoperator: 22
operands: 14
13Operationoperator: 15
operands: 16
14ExprTuple17, 24
15Literal
16ExprTuple18, 19
17Variable
18Variable
19Operationoperator: 26
operands: 20
20ExprTuple21, 29
21Operationoperator: 22
operands: 23
22Literal
23ExprTuple24, 25
24Literal
25Operationoperator: 26
operands: 27
26Literal
27ExprTuple28, 29
28Literal
29Operationoperator: 30
operand: 32
30Literal
31ExprTuple32
32Literal