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Expression of type VecSum

from the theory of proveit.linear_algebra.addition

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 Function, i, v
from proveit.linear_algebra import VecSum
from proveit.numbers import DecimalSequence, Interval, one, subtract, three, two, zero
In [2]:
# build up the expression from sub-expressions
expr = VecSum(index_or_indices = [i], summand = Function(v, [subtract(i, two)]), domain = Interval(three, DecimalSequence(one, zero)))
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())
\sum_{i=3}^{10} v\left(i - 2\right)
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: 18
body: 5
4ExprTuple18
5Conditionalvalue: 6
condition: 7
6Operationoperator: 8
operand: 12
7Operationoperator: 10
operands: 11
8Variable
9ExprTuple12
10Literal
11ExprTuple18, 13
12Operationoperator: 14
operands: 15
13Operationoperator: 16
operands: 17
14Literal
15ExprTuple18, 19
16Literal
17ExprTuple20, 21
18Variable
19Operationoperator: 22
operand: 26
20Literal
21Operationoperator: 24
operands: 25
22Literal
23ExprTuple26
24Literal
25ExprTuple27, 28
26Literal
27Literal
28Literal