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Expression of type ExprTuple

from the theory of proveit.linear_algebra.tensors

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, beta, fi, gamma, i, x, y
from proveit.linear_algebra import ScalarMult, TensorProd, VecSum
from proveit.numbers import Interval, four, two
In [2]:
# build up the expression from sub-expressions
sub_expr1 = [i]
sub_expr2 = Interval(two, four)
sub_expr3 = TensorProd(x, fi, y)
expr = ExprTuple(VecSum(index_or_indices = sub_expr1, summand = ScalarMult(gamma, ScalarMult(beta, sub_expr3)), domain = sub_expr2), VecSum(index_or_indices = sub_expr1, summand = ScalarMult(ScalarMult(gamma, beta), sub_expr3), domain = sub_expr2))
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_{i=2}^{4} \left(\gamma \cdot \left(\beta \cdot \left(x {\otimes} f\left(i\right) {\otimes} y\right)\right)\right), \sum_{i=2}^{4} \left(\left(\gamma \cdot \beta\right) \cdot \left(x {\otimes} f\left(i\right) {\otimes} y\right)\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
operand: 6
2Operationoperator: 4
operand: 7
3ExprTuple6
4Literal
5ExprTuple7
6Lambdaparameter: 37
body: 8
7Lambdaparameter: 37
body: 9
8Conditionalvalue: 10
condition: 12
9Conditionalvalue: 11
condition: 12
10Operationoperator: 21
operands: 13
11Operationoperator: 21
operands: 14
12Operationoperator: 15
operands: 16
13ExprTuple26, 17
14ExprTuple18, 25
15Literal
16ExprTuple37, 19
17Operationoperator: 21
operands: 20
18Operationoperator: 21
operands: 22
19Operationoperator: 23
operands: 24
20ExprTuple27, 25
21Literal
22ExprTuple26, 27
23Literal
24ExprTuple28, 29
25Operationoperator: 30
operands: 31
26Variable
27Variable
28Literal
29Literal
30Literal
31ExprTuple32, 33, 34
32Variable
33Operationoperator: 35
operand: 37
34Variable
35Variable
36ExprTuple37
37Variable