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Expression of type Mult

from the theory of proveit.numbers.multiplication

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 a, b, delta, k, theta
from proveit.numbers import Exp, Mult, e, i, pi, two
In [2]:
# build up the expression from sub-expressions
expr = Mult(Exp(e, Mult(two, pi, i, a)), Exp(Mult(Exp(e, Mult(two, pi, i, delta)), Exp(e, Mult(two, pi, i, theta))), k), Exp(e, Mult(two, pi, i, b)))
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())
\mathsf{e}^{2 \cdot \pi \cdot \mathsf{i} \cdot a} \cdot \left(\mathsf{e}^{2 \cdot \pi \cdot \mathsf{i} \cdot \delta} \cdot \mathsf{e}^{2 \cdot \pi \cdot \mathsf{i} \cdot \theta}\right)^{k} \cdot \mathsf{e}^{2 \cdot \pi \cdot \mathsf{i} \cdot b}
In [5]:
stored_expr.style_options()
namedescriptiondefaultcurrent valuerelated methods
operation'infix' or 'function' style formattinginfixinfix
wrap_positionsposition(s) at which wrapping is to occur; '2 n - 1' is after the nth operand, '2 n' is after the nth operation.()()('with_wrapping_at', 'with_wrap_before_operator', 'with_wrap_after_operator', 'without_wrapping', 'wrap_positions')
justificationif any wrap positions are set, justify to the 'left', 'center', or 'right'centercenter('with_justification',)
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0Operationoperator: 26
operands: 1
1ExprTuple2, 3, 4
2Operationoperator: 20
operands: 5
3Operationoperator: 20
operands: 6
4Operationoperator: 20
operands: 7
5ExprTuple23, 8
6ExprTuple9, 10
7ExprTuple23, 11
8Operationoperator: 26
operands: 12
9Operationoperator: 26
operands: 13
10Variable
11Operationoperator: 26
operands: 14
12ExprTuple29, 30, 31, 15
13ExprTuple16, 17
14ExprTuple29, 30, 31, 18
15Variable
16Operationoperator: 20
operands: 19
17Operationoperator: 20
operands: 21
18Variable
19ExprTuple23, 22
20Literal
21ExprTuple23, 24
22Operationoperator: 26
operands: 25
23Literal
24Operationoperator: 26
operands: 27
25ExprTuple29, 30, 31, 28
26Literal
27ExprTuple29, 30, 31, 32
28Variable
29Literal
30Literal
31Literal
32Variable