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Table 2.
Grammatical components for representing numeral systems.
Component
.
Description
.
c
Primitive concept
c
= 1, 2 or 3
x
~
Gaussian with approximate mean
x
~
m
(
w
)
Meaning of form
w
s
(
w
,
v
)
Successor of
w
with interval
v
;
s
(
w
) =
s
(
w
, 1)
h
(
w
)
Higher than
w
+
Addition
−
Subtraction
×
Multiplication
÷
Division
p
(
x
,
n
)
x
to the
n
th power
=
d
Form definition
∈
Set definition
≡
Equivalence
Component
.
Description
.
c
Primitive concept
c
= 1, 2 or 3
x
~
Gaussian with approximate mean
x
~
m
(
w
)
Meaning of form
w
s
(
w
,
v
)
Successor of
w
with interval
v
;
s
(
w
) =
s
(
w
, 1)
h
(
w
)
Higher than
w
+
Addition
−
Subtraction
×
Multiplication
÷
Division
p
(
x
,
n
)
x
to the
n
th power
=
d
Form definition
∈
Set definition
≡
Equivalence
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