abstractmath.org 2.0
help with abstract math
Produced by Charles Wells Revised 2016-06-07
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INDEX TO THE ABSTRACTMATH WEBSITE
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A
a, an
abstract math
abstract
object
abstraction
abuse of notation
accented characters
add, addition
after (in discourse)
aleph
algebra
algorithm
alias
alibi
all
alphabets
always
ambient
analogy
and
(conjunction)
(English word)
angle
bracket
anonymous notation
antecedent
antisymmetric
any
approximation (of real numbers)
arbitrary
argument
arrow
notation
article
(definite)
(indefinite)
assertion
(symbolic)
assume
assumption
asterisk
axiomatic method
B
baby example
bar
(accent)
(notation for decimals)
bare
delimiters
barred arrow notation
base (of a logarithm)
be
before (in discourse)
behaviors
binary operation
blackboard
bold
boldface
bound variable
boundary value (of a function)
braces
bracket
but
C
calculate
call
canonical structure
caron
case
--(of letters)
proof by --
category (two
meanings)
character (two
meanings)
check (accent)
chunking
circumflex
closedunder
closure properties
of the natural numbers
of the integers
of the rational numbers
codomain
cognitive dissonance
cograph
co-intimidator
colon
equals
combination
comma
comprehension, method of
conceptual
conclusion
conditional assertion
conjunction
consequent
constraint
constructor
contain
context
contradiction
contrapositive
-- method
convention
converse
coordinatewise
counterexample
corollary
covert
curriculum
crisp
curly
bracket
cycle notation
D
decreasing
default
define
definiendum
defining condition (in setbuilder notation)
defining phrase (of a definition)
definite article
definite description
definition
degenerate
delimiter
DeMorgan laws
denote
density
of the rational numbers
of the real numbers
dependent
variable
dependency
relation
derivative
description
devious definition
direct
method
discontinuous function
disjoint
disjunction
distinct
division
doing math
domain
-- of
a function
(two
meanings)
dysfunctional behaviors
E
each
e.g.
-- element notation
-- element symbol
empty set
-- symbol
encapsulate
endograph
enthymeme
equals
--symbol
equation
equipped
equivalance (of assertions)
equivalent
establish notation
evaluate
every
exact number
exactly when
examples
exhaustion (proof by)
existence statement
existential bigamy
existential quantifier
expansive generalization
extension (of an
assertion)
F
fallacy
family (two
meanings)
fencepost error
field
find
fix
follow
following are equivalent
form of proof
formula
(for a function)
(two meanings)
forward reference
foundations of math
fraktur
free variable
function
function on its index set
functional property
fuzzy
G
generalization
give
glossary
glue
graph
--
of a function
(two
meanings)
grasshopper
Greek
alphabet
group
guessing
H
haček
hat
hypothesis
I
I (two meanings)
identify
identity
(two meanings)
-- function
i.e.
if
(usage)
(conditional)
if and only if
image (mental representation)
implication
imply
in
in general
include
inclusive or
inclusion
increasing
indefinite article
indefinite description
independent variable
index set
inequality
inert
infix notation
inhabit
injective
input
integer
integral
intent of assertion
interval
intuition
italic
J
jump
the fence
just
just in case
juxtaposition
K
kind
L
large
lemma
let
lg
linear
links to math sites
list notation (for sets)
literalism
ln
logarithm
logic
logical construction
look ahead
lower-case
letter
lowest terms
M
macron
malrule
map, mapping
mathematical
logic
mathematical object
mathematical structure
maximize
mean
mental representation
metaphor
method addiction
method of deduction
minimize
minus
mod
model
modulo
modus
ponens
multiplication symbol
multivalued
function
must
N
name
namely
narrative proof
natural number
nearness
necessary
negation
negative
nonincreasing
nondecreasing
nonnegative
notation
number theory
O
obvious
one
to one
only if
onto
operator
opposite (of a
relation)
or
order
(two
meanings)
ordered pair
outfix notation
output
overloaded
P
pairwise
disjoint
parameter
parentheses
parenthetic assertion
partial
function
partition
(different meanings)
-- of a set
pattern recognition
permutation
(two meanings)
Perrin function
physical representation
plus
pointy
brackets
Polish notation
polymorphic
pons asinorum
positive
(two meanings)
postcondition
postfix notation
power
powerset
precisely when
precondition
prefix notation
prime
process
product
product rule
proof
-- by contradiction
-- by example
narrative --
structure
of --
proper
property
proposition
purple prose
Q
quadratic formula
quantifier
logical operation
symbol
quantity
R
r.a.a.
rabbit out of a hat
range
(two
meanings)
ratchet effect
ratio
rational number
real line
real number
real variable
recall
reconstructive generalization
redundancy
reflexive
relation
representation
of functions
of natural numbers
of the rational numbers
of
the real numbers
result
reverse Polish notation
revise
rewrite according to the definition
rich
view
rigorous view
ring
with identity
root
rule
S
said to be
scope
self-monitoring
semantic contamination
sequence
set
equality of _
definition of _
specification
for _
setbuilder notation
sign
sine-blur function
singleton set
slash
some
specification
split definition
square
brackets
standardization
in math
statement
stronger (for
conditional statements)
structure-preserving function
structure
style (of typeface)
subexpression
subset
subscript
substitution
subtract
meaning
usage
such that
sufficient
sum
suppose
suppression of parameters
surjective
symbol
symbol manipulation
symbolic
assertion
symbolic
expression
symbolic term
symbolic
logic
symbolic statement
symmetry
synecdoche
T
table (to define a function)
tangent
term
part of a sum
multiple meanings
TFAE
the
then
there is
theorem
theory of functions
tilde
transformation, transformer
translation problem
trial
and error
trigonometric functions
trivial
truth set
truth table
truth value
tuple
twiddle
two
two-column format
two-line notation
type
_labeling
typical
U
under
underlying set
understanding math
unique
--
misuse of
uniqueness
unit
unit
circle
unit
interval
unity
universal
generalization
instantiation
quantifier
universally true
assertion
conditional
unknown
unnecessarily weak assertion
unwind
unpack
up to
upper-case letter
useful
behaviors
V
vacuously
true
value (of a function)
variable
variable object
variations in meaning
Venn diagram
W
walking blindfolded
well-defined
when
when and only when
whenever
where
without loss of generality (WLOG)
witness
word-length
function
X
Y
Z
zero
zooming
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