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OEF modular arithmetic
OEF modular arithmetic
--- Introduction ---
This module actually contains 38 exercises on computations in the
finite ring Z/nZ.
Addition fill
,
.
, .
Congruence classes
?
Congruences with a parameter
.
0 .
Cubic fill
,
.
, .
Division fill
,
.
, .
Division I
/ .
0 .
Division II
/ .
0 .
Division III
/ .
0 .
Zero divisors
?
Zero divisor II
.
. 1 ,
Zero divisors III
=2, . ?
Roots modulo p^2
.
.
.
0 .
.
.
0
.
.
,
.
0
,
?
:
.
0
,
.
(
)
?
Inverse I
.
0 .
Inverse II
.
1 .
Inverse III
.
0 .
Invertible power
.
. ?
Divisibility
.
?
Linear modular equation
?
A + M
. .
A +
.
.
+
Multiplication fill
,
.
, .
Special multiples
.
Special multiples II
. .
Period of a decimal in base b
. ?
Polynomial fill
,
.
, .
Powers
.
0 .
Powers II
. .
0 .
Power fill
,
.
, .
Roots modulo p
.
=
=
?
=
.
Roots
.
,
.
.
.
Roots of unity modulo p (I)
1 .
1
Roots of unity modulo p (II)
1 .
Simple computations in Z/nZ
.
0 .
Simple computations modulo n
.
0 .
Squares
.
0 ,
Sum and product
,
,
,
Linear system modulo n II
=
*
+
*
=
*
+
*
.
Linear system modulo n I
Linear system modulo n II
=
+
*
+
*
=
+
*
+
*
.
Trinomial fill
,
.
, .
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Description: collection of exercises on the ring Z/nZ. interactive exercises, online calculators and plotters, mathematical recreation and games
Keywords: interactive mathematics, interactive math, server side interactivity, algebra,arithmetic, modular_arithmetic,maps
. 