NumThry Flashcards

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1
Q

set equivalence

A

1

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2
Q

(in)finite set

A

2

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3
Q

countable

A

3

defn, 7 examples

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4
Q

cardinality

A

4

defn, 4 axioms

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5
Q

cardinality of injective and surjective function

A

5

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6
Q

power set of A

A

6

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7
Q

uncountable

A

7

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8
Q

totally ordered set

A

8

3 statements

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9
Q

well ordered set

A

9

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10
Q

a divides b

A

10

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11
Q

prime number

A

11

defn, first up to 50, property

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12
Q

prime number theorem

A

12

\pi(x)

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13
Q

composite number

A

13

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14
Q

divisibility rules

A

14

for 2,3,4,5,6,8,9,10

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15
Q

relatively prime

A

15

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16
Q

divisible by relatively prime numbers

A

16

17
Q

division algorithm

A

17

18
Q

fundamental theorem of arithmetic

A

18

19
Q

how to find gcd/lcm

A

19

20
Q

Euclidean algorithm

A

20

21
Q

corollary of Euclidean algorithm

A

21

22
Q

Diophantine equation

A

22

23
Q

Fermat’s last theorem

A

23

24
Q

solving ax+by=c

A

24

25
Q

congruent modulo n

A

25

26
Q

congruence equation ax = b(mod n)

A

26

27
Q

properties of congruence

A

27

6 of em