Year 1 Algebra Flashcards
def complex numbers, properties
e
polar form
e
unit circle is a group form
e
de Moivres theorrem
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roots of unity
e
nth roots prop
e
fundamental theorem of algebra
e
order of a root of unity
e
prime numbers
e
division properties
e
product of primes
e
infinitely many primes
ew
def lcm gcd
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bezout identity
e
euclid algorthitm (compute gcd)
e
all bezout identities
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euclids lemma
e
fundamental theorem of arithmetic
e
gdc lcm properties
e
def congruence
e
evcery integer is congruent n to an in within 0,n
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congruence classes
e
well defined sum and propertios on Zn
e
multiplicative inverse iff coprime
e
multipicltaion by coprime element is invertible
e
Fermats little theorem
e
def congruence equation
e
Solving congruences
e
Chinese remainder theorem
e
solving simultaneous congruence equations
e
group of units
e
phi function
e
group odf units is a group
e
Euler (a , n coprime phi func)
e
cARTESIAN PRODUCT
Q
def function
e
def graph of a function
em
unction space
e
graqph property
e
image
e
inj, surj, bij
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