Year 1 Analysis Flashcards
1
Q
Statement, truth tables,
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2
Q
distributive, de morgan
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3
Q
def function
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4
Q
field axioms
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5
Q
field axoim results
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6
Q
order axioms
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7
Q
order results
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8
Q
def supremum
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9
Q
max s = sup sresult
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10
Q
completeness axiom
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11
Q
archimidean postulate
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12
Q
triangle inequality
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13
Q
binomial inequality
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14
Q
convergence
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15
Q
1/n
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16
Q
simple convergence resaults
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17
Q
L<M convergence proof
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18
Q
uniqueness of limits proof
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19
Q
convergent sequence is bounded proof
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20
Q
algebra of limits
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21
Q
mod convergence results
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22
Q
def diverges
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23
Q
monotone def
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24
Q
monotone and bounded above converges proof
A
e
25
root 2 show
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26
sandwich theorem
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27
bitten sandwich theorem
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1/an diverges proof
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29
lemma an+1/an
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30
Growth factor test
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31
subsequence def
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32
any subsequence converges
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33
Bolzano weirstrass proof
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34
def series
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35
if series converges proof
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36
AOL for series
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37
a series less than another
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two results non negative terms
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39
absolute convergence defq
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40
if absolute then normal
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41
rearrangement of series
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42
Comparison test
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43
A'alemberts ratio test
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44
Leibniz alternating series test
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45
