Little Everything Flashcards

1
Q

What is the intuition for little oh and little omega?

A
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2
Q

What is the Little Oh definition and what does it mean in plain language?

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3
Q

In general, what do you need to do to complete this proof

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4
Q

What is the rough work for this proof?

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5
Q

Provide the actualy proof for:

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6
Q

How do you prove the following? What does the negation look like?

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7
Q
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8
Q

What is the definition of Little-Omega and what does it mean in plain language?

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9
Q
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10
Q

What is the warning for a common error with asumptotic notation?

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11
Q

What is the theorem for the relationship between Little-Oh and Little-Omega?

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12
Q

How do you setup a limit to figure out asymptotics?

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13
Q

When dividing f(n)/g(n) if this limit goes to infinity, what does this mean?

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14
Q

When dividing f(n)/g(n) if this limit goes to zero, what does this mean?

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15
Q

When dividing f(n)/g(n) if this limit goes to a number M > 0, what does this mean?

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16
Q

Determine the correct asymptoctic notation

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17
Q

Determine the correct asymptoctic notation

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18
Q

Determine the correct asymptoctic notation

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19
Q

What happens when a limit is not 0, not inifinty and not M > 0?

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20
Q
A
21
Q

For the following, if f(n) is little oh of g(n) what prefix do we add?

A
22
Q

For the following, when f(n) is little-omega of g(n) what prefix do we add?

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23
Q

For each of the following, determine what asymptotic notation it is?

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24
Q

When dividing f(n)/g(n) if this limit goes to infinity, what does this mean?

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25
Q
A