1.3 Defining O-notation Flashcards

1
Q

Formal definition of:

A
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2
Q

Formal definition of:

A
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3
Q

Formal definition of:

A
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4
Q

Formal definition of:

A
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5
Q

Formal definition of:

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6
Q

Intuitive meaning and comparison analogue of:

A
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7
Q

Intuitive meaning and comparison analogue of:

A
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8
Q

Intuitive meaning and comparison analogue of:

A
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9
Q

Intuitive meaning and comparison analogue of:

A
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10
Q

Intuitive meaning and comparison analogue of:

A
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11
Q

How to prove something f(n) is in _ notation?

A
  • Prove that there exists C, n_0 for all n >= n_0
  • It is essential to prove that something is true for all n >= n_0, not just a specific value
  • Can often be reasoned and simplified using equalities
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12
Q

How does multi-variable O-notation work for f(m,n)

A
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13
Q

What is the requirement for negative functions?

A

Functions must eventually become non-negative as n becomes larger.

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