Function Symbols Flashcards

Function Symbols

1
Q

๐‘“(๐‘Ž)

A

value of the function ๐‘“ at ๐‘Ž

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2
Q

๐‘“:๐ด โ†’ ๐ต

A

Function from ๐ด to ๐ต

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3
Q

๐‘“1+ ๐‘“2

A

Sum of the functions ๐‘“1 and ๐‘“

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4
Q

๐‘“1๐‘“2

A

Product of the functions ๐‘“1 and ๐‘“2

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5
Q

๐‘“(๐‘†)

A

Image of the set ๐‘† under ๐‘“

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6
Q

๐‘–๐ด(๐‘†)

A

Identity function on ๐ด

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7
Q

๐‘“โˆ’1(๐‘ฅ)

A

Inverse of ๐‘“

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8
Q

๐‘“๐‘œ๐‘”

A

Composition of ๐‘“ and ๐‘”

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9
Q

โŒŠ๐‘ฅโŒ‹

A

Floor function of ๐‘ฅ

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10
Q

โŒˆ๐‘ฅโŒ‰

A

Ceiling function of ๐‘ฅ

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11
Q

๐‘Ž๐‘›

A

Term of {๐‘Ž๐‘–} with subscript ๐‘›

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12
Q

ฮฃ๐‘›๐‘–=ai

A

Sum of๐‘Ž1, ๐‘Ž2, โ€ฆ, ๐‘Ž๐‘›

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13
Q

ฮฃ๐›ผโˆˆ๐‘†๐‘Ž๐›ผ

A

Sum of ๐‘Ž๐›ผ over a ๐›ผโˆˆ๐‘†

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14
Q

ฮ ni=1an

A

Product of๐‘Ž1, ๐‘Ž2, โ€ฆ, ๐‘Ž๐‘›

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15
Q

๐‘“(๐‘ฅ) ๐‘–๐‘  ๐‘‚(๐‘”(๐‘ฅ))

A

๐‘“(๐‘ฅ ) is big-O of ๐‘” (๐‘ฅ )

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16
Q

๐‘›!

A

๐‘› factorial

17
Q

๐‘“(๐‘ฅ) ๐‘–๐‘  ๐›บ (๐‘”(๐‘ฅ))

A

๐‘“ (๐‘ฅ ) is big-Omega of ๐‘” (๐‘ฅ )

18
Q

๐‘“(๐‘ฅ) ๐‘–๐‘  ๐›ฉ (๐‘”(๐‘ฅ))

A

๐‘“ (๐‘ฅ ) is big-Theta of ๐‘”(๐‘ฅ)

19
Q

~

A

Asymptotic

20
Q

๐‘š๐‘–๐‘›(๐‘ฅ,๐‘ฆ)

A

Minimum of ๐‘ฅ and ๐‘ฆ

21
Q

๐‘š๐‘Ž๐‘ฅ(๐‘ฅ,๐‘ฆ)

A

Maximum of ๐‘ฅ and ๐‘ฆ

22
Q

โ‰ˆ

A

Approximately equal to