Some crazy equation sorts and such and such
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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(N,+) | Abelian Monoid
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(N, x) | Abelian Monoid
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(Z, +) | Abelian Group
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(Z, x) | Abelian Monoid
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(Q, +) | Abelian Group
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(Q^x, x) | Abelian Group
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(Q^q, o) | Monoid
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(Q^q, +) | Abelian Group
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(Q^q, x) | Abelian Monoid
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(P, o) | Monoid
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(P, +) | Abelian Group
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(P, x) | Abelian Monoid
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(A^o, o) | Group
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(A, +) | Abelian Group
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(A, x) | Nothing
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What is necessary to be a Monoid? | Closure, Associativity and Identity
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What is necessary to be a Group? | Closure, Associativity, Identity and Inverses
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What is necessary to be Abelian? | Commutative Property
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What does superscript "o" stand for in (A^o, o)? | It means you have to take out the constant functions or else the functions won't have inverses (because no matter what your input is in f(x)=5, the answer will be 5, not the ID)
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What does superscript "x" stand for in (Q^x, x)? | It means you have to take zero out of the set of rational numbers, because it doesn't have an inverse.
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Review the information in the table. When you are ready to quiz yourself you can hide individual columns or the entire table. Then you can click on the empty cells to reveal the answer. Try to recall what will be displayed before clicking the empty cell.
To hide a column, click on the column name.
To hide the entire table, click on the "Hide All" button.
You may also shuffle the rows of the table by clicking on the "Shuffle" button.
Or sort by any of the columns using the down arrow next to any column heading.
If you know all the data on any row, you can temporarily remove it by tapping the trash can to the right of the row.
To hide a column, click on the column name.
To hide the entire table, click on the "Hide All" button.
You may also shuffle the rows of the table by clicking on the "Shuffle" button.
Or sort by any of the columns using the down arrow next to any column heading.
If you know all the data on any row, you can temporarily remove it by tapping the trash can to the right of the row.
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Created by:
grotle_grovyle
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