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Excursions in Mathematics
Definitions
25
Mathematics
Undergraduate 2
05/05/2013

Additional Mathematics Flashcards

 


 

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Term
Present Value
Definition
If you invest P$ today for a promise of getting F$ in return at some future date, then F should be more than P. and vice versa.
Term
Future Value
Definition
How much the money will increase from the amount you put in.
Term
Principal
Definition
the original money invested or borrowed.
Term
Annual Percentage Rate (APR)
Definition
yearly interest rate, standard way to handle interest.
Term
Simple Interest
Definition
only the principal generates interest over time.
Term
Compound Interest
Definition
the principal generates interest, then the principal plus the interest generates more interest and so on.
Term
Periodic Interest Rate
Definition
the interest rate that applies to each compounding period. Divide APR by number of times money is compounded in a year.
Term
Annual Percentage Yield
Definition
(effective rate) the % of profit that the investment generates in a one year period.
Term
Deffered Annuity
Definition
payments are made so as to produce a lump-sum payout at a later date, as in a college trust fund.
Term
Installment Loan
Definition
opposite of DA, lump sum first as in a car loan.
Term
Plurality Method
Definition
the candidate with the most first place votes wins.
Term
Borda Count Method
Definition
each place on the ballot is assigned points, the points are tallied, and the player with the most wins. This is the Borda winner.
Term
Plurality with Elimination Method
Definition
count first place votes, if you have a majority it is the winner. If not, eliminate the fewest votes player. Recount and keep going until you get a majority candidate.
Term
Pair-Wise Comparison Method
Definition
(Copeland’s Method) every candidate goes head-head with each other. Every vote is assigned to either X/Y depending who is higher on the ballot. Winner is the player with the most points after all the pc are done.
Term
The Majority Criterion
Definition
If candidate X has a majority of the first-place votes, then candidate X should win.
Term
The condorcet Criterion
Definition
If candidate X is preferred by the voters over each of the other candidates in a head-head comparison, then he wins.
Term
The Monotonicity Criterion
Definition
Candidate X wins, and in a recount, the only changes favor X, he should still win.
Term
The Independence of Irrelevant Alternatives Criterion
Definition
If candidate X is a winner of an election and in a recount one of the non-winning candidates leaves then X should still win.
Term
Arrow's Impossibility Theorum
Definition
mathematically impossible for a democratic voting method to satisfy all of the fairness criteria.
Term
Weighted Voting System
Definition
any formal voting arrangement in which voters are not necessarily equal in terms of the number of votes they control. Yes-no votes.
Term
Dictator
Definition

the player’s weight is bigger than or equal to the quota

 

Term
Dummy
Definition
player who has no say in the outcome of the election.
Term
Veto Power
Definition
not a dictator, but has veto power if motion cannot pass unless that player votes in favor of the motion. Can force a motion to fail but not to pass.
Term
Winning Coalition
Definition
coalitions that have enough votes to win. Total number of votes is at least as big as quota.
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