A debt generally refers to something owed by one party, the borrower or debtor, to a second party, the lender or creditor. The lender or creditor can be a bank, credit card company, payday loan provider, or an individual. One country can also lend money to another country. Debt is generally subject to contractual terms regarding the amount and timing of repayments of principal and interest. The term can also be used metaphorically to cover moral obligations and other interactions not based on economic value. For example, in Western cultures, a person who has been helped by a second person is sometimes said to owe a "debt of gratitude" to the second person.
Interest is the fee charged by the creditor to the debtor. Interest is generally calculated as a percentage of the principal sum per year, which percentage is known as an interest rate, and is generally paid periodically at intervals, such as monthly or semi-annually.
Many conventions on how interest is calculated exist – see day count convention for some – while a standard convention is the annual percentage rate (APR), widely used and required by regulation in the United States and United Kingdom, though there are different forms of APR.
Debt is an American game show hosted by Wink Martindale which aired on Lifetime from June 3, 1996 to August 14, 1998. The show featured contestants who were trying to earn money to get out of debt.
The game was conceived by Sarah Jane West. Its host was Wink Martindale, and Kurt Engstrom was featured as an assistant playing the role of a security guard. Julie Claire was the show's announcer.
Three contestants are introduced with the amount of debt they have (usually between $6,000 and $10,000) and the reasons why. After introductions, the debt of the three contestants was averaged to level the playing field. The scores were shown in negative amounts to reflect the debt of each contestant.
In the first round, contestants faced a gameboard with five categories, each with five questions in negative dollar values ranging from −$50 to −$250, in increments of $50. The first selection went to the contestant who had the lowest debt before averaging the scores. On a contestant's turn, he or she chose a category and value, after which a "Who am I?"-type question was revealed (e.g., "I'm the name of the fictitious, mustachioed 'ranking officer' who hawks the Quaker Oats cereal Peanut Butter Crunch."). Contestants buzzed-in to answer and were required to phrase their response as "You are..." to receive credit (although the contraction "You're" also was accepted). The correct answer to the example is "You are Cap'n Crunch." A correct answer deducted the question's value from the contestant's debt. A wrong answer or failing to respond within the time frame added the value, increasing the contestant's debt.
In abstract algebra and formal logic, the distributive property of binary operations generalizes the distributive law from elementary algebra. In propositional logic, distribution refers to two valid rules of replacement. The rules allow one to reformulate conjunctions and disjunctions within logical proofs.
For example, in arithmetic:
In the left-hand side of the first equation, the 2 multiplies the sum of 1 and 3; on the right-hand side, it multiplies the 1 and the 3 individually, with the products added afterwards. Because these give the same final answer (8), it is said that multiplication by 2 distributes over addition of 1 and 3. Since one could have put any real numbers in place of 2, 1, and 3 above, and still have obtained a true equation, we say that multiplication of real numbers distributes over addition of real numbers.
Given a set S and two binary operators ∗ and + on S, we say that the operation:
∗ is left-distributive over + if, given any elements x, y, and z of S,
In probability and statistics, a probability distribution assigns a probability to each measurable subset of the possible outcomes of a random experiment, survey, or procedure of statistical inference. Examples are found in experiments whose sample space is non-numerical, where the distribution would be a categorical distribution; experiments whose sample space is encoded by discrete random variables, where the distribution can be specified by a probability mass function; and experiments with sample spaces encoded by continuous random variables, where the distribution can be specified by a probability density function. More complex experiments, such as those involving stochastic processes defined in continuous time, may demand the use of more general probability measures.
In applied probability, a probability distribution can be specified in a number of different ways, often chosen for mathematical convenience: