General Glossary

•  Note: Glossaries only account for terms that do not require a full lesson for adequate explanation. To find a term, search at the homepage.

corollary – An obvious deduction. An immediate consequence or easily drawn conclusion. An inference or proposition that follows directly from the proof of another proposition. An additional proposition that can be easily inferred from a proved proposition. Inference. A natural consequence or result. For example, it is a theorem in geometry that the angles opposite two congruent sides of a triangle are also congruent. A corollary to that statement is that an equilateral triangle is also equiangular.
empirical – Basically means the same thing as experimental. It denotes information gained by means of observation, experience, or experiment. A central concept in science and the scientific method is that all evidence must be empirical, or empirically based, that is, dependent on evidence or consequences that are observable by the senses. Empirical refers to the use of working hypotheses that are testable using observation or experiment. Empirical data are data that are produced by experiment or observation.
explicit – Having the dependent variable expressed directly in terms of the independent variables, as y = 3x + 4.
first principle – a first principle is a basic, foundational proposition or assumption that cannot be deduced from any other proposition or assumption. In mathematics, first principles are referred to as axioms or postulates.
implicit – having the dependent variable not explicitly expressed in terms of the independent variables, as in x2 + y2 = 1
inter- – prefix; interest lies between two or more entities—more than one
intra- – prefix; interest lies within a single entity
mil – A thousandth of an inch.
phenomenological – developed from observed phenomena rather than being derived from first principles; or a generalization based on much experimental evidence
relative – say an action is performed and two people see it being performed. With respect to that action, the first person thinks it is not beneficial and the second thinks it is beneficial. So relative to the first it is not beneficial and relative to the second person if is. So the value of something may vary depending on how it is being evaluated—it is a relative value. Another way of looking at it is, as the judge (or jury) changes, the defendant's outcome may change, so the defendant's outcome is relative to the judge (or jury).
wane – to decrease in strength or intensity; similar words: diminish