DEGREE n.
State as indicated by sum of exponents; more particularly, the degree of a term is indicated by the sum of the exponents of its literal factors; thus, a2b2c is a term of the sixth degree. The degree of a power, or radical, is denoted by its index, that of an equation by the greatest sum of the exponents of the unknown…
DELUGE n.
Fig.: Anything which overwhelms, or causes great destruction. "The deluge of summer." Lowell. A fiery deluge fed With ever-burning sulphur unconsumed. Milton. As I grub up some quaint old fragment of a [London] street, or a house, or a shop, or tomb or burial ground, which has still survived in the deluge. F. Harrison.…
DEMONSTRATION n.
A course of reasoning showing that a certain result is a necessary consequence of assumed premises; -- these premises being definitions, axioms, and previously established propositions. Direct, or Positive, demonstration (Logic & Math.), one in which the correct conclusion is the immediate sequence of reasoning from ax…
DEMURRER n.
pause by a party to an action, for the judgment of the court on the question, whether, assuming the truth of the matter alleged by the opposite party, it is sufficient in law to sustain the action or defense, and hence whether the party resting is bound to answer or proceed further. Demurrer to evidence, an exception…
DETERMINANT n.
The sum of a series of products of several numbers, these products being formed according to certain specified laws; thus, the determinant of the nine numbers. a, b, c,a', b', c',a'\'b7, b'\'b7, c'\'b7, is a b' c'\'b7 -- a b'\'b7 c' + a' b'\'b7 c] -- a' b c'\'b7 + a'\'b7 b' c. The determinant is written by placing the…