calculus vocabulary P17

division
{noun}

• separating [uncountable and countable] the act of separating something into two or more different parts, or the way these parts are separated or shared

division of something between/among/into something
he division of words into syllables
the traditional division of labour (=the way that particular tasks are shared) between husband and wife

• disagreement [uncountable and countable] disagreement among the members of a group that makes them form smaller opposing groups

division between/within/among something
Can he heal the deep divisions among Republican ranks?
racial/class/gender etc division
The old class divisions had begun to break down.
The Army was plagued by internal divisions.

• mathematics [uncountable] the process of finding out how many times one number is contained in another [↪ multiplication, long division]

• part of an organization [countable] a group that does a particular job within a large organization:

the Computer Services Division

• military [countable] a large military group

a tank division

• sport [countable] one of the groups of teams that a sports competition is divided into, often based on the number of games they have won

the Premier/First/Second/Third/Fourth Division
a second-division club
in parliament [countable] a process in which members of the British parliament vote for something by dividing into groups:
MPs forced a division on the bill.
Some members supported the opposition in the division lobbies (=the rooms where the vote takes place).

notation
{noun}
[uncountable and countable]
a system of written marks or signs used to represent something such as music, mathematics, or scientific ideas

vertical
{adjective}

• pointing up in a line that forms an angle of 90° with a flat surface [≠ horizontal; ↪ diagonal]:

a vertical line
the vertical axis of a graph
vertical window blinds
vertical cliff/climb/drop etc (=one that is very high or steep)
a gorge lined with vertical cliffs
having a structure in which there are top, middle, and bottom levels:
Formal communication channels are usually vertical.
—vertically {adverb}


imply
{verb}
past tense and past participle implied, present participle implying, third person singular implies [transitive]

• to suggest that something is true, without saying this directly [↪ infer, implication]

imply (that)
Cleo blushed. She had not meant to imply that he was lying.
an implied threat

• if a fact, event etc implies something, it shows that it is likely to be true [= suggest]

imply (that)
The high level of radiation in the rocks implies that they are volcanic in origin.

• if one thing implies another, it proves that the second thing exists:

Democracy implies a respect for individual liberties.
High profits do not necessarily imply efficiency.