Verb

(es)

To make stable or firm; to confirm.

*

To form; to found; to institute; to set up in business.

* , (w) 6:18

But with thee will I establish my covenant; and thou shalt come into the ark, thou, and thy sons, and thy wife, and thy sons' wives with thee.

To appoint or adopt, as officers, laws, regulations, guidelines, etc.; to enact; to ordain.

* {{quote-book, year=1922, author=(Ben Travers), title=(A Cuckoo in the Nest)

, chapter=4 citation , passage=By some paradoxical evolution rancour and intolerance have been established in the vanguard of primitive Christianity. Mrs. Spoker, in common with many of the stricter disciples of righteousness, was as inclement in demeanour as she was cadaverous in aspect.}}

To prove and cause to be accepted as true; to establish a fact; to demonstrate.

Verb

(defin)

To determine with precision; to mark out with distinctness; to ascertain or exhibit clearly.

* Sir (Isaac Newton)

Ringsvery distinct and well defined .

*{{quote-magazine, year=2013, month=July-August, author= Lee S. Langston

, title= The Adaptable Gas Turbine , passage=Turbines have been around for a long time—windmills and water wheels are early examples. The name comes from the Latin turbo'', meaning ''vortex , and thus the defining property of a turbine is that a fluid or gas turns the blades of a rotor, which is attached to a shaft that can perform useful work.}}

(obsolete) To settle, decide (an argument etc.).

* 1596 , (Edmund Spenser), (The Faerie Queene) , IV.3:

These warlike Champions, all in armour shine, / Assembled were in field the chalenge to define .

To express the essential nature of something.

*{{quote-magazine, year=2013, month=May-June, author=

, volume=101, issue=3, page=178, magazine=(American Scientist) , title= Crinkly Curves , passage=Cantor defined a one-to-one correspondence between the points of the square and the points of the line segment. Every point in the square was associated with a single point in the segment; every point in the segment was matched with a unique point in the square.}}

To state the meaning of a word, phrase, sign, or symbol.

To describe, explain, or make definite and clear.

To demark sharply the outlines or limits of an area or concept.

*{{quote-magazine, year=2012, month=March-April, author=(Jan Sapp)

, volume=100, issue=2, page=164, magazine=(American Scientist) , title= Race Finished , passage=Few concepts are as emotionally charged as that of race. The word conjures up a mixture of associations—culture, ethnicity, genetics, subjugation, exclusion and persecution. But is the tragic history of efforts to define groups of people by race really a matter of the misuse of science, the abuse of a valid biological concept?}}

(mathematics) To establish the referent of a term or notation.