Noun

(en noun)

A principle or example or measure used for comparison.

# A level of quality or attainment.

#*

, title=(The Celebrity), chapter=8 , passage=The humor of my proposition appealed more strongly to Miss Trevor than I had looked for, and from that time forward she became her old self again;

# Something used as a measure for comparative evaluations; a model.

#* (Jonathan Swift) (1667–1745)

the court, which used to be the standard of property and correctness of speech

#* (Edmund Burke) (1729-1797)

A disposition to preserve, and an ability to improve, taken together, would be my standard of a statesman.

# A musical work of established popularity.

# A rule or set of rules or requirements which are widely agreed upon or imposed by government.

# The proportion of weights of fine metal and alloy established for coinage.

#* (John Arbuthnot) (1667-1735)

By the present standard of the coinage, sixty-two shillings is coined out of one pound weight of silver.

# A bottle of wine containing 0.750 liters of fluid.

A vertical pole with something at its apex.

# An object supported in an upright position, such as a .

#* {{quote-book, year=1963, author=(Margery Allingham)

, chapter=Foreword, title= The China Governess , passage=‘It was called the wickedest street in London and the entrance was just here. I imagine the mouth of the road lay between this lamp standard and the second from the next down there.’}}

# The flag or ensign carried by a military unit.

#* Fairfax

His armies, in the following day, / On those fair plains their standards proud display.

# One of the upright members that supports the horizontal axis of a transit or theodolite.

# Any upright support, such as one of the poles of a scaffold.

# A tree of natural size supported by its own stem, and not dwarfed by grafting on the stock of a smaller species nor trained upon a wall or trellis.

#* Sir W. Temple

In France part of their gardens is laid out for flowers, others for fruits; some standards , some against walls.

# The sheth of a plough.

A manual transmission vehicle.

(botany) The upper petal or banner of a papilionaceous corolla.

(shipbuilding) An inverted knee timber placed upon the deck instead of beneath it, with its vertical branch turned upward from that which lies horizontally.

A large drinking cup.

(Greene)

Noun

(en noun)

A perfect standard of beauty, intellect etc., or a standard of excellence to aim at.

Ideals are like stars; you will not succeed in touching them with your hands. But like the seafaring man on the desert of waters, you choose them as your guides, and following them you will reach your destiny -

(mathematics, order theory) A non-empty]] lower set (of a partially ordered set) which is [[closure, closed under binary suprema (a.k.a. joins).^{[http://en.wikipedia.org/wiki/Boolean_prime_ideal_theorem#Prime_ideal_theorems]}

If (1) the empty set were called a "small" set, and (2) any subset of a "small" set were also a "small" set, and (3) the union of any pair of "small" sets were also a "small" set, then the set of all "small" sets would form an ideal .

(for example, algebra) A subring closed under multiplication by its containing ring.

Let $\backslash mathbb\{Z\}$ be the ring of integers and let $2\backslash mathbb\{Z\}$ be its ideal of even integers. Then the quotient ring $\backslash mathbb\{Z\}\; /\; 2\backslash mathbb\{Z\}$ is a Boolean ring.

The product of two ideals $\backslash mathfrak\{a\}$ and $\backslash mathfrak\{b\}$ is an ideal $\backslash mathfrak\{a\; b\}$ which is a subset of the intersection of $\backslash mathfrak\{a\}$ and $\backslash mathfrak\{b\}$. This should help to understand why maximal ideals' are prime ' ideals . Likewise, the union of $\backslash mathfrak\{a\}$ and $\backslash mathfrak\{b\}$ is a subset of $\backslash mathfrak\{a\; +\; b\}$.