A real number a is first-order definable in the language of set theory, without parameters, if there is a formula φ in the language of set theory, with one free variable, such that a is the unique real number such that φ ( a ) holds in the standard model of set theory ( see Kunen 1980: 153 ).

At least 34 isotopes of hafnium have been observed, ranging in mass number from 153 to 186.

Also, National Express East Anglia named a British Rail Class 153 ( unit number 153335 ) after him.

By 1962, when the act was repealed, the number of schools protesting the clause was 153.

In 1971 Norman visited England for the first time, and lived in a house at 153 Park Lane, Carshalton, where he wrote a number of songs including " The Great American Novel ", and the as yet unreleased " Living on Park Lane ".

With the adoption of the current constitution in 1937 the membership of the Dáil was reduced from 153 to 138, but in the 1960s the number was increased to 144, only to be increased more substantially in 1981 to the current figure of 166.

The Electoral ( Amendment ) Act 2011 provides that the number of members " shall be not less than 153 and not more than 160 ".

By 1799 the number of " dower " slaves was 153, the number of Washington slaves was 124, and at least a dozen couples had intermarried.

Japan started its surveys in 1963, at which time the number of Japanese centenarians was found to be 153.

Those districts which had large rural proportions received a greater number of nominal votes than they actually contained voters – as an example, in 1927, Waipawa, a district without any urban population at all, received an additional 4, 153 nominal votes to its actual 14, 838 – having the maximum factor of 28 % extra representation.

* The Saros number of the lunar eclipse series which began on October 1, 1363 BC and ended on March 27, 153.

For this election the number of seats in the Dáil was reduced by 15 from 153 to 138 seats.

Master Li becomes suspicious about the fragment and discovers that it is actually real and that the ' mistakes ' are actually clues, such as the number of a dragon's scales ( 146, actually 153 ), the number of points in acupuncture ( 253, actually about 360 ) and so on.

Border still retains the world record for the number of consecutive Test appearances of 153 and the number of Tests as captain.

# redirect 153 ( number )

In the most recent data reported by the National Science Foundation, Pitzer College ranked 8th in the number of alumni who pursued a Ph. D. in psychology, 29th in the number of alumni who pursued a Ph. D. in anthropology, and 38th in the number of alumni who pursued a Ph. D. in sociology, compared with 153 other private colleges and universities.

Despite Dr. Josief's death soon after his presentation, research over the next few years raised the total number of these rock-hewn churches to 153.

the total number of full-time equivalent jobs was 153.

Interest has been shown for a number of years by local assessors in the possibility of taxing boats.

Though the number of people flowing in and out of our metropolitan areas each day has increased tremendously since World War 2,, total annual rail commutation dropped 124 million for 1947 to 1957.

Such additional daytime class 2, assignments are appropriate if optimum use is to be made of these frequencies, and the Commission has over the years made a large number of them.

Since then, there has been a notable increase in the number of stations and also the accumulation of additional data and the development of new techniques for using it, leading to a better understanding of propagation phenomena.

If your state has no provisions for the numbering of pleasure boats, you must apply for a number from the U.S. Coast Guard for any kind of boat with mechanical propulsion rated at more than 10 horsepower before it can be used on Federal waterways.

The huge market for changeable signs has spurred a universal demand for individual plastic letters, in all shapes and sizes -- and a number of companies are set up to supply them.

For the last two years, this frontier of the arts has produced a number of so-called `` non-dramas '' which have left indelible, bittersweet impressions on the psyche of this veteran theatregoer.

The importance of the inorganic constituents in hard-surface cleaning has been emphasized in a number of papers.

Upon consideration of the variety of soils and fabrics normally encountered in the washing process, it is little wonder that the use of a number of detergent constituents having `` synergistic '' properties has gained widespread acceptance.

Worse still, in a number of cases it has been claimed that the Psithyrus female kills the Bombus queen.

The bottom part of a burrow has a number of side tunnels or `` cells '', each of which is provided with an egg plus a store of beebread.

Nevertheless, the theory that the determining influence of the hypothalamic balance has a profound influence on the clinical behavior of neuropsychiatric patients has not yet been tested on an adequate number of patients.

The number of successes on each shot is a value of a random variable that has values 0 or 1, and there are 5 such random variables here.

Their sum is X, the total number of successes, which in this experiment has the value Af.

Though there is obviously great need for continued experimentation with various types of short-term intervention to further efforts in developing an operational definition of prevention at the secondary -- or perhaps, in some instances, primary -- level, the place of short-term intervention has already been documented by a number of investigators in a wide variety of settings.

There is some indication from a limited number of interviews with members of the population that the element of power, primarily the voluntary influence of non-authoritative power, has been exerted on actors in the system, particularly in regard to mate selection.

An advanced student has read a considerable number of descriptions of consonantal systems, including some of the more unusual types.

This carryover right has a number of things in common with a net operating loss carryover.

In West Virginia the number of white and Negro children attending the same school has increased almost twofold.

Moreover, whereas in Interstate Commerce Commission parlance `` variable cost '' means a cost deemed to vary in direct proportion to changes in rate of output, in the type of analysis now under review `` variable cost '' has been used more broadly, so as to cover costs which, while a function of some one variable ( such as output of energy, or number of customers ), are not necessarily a linear function.

He remarked: `` It has been clearly established that in a number of instances the message did not come from a spirit but was received telepathically by the medium from the sitter ''.

Mrs. Marr also has a number of parolees to `` mother '', watching to see that they do not break their parole and that they also learn to readjust to society.

The recent publicity attending the successful federal prosecution of a conspiracy indictment against a number of electrical manufacturers has evoked a new respect for the anti-trust laws that is justified neither by their rationale nor by the results they have obtained.

In this connection, it has been observed that the increasing number of Irish Catholics, priests and laity, in England, while certainly seen as good for Catholicism, is nevertheless a source of embarrassment for some of the more nationalistic English Catholics, especially when these Irishmen offer to remind their Christian brethren of this good.