Others put forward included Alfonso VII, king of Castile, who as a foreign king found little support, and the choice of the Navarrese nobility, Pedro of Atarés, grandson of Sancho Ramírez, Count of Ribagorza, the illegitimate son of Ramiro I of Aragon.

The disagreement between Polish landlords of Lesser Poland on one side and landlords of Greater Poland on the other, regarding the choice of the future King of Poland, finally ended in choosing the Lithuanian side ; the support of the lords of Greater Poland was not enough to give Prince Sigismund the Polish crown.

The shugo lords really had little choice in the matter.

The school of medicine owed its success to a policy of the Guilhem lords of Montpellier, by which any licensed physician might lecture there: with no fixed limit to the number of teachers, lectures multiplied, and there was a great choice of teachers.

Kyawswa had no choice but to recognize them as lords of Kyaukse.

When consensus could not be reached on locating the Bank in London, Brussels or Amsterdam, the choice fell on Switzerland.

The choice then fell to the Brewers, who, on November 6, 1997, elected to move to the National League's Central Division.

Otto's elder brother, Henry, was on a crusade at the time, and so the choice fell to Otto.

Their choice fell upon Cencio Camerario, who accepted the tiara with reluctance and took the name of Honorius III.

Their choice fell on Desiderius.

Their choice fell on Yuri, son of the murdered prince Andrei I Bogolyubsky of Vladimir-Suzdal, who then lived as a refuge among the Kipchaks of the North Caucasus.

Their choice first fell on one of the Este family.

At the baptism in November 1717, her husband fell out with his father over the choice of godparents, leading to the couple's placement under house arrest at St. James's Palace prior to their banishment from court.

The choice eventually fell to an unnamed Georgian princess, daughter of George VIII.

Romanos ' choice fell on an innkeeper's daughter named Anastaso, whom he married in 956 and renamed Theophano.

It is said the choice fell on Leiden as a reward for the heroic defence of Leiden against Spanish attacks in the previous year.

In Navarre, García Ramírez, a scion of the pre-union royal family of Navarre and protégé of Alfonso VII was chosen king, while in Aragon the choice fell on Ramiro, who suspended his monastic vows to take the crown.

The next day, after the aged Saturninius Secundus Salutius, praetorian prefect of the Orient, declined the purple, the choice of the army fell upon Jovian.

After the coalition fell apart in 1951, the government introduced the Alternative Vote, with the expectation that Conservative voters would list the Liberals as their second choice and vice versa.

The choice fell upon < span lang =" fr "> Sieyès </ span >, who had kept aloof from office and retained not only his immeasurable self-conceit but the respect of the public.

Moreover, Packer was not the first choice to take over the running of the family's business empire – his father had intended that Kerry's older brother Clyde Packer would take over the company, but Clyde fell out with his father in the early 1970s and left Australia permanently.

His choice fell on law, and he was thus led to the great school of Orléans ( 1478 ), and finally to Poitiers, where he became licentiate in July 1481.

Adelaide was a princess from an unimportant German state, but William had a limited choice of available princesses and, after deals with other candidates fell through, a marriage to Adelaide was arranged.

A suitable marriage, however, was necessary to reinforce his monarchy, and the choice fell on the fourteen-year-old Anne of Denmark, younger daughter of the Protestant Frederick II.

Her choice eventually fell on Prince Christian of Schleswig-Holstein ; however, the match was politically awkward, and caused a severe breach within the royal family.

The choice fell upon John, 8th Duke of Braganza, who had a claim to the throne of Portugal both through his grandmother Catherine of Guimarães, a legitimate granddaughter of King Manuel I, and through his great-great-grandfather, the 4th duke of Braganza, a nephew of King Manuel I. John was a modest man without particular ambitions to the crown.

The story follows her life in prison and how later she has to make a choice between her past love and a young prison doctor ( Dharmendra ) who fell in love with her.

His choice formally fell on old Bhai Buddha whose devotion was universally applauded.

Franco Zeffirelli was the first choice for director, and he met with Laurents, Sondheim, and Rodgers, who fell asleep during their discussion.

Leaving aside the choice of unilateral cessation of tests as neither sane nor clearly moral, the question must arise as to why resumption of atmospheric tests on our part would not be a good choice.

The inner panels do not have to be weatherproof, and the choice will depend on the quality of finish desired.

Poster Products Inc., Chicago, Ill.: a changeable copy and display sign which consists of an extruded impact styrene background in choice of colors, onto which are mounted snap-in letters, figures, or words screened on acetate or other types of sheet stock.

The resolution capabilities of an electrostatic system depend on both the choice of magnification and chromatic aberrations.

`` Chicago And All That Jazz '' could not be faulted on the choice of artists.

To fill Chief Justice Taney's seat on the Supreme Court, he named the choice of the Radicals, Salmon P. Chase, who Lincoln believed would uphold the emancipation and paper money policies.

Johnston, who had little choice in allowing Floyd and Pillow to take charge at Fort Donelson on the basis of seniority after he ordered them to add their forces to the garrison, took the blame and suffered calls for his removal because a full explanation to the press and public would have exposed the weakness of the Confederate position.

Van Emde Boas observes " even if we base complexity theory on abstract instead of concrete machines, arbitrariness of the choice of a model remains.

A choice function is a function f, defined on a collection X of nonempty sets, such that for every set s in X, f ( s ) is an element of s. With this concept, the axiom can be stated:

: For any set X of nonempty sets, there exists a choice function f defined on X.

Each choice function on a collection X of nonempty sets is an element of the Cartesian product of the sets in X.

Authors who use this formulation often speak of the choice function on A, but be advised that this is a slightly different notion of choice function.

Its domain is the powerset of A ( with the empty set removed ), and so makes sense for any set A, whereas with the definition used elsewhere in this article, the domain of a choice function on a collection of sets is that collection, and so only makes sense for sets of sets.

The result is an explicit choice function: a function that takes the first box to the first element we chose, the second box to the second element we chose, and so on.

Now it is easy to convince oneself that the set X could not possibly be measurable for any rotation-invariant countably additive finite measure on S. Hence one couldn't expect to find an algorithm to find a point in each orbit, without using the axiom of choice.

The restriction to ZF renders any claim that relies on either the axiom of choice or its negation unprovable.

In Martin-Löf type theory and higher-order Heyting arithmetic, the appropriate statement of the axiom of choice is ( depending on approach ) included as an axiom or provable as a theorem.

These results might be weaker than, equivalent to, or stronger than the axiom of choice, depending on the strength of the technical foundations.

For example, if we abbreviate by BP the claim that every set of real numbers has the property of Baire, then BP is stronger than ¬ AC, which asserts the nonexistence of any choice function on perhaps only a single set of nonempty sets.

His report of life there covers a wide range of topics, such as marriage in heaven ( where all angels are married ), children in heaven ( where they are raised by angel parents ), time and space in heaven ( there are none ), the after-death awakening process in the World of Spirits ( a place halfway between Heaven and Hell and where people first wake up after death ), the allowance of a free will choice between Heaven or Hell ( as opposed to being sent to either one by God ), the eternity of Hell ( one could leave but would never want to ), and that all angels or devils were once people on earth.

The solution to the puzzle as well as explaining the historical circumstances leading to the choice of the Agri Decumates as a defensive point and the concentration of Germans there are probably to be found in the German attack on the Gallic fortified town of Vesontio in 58 BC.

Johnson's " unwavering commitment to the Union " was a significant factor in making him Lincoln's choice as vice president on the Union Party's premier ticket that year.

The choice was unfortunate, for Theodahad fostered the disaffection of the Goths, and either by his orders or with his permission, Amalasuntha was imprisoned in the island of Martana in the Tuscan lake of Bolsena, where on 30 April in the spring of 534 / 535 she was murdered in her bath.