The genuinely interesting question, then, becomes: What factors determine the degree of realism or distortion in conventional images of Jews??

In the final analysis, then, the user becomes either a bull or a bear in a given instance, notwithstanding any amount of forethought and calculation, however elaborate.

And little Zeme North, a Dora with real spirit and verve, was fascinating whether she was singing of her love for Floyd, the cop who becomes sewer commissioner and then is promoted into garbage, or just dancing to display her exuberant feelings.

" The problem then becomes that of constructing a well-ordering, which turns out to require the axiom of choice for its existence ; every set can be well-ordered if and only if the axiom of choice holds.

This wound typically becomes infected as a result of the normal presence of feces in the rectal area, and then develops into an abscess.

The first approach is to compute the statistical moments by separating the data into bins and then computing the moments from the geometry of the resulting histogram, which effectively becomes a one-pass algorithm for higher moments.

The steel then becomes heterogeneous, being formed of two phases ; the carbon ( carbide ) phase cementite, and ferrite ( iron ).

The momentum equation then becomes

116 .</ ref > When air condenses it becomes visible, as mist and then rain and other forms of precipitation, and as the condensed air cools Anaximenes supposed that it went on to form earth and ultimately stones.

The acquired chain then becomes defunct.

That is, after the period of the eons, all punishment will cease and death is overcome and then God becomes the all in each one ().

* 1960 – Burkina Faso, then known as Upper Volta, becomes independent from France.

If the balance factor becomes 0 then the height of the subtree has decreased by one and the retracing needs to continue.

If the balance factor becomes − 2 or + 2 then the subtree is unbalanced and needs to be rotated to fix it.

If the object point O is infinitely distant, u1 and u2 are to be replaced by h1 and h2, the perpendicular heights of incidence ; the sine condition then becomes sin u ' 1 / h1 = sin u ' 2 / h2.

The partnership which makes the last bid then becomes the " declaring side " and is said to have ' won ' the auction.

* If G is a locally compact Hausdorff topological group and μ its Haar measure, then the Banach space L < sup > 1 </ sup >( G ) of all μ-integrable functions on G becomes a Banach algebra under the convolution xy ( g ) = ∫ x ( h ) y ( h < sup >− 1 </ sup > g ) dμ ( h ) for x, y in L < sup > 1 </ sup >( G ).

After he becomes Clayface, he is then replaced by Ellen Yin ( also based on The Dark Knight Returnss character Ellen Yindel ).

Frasier Crane starts as a recurring character but then becomes a permanent character.

Lilith Sternin starts as a one-time character in the Season 4 episode, " Second Time Around " ( 1985 ), but then she becomes a recurring character since Season 5 ( 1986 – 87 ), although she is a permanent character for Seasons 10 and 11 ( 1991 – 93 ).

The condition number of ƒ at a point x ( specifically, its relative condition number ) is then defined to be the maximum ratio of the fractional change in ƒ ( x ) to any fractional change in x, in the limit where the change δx in x becomes infinitesimally small:

Following the usual pattern of omission, "( and ) pears " is then dropped and " stairs " becomes " apples ".

He makes a point of maintaining an emotional distance from the orphans, so that they can more easily make the transition into an adoptive family, but when it becomes clear that Homer is going to spend his entire childhood at the orphanage, Wilbur trains the orphan as an obstetrician and then comes to love him.

If S is an arbitrary set, then the set S < sup > N </ sup > of all sequences in S becomes a complete metric space if we define the distance between the sequences ( x < sub > n </ sub >) and ( y < sub > n </ sub >) to be, where N is the smallest index for which x < sub > N </ sub > is distinct from y < sub > N </ sub >, or 0 if there is no such index.

If y is a point where the vector field v ( y ) ≠ 0, then there is a change of coordinates for a region around y where the vector field becomes a series of parallel vectors of the same magnitude.

Thus the possibility of re-incorporating Portugal ( up to then Southern Galicia ) into a Kingdom of Portugal and Galicia as before was eliminated and Afonso became sole ruler ( Duke of Portugal ) after demands for independence from the county's church and nobles.

Afonso then turned his arms against the persistent problem of the Moors in the south.

Secure on the throne, Afonso III then proceeded to make war with the Muslim communities that still thrived in the south.

Afonso V then turned his attentions to North Africa.

* June 24 – Battle of São Mamede: King Afonso I of Portugal ( then Count of Portugal ) defeats his mother, Teresa of León, and gains control of the county, which thus becomes de facto independent.

Afonso then turned his arms against the persistent problem of the Moors in the south.

In 1168 Afonso again felt menaced by Ferdinand II's repopulation of the area of Ciudad Rodrigo: he then attacked Galicia, occupying Tui and the territory of Xinzo de Limia, former fiefs of his mother.

Philip then remarried, to Princess Matilda of Portugal, daughter of Afonso I, the first King of Portugal, and Maud of Savoy.

Unfortunately for the Jews, he decided that he wanted to marry Infanta Isabella of Aragon, then heiress of the future united crown of Spain ( widow of his nephew Prince Afonso ).

The ceremony was presided by José Neto, Cardinal of Lisbon, then exiled in Seville, who had baptized D. Manuel when he was the Prince Royal ; D. Manuel was also assisted by the Prince of Wales ( Edward VIII ) and King Afonso XIII of Spain, as well as representatives of the Royal Houses of Europe ( including Spain, Germany, Italy, France and Romania, in addition to the principalities and German kingdoms ).

In 1170, Sancho was knighted by his father, King Afonso I, and from then on he became his second in command, both administratively and militarily.

In 1246 recalcitrant nobles invited Sancho's brother Afonso, then living in France as Consort Count of Boulogne, to take the throne.

In Portugal, Afonso I of Portugal ( then Afonso Henriques, Count of Portugal ) declared himself King in 1139, continuing the Reconquista, thus founding both the Portuguese monarchy and the modern country of Portugal.

In 1469, King Afonso V of Portugal granted the monopoly of trade in the Gulf of Guinea to Lisbon merchant Fernão Gomes, including the exclusive trade of Aframomum melegueta, then called " malagueta " pepper-which was granted by 100 000 real-annually in exchange for exploring 100 miles of the coast of Africa a year for five years.

King John I had a first illegitimate son, Afonso, and a daughter Beatrice ; after marrying Philippa of Lancaster, John of Gaunt's daughter, and establishing the House of Aviz, they had a first boy ( died of young age ), a girl Isabella ( who became a famous duchess of Burgundy and Flanders ), then five boys who were grew up under the memories of the famous battle.

Philip then remarried, to Infanta Matilda of Portugal, daughter of Afonso I, the first King of Portugal, and Maud of Savoy.

This is followed by passages on the meaning of Portuguese nationality and then by an enumeration of the warrior deeds of the 1st Dynasty kings, from D. Afonso Henriques to D. Fernando.

Legend holds that Fernão Mendes ( a Braganção ) presumably kidnapped, then married, Sancha, daughter of Afonso Henriques and Teresa, obtaining with his dead the important defense of the region.

His plan was such a personal issue that he threw Afonso de Albuquerque in jail after being informed of the King's orders, then advancing to the battle.

Established as a proper village in 1532 by Martim Afonso de Sousa on what was then the Porto dos Escravos ( port of the slaves ), operated by three Portuguese colonists who trafficked on slaves captured by allied tribes, São Vicente is titled Cellula Mater ( Mother Cell ) of Brazil for being the first organized town in the country.

In 1338, during the reign of Afonso IV, it was once again transferred to Lisbon, from whence it returned in 1354, this time to the centre of the town which was then in full expansion.

Between 1513 and 1516, King Manuel I issued a new foral to Mafra, Ericeira and Cheleiros, and in 1519, conceded a foral to Enxara dos Cavaleiros, while confirming a foral to Gradil ( then originally donated by Afonso IV of Portugal in 1327 ).

In 1903 he was successively elected Senator and then President ( Governor ) of the state of Rio de Janeiro, remaining in the latter position until 1906, when he was elected vice-president under President Afonso Pena.