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Page "Recurrence relation" ¶ 93
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all and cases
Telephones, Teletypes, several kinds of radio systems and, in some cases, television, link all vital points.
Background spectra were obtained in all cases.
In all cases there was readily measurable exchange after as little as one hour of illumination.
In all cases, most of the activity lay in the region of high anionic binding capacity.
This was particularly noticeable in group A and group B sera, in which cases activity in Regions 1 and 2 was usually not detectable without prior concentration and occasionally could not be detected at all.
In all cases the activity against Af cells was spread over a wider area than that with Af cells, regardless of the type of test ( saline, albumin, indirect Coombs ) used for comparison.
In all cases a disturbing amount of nonspecific staining was still present although it was still distinguishable from specific fluorescence.
In all cases studied tissues of the stem on which the tumor had developed did not contain detectable amounts of WTV antigen.
Wage-price policies of industry are the result of a complex of forces -- no single explanation has been found which applies to all cases.
These cases, for all their rarity, are so dramatic that friends and relations repeat the story until the general population may get an entirely false notion of how often the hymen is a serious problem to newly-weds.
`` This very seldom happens in this class or in other cases, and of course all of these matters led to a volume and an expense of the record beyond what ordinarily would occur ''.
Under the new rules, testimony is taken orally in open court in all cases except those of an extraordinary character.
If we add to these contacts with friendly members the `` contacts with an organization of the church '' ( 11.2 per cent of the cases ), then a substantial two thirds of all recruitment is through friendly contact.
In rare cases, diseases such as encephalitis or a pituitary tumor may damage the appestat permanently, destroying nearly all sense of satiety.
However, in 1816, Thomas lost all of his land in court cases because of faulty property titles.
Thus, during the abdication crisis of 1936, caused by Edward VIII's desire to marry Wallis Simpson, the consent of all realms concerned, along with, in some cases, new acts of parliament, was required in Britain and throughout the British Dominions to allow for Edward's stepping aside and to ensure that if he had any children they would have no claim to the thrones.
Lookup, insertion, and deletion all take O ( log n ) time in both the average and worst cases, where n is the number of nodes in the tree prior to the operation.
In the United States, however, personally retained counsel have had a right to appear in all federal criminal cases since the adoption of the Constitution and in state cases at least since the end of the Civil War, although nearly all provided this right in their state constitutions or laws much earlier.
However, not all consoles are compatible due to differences in cart slots and cases.
Severe cognitive problems are common ; approximately 10 percent of all dementia cases are related to alcohol consumption, making it the second leading cause of dementia.
Sometimes the sale of certain types of merchandise was prohibited, and in some cases all retail and business activity.
Packets may be 1, 3 or 5 slots long but in all cases the master transmit will begin in even slots and the slave transmit in odd slots.

all and
Lincoln denounced the decision, alleging it was the product of a conspiracy of Democrats to support the Slave Power Lincoln argued, " The authors of the Declaration of Independence never intended ' to say all were equal in color, size, intellect, moral developments, or social capacity ', but they ' did consider all men created equal equal in certain inalienable rights, among which are life, liberty, and the pursuit of happiness '.
Lincoln was a master politician, bringing together and holding together all the main factions of the Republican Party, and bringing in War Democrats such as Edwin M. Stanton and Andrew Johnson as well.
Generally, there is no trial in an appellate court, only consideration of the record of the evidence presented to the trial court and all the pre-trial and trial court proceedings are reviewed unless the appeal is by way of re-hearing, new evidence will usually only be considered on appeal in " very " rare instances, for example if that material evidence was unavailable to a party for some very significant reason such as prosecutorial misconduct.
The complete prosthesis would consist of the stump attachment system usually a " socket ", and all the attachment hardware parts all the way down to and including the foot.
In later Pahlavi papyri, up to half of the remaining graphic distinctions of these twelve letters were lost, and the script could no longer be read as a sequence of letters at all, but instead each word had to be learned as a whole that is, they had become logograms as in Egyptian Demotic.
In German, words starting with sch-( constituting the German phoneme ) would be intercalated between words with initial sca-and sci-( all incidentally loanwords ) instead of this graphic cluster appearing after the letter s, as though it were a single letter a lexicographical policy which would be de rigueur in a dictionary of Albanian, i. e. dh -, ë -, gj -, ll -, rr -, th -, xh-and zh-( all representing phonemes and considered separate single letters ) would follow the letters d, e, g, l, n, r, t, x and z respectively.
German words with umlaut would further be alphabetized as if there were no umlaut at all contrary to Turkish which allegedly adopted the German graphemes ö and ü, and where a word like tüfek, " gun ", would come after tuz, " salt ", in the dictionary.
" We never challenged the expulsions themselves ; we challenged the way they were being conducted all the beating of people and looting their goods, even sometimes their clothes ," Mende said.
His fellow students there were 38 in all included young Samuel I. Hayakawa ( later to become a Republican member of the U. S. Senate ), Ralph Moriarty deBit ( later to become the spiritual teacher Vitvan ) and Wendell Johnson ( founder of the Monster Study ).
The 21st chapter was omitted from the editions published in the United States prior to 1986 .< ref > Burgess, Anthony ( 1986 ) A Clockwork Orange Resucked in < u > A Clockwork Orange </ u >, W. W. Norton & Company, New York .</ ref > In the introduction to the updated American text ( these newer editions include the missing 21st chapter ), Burgess explains that when he first brought the book to an American publisher, he was told that U. S. audiences would never go for the final chapter, in which Alex sees the error of his ways, decides he has lost all energy for and thrill from violence and resolves to turn his life around ( a slow-ripening but classic moment of metanoia the moment at which one's protagonist realises that everything he thought he knew was wrong ).
" The Old Testament is responsible for more atheism, agnosticism, disbelief call it what you will than any book ever written ; it has emptied more churches than all the counter-attractions of cinema, motor bicycle and golf course.
Ammonius asks Plutarch what he, being a Boeotian, has to say for Cadmus, the Phoenician who reputedly settled in Thebes and introduced the alphabet to Greece, placing alpha first because it is the Phoenician name for ox which, unlike Hesiod, the Phoenicians considered not the second or third, but the first of all necessities.
The Swiss Confederate mobilized its troops the country follows the doctrine of " armed neutrality " with all males required to have military training a number that General Eisenhower estimated to be about 850, 000.
This information, known as a program or brief, is essential to producing a project that meets all the needs and desires of the owner it is a guide for the architect in creating the design concept.
Similar to the view of Leopold Kronecker that " God made the integers ; all else is the work of man ," musicians drawn to the alphorn and other instruments that sound the natural harmonics, such as the natural horn, consider the notes of the natural harmonic series particularly the 7th and 11th harmonics to be God's Notes, the remainder of the chromatic scale enabled by keys, valves, slides and other methods of changing the qualities of the simple open pipe being an artifact of mere mortals.
But if I have not, not even all the statues in the world the products of vulgar, worthless men would make any difference.

all and real
But with Bill O'Connor on the fiddle, and Gran Harrow exuberantly shouting `` Glory Be '' and `` Hallelujah '' above their united chant of the lilting old ballads, they played their quaint folk games with all the fervor and abandon of a real celebration.
A contrast of the scripture reading of, let us say, St. Augustine, John Bunyan, and Thomas Jefferson, all three of whom found in such study a real source of enlightenment, can tell us a great deal about these three men and the age that each represented and helped bring to conscious expression.
and among works of dystopian science fiction, not all provide intelligent criticism and very few have much merit as literature -- but then real quality has always been scarce in science fiction.
In the interim between now and next year, we trust the House and Senate will put their minds to studying Georgia's very real economic, fiscal and social problems and come up with answers without all the political heroics.
It seems to me that N.C., in his editorial `` Confrontation '' ( SR, Mar. 25 ), has hit upon the real problem that bothers all of us in a complex world: how do we retain our personal relationship with those who suffer??
one who is thoroughly human, who affects no dignity, and who is endowed with real ability, genuine worth, and sterling honesty -- all dedicated to secure the best interests of the country he has loved and served so long.
Rhode Island law specifies that all real estate is taxable in the town in which it is situated.
Let N be a positive integer and let V be the space of all N times continuously differentiable functions F on the real line which satisfy the differential equation Af where Af are some fixed constants.
Nevertheless, with a reading public that longs for the `` good old days '' and with an awareness of our expanding international interests, it is easy for the Benets to obtain a magnified position in literature by use of all sorts of Americana, real or fake, and it is easy for the Steinbecks and Sandburgs to support their messages of reform by reading messages of reform into the minds of the folk.
) And know, while all this went on, that there was no real reason to suppose that the murderer had been a guest in either hotel.
Stacy replied that it would bankrupt Forbes, who had just sunk all his money in a real estate venture.
I think you fell short of the real truth in the matter: That the move is working out through the fine cooperation of the staff and all the people.
For all involved in this discussion the devil is a real entity who can really be confronted in the woods on a dark night, the demon world is populated with real creatures, and witches actually can be seen flying through the air.
What was lacking was a real sense of phrase, the kind of legato singing that would have added a dimension of smoothness to what is, after all, a very oily character.
After the spate of female vocalists we have been having, all of whom took Sarah as a point of departure and then tried to see what they could do that might make her seem old hat, it seemed that all that has happened is to make the real thing seem better than ever.
For example, suppose that X is the set of all non-empty subsets of the real numbers.
While most everyone has an experience with anxiety at some point in their lives, as it is a common reaction to real or perceived threats of all kinds, most do not develop long-term problems with anxiety.
As an example, the field of real numbers is not algebraically closed, because the polynomial equation x < sup > 2 </ sup > + 1 = 0 has no solution in real numbers, even though all its coefficients ( 1 and 0 ) are real.
Numbers such as π that are not algebraic are said to be transcendental ; almost all real and complex numbers are transcendental.
What real wrong is there, after all, in destroying a synagogue, a ' home of perfidy, a home of impiety ,' in which Christ is daily blasphemed?
* The use of " real " ( floating-point ) numbers for all math operations created unnecessary overhead and degraded performance.

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