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first and pentomino
If reflections of a pentomino are considered distinct, as they are with one-sided pentominoes, then the first and fourth categories above double in size, resulting in an extra 6 pentominoes for a total of 18.

first and problem
In the first place our business is foreign policy, and it is the business of the Presidential leadership and his appointees in the Department to consider the domestic political aspects of a problem.
The child with high anxiety may first direct his anxiety-released energy toward achievement, but because his distress severely reduces the abilities of discrimination and memorization of complex symbols, the child may fail in his initial attempts to master the problem.
By the time the child first attacks the actual problem of reading, he is completely familiar and at ease with all of the elements of words.
Hardly a window has been broken since Dunbar first was opened ( and vandalism in schools is a major problem in many slum areas ).
In the first place there is the obvious problem of recruiting high caliber personnel.
For the first time in history, the U.S. has produced a society in which less than one-tenth of the people turn out so much food that the Government's most embarrassing problem is how to dispose inconspicuously of 100 million tons of surplus farm produce.
Note: This list is limited to linguists who have worked specifically on the Altaic problem since the publication of the first volume of Ramstedt's Einführung in 1952.
This was the first launch delay in the Apollo program due to a technical problem.
The Muladi rebels were the first problem he confronted.
Colonel Kari Renko, an engineer at the Finnish Air Force, was quoted by Helsingin Sanomat as saying about this failure, " The problem involves the rocket engines which have been in use for decades " and that Finland first was told of the problems by the Americans about two years ago.
Athanasius ' first problem lay with the Meletians, who had failed to abide by the terms of the decision made at the First Council of Nicaea which had hoped to reunite them with the Church.
The problem is sometimes known as season cracking after it was first discovered in brass cartridge cases used for rifle ammunition during the 1920s in the Indian Army.
The first proof was given by (), where the formulation of the problem was attributed to Ulam.
SAT was the first known example of an NP-complete problem.
The Cook – Levin theorem states that the Boolean satisfiability problem is NP-complete, and in fact, this was the first decision problem proved to be NP-complete.
SAT was the first known NP-complete problem, as proved by Stephen Cook in 1971 ( see Cook's theorem for the proof ).
The term " Bayesian " refers to the 18th century mathematician and theologian Thomas Bayes, who provided the first mathematical treatment of a non-trivial problem of Bayesian inference.
Although player characters are substantially weaker than many of the dangers they face, the game is one of the first to encourage problem solving and outwitting obstacles, rather than out-fighting them.
The first theory about software was proposed by Alan Turing in his 1935 essay Computable numbers with an application to the Entscheidungsproblem ( decision problem ).
Gauss also made important contributions to number theory with his 1801 book Disquisitiones Arithmeticae ( Latin, Arithmetical Investigations ), which, among things, introduced the symbol ≡ for congruence and used it in a clean presentation of modular arithmetic, contained the first two proofs of the law of quadratic reciprocity, developed the theories of binary and ternary quadratic forms, stated the class number problem for them, and showed that a regular heptadecagon ( 17-sided polygon ) can be constructed with straightedge and compass.
Knowing the first bits of, one could calculate the halting problem for all programs of a size up to.
But as the halting problem is not generally solvable, and therefore calculating any but the first few bits of Chaitin's constant is not possible, this just reduces hard problems to impossible ones, much like trying to build an oracle machine for the halting problem would be.
The proof of this fact relies on an algorithm which, given the first n digits of Ω, solves Turing's halting problem for programs of length up to n. Since the halting problem is undecidable, Ω can not be computed.

first and written
When they were first written, there was evidently no thought of their being published, and those which refer to the writer's love for Mrs. Meynell particularly have the ring of truth.
Both Alfred Harcourt and Donald Brace had written him enthusiastic praise of Elmer Gantry ( any changes could be made in proof, which was already coming from the printer ) and they had ordered 140,000 copies -- the largest first printing of any book in history.
From the moment that Hino had first walked into the mission to ask for a job, any job -- his qualifications neatly written on a piece of paper in a precise hand -- he had been ready to become a Christian.
The address of the first cell and the number of cells used is written in the information cell for the form.
the `` sober opinion '' of his letter to Noyes, written when Hardy was eighty years old, is essentially that of his first `` philosophical '' notebook entry, made when he was twenty-five: `` The world does not despise us: it only neglects us '' ( Early Life, p. 63 ).
`` Disaffiliation '', by the way, is the term used by the critic and poet, Lawrence Lipton, who has written several articles on this subject, the first of which, in The Nation, quoted as Epigraph: `` We disaffiliate.
Although it was at the Battle of The Little Horn, about which more words have been written than any other battle in American history, that the 7th Cavalry first made its mark in history, the regiment was ten years old by then.
The jury asked Judge Cash to send in his written definition of the difference between first and second-degree murder and manslaughter.
In one thing the higher critics, like the modernists, however, overreached themselves, in claiming that the Gospel of John was not written in John's time but well after the first century, perhaps as late as 150 A.D..
And the best books by generals were not necessarily the first ones written.
After all, his wife had written most of his letters for him in those first lean days of Partlow Products.
Gershwin based An American in Paris on a melodic fragment called " Very Parisienne ", written in 1926 on his first visit to Paris as a gift to his hosts, Robert and Mabel Schirmer.
Ward had originally written the music, Materna, for the hymn O Mother dear, Jerusalem in 1882, though it was not first published until 1892.
Affidavits may be written in the first or third person, depending on who drafted the document.
It is first attested by an inscription dated to 1224 or 1225 AD and by the Secret History of the Mongols, written in 1228 ( see Mongolic languages ).
According to Lovecraft's " History of the Necronomicon " ( written 1927, first published 1938 ), Alhazred was:
Unlike the models mentioned above, Christie's Poirot was clearly the result of her early development of the detective in her first book, written in 1916 but not published until 1920.
It was first written in 1466 in the Škofja Loka manuscript.
Aphrodite figures as a secondary character in the Tale of Eros and Psyche, which first appeared as a digressive story told by an old woman in Lucius Apuleius ' novel, The Golden Ass, written in the second century AD.
Aventinus, whose name was real name is Johann or Johannes Turmair ( Aventinus being the Latin name of his birthplace ) wrote the Annals of Bavaria, a valuable record of the early history of Germany and the first major written work on the subject.
" Amazing Grace ", with the words written by Newton and joined with " New Britain ", the melody most currently associated with it, appeared for the first time in Walker's shape note tunebook Southern Harmony in 1847.
After the Circus Games, Caligula ordered written evidence of the court cases from Tiberius ’ treason trials to be brought to the Forum to be burnt, first being the cases of Agrippina and her two sons.
Aimoin's third work was the composition of books ii and iii of the Miracula sancti Benedicti, the first book of which was written by another monk of Fleury named Adrevald.
The life of Amalasunta was made the subject of a tragedy, the first play written by the young Goldoni and presented at Milan in ( 1733 ).
He designed the first set of Portuguese written laws.

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