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then and since
From then on, in keeping with the traditions they had followed since childhood, the whole group settled down to relish their food.
Since then, and since the pure grain had gotten him divorced from every decent -- and even indecent -- group from Greenwich Village to the Embarcadero, he had become a sucker-rolling freight-jumper.
For lawyers, reflecting perhaps their parochial preferences, there has been a special fascination since then in the role played by the Supreme Court in that transformation -- the manner in which its decisions altered in `` the switch in time that saved nine '', President Roosevelt's ill-starred but in effect victorious `` Court-packing plan '', the imprimatur of judicial approval that was finally placed upon social legislation.
The young William Faulkner in New Orleans in the 1920's impressed the novelist Hamilton Basso as obviously conscious of being a Southerner, and there is no evidence that since then he has ever considered himself any less so.
Now and then, the President would call for `` Little Jack, Master of the Hounds '', which was his nickname for a messenger who had worked in the White House since Teddy Roosevelt's administration, and discuss the welfare of some one of the animals.
The crisis has been renewed since then but the confusion has hardly been compounded.
In this model, then, the industry is presumed to realize that they could successfully resist a change in the basic wage rate, but since such a change is the only effective means to raising prices they may, in circumstances to be spelled out in Part 2, below, find it to their advantage to allow the wage rise.
When he was told that no one had seen Burton since then, he thought of three other places that were possibilities.
On balance, prices of those bonds have slipped a bit since then.
At first, people indulge in fantasies, imagining the missing person's return, but then they start to feel like prisoners, drifting through life with nothing left but the past, since they do not know how long into the future their ordeal may last.
While Miss Marple is described as ' an old lady ' in many of the stories, her age is mentioned in " At Bertram's Hotel ", where it is said she visited the hotel when she was 14 and almost 60 years have passed since then.
and that has been its normal use since then.
England then achieved their first Ashes win at Lord's since 1934 to go 1 – 0 up.
Bolivia has been a completely landlocked country ever since then.
The mercy that Christ infused into Mosaic Law underlies the injury tariffs that figure so prominently in barbarian law codes, since Christian synods " established, through that mercy which Christ taught, that for almost every misdeed at the first offence secular lords might with their permission receive without sin the monetary compensation, which they then fixed.
The story of Ratoncito Pérez has been adapted into further literary works and movies since then, with the character of Alfonso XIII appearing in some.
Informally known as " The Big Book " ( with its first 164 pages virtually unchanged since the 1939 edition ), it suggests a twelve-step program in which members admit that they are powerless over alcohol and need help from a " higher power "; seek guidance and strength through prayer and meditation from God or Higher Power of their own understanding ; take a moral inventory with care to include resentments ; list and become ready to remove character defects ; list and make amends to those harmed, and then try to help other alcoholics recover.
If the rotation leaves the subtree's balance factor at 0 then the retracing towards the root must continue since the height of this subtree has decreased by one.
Since John Wesley ordained and sent forth every Methodist preacher in his day, who preached and baptized and ordained, and since every Methodist preacher who has ever been ordained as a Methodist was ordained in this direct " succession " from Wesley, then the Methodist Church teaches that it has all the direct merits coming from apostolic succession, if any such there be.
AZ's second championship was the first Eredivisie title in 28 years, and the first time since then that the Eredivisie was won by a team other than the " big three " ( Ajax, PSV and Feyenoord ).
It is the more remarkable that no incidents are recorded in the period between Marathon and Salamis, since at the time of the Isthmian Congress the war was described as the most important one then being waged in Greece,
The area had been under the rule of the Buddhist and then Hindu dynasty called the Kabul Shahis since the 5th century.
Later, navigation was stopped in 1904 and the canal has since then, been exclusively used for irrigation purposes only.
As of 1946 there were 390 known pairs, but the advent of computers has allowed the discovery of many thousands since then.

then and operator
( C ) if Af is the operator induced on Af by T, then the minimal polynomial for Af is Af.
If Af is the operator induced on Af by T, then evidently Af, because by definition Af is 0 on the subspace Af.
If Af are the projections associated with the primary decomposition of T, then each Af is a polynomial in T, and accordingly if a linear operator U commutes with T then U commutes with each of the Af, i.e., each subspace Af is invariant under U.
When Af for each i, we shall have Af, because the operator Af will then be 0 on the range of Af.
If T is a linear operator on an arbitrary vector space and if there is a monic polynomial P such that Af, then parts ( A ) and ( B ) of Theorem 12 are valid for T with the proof which we gave.
If D denotes the differentiation operator and P is the polynomial Af then V is the null space of the operator p (, ), because Af simply says Af.
If one quantizes a real scalar field, then one finds that there is only one kind of annihilation operator ; therefore, real scalar fields describe neutral bosons.
L is then an operator, specifically called the orbital angular momentum operator.
If there is a bounded linear operator from X onto Y, then Y is reflexive.
For example, in the Schrödinger picture, there is a linear operator U with the property that if an electron is in state right now, then in one minute it will be in the state, the same U for every possible.
) In other words, if A is a linear operator and is a ket, then is another ket.
Specifically, if A is a linear operator and is a bra, then is another bra defined by the rule
then this expression gives the expectation value, or mean or average value, of the observable represented by operator A for the physical system in the state.
If A is a self-adjoint operator, then is always a real number ( not complex ).
Another usage is in alluding to taboo words, as in the clapping game " Miss Susie ", which uses the break "... Hell /-o operator " to allude to the taboo word " Hell ", then replaces it with the innocuous " Hello "
If G is a group and X is a set, then a ( left ) group action of G on X is a binary operator:
Aside from written numerals, the first aids to computation were purely mechanical devices which required the operator to set up the initial values of an elementary arithmetic operation, then manipulate the device to obtain the result.
During the Second World War Wyndham first served as a censor in the Ministry of Information, then joined the army, serving as a Corporal cipher operator in the Royal Corps of Signals.
A US Army Special Forces operator, fresh from three weeks of combat, then gave up his bed so that the wounded Lindh could sleep there.
If negation is cyclic and "∨" is a " max operator ", then the law can be expressed in the object language by ( P ∨ ~ P ∨ ~~ P ∨ ... ∨ ~...~ P ), where "~...~" represents n − 1 negation signs and "∨ ... ∨" n − 1 disjunction signs.
Then – in the only paid employment he ever had – he took a job as a telegraph operator with the Great Northern Telegraph Company working first in Denmark and then in Newcastle-upon-Tyne, and was soon made a chief operator.

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