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So the logarithm cannot be defined for the whole complex plane, and even then it is multi-valued – any complex logarithm can be changed into an " equivalent " logarithm by adding any integer multiple of 2πi at will.
Some Related Sentences
So and logarithm
So the logarithm function is in fact a group isomorphism from the group ( R < sup >+</ sup >,< big >×</ big >) to the group ( R ,< big >+</ big >).
So and cannot
So with four complete Push-Pull Super-Sets No. 1, four of No. 2, four of No. 3 and four to six sets of the Incline Bench Press, you can see that Henri De Courcy has had a terrific mass-building, muscle-shaping, torso-defining workout that cannot be improved upon.
James's tone delighted Elizabeth, who responded: " So trust I that you will not doubt but that your last letters are so acceptably taken as my thanks cannot be lacking for the same, but yield them to you in grateful sort ".
So please forgive me, all those I love and may God forgive me too, but I cannot bear the agony and it best for everyone this way.
So a LORAN receiver which only receives two LORAN stations cannot fully fix its position — it only narrows it down to being somewhere on a curved line.
So presuming there is a god-like entity consciently taking actions, we cannot comprehend the limits of a deity's powers.
So, in any case there is a truth that God does not and cannot know, for knowledge implies true belief.
So the longer the study length, the lower the Pearl Index will be-and comparisons of Pearl Indexes from studies of different lengths cannot be accurate.
" So they learn from them ( the two Angels ) that by which they might cause a separation between a man and his wife ; and they cannot hurt with it any one except with Allah's permission, and they learned what harmed them and did not profit them, and certainly they know that he who bought it should have no share of good in the hereafter and evil was the price for which they sold their souls, had they but known this.
So, God, by nature logical and unable to violate the laws of logic, cannot make a boulder so heavy he cannot lift it because that would violate the law of non contradiction by creating an immovable object and an unstoppable force.
So, if everything man does is caused by events and facts outside his control, then he cannot be the ultimate cause of his actions.
So if it can be shown that the word means different things across different contexts of use, then cases where its meaning cannot be essentially defined as ' married bachelor ' seem to constitute counterexamples to this method of analysis.
So although grandmothers might not be necessary during good times, many grandchildren cannot survive without them during times of famine.
So then the women that are fair and tall are soon free to depart, but the uncomely have long to wait because they cannot fulfil the law ; for some of them remain for three years, or four.
So that in fine, I cannot write you in x sheets of paper the strange sight I saw there, organs and all destroyed.
::: So I ’ m not going to throw away my short allotment of life on a futile, silly hope, searching for something there simply cannot be, a completely blameless man — not among us mortals who must win our bread from the broad earth.
" So sentient is Tiresias, even in death ," observes Marina Warner " that he comes up to Odysseus and recognizes him and calls him by name before he has drunk the black blood of the sacrifice ; even Odysseus ' own mother cannot accomplish this, but must drink deep before her ghost can see her son for himself.
So in this case, the compiler cannot optimize division by two by replacing it by a bit shift, when the dividend could possibly be negative.
So and be
So Dandy Brandon trustingly entered the house with Delphine Lalaurie and trudged up the rear steps to the attic room which was to be his new home.
So far as the existing body of formal principle and procedure is concerned, categorical novelties are not to be anticipated in Jewish-Gentile relationships ; ;
So far as `` sacredness '' inheres in any aspect of creation it seems to me to be found in human personality, whether in Lambarene, Africa, or in Washington, D.C..
So, all in all, the infield can't be expected to supply the added improvement to propel the Birds from second to first.
So be it -- then we must embark on a crash program for 200-megaton bombs of the common or hydrogen variety, and neutron bombs, which do not exist but are said to be the coming thing.
So impressive were those serious years of study at the university that Hans later wrote, `` to be perfectly free, the young man must revel in the great kingdom of thought and imagination ; ;
So a quick count could be made at any time, even by an illiterate clerk, of the number of registered persons in four age-and-sex classes.
So it is with Great Expectations, whether the hands be Orlick's as he strikes down Mrs. Gargery or Pip's as he steals a pie from her pantry.
( So prevalent are these isolated peaks and ridges that a specialised term has been adopted in Germany to describe this kind of country, thought to be in great part the result of wind action.
So they decided to also develop their own alternative in the form of an improved floppy disk controller and printer interface that could be built right into a floppy disk enclosure.
) So requiring the system to be " closed " here is mathematically equivalent to zero external torque acting on the system:
(“ With So Little to be Sure Of ”) Word comes of a new miracle, two towns over, of a statue with a warm heart.
So if they were to be extended far enough they would seem to merge, at least as far as the eye could discern.
So, according to Obadiah there will not remain even a remnant after Edom ’ s judgment ; This is in contrast to Amos 9: 12, where Amos refers to such a remnant, however, it is stated that their possession will be given to Israel.