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The second volume, published in 1912 as Clarke's Technical Studies for Cornet, includes 190 exercises divided into ten studies with notes from the author suggesting how to practice them. Each of the ten studies concludes with an exercise serving as an étude , except for the ninth study, which lacks an exercise labeled as such, and the tenth ...
The value of n is then the period of the decimal expansion of 1/p. [10] At present, more than fifty decimal unique primes or probable primes are known. However, there are only twenty-three unique primes below 10 100. The decimal unique primes are 3, 11, 37, 101, 9091, 9901, 333667, 909091, ... (sequence A040017 in the OEIS).
A description of the EGA appeared in Diabetes Care in 1987. [2] Eventually, the EGA became accepted as one of the “gold standard” techniques for determining the accuracy of blood glucose meters.
This gives the following triplets of possible solutions: ... 2: 2: 9: 13: 2: 3: 6: 11 3: 3: 4: 10 Using the same argument as before it becomes clear that the number ...
[1] [2] However the multiplicity equals the number of spin orientations only if S ≤ L. When S > L there are only 2L+1 orientations of total angular momentum possible, ranging from S+L to S-L. [2] [3] The ground state of the nitrogen atom is a 4 S state, for which 2S + 1 = 4 in a quartet state, S = 3/2 due to three unpaired electrons. For an S ...
The following table shows the largest known AP-k with the year of discovery and the number of decimal digits in the ending prime. Note that the largest known AP- k may be the end of an AP-( k +1). Some record setters choose to first compute a large set of primes of form c · p #+1 with fixed p , and then search for AP's among the values of c ...
The second law is offered as a simple observation in the same essay but its status as Clarke's second law was conferred by others. It was initially a derivative of the first law and formally became Clarke's second law where the author proposed the third law in the 1973 revision of Profiles of the Future, which included an acknowledgement. [4]
In addition to calculating π, Shanks also calculated e and the Euler–Mascheroni constant γ to many decimal places. He published a table of primes (and the periods of their reciprocals) up to 110,000 and found the natural logarithms of 2, 3, 5 and 10 to 137 places. During his calculations, which took many tedious days of work, Shanks was ...