Examples of using Class number in English and their translations into Greek
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Computer
This is class number two.
You're going to be in my class, number 4.
The class number formula relates h to other fundamental invariants of F.
Okay, you will be leaving by class number.
Given a number field, the class number is often difficult to compute.
One way to prove it would be to show that as the discriminant D→-∞ the class number h(D)→∞.
The lower half the class number and the compatibility group letter.
By default, the class name is copied from the Course Name and Class Number fields defined in SIS or SFTP.
Unlike class_id, class_number isn't used to refer to this class in CSV rosters.
Describe the level characteristics here, for example:"Grade 3- Easy","Year 6- Medium", or"Class number 102- Additions up to 10".
The class number of G is the number of distinct(nonequivalent) conjugacy classes. .
The order of the class group is called the class number, and is often denoted by the letter h.
The class number formula states that ζF(s) has a simple pole at s= 1 and at this point the residue is given by.
The only thing I didn't explain was that proving the class number formula was most of the way to Fermat's last theorem.
So Flach, using ideas of Kolyvagin,had made a very significant first step in actually producing the class number formula.
It follows that Pic(R) is a finite group(finiteness of class number) that measures the deviation of the ring of integers from being a PID.
The ring of integers OF possesses unique factorization if and only if it is a principal ring or, equivalently,if F has class number 1.
The failure of unique factorization is measured by the class number, commonly denoted h, the cardinality of the so-called ideal class group.
The class number problem, going back to Gauss, is concerned with the existence of imaginary quadratic number fields(i.e., Q(√),"d"≥ 1) with prescribed class number.
SD cards, including the micro type,are divided into classes-2, 4, 6, and 10-where the class number denotes minimum write speed.
Middle class numbers will almost double to nearly five billion as wealth creation makes aviation even more accessible particularly in emerging economies where spending on air travel services is set to double.
An important feature of the scheme is the ability to assign multiple class numbers to a bibliographical item and only use one of them for shelving.
This is the conjecture(first stated in article 303 of Gauss's Disquisitiones Arithmeticae)that there are only a finite number of imaginary quadratic fields with a given class number.
Iwasawa theory was supposed to help create something called a class number formula, but several months passed and the class number formula remained out of reach.
Well I explained at the beginning of the course that Flach had written this beautiful paper andI wanted to try to extend it to prove the full class number formula.
In a couple of papers in 1838 and 1839 Peter Gustav Lejeune Dirichlet proved the first class number formula, for quadratic forms(later refined by his student Leopold Kronecker).
Type of nuclide by stability class Number of nuclides in class Running total of nuclides in all classes to this point Notes Theoretically stable to all but proton decay 90 90 Includes first 40 elements.
Apple School Manager now names the Classes you manually create with a combination of the Class Number, Course Name, and/or Course Number. .
In 1913, Grönwall showed that the generalized Riemann hypothesis implies that Gauss's list of imaginary quadratic fields with class number 1 is complete, though Baker, Stark and Heegner later gave unconditional proofs of this without using the generalized Riemann hypothesis.
JOHN COATES told me about a wonderful new paper of Matthias Flach, a student of his,in which he had tackled a class number formula, in fact exactly the class number formula I needed.