an introduction to the theory of numbers - leo moser

... immediately the following theorems: The number of partitions of n into m partsisequaltothenumberofparti- tions on n into parts the largest of which is m; The number of partitions of n into not more than ... 1  (Catalan); (2) The number of compositions of n into even parts is 2 n 2 − 1 if n is even and 0 if n is odd; (3) The number of compositions of n into an...

Ngày tải lên: 31/03/2014, 16:21

... other things, the concepts of characters and L-functions, and of class numbers of quadratic forms, and it has been of far-reaching significance in the history of mathematics. Two notorious unsolved ... Further reading The theories here date back to the DisquWtiones arith- meticae of Gauss, and they are covered by numerous texts. An excellent account of the h...

Ngày tải lên: 31/03/2014, 16:20

... of the teleological theory of representation over the causal theory may encourage us to try to extend it to the case of mental representation, that is, to the attitudinal states of subjects of ... causal theory of content to solve the problem of misrepresentation, then it begins to look as though the causal theory is doomed to failure. Nor shoul...

Ngày tải lên: 21/09/2012, 10:39

... what they say about this. Secondly, if they mean to abandon reasoned argument alto- gether, even in defence of their own position, then I have Introduction 5 nothing more to say to them because they ... concerned with the analysis of such concepts as the concepts of percep- tion, thought and intentional agency. The philosophical ana- lysis of a concept is not to be con...

Ngày tải lên: 01/11/2013, 07:20

... causal theory of content to solve the problem of misrepresentation, then it begins to look as though the causal theory is doomed to failure. Nor should we forget that the theory is also beset by other ... instance, that the problem of mis- representation can be overcome by referring to the normal causes of a given type of belief rather than simply to the...

Ngày tải lên: 01/11/2013, 07:20

... machinery. But rejection of any type–type theory of mental and physical states is consistent with acceptance of a token–token theory, that is, a theory according to which any token mental state, such ... doctrine, some of its proponents regarding it more as an account of our concepts of mental states than as a theory of the nature of mental states themselves. An...

Ngày tải lên: 01/11/2013, 07:20

... this is passed to the other tank and the same amount of water is let into or out of it. But a much easier solution is to place the two tanks on the same level and join them by an inter- connecting ... to the causal theory – the disjunctive theory – but concluded that it does not have any significant advantages over the causal theory and has, besides, certain dis...

Ngày tải lên: 01/11/2013, 07:20

... because it allows the animal to restore the effectiveness of its core regula- tory systems. At the same time, the brain—mind is off-line and free to reorganize its cognitive repertoire as well as ... release and/or heightened effectiveness of dopamine), we can hypothe- size an indirect but positive interaction with the other modula- tors of the awake state, noradren...

Ngày tải lên: 24/01/2014, 08:20

... "man" of the Archbishop of Rheims. He was also the vassal of the Archbishop of Sens, of four other neighboring bishops, and of the abbot of the great monastery of St. Denis. To all of these ... combine the idea of the comitatus with the idea of the beneficium, and to grant the usufruct of parcels of their land on condition that the...

Ngày tải lên: 16/02/2014, 23:20

... α −β and β/ α −β . Figure 2.6 illustrates how the relative values of α and β affect the asymp- totic growth of the function. Boxes in the gures correspond to problem sizes for a divide-and-conquer ... dened only on the integers. Putting these together, we get a result that is useful for the analysis of a variety of algorithms. eorem 2.6 (Divide-and-conquer sequences)....

Ngày tải lên: 19/02/2014, 20:20