DSpace Collection:
http://hdl.handle.net/11583/2614419
Sat, 19 Oct 2019 10:38:15 GMT2019-10-19T10:38:15ZThe Geometry of the Roman Torino, that is to say the Varatio of Augusta Taurinorum
http://hdl.handle.net/11583/2760892
Title: The Geometry of the Roman Torino, that is to say the Varatio of Augusta Taurinorum
Abstract: This work is proposing the use of the geometry based on rectangular triangles, the varatio, in the study of the planning of Roman Torino, that is, of Augusta Taurinorum. It is known that the planning of Roman towns was based on the centuriation, a grid of parallel and perpendicular streets, where the two main axes were the Decumanus and the Cardo. By means of the varatio, the angle the Decumanus was forming with the east-west direction was given by the ratio of the catheti of a rectangular triangle. In the case of Torino, the town planning seems based on the ratio of catheti 1:2, which is giving an azimuth of the decumanus (Via Garibaldi) of 116,565° from true north. This value is in good agreement with the measurement of the direction of this street.Tue, 01 Jan 2019 00:00:00 GMThttp://hdl.handle.net/11583/27608922019-01-01T00:00:00ZThe groupoids of Mersenne, Fermat, Cullen, Woodall and other Numbers and their representations by means of integer sequences
http://hdl.handle.net/11583/2758092
Title: The groupoids of Mersenne, Fermat, Cullen, Woodall and other Numbers and their representations by means of integer sequences
Abstract: In some previous works, we have discussed the groupoids related to the integer sequences of Mersenne, Fermat, Cullen, Woodall and other numbers. These groupoid possess different binary operators. As we can easily see, other integer sequences can have the same binary operators, and therefore can be used to represent the related groupoids. Using the On-Line Encyclopedia of Integer Sequences (OEIS), we can also identify the properties of these representations of groupoids. At the same time, we can also find integer sequences not given in OEIS and probably not yet studied.Tue, 01 Jan 2019 00:00:00 GMThttp://hdl.handle.net/11583/27580922019-01-01T00:00:00ZThe groupoid of the Triangular Numbers and the generation of related integer sequences
http://hdl.handle.net/11583/2757752
Title: The groupoid of the Triangular Numbers and the generation of related integer sequences
Abstract: Here we discuss the binary operators of the set made by the triangular numbers, sequence A000217, in the On-Line Encyclopedia of Integer Sequences (OEIS). As we will see, by means of these binary operators we can obtain related integer sequences. Here we propose some of them. The sequences, except one, are given in OEIS.Tue, 01 Jan 2019 00:00:00 GMThttp://hdl.handle.net/11583/27577522019-01-01T00:00:00ZA Binary Operator Generated by Homographic Function
http://hdl.handle.net/11583/2756292
Title: A Binary Operator Generated by Homographic Function
Abstract: In this work we are discussing the binary operator that we can generated by homographic function. By means of this operator, that we can see as a generalized sum, we can create a group.Tue, 01 Jan 2019 00:00:00 GMThttp://hdl.handle.net/11583/27562922019-01-01T00:00:00Z