![arXiv:math/0607274v2 [math.GT] 21 Jun 2007](http://s1.studyres.com/store/data/004624723_1-689e7c37d19114c6d0cb2b7e64bf5915-300x300.png)
arXiv:math/0607274v2 [math.GT] 21 Jun 2007
... If A is a pencil of lines, then M is a connected sum of n copies of S 1 × S 2 . Otherwise, M is aspherical, and so the homotopy type of M is encoded in its fundamental group. Using the graph manifold structure, and a method due to Hirzebruch [21], Westlund finds a presentation for the group G = π1 ( ...
... If A is a pencil of lines, then M is a connected sum of n copies of S 1 × S 2 . Otherwise, M is aspherical, and so the homotopy type of M is encoded in its fundamental group. Using the graph manifold structure, and a method due to Hirzebruch [21], Westlund finds a presentation for the group G = π1 ( ...
Algebraic Geometric Coding Theory
... block so that the block has an even number of 1’s. If the data is contaminated at only one place during transmission, then the received block of data will have an odd number of 1’s. This tells the receiver that the data has been affected by noise, so that retransmission may be requested. The parity ...
... block so that the block has an even number of 1’s. If the data is contaminated at only one place during transmission, then the received block of data will have an odd number of 1’s. This tells the receiver that the data has been affected by noise, so that retransmission may be requested. The parity ...
the golden section in the measurement theory
... sequence while solving the well-known problem of rabbits' multiplying which was presented in his book "Liber Abaci" published in 1202. The essence of the problem is this: suppose there is one pair of rabbits in an enclosure on the first day of January; this pair will produce another pair of rabbits ...
... sequence while solving the well-known problem of rabbits' multiplying which was presented in his book "Liber Abaci" published in 1202. The essence of the problem is this: suppose there is one pair of rabbits in an enclosure on the first day of January; this pair will produce another pair of rabbits ...
logs defined
... LOGARITHMS We have learnt indices or exponents in the algebra material. If you haven’t check then, we recommend you to do so. We will need those concepts for progressing with logs. The idea of logarithms (or simply logs) is based on indices. In fact, as you will find out very soon, the rules for log ...
... LOGARITHMS We have learnt indices or exponents in the algebra material. If you haven’t check then, we recommend you to do so. We will need those concepts for progressing with logs. The idea of logarithms (or simply logs) is based on indices. In fact, as you will find out very soon, the rules for log ...
