We construct an example of a torus T over a field K for which the Galois symbol K(K;T, T )/nK(K;T, T ) → H(K,T [n] ⊗ T [n]) is not injective for some n. Here K(K;T, T ) is the Milnor K-group attached to T introduced by Somekawa. Introduction Let K be a field, m a positive integer and n an integer prime to the characteristic of K. Recently Rost and Voevodsky announced a proof of the bijectivity ...

The thesis of this paper is that in the digital age we are moving away from words and concepts characteristic print age, towards use images symbols. I distinguish between objective symbols as mathematics, cultural poetry religion. Students must learn to move recognizing rules language internalizing norms culture, according analogy learning. Ricoeur’s theory interpretation explains passage recog...

the subject of womanhood is an attempt to explain why the woman is a symbol of self. i will start the paper with the story of “a’arabi and the caliph” from the view point of symbol and then i will continue with the definition of self, symbol, why the woman is a symbol of self as it is believed by mystics. the allegorical result based on najm razi’s theory shows the accompaniment of self with wi...

Sushil Bhattacharjee Gladys Monagan Institut f ur Informationssysteme Swiss Federal Institute of Technology (ETH) ETH-Zentrum, CH-8092 Zurich, Switzerland ABSTRACT A hybrid (statistical/structural) approach is presented, for scaleand orientation-invariant recognition of multi-component cartographic symbols. A decision-tree classi er (DTC) is used to identify the shapes of the individual compon...

In code division multiple access (CDMA), two or more chips are grouped together to form symbols and each symbol is transmitted during the symbol period. The phase shift keying (PSK) modulation techniques map the digital baseband data into two or more possible signals by varying the phase of a radio frequency (RF) carrier. The recently proposed PSK scheme called ternary PSK (TPSK) scheme can con...

Motivated by the splitting principle, we define certain simplicial complexes associated to an associative ring A, which have an action of the general linear group GL(A). This leads to an exact sequence, involving Quillen’s algebraic K-groups of A and the symbol map. Computations in low degrees lead to another view on Suslin’s theorem on the Bloch group, and perhaps show a way towards possible g...

Given a compact Riemannian manifold (M,g) with smooth boundary ∂M, we give an explicit expression for the full symbol of thermoelastic Dirichlet-to-Neumann map Λg variable coefficients λ,μ,α,β∈C∞(M¯). We prove that uniquely determines partial derivatives all orders these on ∂M. Moreover, nonempty open subset Γ⊂∂M, suppose and are real analytic up to Γ. show whole M¯.

The Representational Epistemic approach to the design of notations and visualizations is used to create a new design transit map that is a fundamental departure from the near universal format that has nodes for stations, lines for tracks and symbols for details. Instead the new design exploits a containernode-symbol-colour format for stations, tracks, details and identities. The London Undergro...

We show that topologically expansive Lorenz maps can be described up to topological conjugacy by their kneading invariants. We also give a simple condition on pairs of symbol sequences which is satisfied if and only if that pair of sequences is the kneading invariant for some topologically expansive Lorenz map. A simple extension of the theorems to the case of expansive maps of the interval wit...