# ȊwZ~i[ 2009

12 25 @ Gs (w)
General heart construction on a triangulated category

As shown by Koenig and Zhu, the quotient of a triangulated category by a cluster tilting subcategory becomes an abelian category. On the other hand, as is well known since 1980s, the heart of any $t$-structure is abelian. In this talk, we make a simultaneous generalization of these two constructions. We consider a pair $(\mathcal{U},\mathcal{V})$ of subcategories with some conditions, which generalizes a $t$-structure and a cluster tilting subcategory. As a main theorem, we associate a subquotient abelian category to any such a pair. This gives back the heart and the quotient abelian category, respectively in the above two cases. Moreover, we can construct an essentially surjective cohomological functor from the original triangulated category to the subquotient abelian category. This functor generalize the canonical cohomology functor for a $t$-structure.

11 4 @Dini Adni Navastara (Sepuluh Nopember Institute of Technology, Surabaya, Indonesia)
CORTICAL BONE WIDTH MEASUREMENT BASED ON ACTIVE SHAPE MODELS (ASM) METHOD

Information on the morphological changes in dental panoramic radiograph is needed to detect various diseases, including osteoporosis. Doctors often perform a cortical bone width measurement manually to estimate the risk of certain bone diseases for a patient. The greatest obstacle in the manual measurement is the different measurement of the variable tendency of each doctor. Beside that, It will take a long time process. One part is quite difficult to measure automatically the width of cortical bone because of uneven illumination and noise disturbance to the image.
This paper proposes a new system that can automatically measure the width of cortical bone by using Active Shapes Model (ASM) method. Measurements were taken at the boundary between the results of fitting statistical models generated by the ASM method and the object in the image. In this paper also discussed how the optimal number of sample points to form a shape of the object of cortical bone.
In experiment of 100 dental panoramic images obtained by the optimal number of points in the training set is 50 points. The correlation between measurement of this system and manual measurement is 90%.

6 30 @Baofeng FengiThe University of Texas-Pan Americanj
Interaction of discrete breathers in Fermi-Pasta-Ulam chain

The inelastic nature and the resulting energy exchange in collisions of intrinsic localized modes, or discrete breathers, has been an open problem for quite a while. In this talk, a regularized PDE model for discrete breathers in Fermi-Pasta-Ulam chain will be proposed. Breather solutions are obtained via a variational approach, and their interactions are explored numerically. Then, based on the modified conservation law, a simplified ODE model is derived from the PDE model. The direct simulations for the ODE model achieve a good agreement with the numerical results in FPU lattice.

5 13 @Ζ@mqiLwwȐqwUj
veI[w

ߔNAʕ́iMSjƃf[^x[XiDBjg ݍ킹veI[͂ɂAזEgDŔĂ鐔 ނ̃^pN𓯒肷邱Ƃ\ ȂBł͒ʏAʕ͂œyvh̕z pA^pNA~m_zDBɑ΂ĊmvI ȍlɊÂsƂŁA ̃^pN̓sĂB̃fŃQm DNAz񂪖炩ɂȂ邱ƂDB̐i݁AQmDNA Ƃ炪R[h鑽̃^pNƂ Ή炩ɂȂ邱ƂŁA̎@܂ꂽB{Z~i[ ́AZppveI[͂̎dg݂ɂĊT ƂƂɁA׋ۂ╪y pۂ̃veI[̗͂B܂AX́AQm DNẢzDBɑ΂Ă̔ɊȒPȈq\v Ogݍ킹邱ƂŁAqA me[V̊ԈႢoAVKq\肷 Ƃ\ɂ̂ŁǍɂĉB

ȊwZ~i[