27,292 research outputs found
Aplikasi Teori Teknik Kimia dalam Mencari Model Matematis Pengurangan Berat Tomat Selama Penyimpanan
This article is explained how to make chemical engineering concept more applicable and interesting to students through their experience in research project. The title of their project is âThe evaporation rate of stored the water content of fruits and vegetablesâ. This research aimed to study some factors influencing the evaporation rate, to develop mathematical model describing the evaporation process of stored fruitsâs and vegetablesâs water content. The experiment was simple and easy. The students kept fruits and vegetables in a storage room and observed the changed in weight of them. Then, they processed data and made mathematical model to explain the behavior of weight loss during storage. During guiding students, faculty concerned with improving the competence of students.
Lecturer took students recognize their learning style. By knowing learning style, students would learn
more concepts easily. Students learned material through reading journals, textbooks and discussion
with lecturer too. The understanding in theory to formulate mathematical model and communication skill
could improved through discussion. Students managed to achieve the goal of their research. They could
communicate their ideas well and appear confident at the final project seminar
The pointwise convergence of Fourier Series (I). On a conjecture of Konyagin
We provide a near-complete classification of the Lorentz spaces
for which the sequence of
partial Fourier sums is almost everywhere convergent along lacunary
subsequences. Moreover, under mild assumptions on the fundamental function
, we identify as
the \emph{largest} Lorentz space on which the lacunary Carleson operator is
bounded as a map to . In particular, we disprove a conjecture
stated by Konyagin in his 2006 ICM address. Our proof relies on a newly
introduced concept of a "Cantor Multi-tower Embedding," a special geometric
configuration of tiles that can arise within the time-frequency tile
decomposition of the Carleson operator. This geometric structure plays an
important role in the behavior of Fourier series near , being responsible
for the unboundedness of the weak- norm of a "grand maximal counting
function" associated with the mass levels.Comment: 82 pages, no figures. We have added the following items: 1) Section 5
presenting a suggestive example; 2) Section 6 explaining the fundamental role
of the so called grand maximal counting function; 3) Section 12 presenting a
careful analysis of the Lacey-Thiele discretized Carleson model and of the
Walsh-Carleson operator. Accepted for publication in J. Eur. Math. Soc.
(JEMS
On the coniveau of certain sub-Hodge structures
We study the generalized Hodge conjecture for certain sub-Hodge structure
defined as the kernel of the cup product map with a big cohomology class, which
is of Hodge coniveau at least 1. As predicted by the generalized Hodge
conjecture, we prove that the kernel is supported on a divisor, assuming the
Lefschetz standard conjecture.Comment: 23 pages. V2: Typos corrected. Comments still welcome. To appear in
Math.Res.Let
Beauville-Voisin conjecture for generalized Kummer varieties
Inspired by their results on the Chow rings of projective K3 surfaces,
Beauville and Voisin made the following conjecture: given a projective
hyperkaehler manifold, for any algebraic cycle which is a polynomial with
rational coefficients of Chern classes of the tangent bundle and line bundles,
it is rationally equivalent to zero if and only if it is numerically equivalent
to zero. In this paper, we prove the Beauville-Voisin conjecture for
generalized Kummer varieties.Comment: 14 pages. v2: Last section expanded. Published online in
International Mathematics Research Notices 201
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