161 research outputs found
On Higher-Order Fourier Analysis over Non-Prime Fields
No full textThe celebrated Weil bound for character sums says that for any low-degree polynomial P and any additive character chi, either chi(P) is a constant function or it is distributed close to uniform. The goal of higher-order Fourier analysis is to understand the connection between the algebraic and analytic properties of polynomials (and functions, generally) at a more detailed level. For instance, what is the tradeoff between the equidistribution of chi(P) and its "structure"?
Previously, most of the work in this area was over fields of prime order. We extend the tools of higher-order Fourier analysis to analyze functions over general finite fields. Let K be a field extension of a prime finite field F_p. Our technical results are:
1. If P: K^n -> K is a polynomial of degree |K|^{-s} for some s > 0 and non-trivial additive character chi, then P is a function of O_{d, s}(1) many non-classical polynomials of weight degree < d. The definition of non-classical polynomials over non-prime fields is one of the contributions of this work.
2. Suppose K and F are of bounded order, and let H be an affine subspace of K^n. Then, if P: K^n -> K is a polynomial of degree d that is sufficiently regular, then (P(x): x in H) is distributed almost as uniformly as possible subject to constraints imposed by the degree of P. Such a theorem was previously known for H an affine subspace over a prime field.
The tools of higher-order Fourier analysis have found use in different areas of computer science, including list decoding, algorithmic decomposition and testing. Using our new results, we revisit some of these areas.
(i) For any fixed finite field K, we show that the list decoding radius of the generalized Reed Muller code over K equals the minimum distance of the code.
(ii) For any fixed finite field K, we give a polynomial time algorithm to decide whether a given polynomial P: K^n -> K can be decomposed as a particular composition of lesser degree polynomials.
(iii) For any fixed finite field K, we prove that all locally characterized affine-invariant properties of functions f: K^n -> K are testable with one-sided error
CONTRIBUTION OF FLOATING VEGETABLE CULTIVATION ON FARM INCOME OF FARMERS
No full textA Thesis
Submitted to Department of Entomology,
Faculty of Agriculture.
Sher-e-Bangla Agricultural University,
Dhaka-
In partial fulfillment of the requirements for the degree of
MASTERS OF SCIENCE (MS)
IN
AGRICULTURAL EXTENSION & INFORMATION SYSTEMThe objectives of this study were to describe the selected characteristics of farmers
engaging floating vegetable cultivation; to assess the extent of contribution of floating
vegetable cultivation on farm income and to explore the contribution of the selected
characteristics of farmers on their contribution of floating vegetable cultivation on
farm income. The study was conducted with randomly selected 108 farmers in
Hajigonj upazila of Chandpur district. A pre-tested interview schedule was used to
collect data from the respondents during 3
th
ix
August, 2022 to 27
th
September, 2022.
Contribution of floating vegetable cultivation on farm income was dependent variable
and ten selected characteristics of the respondents were treated as independent
variables of the study. Multivariate regression used to examine the contribution of the
selected characteristics of the respondents on the contribution of floating cultivation.
The highest percentage (70.37%) of the farmers had medium Contribution of floating
vegetable cultivation while 13.89 % of the farmers had low Contribution and 15.74 %
of the farmers had high Contribution of floating vegetable cultivation on their farm
income. Four characteristics of the respondent’s viz. age education, media exposure
and knowledge on floating vegetable cultivation had significant contribution on the
contribution of floating vegetable cultivation on farm income. The findings may help
to motivate farmers to involve more with floating vegetable cultivation
Synthesis and characterization of transition metal cluster containing diphosphine ligands
No full textVarious metal complexes containing transitional metal elements have been prepared. Using shlenk line technique . Spectroscopic analysis by IR and NMR shows that two types of diphosphine co-ordinated metal clusters have been obtained,one having chelating mode of binding [Fe3SeTeCO)7{(PPh2)(C5H4)Fe(C5H4)(PPh2)}] ,and the another is having mono dentate co-ordination [Fe3Te2(CO)8{(PPh2) (C5H4)Fe(C5H4)(PPh2)}]
Negative Imaginary Stability Result Allowing Purely Imaginary Poles in Both the Interconnected Systems
No full textThis paper extends the class of systems to which negative imaginary (NI) stability result can be (directly) applied. The existing closed-loop stability results for NI interconnections require at least one of the systems to satisfy strictly negative imaginary (SNI) properties and hence do not allow purely imaginary poles in both the systems. In contrast to this, a set of necessary and sufficient conditions is derived in this brief for the internal stability of two NI systems in a positive feedback loop with possible poles on the imaginary axis excluding the origin. This proposed result also captures all the existing closed-loop stability results of NI systems, without poles at the origin, as special cases. Illustrative numerical examples are studied to show the usefulness of this development.</p
Acute endometrial bowel obstruction—A rare indication for colonic stenting
No full textAbstractINTRODUCTIONPelvic endometriosis is an extremely rare cause of large bowel obstruction and the management can be challenging. Urgent surgery for acute colonic obstruction is known to carry high morbidity and mortality, and operation may be made more difficult in extensive pelvic endometriosis. Less invasive alternatives in the acute situation may need to be considered.PRESENTATION OF CASEPresented is the case of a 35-year-old lady with obstructive bowel symptoms caused by an endometriotic upper rectal stricture. She was initially treated using radiologically guided stent insertion, as an acute intervention, prior to an elective bowel resection and hysterectomy with bilateral salpingo-oophorectomy.DISCUSSIONColonic stenting is currently widely used in malignant obstruction. The use of self expanding metallic stents (SEMS) to treat benign conditions is controversial, however, due to associated long term complications. This case demonstrates that stenting can provide a bridge to major surgery in the rare event of acute endometriotic colonic obstruction. The initial acute treatment with stenting provides the advantage of time to involve the multi-disciplinary team, to medically optimise the patient and to better plan the definitive surgery.CONCLUSIONThe use of radiologically guided stents has a place in the treatment of benign recto-sigmoid obstruction due to endometriosis and therefore should be considered as a bridge to further surgical treatment
Understanding Interactions in Social Networks and Committees
No full textWhile much of the literature on cross section dependence has fo?cused mainly on estimation of the regression coefficients in the under?lying model, estimation and inferences on the magnitude and strength of spill-overs and interactions has been largely ignored. At the same time, such inferences are important in many applications, not least because they have structural interpretations and provide useful inter?pretation and structural explanation for the strength of any interac?tions. In this paper we propose GMM methods designed to uncover underlying (hidden) interactions in social networks and committees. Special attention is paid to the interval censored regression model. Our methods are applied to a study of committee decision making within the Bank of England¡¯s monetary policy committee.Committee Decision Making, Social Networks, Cross Section and Spatial Interaction, Generalised Method of Moments, Censored Regression Model, Expectation-Maximisation Algorithm, Monetary Policy, Interest Rates.
Prospective trends in design and operations of chemical processes: Heuristics, intensification, and digitization
No full textGreen Open Access added to TU Delft Institutional Repository 'You share, we take care!' - Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.Complex Fluid Processin
Modeling of CMOS compatible ring resonator switch with intermediate vanadium oxide as the switching element
No full text- …
