50 research outputs found
A novel approach to fractional calculus: utilizing fractional integrals and derivatives of the Dirac delta function
While the definition of a fractional integral may be codified by Riemann and
Liouville, an agreed-upon fractional derivative has eluded discovery for many
years. This is likely a result of integral definitions including numerous
constants of integration in their results. An elimination of constants of
integration opens the door to an operator that reconciles all known fractional
derivatives and shows surprising results in areas unobserved before, including
the appearance of the Riemann Zeta Function and fractional Laplace and Fourier
Transforms. A new class of functions, known as Zero Functions and closely
related to the Dirac Delta Function, are necessary for one to perform
elementary operations of functions without using constants. The operator also
allows for a generalization of the Volterra integral equation, and provides a
method of solving for Riemann's "complimentary" function introduced during his
research on fractional derivatives
Additional file 1: of Epidemiology, impact and control of bovine cysticercosis in Europe: a systematic review
PRISMA 2009 Checklist. (DOC 65 kb
Additional file 2: of Epidemiology, impact and control of bovine cysticercosis in Europe: a systematic review
List of references for the records included in the review. (XLSX 20 kb
Additional file 3: of Epidemiology, impact and control of bovine cysticercosis in Europe: a systematic review
Prevalence data extracted from the included records. (DOCX 98 kb
Data fields extracted from the different items.
<p>Data fields extracted from the different items.</p
Number of participatory epidemiology activities in America.
<p>Number of participatory epidemiology activities in America.</p
Diseases covered within the participatory epidemiology activities.
<p>Diseases covered within the participatory epidemiology activities.</p
Number of participatory epidemiology activities by year and applications.
<p>DC: Evaluation of disease control methods; DE: Descriptive epidemiology; DI: Disease investigation and diagnosis; DM: Disease modelling; DS: Disease survey and prioritization; ECO: Economic or livelihood impact of disease; EV: Evaluation of veterinary service delivery; RE: Research; SU: Surveillance; TE: Training; VPH: Veterinary Public Health.</p
Number of participatory epidemiology activities in Europe, Africa, Asia and Oceania.
<p>Number of participatory epidemiology activities in Europe, Africa, Asia and Oceania.</p