Lehrbuch der Analysis Teil 1

Heuser, Harro

doi:10.1007/978-3-663-12214-2

Cited by 16 publications

(12 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…In principle, it is possible to derive formulae for orders n>4 using the recursive approach given in Abel et al [31] . The k-th order requires a formula for , which can be obtained following the line set out in Heuser [32] , page 130.…”

Section: Resultsmentioning

confidence: 99%

Analyzing the Number of Common Integration Sites of Viral Vectors – New Methods and Computer Programs

et al. 2011

View full text Add to dashboard Cite

Vectors based on γ-retroviruses or lentiviruses have been shown to stably express therapeutical transgenes and effectively cure different hematological diseases. Molecular follow up of the insertional repertoire of gene corrected cells in patients and preclinical animal models revealed different integration preferences in the host genome including clusters of integrations in small genomic areas (CIS; common integrations sites). In the majority, these CIS were found in or near genes, with the potential to influence the clonal fate of the affected cell. To determine whether the observed degree of clustering is statistically compatible with an assumed standard model of spatial distribution of integrants, we have developed various methods and computer programs for γ-retroviral and lentiviral integration site distribution. In particular, we have devised and implemented mathematical and statistical approaches for comparing two experimental samples with different numbers of integration sites with respect to the propensity to form CIS as well as for the analysis of coincidences of integration sites obtained from different blood compartments. The programs and statistical tools described here are available as workspaces in R code and allow the fast detection of excessive clustering of integration sites from any retrovirally transduced sample and thus contribute to the assessment of potential treatment-related risks in preclinical and clinical retroviral gene therapy studies.

show abstract

Section: Resultsmentioning

confidence: 99%

Analyzing the Number of Common Integration Sites of Viral Vectors – New Methods and Computer Programs

et al. 2011

View full text Add to dashboard Cite

show abstract

“…Instead, its counterpart, discontinuity, is touched upon by means of functions having jumps or holes at isolated points. This is not consistent with the mathematical point of view, in which a function can be discontinuous even at every point, and in which a function is continuous if and only if it is continuous at every point of its domain (Heuser, 2003). A second example, documented in Alpers (2017), refers to the concept of differential.…”

Section: The Influence Of Contexts On Students' Learning Of Mathematical Concepts and Possible Problemsmentioning

confidence: 96%

Students’ Understanding of the Economic Interpretation of the Derivative in the Context of Marginal Cost

Feudel

Biehler

2021

Int. J. Res. Undergrad. Math. Ed.

View full text Add to dashboard Cite

Many disciplines make use of mathematical concepts. However, there are often discrepancies between the way mathematical concepts are understood and taught in mathematics and the way they are used in other disciplines. The literature suggests that such discrepancies might make it hard for students in mathematics service courses to make a connection between the mathematical concepts taught and the way they are used in the students’ major disciplines. We investigated this hypothesis for one specific example in mathematics for economics students – the derivative and its interpretation commonly used in economics as the amount of change when increasing the production by one unit. We conducted an interview study investigating to what extent economics students can make a connection between the mathematical concept of the derivative and this common economic interpretation of the derivative. This study provides empirical evidence that it is actually difficult for economics students to make this connection, even though it was covered in their calculus course. In particular, the study reveals difficulties students have when trying to make this connection, which could be addressed in teaching.

show abstract

“…Let the current be unipolar, which means either i(t) < 0 or i(t) > 0 holds, enables the application of the mean value theorem of integration [8] The exact value for ξ is unknown, but has to be within the given range [0, t]. Due to a zero current value for t > T , the integration is only carried out up to t = T , which means ξ cannot be greater than T .…”

Section: Maximum Estimation For Single-pulse Excitationmentioning

confidence: 99%

Broadband Switching Noise Estimation of Resonant Low-Loss Structures for Unipolar Pulse Excitation

Bednarz¹,

Beyer²,

Leone³

2015

IEEE Trans. Electromagn. Compat.

View full text Add to dashboard Cite

A simple and straightforward method to estimate the maximal instantaneous voltage peak during switching operations in resonant structures is presented. It is based on the time-domain analysis of an elementary RLC circuit as a model for such systems. For short pulses, a very simple relation is obtained, independent of the pulse shape. For slow excitations, the noise amplitude is safely estimated solely by the slew rate. Pulses with arbitrary length and shape are approximately treated by a trapezoid with effective width and rise time, for which an accurate solution is derived. The approach is extended to current pulse trains. Several validation examples demonstrate the applicability and versatility of the developed estimation formulas.Index Terms-Impulse response, power bus, power distribution networks (PDN), pulse trains, switching voltage.

show abstract

Lehrbuch der Analysis Teil 1

Cited by 16 publications

References 0 publications

Analyzing the Number of Common Integration Sites of Viral Vectors – New Methods and Computer Programs

Analyzing the Number of Common Integration Sites of Viral Vectors – New Methods and Computer Programs

Students’ Understanding of the Economic Interpretation of the Derivative in the Context of Marginal Cost

Broadband Switching Noise Estimation of Resonant Low-Loss Structures for Unipolar Pulse Excitation

Contact Info

Product

Resources

About