# Hend Dawood

## Senior Lecturer of Computational Mathematics

Department of Mathematics, Faculty of Science, Cairo University, Giza 12613, Egypt. (email)

Department of Mathematics, Faculty of Science, Cairo University, Giza 12613, Egypt. (email)

"*Universal Intervals: Towards a Dependency-Aware Interval Algebra*." In *Mathematical Methods in Interdisciplinary Sciences*. Hoboken, New Jersey: John Wiley and Sons, 2020. Abstractuniversal_intervals_abstract_dawood_wiley_2020.pdf

A Consistent and Categorical Axiomatization of Differentiation Arithmetic Applicable to First and Higher Order Derivatives." *Punjab University Journal of Mathematics* 51, no. 11 (2019): 77-100. Abstractpujm_51-11_p77-100_dawood.pdfWebsite

"A Logical Formalization of the Notion of Interval Dependency: Towards Reliable Intervalizations of Quantifiable Uncertainties." *Online Mathematics Journal* 1, no. 3 (2019): 15-36. Abstractomj_01-03_p15-36_dawood.pdfWebsite

"On Some Algebraic and Order-Theoretic Aspects of Machine Interval Arithmetic." *Online Mathematics Journal* 1, no. 2 (2019): 1-13. Abstractomj_01-02_p1-13_dawood.pdfWebsite

"Parametric Intervals: More Reliable or Foundationally Problematic?" *Online Mathematics Journal* 1, no. 3 (2019): 37-54. Abstractomj_01-03_p37-54_dawood.pdfWebsite

"IEEE Standard for Interval Arithmetic (Simplified)." *IEEE Std 1788.1-2017* (2018): 1-38. AbstractWebsite

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"*Interval Mathematics as a Potential Weapon against Uncertainty*." In *Mathematics of Uncertainty Modeling in the Analysis of Engineering and Science Problems*. Hershey, PA: IGI Global, 2014. Abstractinterval_mathematics_as_a_potential_weapon_against_uncertainty.pdf