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Perfect fractals are mathematical objects that, because they are generated by recursive processes, have self-similarity and infinite complexity. In particular, they also have a fractional dimension. Although several proposals for the study…

Physics Education · Physics 2018-04-04 P. V. S. Souza , R. L. Alves , W. F. Balthazar

We have developed a simulation technique that uses non-linear finite element analysis and elastic fracture mechanics to compute physically plausible motion for three-dimensional, solid objects as they break, crack, or tear. When these…

Graphics · Computer Science 2023-03-21 James F. O'Brien , Jessica K. Hodgins

Software development is an iterative process which includes a set of development steps that transform the initial high level specification of the system into its final, fully specified, implementation. This report discusses the theoretical…

Formal Languages and Automata Theory · Computer Science 2016-09-05 Claudio Menghi , Paola Spoletini , Carlo Ghezzi

Design processes involve exploration, iteration, and movement across interconnected stages such as persona creation, problem framing, solution ideation, and prototyping. However, time and resource constraints often hinder designers from…

Human-Computer Interaction · Computer Science 2025-08-18 Sangho Suh , Michael Lai , Kevin Pu , Steven P. Dow , Tovi Grossman

In an era where visual content generation is increasingly driven by machine learning, the integration of human feedback into generative models presents significant opportunities for enhancing user experience and output quality. This study…

Computer Vision and Pattern Recognition · Computer Science 2023-07-20 Dimitri von Rütte , Elisabetta Fedele , Jonathan Thomm , Lukas Wolf

We consider branching process evolving in i.i.d. random environment. It is assumed that the process is intermediately subcritical. We investigate the initial stage of the evolution of the process given its survival for a long time.

Probability · Mathematics 2022-08-08 E. E. Dyakonova

Highly nonlinear behavior of a system of discrete sites on a lattice is observed when a specific feedback loop is introduced into models employing coupled map lattices, quantum cellular automata, or the real-valued analogues of the latter.…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Siegfried Fussy , Gerhard Groessing , Herbert Schwabl

This paper discusses the systematic use of product feedback information to support life-cycle design approaches and provides guidelines for developing a design at both the product and the system levels. Design activities are surveyed in the…

Computational Engineering, Finance, and Science · Computer Science 2007-05-23 V. V. Kryssanov , H. Tamaki , K. Ueda

Online controlled experimentation is widely adopted for evaluating new features in the rapid development cycle for web products and mobile applications. Measurement of the overall experiment sample is a common practice to quantify the…

Human-Computer Interaction · Computer Science 2022-01-27 Zhenyu Zhao , Yan He , Miao Chen

Machine learning workflow development is anecdotally regarded to be an iterative process of trial-and-error with humans-in-the-loop. However, we are not aware of quantitative evidence corroborating this popular belief. A quantitative…

Machine Learning · Computer Science 2018-05-21 Doris Xin , Litian Ma , Shuchen Song , Aditya Parameswaran

Selecting appropriate sensors and actuators is a pivotal aspect of design and engineering, particularly in projects involving interactive systems. This article introduces the Design Thinking Based Iterative Sensor and Actuator Selection…

Human-Computer Interaction · Computer Science 2024-03-19 İhsan Ozan Yıldırım , Ege Keskin , Yağmur Kocaman , Murat Kuşcu , Oğuzhan Özcan

Design generation, in its essence, is a step-by-step process where designers progressively refine and enhance their work through careful modifications. Despite this fundamental characteristic, existing approaches mainly treat design…

Computer Vision and Pattern Recognition · Computer Science 2025-12-04 Faizan Farooq Khan , K J Joseph , Koustava Goswami , Mohamed Elhoseiny , Balaji Vasan Srinivasan

A matrix approach to continuous iteration is proposed for general formal series. It leads, in particular, to an order{to{order iteration of the exponential function, and consequently to an algorithmic approach to tetration. Lower{order…

Mathematical Physics · Physics 2014-10-16 R. Aldrovandi

This text surveys different probabilistic aspects of a model which is used to describe the evolution of an object that falls apart randomly as time passes. Each point of view yields useful techniques to establish properties of such random…

Probability · Mathematics 2007-05-23 Jean Bertoin

Software engineering is not an empirically based discipline. Consequently, many of its practices are based on little more than a generally agreed feeling that something may be true. Part of the problem is that it is both relatively young…

Software Engineering · Computer Science 2019-12-10 Tim Hopkins , Les Hatton

Feature engineering is a crucial step in the process of predictive modeling. It involves the transformation of given feature space, typically using mathematical functions, with the objective of reducing the modeling error for a given…

Artificial Intelligence · Computer Science 2017-09-22 Udayan Khurana , Horst Samulowitz , Deepak Turaga

The development of software for wireless services on the Internet is a challenging task due to the extreme time-to-market pressure, the newness of the application domain, and the quick evolution of the technical infrastructure.…

Software Engineering · Computer Science 2014-02-20 Ulrike Becker-Kornstaedt , Daniela Boggio , Jürgen Münch , Alexis Ocampo , Gino Palladino

Despite our familiarity with specific technologies, the origin of new technologies remains mysterious. Are new technologies made from scratch, or are they built up recursively from new combinations of existing technologies? To answer this,…

Physics and Society · Physics 2019-12-09 Thomas M. A. Fink , Ali Teimouri

Developable surfaces are commonly observed in various applications such as architecture, product design, manufacturing, mechanical materials, and data physicalization as well as in the development of tangible interaction and deformable…

Graphics · Computer Science 2023-06-16 Chao Yuan , Nan Cao , Yang Shi

A simple, yet unifying method is provided for the construction of tilings by tiles obtained from the attractor of an iterated function system (IFS). Many examples appearing in the literature in ad hoc ways, as well as new examples, can be…

Metric Geometry · Mathematics 2013-10-24 Michael Barnsley , Andrew Vince