In this Note, we study the multiple ergodic averages of a locally constant real-valued function in linear Cookie-Cutter dynamical systems. The multifractal spectrum of these multiple ergodic averages is completely determined. §

Tool wear increases cutting force, vibration, temperature, etc in end milling and reduces surface finish of the machined work piece. Mathematical model has been developed to predict the tool wear in terms of machining parameters such as helix angle of cutting tool, spindle speed, feed rate, axial and radial depth of cut. Central composite rotatable second order response surface methodology was ...

The majority of paper-based microfluidic devices were produced by patterning hydrophobic zones via photoresist or wax. Others were created by cutting paper using a laser. We present a fabrication method by craft-cutting and lamination, in a way similar to making an identification card. The method employs a digital craft cutter and roll laminator to produce laminated paper-based analytical devic...

Physical visualizations only recently started to attract attention from the InfoVis and HCI communities. They are well suited for playful exploration and stimulate curiosity but are often limited by their fixed appearance and lack interactivity. In this paper we discuss our early experiments in designing physical visualizations made of transparent acrylic glass using a laser cutter. We also pre...

We describe a simple, inexpensive, and very effective method of achieving circumferential flow reduction during direct percutaneous cyanoacrylate embolization of a high-flow vascular malformation of the scalp. By using a plastic "cookie cutter" placed over the lesion and applying various degrees of pressure, both venous outflow from and arterial inflow into the lesion were limited. This flow re...

Fungus-growing ants gain access to nutrients stored in plant biomass through their association with a mutualistic fungus they grow for food. This 50 million-year-old obligate mutualism likely facilitated some of these species becoming dominant Neotropical herbivores that can achieve immense colony sizes. Recent culture-independent investigations have shed light on the conversion of plant biomas...

Purpose: This paper presented a method for generating the toolpaths for the machining of a helical rotor on five-axis machine tool. Design/methodology/approach: The geometry of the helical rotor is designed based on the ruled surfaces. Through the homogeneous coordinate transformation, the cutter location of the flank milling for four-axis machining can be generated. The postprocessor are devel...

HostÐparasite dynamics can be altered when a host is infected by multiple parasite genotypes. The different strains of parasite are expected to compete for the limited host resources, potentially affecting the survival and reproduction of the host as well as the infecting parasites. Fungus-growing ants, including the well-known leaf-cutters, are an emerging model system for studying the evoluti...

The machining of complex geometrical shapes with a CNC machine tool requires the determination of cutting conditions namely the depth of cut, the feed rate, the cutter diameter, the number of cutters in use, etc. The number and the diameter of the cutters used for the machining of a given pocket has an important effect on the machining time. Consequently, it is necessary to have an algorithm fo...

Sincere thanks to… Professor Char Miller and Professor Bo Cutter for their guidance throughout the thesis process. My family and friends for all the love, cheer, and support. You are my sunshine.