The classical involute of a plane base curve intersects every tangent line at a right angle. This paper introduces a tanvolute, which intersects every tangent line at any given fixed angle. This minor change in the definition of a classical concept leads to a wealth of new examples and phenomena that go far beyond the original situation. Our treatment is based on two differential equations rela...

We introduce the concept of regular super-functions at a fixed point. It is derived from the concept of regular iteration. A super-function F of h is a solution of F(z+1)=h(F(z)). We provide a condition for F being entire, we also give two uniqueness criteria for regular super-functions. In the particular case h(x)=bˆx we call F super-exponential. h has two real fixed points for b between 1 and...

In this paper we use an interpretation of fuzzy if-then rules to consider the notion of fixed points that are also called fix mundis in the literature invented by Fathi/Temme. We review some known results on fixed points of fuzzy ifthen rules and add more new ones and bring up the notion of fixed points in fuzzy chaining syllogism and we obtain new and interesting conclusions. Finally we bring ...

in this paper, we prove some approximate fixed point results for proximinal valued $beta$-contractive multifunctions on metric spaces. we show that our results generalize some old fixed point results in the literature.

This paper summarizes the initial developments of a research program that is underway to evaluate the efficacy of passive settings to seismically protect sets and pieces of equipment of essential facilities. Specifically, this paper presents case studies based on detailed numerical analysis using models that were validated with available experimental data. The case studies confirmed that: 1) am...

There are several benefits in using adhesive technique in removable prosthodontics as well as fixed prosthodontics. Previous studies have examined denture-base surface treatments that improve bond strength between a denture base resin and autopolymerizing repair resin. Dichloromethane and ethyl acetate are organic solvents that swell the denture base surface, thereby permitting diffusion of the...

We demonstrate the high-speed computation of core elliptic curve operations with full protection against timing-type side-channel attacks. We use a state-of-the-art GLV-GLS curve in twisted Edwards form defined over a quadratic extension field of large prime characteristic, which supports a four dimensional decomposition of the scalar. We present highly optimized algorithms and formulas for spe...