In this paper, we compute the number of fuzzy subgroups of some classes of non-abeilan groups. Explicit formulas are givenfor dihedral groups $D_{2n}$, quasi-dihedral groups $QD_{2^n}$, generalized quaternion groups $Q_{4n}$ and modular $p$-groups $M_{p^n}$.

In this paper, we prove the Hyers-Ulam stability in$beta$-homogeneous probabilistic modular spaces via fixed point method for the functional equation[f(x+ky)+f(x-ky)=f(x+y)+f(x-y)+frac{2(k+1)}{k}f(ky)-2(k+1)f(y)]for fixed integers $k$ with $kneq 0,pm1.$

Introduction: Optimum component positioning and orientation is required to optimize the functional result during total hip arthroplasty for dysplastic hips. Patients and methods: Sixty-two patients (66 hips) including 33 males and 29 females underwent total hip arthroplasty using modular stem prosthesis at an average age of 40.6 years (range 17 to 49 years). Nineteen hips were clas...

A practical technique for improving the performance of modular exponentiations (ME) is described. The complexity of the ME algorithm is modular multiplications (MMs), where n is the length of the exponent, requiring an O(n 2) precomputed look-up table size with very small constant of proportionality. The algorithm uses a double-based number system which we introduce in this paper. O n n log ---...

We modify an algorithm given by Kaliski to compute the Montgomery inverse of an integer modulo a prime number. We also give a new definition of the Montgomery inverse, and introduce efficient algorithms for computing the classical modular inverse, the KaliskiMontgomery inverse, and the new Montgomery inverse. The proposed algorithms are suitable for software implementations on general-purpose m...

A product with a long-life, such as a plant or ship, must be adaptable to future technology changes, regulations, and environmental changes. This paper proposes a design method for a future scenario embedded product to enhance a product’s adaptability to various changes during its lifetime. The design method derives a modular structure between platform modules as constant sub-system and option ...

This paper proposes a novel topology of multilevel current source inverter which is suitable to apply in low/medium voltage. The proposed topology is capable of producing desirable bidirectional output current levels. Furthermore, it can employ symmetrical DC current sources as well as asymmetrical ones which is a significant advantage. Asymmetrical mode makes it possible to generate a great nu...