This paper carried out a comparative analysis between the existing ATM system with its PIN mode of security and an ATM system with a facial recognition module so as to judge their efficiency security wise. Face recognition was introduced into the ATM system to the security concern associated with the existing ATM system. An ATM system with a facial recognition scheme is simulated and comparison is carried between the new system and existing system through a user based assessment with questionnaire distributed to gauge the efficiency of both systems and the level of satisfaction of the users based on the performance of both systems. The results obtained shows that the new system guarantees more security, privacy and confidentiality than the existing system.
A simple formal procedure makes the main properties of the ordinary lagrangian operator extendable to some higher order di erential operators de ned for functions depending on the lagrangian coordinates q and on their derivatives of any order with respect to time. The higher order calculated expressions can provide the lagrangian components, in the classical sense of the Newton's law, for a quite general class of forces. At the same time, the generalized equations of motions recover some of the classical alternative formulations of the Lagrangian equations.
In this paper we show if R is a ltered ring, then we can de ne fuzzy subgroup. Then we show that it has abelian fuzzy subset some of fuzzy- group and fuzzy set properties. Also we prove some properties for strongly ltered ring.
The aim of this paper is as to study real (C1,C2)- Holder valuations on skew polynomials rings. Let D be a division ring, T be a variable over D,σ an endomorphism of D, δ a σ-derivation of D and R = D[T; σ; δ] the left skew polynomial ring over D. We show the set (HV alv(R),) of σ-compatible real Holder valuations which extend as to R a fixed proper real Holder valuation ⊆ on D, has a natural structure of parameterized complete non-metric, where is the partial order given by μ ≤ , if and only if μ(f) ≤ (f), for all f ∈ R and μ, ∈ HV alv(R).
We define approximate best proximity pair and diameter approximate best proximity pair in fuzzy normed spaces. Two general lemmas are given regarding approximate best proximity pair of operators on fuzzy normed spaces. Using these results we prove theorems for various types of well known generalized contractionson on fuzzy normed spaces.