Department of Mathematics and Statistics Mohahanlal sukhadia University ,Udaipur -313.001 (India)
E-mail- godseeking1@yahoo.com
Graph labellings are studied mostly using the conventional definitions and without the use of computer. This paper studies the effect of allowing exactly one vertex label to be repeated in the conventional vertex labelling methods namely Harmonious, Sequential and Graceful for certain graphs and studies its effects with the help of a specialized computer software. This software can check the existence of any major kind of graph labelling scheme namely Harmonious, Felicitous, Sequential, Graceful, Magic and Antimagic for any kind of graph. It has been found that certain cases which otherwise are known to show no labellings with conventional definitions, produced several labellings on repetition of a vertex label using the computer. The labellings produced are also faster and several in number on the computer when a vertex label is repeated. Moreover, repeating a vertex label can also have significance in the areas of applications where the repeated vertex label could represent some special entity which needs to be repeated. This opens up possibilities for studies to obtain more labellings and can be explored further.
Department of physics and Electronics, Dr Ram Manohar Lohia ,Faizabad -224001, UP (India)
E-mail - sachida_shukla@yahoo.co
Darlington pair amplifier in CC/CE configuration is a useful circuit for small-signal amplification. First time we have proposed a two-stage modified Darlington pair amplifier that produces simultaneously enhanced voltage gain and band-width. Qualitative results of proposed amplifier are compared with two-stage conventional Darlington pair amplifier. The explored amplifier circuit can be used for amplification of weak signals ranging below 1mV and can be proved useful for various communication applications
1Plot No 193, Jayadev Vihar ,Bhubaneswar-13 (India)
2Department of physics, Bhabanipatna Autonomous College, Bhabanipatna,orissa (India)
3Department of physics, Bhadrak Autonomous College , Bhadrak Orissa (India)
Hall effects on combined free and forced convective flow of a viscous incompressible electrically conducting fluid between two horizontal perfectly conducting plates under the action of a uniform transverse magnetic field applied paralled to the axis of rotation has been analysed. Exact solution of the governing equation is obtained in closed form. It is observed that Hall current exerts stabilizing influence on the primary flow at the upper plate due to shear stress while at the lower plate Grashof number causes separation on the secondary flow. The interaction of wall porosity and Hall current greatly influence the flow field. The rate of heat transfer at both the plates are derived. It is found that the Hall current and rotation exert reverse flow of heat at the upper plate when the numerical value is equal to two as the Grashof number is being referred to. Mass transfer is also studied with the help of graph between concentration and channel length.
Department of Chemical Sciences ,Faculty of Science and Technology University Malaysia , Terengganu 21030 Kuala Terengganu Malaysia
Beackea Frutescens comes in the family of Mrytaceae and is well known aromatic and medicinal herb. In view of this it is more economical to grow and commercialize this product instead of importing other source of similar chemical properties such tea tree. The emulsion of Beackea Frutescens has proven to be stabled in the form of cosmetic products1. Thus, several alternatives are undergoing to seek a better result to be contributed in the cosmetic field. Based on this study found that Beackea Frutescens sample emulsion of 50% (CTAB:SDS): 38% Benzyl Alcohol: 12% H2O with seven drops of Beackea Frutescens's essential oil had produced in a stable creamy emulsion form. But, can this Beackea Frutescens emulsion and the mixed-surfactant system (CTAB and SDS) produce the various stable forms of formulation for a further research?