We address the problem of computing the dimension of the space of plane curves of fixed degree and general multiple base points. A conjecture of Harbourne and Hirschowitz gives geometric meaning to when this dimension is larger than the expected dimension obtained from Riemann-Roch; specifically, the dimension is larger than expected if and only if the system has a multiple (−1)-curve in its ba...

The permanent decline of equipment prices relative to nondurable consumption prices rendered fixed-base quantity indexes obsolete, because of the well-known substitution bias. National Income and Product Accounts (NIPA) responded by switching to a flexible-base quantity index to measure GDP growth. We argue this is a welfare measure of output growth. In a two-sector endogenous growth model, we ...

In this paper we perform two experiments. In the first experiment we analyze the convergence ability to using different base for encoding solutions. For this purpose we use the bases 2 to 16. We apply the same algorithm (with the same basic parameters) for all considered bases of representation and for all considered test functions. The algorithm is an (1+1) ES. In the second experiment we will...

Performance of a wideband multipath-fading terrestrial digital coded communication system is treated. The analysis has applications to a cellular system employing direct sequence spread spectrum CDMA with M-ary orthogonal modulation on the many-to-one reverse (user-to-base station) link. For these links, pqwer control of each multiple access user by the cell base station is a critically importa...

in this paper, the concept of {sl local base with  stratifiedstructure} in $i$-topological vector spaces is introduced. weprove that every $i$-topological vector space has a balanced localbase with stratified structure. furthermore, a newcharacterization of $i$-topological vector spaces by means of thelocal base with stratified structure is given.

This study investigates numerically the 2D laminar natural convection in a Saltbox roof type geometry under summer climate conditions as obtained Africa, particularly Nigeria using ANSYS FLUENT to model boundary conditions. The effects of Rayleigh number (Ra) within range 103-107 and pitch angles (top base) on heat transfer, flow structure, temperature distribution entropy generation were analy...

This paper provides an overview of implementation examples based on the Reaction Null Space formalism, developed initially to tackle the problem of satellite-base disturbance of a free-floating space robot, when the robot arm is activated. The method has been applied throughout the years to other unfixed-base systems, e.g. flexible-base and macro/mini robot systems, as well as to the balance co...

Control of a space robot is difficult as its base is not fixed. Due to this any motion of joints gives a reactive motion of the base. This changes the attitude and position of the base. Change of position of the base of space robot is not a problem as minor movements are permissible but the change of attitude seriously affects the orientation of antenna, solar panel. This work presents the tip ...

Abstract-Wireless Sensor Networks (WSNs) employ tiny sensor nodes to observe field and send data from the field to a Base Station. The base station is generally at a fixed location away from the observed field. However, such networks have limited life due to draining of batteries of nodes near the base station quickly in comparison to the nodes away from the base station. Further, data from nod...