The Column Space and the Null Space of a Matrix

Generated the Integer Null Space and Conditions for Determination of an Integer Basis Using the ABS Algorithms

A New Method of Mobile Robot Navigation: Shortest Null Space

In this paper, a new method was proposed for the navigation of a mobile robot in an unknown dynamic environment. The robot could detect only a limited radius of its surrounding with its sensors and it went on the shortest null space (SNS) toward the goal. In the case of no obstacle, SNS was a direct path from the robot to goal; however, in the presence of obstacles, SNS was a space around the r...

A New Method of Mobile Robot Navigation: Shortest Null Space

In this paper, a new method was proposed for the navigation of a mobile robot in an unknown dynamic environment. The robot could detect only a limited radius of its surrounding with its sensors and it went on the shortest null space (SNS) toward the goal. In the case of no obstacle, SNS was a direct path from the robot to goal; however, in the presence of obstacles, SNS was a space around the r...

GENERALIZED FUZZY VALUED $theta$-Choquet INTEGRALS AND THEIR DOUBLE-NULL ASYMPTOTIC ADDITIVITY

The generalized fuzzy valued $theta$-Choquet integrals will beestablished for the given $mu$-integrable fuzzy valued functionson a general fuzzy measure space, and the convergence theorems ofthis kind of fuzzy valued integral are being discussed.Furthermore, the whole of integrals is regarded as a fuzzy valuedset function on measurable space, the double-null asymptoticadditivity and pseudo-doub...

A new sequence space and norm of certain matrix operators on this space

In the present paper, we introduce the sequence space [{l_p}(E,Delta) = left{ x = (x_n)_{n = 1}^infty : sum_{n = 1}^infty left|  sum_{j in {E_n}} x_j - sum_{j in E_{n + 1}} x_jright| ^p < infty right},] where $E=(E_n)$ is a partition of finite subsets of the positive integers and $pge 1$. We investigate its topological properties and inclusion relations. Moreover, we consider the problem of fin...

Nonlinear inelastic dynamic analysis of space steel frames with semi-rigid connections in urban buildings

Applied studies addressing semi-rigid connections have been limited. Scant information exists in regulations except little brief information. Therefore, this research analyzes the behavior of three-dimensional steel frames and semi-rigid connections based on beam-column method and non-linear dynamic analysis. Stability functions and geometric stiffness matrix were used to study the non-linear g...