A remarkable example of a nonempty closed convex set in the Euclidean plane for which the directional derivative of the metric projection mapping fails to exist was constructed by A. Shapiro. In this paper, we revisit and modify that construction to obtain a convex set with C boundary which possesses the same property.

Existing representations for multiattribute ceteris paribus preference statements have provided useful treatments and clear semantics for qualitative comparisons, but have not provided similarly clear representations or semantics for comparisons involving quantitative tradeoffs. We use directional derivatives and other concepts from elementary differential geometry to interpret conditional mult...

This paper analyzes the performance of directional collision avoidance schemes, in which antenna systems are used to direct the transmission and reception of control and data packets in channel access protocols based on fourway collision avoidance handshake. We present an analytical model that considers both directional reception and the possible difference in gain between omnidirectional and d...

objectives: conducting field tests of a vibrotactile aid for deaf/deafblind persons for detection, identification and directional perception of environmental sounds. methods: five deaf (3f/2m, 22–36 years) individuals tested the aid separately in a home environment (kitchen) and in a traffic environment. their eyes were blindfolded and they wore a headband and holding a vibrator for sound ident...

Let G be a (p,q) graph. An injective map f : E(G) → {±1,±2,...,±q} is said to be an edge pair sum labeling if the induced vertex function f*: V (G) → Z - {0} defined by f*(v) = ΣP∈Ev f (e) is one-one where Ev denotes the set of edges in G that are incident with a vertex v and f*(V (G)) is either of the form {±k1,±k2,...,±kp/2} or {±k1,±k2,...,±k(p-1)/2} U {±k(p+1)/2} according as p is even or o...

Radioimmunotherapy (RIT) of Non-Hodgkin’s lymphoma (NHL) is said to be more advantageous compared to unlabelled therapeutic antibodies. To this date, radiolabelled murine anti-CD20 mAbs, Zevalin® and Bexxar® have been approved for imaging and therapy. A preparation containing rituximab, chimeric mAb radioimmunoconjugate suitable for Lu-177 labeling, could provide better imaging and therapeutic ...

In multi-view clustering, an eigen-decomposition of the Laplacian matrix graph is usually necessary. This leads to a significant increase in time cost and also requires post-processing such as $k$ -means. addition, some methods requir...

A new method for feature extraction and recognition, namely the fuzzy bidirectional weighted sum criterion (FBWSC) is proposed in this paper. FBWSC defines the row directional fuzzy image optimal image projection matrix. Subsequently, each sample in the original training sample set is transformed using the row directional optimal image projection matrix, and the row directional feature training...

Let be a graph with and are the set of its vertices edges, respectively. Total edge irregular -labeling on is map from to satisfies for any two distinct edges have weights. The minimum which labeling spoken as strength total labeling, represented by . In this paper, we discuss tes triangular grid graphs, spanning subgraphs, Sierpiński gasket graphs.

Automatic facial recognition has many potential applications in different areas of humancomputer interaction. However, they are not yet fully realized due to the lack of an effectivefacial feature descriptor. In this paper, we present a new appearance based feature descriptor,the local directional pattern (LDP), to represent facial geometry and analyze its performance inrecognition. An LDP feat...