The advent of inexpensive computing technology has dramatically changed the way many mathematicians do mathematics, and the way many students and teachers learn and teach mathematics. This is an ongoing revolution, and no end is in sight. Among the many different ways that computing technology may be employed in mathematics, one of the most intriguing ones is for interactive and dynamic visuali...

Radio networks model wireless data communication when bandwidth is limited to one wave frequency. The key restriction of such networks is mutual interference of packets arriving simultaneously to a node. The manyto-many (m2m) communication primitive involves p participant nodes of a distance at most d between any pair of them, from among n nodes in the network, and the task is to have all parti...

We show that the full version of the so-called ‘rural hospital theorem’ (Roth, 1986) generalizes to many-to-many matching where agents on both sides of the market have separable and substitutable preferences.

Hyers-Ulam-Rassias stability have been studied in the contexts of several areas of mathematics. The concept of fuzziness and its extensions have been introduced to almost all branches of mathematics in recent times.Here we define the cubic functional equation in 2-variables and establish that Hyers-Ulam-Rassias stability holds for such equations in intuitionistic fuzzy Banach spaces.

Abstract Although the work of G.F.C. Griss is commonly understood as a program negationless mathematics, close examination Griss’s suggests more fundamental feature its executability , requirement that mental constructions are possible only if corresponding activity can be actively carried out. Emphasizing reveals arguments against negation leave open several types negation—including D. Nelson’...

We review the nuclear forces currently in use, i. e., the high-precision NN potentials of the 1990’s and the nuclear twoand many-body forces based upon chiral effective field theory (EFT). We argue that the EFT approach is superior to any of the older schemes. Since accurate chiral forces are available now, the stage is set for microscopic nuclear struture to move into a new and exciting era.

The superfluidity is so far known to be sustained by the Bose-Einstein condensate or the Cooper-pair condensate. The former is realized in liquid He and some atomic gas of an alkali element, while the latter is realized in liquid He and a variety of superconductors. Recently, it has been found that Cooper pairs are formed in the fermionic atomic gas of alkali element and the crossover to the Bo...

Teacher–student interactions are critical for effective mathematics teaching and learning. Certain technologies, especially dynamic geometry software (DGS), can have a great impact on between teachers students. In Chinese educational environments, we selected three as examples to analyze how DGS impacts their method of feedback what role it plays in with Based the data, found be main focus teac...

Standard mathematics involves such notions as infinitely small/large, continuity and standard division. This mathematics is usually treated as fundamental while finite mathematics is treated as inferior. Standard mathematics has foundational problems (as follows, for example, from Gödel’s incompleteness theorems) but it is usually believed that this is less important than the fact that it descr...

We review the construction and phenomenology of intersecting brane worlds. The breaking of chiral and supersymmetry together with a reduction of gauge symmetry by introducing D-branes at generic angles into type I or type II string compactifications is taken as a starting point for the engineering of phenomenologically appealing fourdimensional vacua. Examples that come very close to Standard M...