This dissertation is a review for the Born-Infeld action. An introduction of bosonic string theory and the object D-brane are given with its light-cone quantization procedure. We then explain the method of obtaining effective action. The derivation for the Born-Infeld action as an effective theory is presented. Later we discuss the properties, supersymmetric extensions, and applications of the ...

In logistic regression models, we consider the deviance statistic (the log likelihood ratio statistic) D as a goodness-of-fit test statistic. In this paper, we show the derivation of an expression of asymptotic expansion for the distribution of D under a null hypothesis. Using the continuous term of the expression, we obtain Bartlett-type transformed statistic D̃ that improves the speed of conve...

The aim of this note is to give a quick derivation of Theorem 1 using the techniques developed in [1] and the skew domino Cauchy identity. Let Gλ/μ(X; q) = ∑ D q spin(D)xweight(D) be the spin-weight generating function of domino tableaux with shape λ/μ; see for example [1]. Here we will use the convention that spin(D) is equal to half the number of vertical dominoes in D. Though not stated expl...

Let H be an infinite--dimensional Hilbert space and K(H) be the set of all compact operators on H. We will adopt spectral theorem for compact self-adjoint operators, to investigate of higher derivation and higher Jordan derivation on K(H) associated with the following cauchy-Jencen type functional equation 2f(frac{T+S}{2}+R)=f(T)+f(S)+2f(R) for all T,S,Rin K(H).

Let H be an innite dimensional Hilbert space and K(H) be the set of all compactoperators on H. We will adopt spectral theorem for compact self-adjoint operators, to investigate ofhigher derivation and higher Jordan derivation on K(H) associated with the following Cauchy-Jensentype functional equation 2f((T + S)/2+ R) = f(T ) + f(S) + 2f(R) for all T, S, R are in K(...

Intersection types were originally introduced as idempotent, i.e., modulo the equivalence σ ∧σ = σ . In fact, they have been used essentially for semantic purposes, for building filter models for λ -calculus, where the interpretation of types as properties of terms induces naturally the idempotence property. Recently it has been observed that, when dropping idempotency, intersection types can b...

In this paper, we introduce the notions of $(odot, oplus)$-derivations and $(ominus, odot)$-derivations for $MV$-algebras and discuss some related results. We study the connection between these derivations on an $MV$-algebra $A$ and the derivations on its boolean center. We characterize the isotone $(odot, oplus)$-derivations and prove that $(ominus, odot)$-derivations are isotone. Finally we d...

We prove that every 2-local derivation from the algebra Mn(A)(n > 2) into its bimodule Mn(M) is a derivation, where A is a unital Banach algebra and M is a unital A-bimodule such that each Jordan derivation from A into M is an inner derivation, and that every 2-local derivation on a C*-algebra with a faithful traceable representation is a derivation. We also characterize local and 2-local Lie d...