The purpose of this note is to compare the rings of continuous functions, integer-valued or real-valued, in pointfree topology with those in classical topology. To this end, it first characterizes the Boolean frames (= complete Boolean algebras) whose function rings are isomorphic to a classical one and then employs this to exhibit a large class of frames for which the functions rings are not o...

Many group II introns encode reverse transcriptase-like proteins that potentially function in intron mobility and RNA splicing. We compared 34 intron-encoded open reading frames and four related open reading frames that are not encoded in introns. Many of these open reading frames have a reverse transcriptase-like domain, followed by an additional conserved domain X, and a Zn(2+)-finger-like re...

Let M be a dilation matrix, Ψ a finite family of L-functions, andP the collection of all nonsingular matrices P such that M , P , and PMP−1 have integer entries. The objective of this paper is two-fold. Firstly, for each P in P , we characterize all tight affine frames X(Ψ, M) generated by Ψ such that the over-sampled affine systems X (Ψ, M) relative to the “over-sampling rate” P remain to be t...

In this work, analytical pushover curves for concentric braced steel frames with active tension diagonal bracings (X-CBF) are proposed. A “spindle”, characterized by two trilinear capacity defined an X-CBF system subjected to prefixed lateral forces distribution, is defined. The able grasp the elasto-plastic behavior of X-CBFs. reliability proposal verified a series numerical comparisons obtain...

the objective of this review to be submitted in two independent parts, for steel frames and for rc frames, is to compare their structural performance with respect to the proposed n2-method, and so also of the consequent convenience of using pushover methodology for the seismic analysis of these structures. a preliminary investigation is presented on a pushover analysis used for the seismic perf...

Construction of wavelet frames with matrix dilation is studied. We found a necessary condition and a sufficient condition under which a given pair of refinable functions generates dual wavelet systems with a given number of vanishing moments. For image compression and some other applications, it is very desirable to have wavelets with vanishing moment property. In particular, vanishing moments ...

A coordinate frame in an n-dimensional space is defined by n mutually orthogonal unit vectors. In particular, for a two-dimensional (2D) space, i.e., n = 2, a coordinate frame is defined by an X axis and a Y axis with these two axes being orthogonal to each other. The intersection between the X axis and the Y axis is the origin of the coordinate frame. For a three-dimensional (3D) space, i.e., ...