Book Review: Elastic Beams and Frames, by J. D. Renton

The book represents a very interesting example of the possibility to combine in a single publication basic theory of structures and quite advanced topics on the same subject. The author fulfills this objective in a reasonable size book, less than 400 pages divided into 15 chapters averaging 20 pages each plus 9 short appendices. A diskette is also included in the book. This diskette contains training as well practical executable programs on different aspects of structural analysis, such as cross-sections properties,general-purpose computer programs for the static, dynamic and stability analysis of simple bar structures, etc. The book figures are didactic and have been carefully drawn.

Tight frames of k-plane ridgelets and the problem of representing objects that are smooth away from d-dimensional singularities in Rn

For each pair (n, k) with 1 ≤ k < n, we construct a tight frame (ρλ : λ ∈ Λ) for L2 (Rn), which we call a frame of k-plane ridgelets. The intent is to efficiently represent functions that are smooth away from singularities along k-planes in Rn. We also develop tools to help decide whether k-plane ridgelets provide the desired efficient representation. We first construct a wavelet-like tight frame on the X-ray bundle χn,k—the fiber bundle having the Grassman manifold Gn,k of k-planes in Rn for base space, and for fibers the orthocomplements of those planes. This wavelet-like tight frame is the pushout to χn,k, via the smooth local coordinates of Gn,k, of an orthonormal basis of tensor Meyer wavelets on Euclidean space Rk(n−k) × Rn−k. We then use the X-ray isometry [Solmon, D. C. (1976) J. Math. Anal. Appl. 56, 61–83] to map this tight frame isometrically to a tight frame for L2(Rn)—the k-plane ridgelets. This construction makes analysis of a function f ∈ L2(Rn) by k-plane ridgelets identical to the analysis of the k-plane X-ray transform of f by an appropriate wavelet-like system for χn,k. As wavelets are typically effective at representing point singularities, it may be expected that these new systems will be effective at representing objects whose k-plane X-ray transform has a point singularity. Objects with discontinuities across hyperplanes are of this form, for k = n − 1.

Carpentry : being a comprehensive guide book for carpentry and joinery : with elementary rules for the drawing of architecture in perspective and by geometrical rule : also, treating of roofs, trussed girders, floors, domes, stair-cases and hand-rails, shop fronts, verandahs, window-frames,shutters, &c. &c., and public and domestic buildings, with plans, elevations, sections, &c. &c./

Mode of access: Internet.

The lumber estimator : Board and surface measure contents of fractional sizes of lumber, specially arranged for rapid estimating of contents of stock used in manufacture of doors, sash, blinds, door and window frames, interior and exterior finish, furniture, boxes, veneers, etc., etc. /

p. 113, advertising matter.

Operator, organizational, direct support and general support maintenance manual : tent, frame type, universal field maintenance, expandable, cotton duck, fire, mildrew [sic], water, and weather resistant, w/o floor, floor area 27 ft w, 22 ft h, 64 ft lg, length expandable in 8-foot increments, w/covers, frames, ground anchor kit, liners, FSN 8340-935-6372.

"January 1970."

Organizational, direct and general support maintenance repair parts and special tools list : tent, frame type, universal field maintenance, expandable, cotton duck, fire, mildew, water and weather resistant, w/o floor, floor area, 27 ft. wide, 22 ft. high, 64 ft. long, length expandable in 8-foot increments, w/covers, frames, ground anchor kit, liners, FSN 8340-935-6372.

"February 1970."

Operator, organizational, direct support, general support, and depot maintenance manual, including repair parts and special tools lists : antenna group AN/TRA-37 and transit frames, antenna MT-3894/TRC, MT-3894A/TRC, and MT-3895/TRC.

"October 1969."

Columns as part of frameworks, report no. 4. Analysis and design of columns in frames subject to translation.

Mode of access: Internet.

Seismic Evaluation and Retrofit of Concentrically Braced Frames

Thesis (Master's)--University of Washington, 2016-06

Evidence for conservation and selection of upstream open reading frames suggests probable encoding of bioactive peptides

Background: Approximately 40% of mammalian mRNA sequences contain AUG trinucleotides upstream of the main coding sequence, with a quarter of these AUGs demarcating open reading frames of 20 or more codons. In order to investigate whether these open reading frames may encode functional peptides, we have carried out a comparative genomic analysis of human and mouse mRNA 'untranslated regions' using sequences from the RefSeq mRNA sequence database. Results: We have identified over 200 upstream open reading frames which are strongly conserved between the human and mouse genomes. Consensus sequences associated with efficient initiation of translation are overrepresented at the AUG trinucleotides of these upstream open reading frames, while comparative analysis of their DNA and putative peptide sequences shows evidence of purifying selection. Conclusion: The occurrence of a large number of conserved upstream open reading frames, in association with features consistent with protein translation, strongly suggests evolutionary maintenance of the coding sequence and indicates probable functional expression of the peptides encoded within these upstream open reading frames.