In [J. Combin. Theory Ser. B 70 (1997), 2-44] we gave a simplified proof of the Four Color Theorem. The proof is computer-assisted in the sense that for two lemmas in the article we did not give proofs, and instead asserted that we have verified those statements using a computer. Here we give additional details for one of those lemmas, and we include the original computer programs and data as “...

This paper deals with design of walking beam pendel axle suspension system. This axles and suspension systems are mainly required for transportation of heavy duty and Over Dimension Consignment (ODC) cargo, which is exceeding legal limit in terms of length, width and height. Presently, in Indian transportation industry, ODC movement growth rate has increased in transportation of bridge sections...

Timber transport in the forest is a very complex operation, and expensive from an energy point of view. Furthermore, in some cases, this operation can be very difficult and dangerous in unfavorable conditions of the road surface, which mainly occur in winter (frozen ground) and in spring (muddy ground). The goal of this study was to develop an innovative transmission hydraulic control system fo...

A series of di-, tri- and tetravalent axles and wheels for the synthesis of pseudorotaxanes bearing the tetralactam macrocycle/diamide axle binding motif was prepared. Starting from iodinated monovalent precursors, Sonogashira cross-coupling reactions were utilized to couple the binding sites to appropriate spacer groups. Through this "Lego" or "toolbox" approach, the convergent synthesis of ho...

We report the stepwise assembly of supramolecular daisy chain rotaxanes (DCR) made of double-stranded DNA: Small dsDNA macrocycles bearing an axle assemble into a pseudo-DCR precursor that was connected to rigid DNA stoppers to form DCR with the macrocycles hybridized to the axles. In presence of release oligodeoxynucleotides (rODNs), the macrocycles are released from their respective hybridiza...

Backing-up of articulated vehicles poses a difficult challenge even for experienced drivers. While long wheelbase dual-axle trailers provide a benefit of increased capacity over their single-axle counterparts, backing-up of such systems is especially difficult. We propose a control strategy for such systems, introducing concepts of the hitch control space and noslip curve derived from no-slip k...

The Federal Highway Administration (FHWA) Office of Highway Planning requires states to furnish vehicle classification data as part of the Highway Performance Monitoring Systems (HPMS). To comply with this requirement, most states use the “F-Scheme” to classify vehicles. This scheme classifies vehicles in 13 classes depending on a number of factors, primarily the number of axles and the axle sp...

The article considers and calculates the brake system of a two-axle service diesel motor car, consisting two subsystems acting separately on axles provided that each axle is served by one cylinder 501b. A calculation was made in order to evaluate effectiveness friction tread car model AS-01uz.