Unsigned letter to John Williams stating that before the return of the final estimate, the arch of the bridge must be completed

Unsigned letter to John Williams stating that before the return of the final estimate, the arch of the bridge must be completed, Sept. 19, 1857

Letter to S.D. Woodruff from Fred Holmes stating that there are 4 bents in the Port Robinson Bridge over the Chippawa

Letter to S.D. Woodruff from Fred Holmes stating that there are 4 bents in the Port Robinson Bridge over the Chippawa. This is more than are shown in the plan, Oct. 5, 1857.

Letter to S.D. Woodruff stating the total quantity of timber plank in the Port Robinson Bridge at Chippawa

Letter to S.D. Woodruff stating the total quantity of timber plank in the Port Robinson Bridge at Chippawa. This is signed by Fred Holmes, Oct. 6, 1857.

Calculations regarding the bridge crossing Chippawa

Calculations regarding the bridge crossing Chippawa (1 page, penciled calculations), n.d.

This document is very badly burned, it includes: a schedule of construction, May 28, 1855 and value of work used for constructing the bridge crossing at Chippawa Creek, Oct. 1857

This document is very badly burned, it includes: a schedule of construction, May 28, 1855 and value of work used for constructing the bridge crossing at Chippawa Creek, Oct. 1857. It is signed by S.D. Woodruff (3 pages, handwritten). Almost all text is illegible, 1857

Approximate estimate of the cost of macadamizing, grading, bridging and putting in culverts from Hurst’s Bridge above Thorold to Port Robinson

Approximate estimate of the cost of macadamizing, grading, bridging and putting in culverts from Hurst’s Bridge above Thorold to Port Robinson (2 pages, handwritten), n.d.

Letter to S.D. Woodruff from William Colburn with the letterhead “Office of Detroit Bridge and Iron Works”

Letter to S.D. Woodruff from William Colburn with the letterhead “Office of Detroit Bridge and Iron Works” regarding stating that he closed up the business with Dewey’s. He states that “we” now have “warranty deeds” from them for exclusive rights for all time for hunting, shooting and trapping, Mar. 20, 1884.

Profile of levels of the ditch and creek from Lyon Creek Culvert to Gordon’s Bridge

Profile of levels of the ditch and creek from Lyon Creek Culvert to Gordon’s Bridge (1 page, hand drawn), n.d.

County of Welland estimate of work done on constructing a bridge across the tap drain at Marshville by Alexander Lattimer

County of Welland estimate of work done on constructing a bridge across the tap drain at Marshville by Alexander Lattimer, signed by S.D. Woodruff. Estimate no.1, June, 1856.

Printed blank of freight Notice for shipping from the Suspension Bridge to St. Catharines for tiles and collars

Printed blank of freight Notice for shipping from the Suspension Bridge to St. Catharines for tiles and collars, June 25, 1875.

Printed blank of freight Notice for shipping from the Suspension Bridge to St. Catharines for tile

Printed blank of freight Notice for shipping from the Suspension Bridge to St. Catharines for tiles, Aug.6, 1875.

Lower Bounds for Achieving Synchronous Early Stopping Consensus with Orderly Crash Failures

In this paper, we discuss the consensus problem for synchronous distributed systems with orderly crash failures. For a synchronous distributed system of n processes with up to t crash failures and f failures actually occur, first, we present a bivalency argument proof to solve the open problem of proving the lower bound, min (t + 1, f + 2) rounds, for early-stopping synchronous consensus with orderly crash failures, where t < n - 1. Then, we extend the system model with orderly crash failures to a new model in which a process is allowed to send multiple messages to the same destination process in a round and the failing processes still respect the order specified by the protocol in sending messages. For this new model, we present a uniform consensus protocol, in which all non-faulty processes always decide and stop immediately by the end of f + 1 rounds. We prove that the lower bound of early stopping protocols for both consensus and uniform consensus are f + 1 rounds under the new model, and our proposed protocol is optimal.

Thermal Noise Behavior of the Bridge Circuit

This paper considers a connection between the deterministic and noisy behavior of nonlinear networks. Specifically, a particular bridge circuit is examined which has two possibly nonlinear energy storage elements. By proper choice of the constitutive relations for the network elements, the deterministic terminal behavior reduces to that of a single linear resistor. This reduction of the deterministic terminal behavior, in which a natural frequency of a linear circuit does not appear in the driving-point impedance, has been shown in classical circuit theory books (e.g. [1, 2]). The paper shows that, in addition to the reduction of the deterministic behavior, the thermal noise at the terminals of the network, arising from the usual Nyquist-Johnson noise model associated with each resistor in the network, is also exactly that of a single linear resistor. While this result for the linear time-invariant (LTI) case is a direct consequence of a well-known result for RLC circuits, the nonlinear result is novel. We show that the terminal noise current is precisely that predicted by the Nyquist-Johnson model for R if the driving voltage is zero or constant, but not if the driving voltage is time-dependent or the inductor and capacitor are time-varying

Estimation of electronic coupling in π -stacked donor-bridge-acceptor systems: correction of the two-state model

Comparison of donor-acceptor electronic couplings calculated within two-state and three-state models suggests that the two-state treatment can provide unreliable estimates of Vda because of neglecting the multistate effects. We show that in most cases accurate values of the electronic coupling in a π stack, where donor and acceptor are separated by a bridging unit, can be obtained as Ṽ da = (E2 - E1) μ12 Rda + (2 E3 - E1 - E2) 2 μ13 μ23 Rda2, where E1, E2, and E3 are adiabatic energies of the ground, charge-transfer, and bridge states, respectively, μij is the transition dipole moments between the states i and j, and Rda is the distance between the planes of donor and acceptor. In this expression based on the generalized Mulliken-Hush approach, the first term corresponds to the coupling derived within a two-state model, whereas the second term is the superexchange correction accounting for the bridge effect. The formula is extended to bridges consisting of several subunits. The influence of the donor-acceptor energy mismatch on the excess charge distribution, adiabatic dipole and transition moments, and electronic couplings is examined. A diagnostic is developed to determine whether the two-state approach can be applied. Based on numerical results, we showed that the superexchange correction considerably improves estimates of the donor-acceptor coupling derived within a two-state approach. In most cases when the two-state scheme fails, the formula gives reliable results which are in good agreement (within 5%) with the data of the three-state generalized Mulliken-Hush model

Robustness against large-scale failures in communications networks

This thesis studies robustness against large-scale failures in communications networks. If failures are isolated, they usually go unnoticed by users thanks to recovery mechanisms. However, such mechanisms are not effective against large-scale multiple failures. Large-scale failures may cause huge economic loss. A key requirement towards devising mechanisms to lessen their impact is the ability to evaluate network robustness. This thesis focuses on multilayer networks featuring separated control and data planes. The majority of the existing measures of robustness are unable to capture the true service degradation in such a setting, because they rely on purely topological features. One of the major contributions of this thesis is a new measure of functional robustness. The failure dynamics is modeled from the perspective of epidemic spreading, for which a new epidemic model is proposed. Another contribution is a taxonomy of multiple, large-scale failures, adapted to the needs and usage of the field of networking.