A new mathematical hull-form with 10-shape parameters for evaluation of ship response in waves

This study presents a new mathematical hull-form that is expressed as an explicit function with 10 hull-form parameters, which is called the Matsui hull-form in this study. The proposed hull-form was developed by expanding the modified Wigley hull-form so that the following 10 hull-form parameters can be independently varied: main dimensions $$L$$ L , $$B$$ B , $$d$$ d , fineness coefficients $${C}_{b}$$ C b , $${C}_{\mathrm{m}}$$ C m , $${C}_{\mathrm{w}}$$ C w , second moment of waterplane area coefficient $${C}_{\mathrm{w}2}$$ C w 2 , longitudinal center of buoyancy LCB and floatation LCF, and a parameter $$\beta$$ β related to anterior–posterior asymmetry. The main purpose of this hull-form is that it is utilized for the following two objects: the first is the simple evaluation of the seakeeping performance and wave loads in the early ship designing stage without any detailed offset data, and the second is a systematical study on the influence of a ship’s dimensions on the ship response in waves. This paper presents the derivation of the Matsui hull-form and the applicability of the proposed hull-from was confirmed by comparing the ship response in waves with the actual ships. Moreover, a sensitivity analysis of the ship response in waves was conducted as an example of the application of the proposed hull-form.

Exploring the inflation of F(R) gravity

The early-time expansion of the spacetime, namely, inflation, is introduced to solve some cosmological problems. [Formula: see text] gravity is a simple extension of the general relativity to induce the inflationary expansion. The precise observation of the Cosmic Microwave Background gives us the information to inspect the model of the inflation. [Formula: see text] gravity can be transformed to the Einstein–Hilbert term with a scalar field that plays the role of the inflaton. The inflaton potential is described as an explicit function of the inflaton field with a noncanonical kinetic term. In this paper, we obtain general formulae to derive the inflationary parameters including the models with a noncanonical kinetic term. The inflationary parameters are described as functions of the inflaton potential and its derivatives. We evaluate a well-known model, [Formula: see text], to confirm the validity of our formulae. Then, we apply the procedure to a model, [Formula: see text], in which it is not possible to represent the potential as an explicit function of the inflaton field with a canonical kinetic term.

‘Making Public Theology Operational’: Public Theology and the Church

This article examines how public theologians aim to bring their theology into the practice of the church. In the first part it analyses the references to the church in the work of contemporary public theologians from the United States and Germany and suggests four different categories for the relations explored (explicit function, implicit function, public church, church as public). In the second part, it discusses three systematic aspects of these relations. First, following Kuyper, it defines the term ‘church’ more accurately. Second, it offers insights into liturgical research in order to help to sharpen the places where and means by which the implicit shaping of individual ethical behaviour in the church takes place, as exemplified in the work of Dirk Smit. Third, it discusses the task of pastors as mediators between church and theology.

The Duplicitous Nature of the Familiar Urban Object: the Shopping Cart at Bennett’s Food Market, Where Food Buying is Most Satisfactory

When Sylvan Goldman invented the first shopping cart in the 1930s, it is unlikely he envisioned its eventual entrance into the rivers and swamps. Though advertised as a solution for the arm-weary shopper, the function was no doubt two-fold in truth: while the explicit function of the shopping cart was to ease the load for supermarket shoppers, the more implicit function was to ease them into buying more. However, the customers at Bennett’s Food Market in Kingston, Ontario – at the corner of Charles and Bagot through the early 1900s to the early 2000s – helped to turn those expectations upside down. Through an extensive collection of oral history interviews, The Swamp Ward and Inner Harbour History Project has catalogued the neighbourhoods’ long-standing relationship with carts, but also the long-standing relationship with the grocery store that provided them. By focusing in on what first appears as a familiar urban object and considering it specifically in the context of Bennett’s Food Market, the shopping cart is revealed as far more than a basket on wheels. Shopping carts can nurture people not just by being filled up with food that’s then bought and consumed, and they can support a weight that’s not just of groceries, but that’s human.

A Stability Theorem for Matchings in Tripartite 3-Graphs

It follows from known results that every regular tripartite hypergraph of positive degree, with n vertices in each class, has matching number at least n/2. This bound is best possible, and the extremal configuration is unique. Here we prove a stability version of this statement, establishing that every regular tripartite hypergraph with matching number at most (1 + ϵ)n/2 is close in structure to the extremal configuration, where ‘closeness’ is measured by an explicit function of ϵ.

A Taylor Expansion Approach for Computing Structural Performance Variation From Population-Based Shape Data

Rapid advancement of sensor technologies and computing power has led to wide availability of massive population-based shape data. In this paper, we present a Taylor expansion-based method for computing structural performance variation over its shape population. The proposed method consists of four steps: (1) learning the shape parameters and their probabilistic distributions through the statistical shape modeling (SSM), (2) deriving analytical sensitivity of structural performance over shape parameter, (3) approximating the explicit function relationship between the finite element (FE) solution and the shape parameters through Taylor expansion, and (4) computing the performance variation by the explicit function relationship. To overcome the potential inaccuracy of Taylor expansion for highly nonlinear problems, a multipoint Taylor expansion technique is proposed, where the parameter space is partitioned into different regions and multiple Taylor expansions are locally conducted. It works especially well when combined with the dimensional reduction of the principal component analysis (PCA) in the statistical shape modeling. Numerical studies illustrate the accuracy and efficiency of this method.