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The purpose of this paper is to investigate the selenium content in seven different infant starting formulae, eight different follow‐on formulae and in 15 different special infant formulae, from various producers, all commercially available in Slovenia.

Each product was taken in various lots during a three‐year period (from 2004 to 2006). For the determination of selenium content in different infant formulae the method of hydride generation atomic fluorescence spectrometry (HG‐AFS) was optimised. The reliability of the method was checked by the independent method of radiochemical neutron activation analysis (RNAA).

The values for different infant formulae ranged from 20.9 to 207.9 ng/g powder. The paper compared the values obtained with the declared values where possible. The average concentration showed insufficient agreement with the declared value in four out of 30 cases. The paper also found significant variation in selenium content between formulae in the same group. In some cases, large variations between different lots of the same product were found.

Calculated from our results, from infant formulae babies obtain from 2.4 to 24.0 ug Se per day, showing insufficient agreement with recommended daily intakes published by D_A_CH and by WHO. Since information on the endogenous Se levels of infant formulae is largely lacking, therefore there is still need for stricter quality control of the selenium content in infant formulae.

The modern infant formula has evolved over many generations and many changes have taken place in the UK to produce formulas which are nutritionally complete. Reviews the modifications made to cow’s milk using skim milk, demineralized whey protein, non‐milk fats and non‐milk sugars and describes current formulas developed for babies with special needs. Gives a brief review of the recent UK guidelines on the nutritional assessment of infant formulas and outlines future trends.

Budget allocation formulas claim objectivity, and hence fairness. But factors composing the formula are limited to supply, demand, and cost. Attempts to correct for this imbalance of empirical data like usage have led to the use of weighted values in the formulas. This paper seeks to argue that assigning “weight” in a formula introduces value judgments and subjectivity, leaving only the misplaced illusion of objectivity.

The paper surveys the published literature on the use of monograph budget allocation formulas and provides analysis to highlight the underlying problems of allocation formulas.

Over the past several decades numerous permutations of the monograph allocation formula have been proposed and published. But there is no magic in formulas once value judgments are introduced. Instead, one is only left with the appearance of objectivity.

This paper is a review of the philosophical and economic underpinnings in the library literature on allocation formulas and subsequent budget distribution. It seeks to demonstrate the subjective nature of these formulas, once they are separated from empirical data. The paper seeks to demonstrate the dangerous illusion of objectivity that formulas can create when implemented.

Several experimental and numerical studies were performed in the past to estimate buckling capacity of corroded tubular members. However, the effect of initial imperfections has not been properly considered in most of these earlier proposed formulas. Therefore, the main objective of this paper is to propose an accurate analytical formula to determine the buckling capacity of patched corroded tubular members.

Tubular members with initial geometrical imperfections can be regarded as beam-columns because of the combination of axial load and bending moment. The proposed formula is derived for a rectangular corrosion patch. The proposed formula is verified with results from finite element analysis of corroded tubular members and experimental results. The formula is also applied to an existing offshore jacket structure to highlight its significance and applicability. It is found that the buckling capacity of jacket members in splash zone reduces significantly with ageing. This reduction is around 29 and 14% for the selected brace and leg member respectively, during the design life. Finally, it is concluded that corrosion reduces the buckling capacity significantly and the proposed formula can be easily applied by practicing engineers to give an accurate and slightly conservative estimate the remaining buckling capacity.

The main finding is the new formula which accurately and conservatively estimate the buckling capacity of corroded tubular members. The proposed formula considers the secondary effect of both initial geometrical imperfections and shifting of centroid because of corrosion.

The proposed new formula is unique and original in that it considers both secondary effects from geometrical imperfections, reduction of cross-section from corrosion wastage and shifting of centroid because of corrosion. Finally, it is concluded that corrosion reduces the buckling capacity significantly and the proposed formula can be easily applied by practicing engineers to conservatively estimate the remaining buckling capacity and verify if further, more advanced estimations are needed.

The purpose of this paper is to analyse whether the development of a needs‐based funding formula for resource allocation incorporates the needs of funders or the needs of the service providers.

The paper analyses interview data and documentary evidence gathered from a UK local education authority about the creation of a “needs‐based” formula for sharing resources to schools. It employs and extends a framework developed by Levačić and Ross to evaluate needs‐based formula funding.

Although formula funding is purported to be a more objective method of resource allocation, the paper finds that as with other resource allocation methods the power relations between the funder and the service provider impacts on the extent to which service provider needs are incorporated into the funding formula.

This paper considers only the funding of schools. Further work is needed to investigate formula funding for other public services.

Debates between funders and service providers should be encouraged by policy makers to ensure that allocations based on the funding formula are acceptable to service providers.

The paper provides a useful analysis of a needs‐based funding formula for resource allocation in schools and whether this incorporates the needs of funders or the needs of the service providers.

This paper aims to present an open source math-aware Question Answering System based on Ask Platypus.

The system returns as a single mathematical formula for a natural language question in English or Hindi. These formulae originate from the knowledge-based Wikidata. The authors translate these formulae to computable data by integrating the calculation engine sympy into the system. This way, users can enter numeric values for the variables occurring in the formula. Moreover, the system loads numeric values for constants occurring in the formula from Wikidata.

In a user study, this system outperformed a commercial computational mathematical knowledge engine by 13 per cent. However, the performance of this system heavily depends on the size and quality of the formula data available in Wikidata. As only a few items in Wikidata contained formulae when the project started, the authors facilitated the import process by suggesting formula edits to Wikidata editors. With the simple heuristic that the first formula is significant for the paper, 80 per cent of the suggestions were correct.

This research was presented at the JCDL17 KDD workshop.

The primary purpose of this paper is to develop the translation formula between the required return on unlevered and levered equity for the specific case where cash flows have a finite lifetime and the flow to debt is prespecified. The secondary purpose of this paper is to underpin the importance of the type of stochasticity of cash flows for translation formulas. A general derivation of such formulas and the discount rate in the free cash flow approach is shown.

The paper starts with the same assumptions that have been applied by Modigliani and Miller (1963), Miles and Ezzell (1980) and other researchers. Then the paper develops the mathematical foundations to apply a deterministic backward-iterative scheme for valuing cash flows. After stating the valuation formulas for levered and unlevered equity, debt and tax shields, the authors mathematically derive the relationship between the unlevered return and levered return on equity.

Conventional translation formulas apply to very special cases. They can generally not be used for projects with nonconstant leverage and a finite lifetime. In general, translation formulas depend on continuing values, cash flows, leverage, taxation, risk-free rate, etc. In this paper, the translation depends on the structure of the debt in addition to the well-known parameters in conventional formulas. This paper formula contains the Modigliani-Miller translation formula as a special case.

The authors develop a novel formula for the translation of the required return on unlevered to levered equity. With this formula, the authors offer a solution for the consistent valuation of cash flows with a limited lifetime and given debt financing.

The purpose of this paper is to make a theoretical comprehensive efficiency evaluation of a nonlinear analysis method based on the Woodbury formula from the efficiency of the solution of linear equations in each incremental step and the selected iterative algorithms.

First, this study employs the time complexity theory to quantitatively compare the efficiency of the Woodbury formula and the LDLT factorization method which is a commonly used method to solve linear equations. Moreover, the performance of iterative algorithms also significantly effects the efficiency of the analysis. Thus, the three-point method with a convergence order of eight is employed to solve the equilibrium equations of the nonlinear analysis method based on the Woodbury formula, aiming to improve the iterative performance of the Newton–Raphson (N–R) method.

First, the result shows that the asymptotic time complexity of the Woodbury formula is much lower than that of the LDLT factorization method when the number of inelastic degrees of freedom (IDOFs) is much less than that of DOFs, indicating that the Woodbury formula is more efficient for local nonlinear problems. Moreover, the time complexity comparison of the N–R method and the three-point method indicates that the three-point method is more efficient than the N–R method for local nonlinear problems with large-scale structures or a larger ratio of IDOFs number to the DOFs number.

This study theoretically evaluates the efficiency of nonlinear analysis method based on the Woodbury formula, and quantitatively shows the application condition of the comparative methods. The comparison result provides a theoretical basis for the selection of algorithms for different nonlinear problems.

Not much information is broadly shared about how current system and resource library funding formulas operate. Do the formulas encourage or discourage certain programs or services? How are systems and resource libraries funded across the country? These questions are vital to systems looking for fiscal models that work. Having examined the costs of basic services provided by the seven Colorado regional library service systems and the Colorado Resource Center (CRC) previously in the Bottom Line (Fall 1990, pp. 18–24), this second article reviews the current funding formulas for the systems and the CRC.