2,910 research outputs found

    Finding and Excluding <i>b</i>-ary Machin-Type Individual Digit Formulae

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    AbstractConstants with formulae of the form treated by D. Bailey, P. Borwein, and S. Plouffe (BBP formulae to a given base b) have interesting computational properties, such as allowing single digits in their base b expansion to be independently computed, and there are hints that they should be normal numbers, i.e., that their base b digits are randomly distributed. We study a formally limited subset of BBP formulae, which we call Machin-type BBP formulae, for which it is relatively easy to determine whether or not a given constant κ has a Machin-type BBP formula. In particular, given b ∈ ℕ, b &gt; 2, b not a proper power, a b-ary Machin-type BBP arctangent formula for κ is a formula of the form κ = Σmam arctan(–b–m), am ∈ ℚ, while when b = 2, we also allow terms of the form am arctan(1/(1 – 2m)). Of particular interest, we show that π has no Machin-type BBP arctangent formula when b ≠ 2. To the best of our knowledge, when there is no Machin-type BBP formula for a constant then no BBP formula of any form is known for that constant.</jats:p

    Interview with Jonathan Darling, author of Systems of Suffering: Dispersal and the Denial of Asylum (2022)

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    This conversation between Jonathan Darling and Sarah M. Hughes focuses on Darling’s recently published book Systems of Suffering: Dispersal and the Denial of Asylum (2022). Based on research conducted over the course of six years, Systems of Suffering examines the emergence, development, and implications of the dispersal system in the UK. This market-based system of asylum governance is a process that distributes asylum seekers to predominantly urban areas and, Darling argues, represents a form of “distributed violence that is cumulative and incapacitating, and governs through the exhaustion of its critics and subjects” (p. 3). As the conversation unfolds, Darling talks about the implications of the rapidly shifting legal and policy landscape in the UK for the asylum dispersal and the challenges but, he suggests, political urgency of continuing to research it

    Jonathan Edwards a life

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    "Jonathan Edwards (1703-1758) is a towering figure in American history. A controversial theologian and the author of the famous sermon Sinners in the Hands of an Angry God, he ignited the momentous Great Awakening of the eighteenth century." "In this biography, Jonathan Edwards emerges as both a great American and a brilliant Christian. George M. Marsden evokes the world of colonial New England in which Edwards was reared - a frontier civilization at the center of a conflict between Native Americans, French Catholics, and English Protestants. Drawing on newly available sources, Marsden demonstrates how these cultural and religious battles shaped Edwards' life and thought. Marsden reveals Edwards as a complex thinker and human being who struggled to reconcile his Puritan heritage with the secular, modern world emerging out of the Enlightenment. In this, Edwards' life anticipated the deep contradictions of our American culture."--BOOK JACKET

    Technology and changes in skill structure: Evidence from seven OECD countries

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    This paper compares the changing skill structure of wage bills and employment in the United States with six other OECD countries (Denmark, France, Germany, Japan, Sweden, and the United Kingdom). We investigate whether a directly observed measure of technical change (R&D intensity) is closely linked to the growth in the importance of more highly skilled workers which has occurred in all countries. Evidence of a significant association between skill upgrading and R&D intensity is uncovered in all seven countries. These results provide evidence that skill-biased technical change is an international phenomenon that has had a clear effect of increasing the relative demand for skilled workers

    Hearts Torn Asunder: Trauma in the Civil War’s Final Campaign in North Carolina

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    In Hearts Torn Asunder: Trauma in the Civil War’s Final Campaign in North Carolina, author Earnest A. Dollar focuses...on the war\u27s impact on the soldiers and on the civilians caught between the two armies in a fresh look at...the war\u27s most significant remaining theater after Appomattox writes reviewer Jonathan M. Atkin

    Role of plasma temperature and residence time in stagnation plasma synthesis of c-BN nanopowders

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    The synthesis of cubic boron nitride (c-BN) nanoparticles is examined experimentally by introducing borane ammonia precursor into a thermal plasma oriented in a stagnation point geometry, where nanoparticles are formed in the flow field upon reaching a cold substrate. The quasi-one dimensional flow field allows for correlating the plasma temperature and residence time to the final particle phase, morphology, size, and purity. Constant temperature and residence time cases are studied to assess the parameter’s affect on the resulting particle characteristics. The as-synthesized nanoparticles are characterized by high-resolution transmission electron microscopy (HRTEM) and x-ray diffraction (XRD). Cubic structured particles are synthesized at plasma temperatures of 3000-8000K and precursor decomposition times ≥0.030s. The highest purity samples are produced at a plasma temperature and residence time of 6500K and 0.075s, respectively. Samples with lower c-BN content are observed with higher percentages of hexagonal and amorphous phases. The particle morphology shifts from spherical agglomerates to faceted shapes as c-BN purity increases. Also, particle size undergoes an increase in nominal size. The resulting phase and purity is proposed to be governed by growth mechanisms that result in high-energy particle-particle interactions where the energy transferred is sufficient for atomic re-alignment into a denser phase.M.S.Includes bibliographical referencesby Jonathan M Doyl

    High-mix, low-volume lean manufacturing implementation and lot size optimization at an aerospace OEM

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    Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Mechanical Engineering; and, (S.M.)--Massachusetts Institute of Technology, Sloan School of Management; in conjunction with the Leaders for Manufacturing Program at MIT, 2003.This electronic version was submitted by the student author. The certified thesis is available in the Institute Archives and Special Collections.Includes bibliographical references (p. 97-103).by Jonathan M. Rheaume.S.M

    Generosity Across the Income and Wealth Distributions

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    PoliticalEconomy|PublicFinanceDespite widespread interest, there is little systematic evidence on the relationship between income, wealth, and charitable giving. Although the media suggests that the well-off are stingy, the misuse of data, incomplete controls, inappropriate empirical specifications and a lack of accounting for the influence of outliers make these claims questionable. In this paper, PERC��������s Mary Julia and George R. Jordan, Jr. Professor of Public Policy Jonathan Meer and co-author Benjamin A. Priday use the Panel Study of Income Dynamics to provide descriptive statistics on this relationship. The authors find that, irrespective of specification, donative behavior increases with greater resources

    Tax Prices and Charitable Giving: Projected Changes in Donations Under the 2017 TCJA

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    LaborThe Tax Cut and Jobs Act of 2017 made significant changes to the rate structure of the Internal Revenue Code of the United States, including the near-doubling of the standard deduction. Many taxpayers who normally itemize their tax returns and deduct the amount given to charitable institutions are expected to switch to using the standard deduction. In working paper 1917, PERC��������s G.R. Jordan Professor Jonathan Meer, along with co-author Benjamin Priday, investigate the Act��������s effects on charitable giving using data from the Panel Study of Income Dynamics

    Generosity Across the Income and Wealth Distributions

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    HealthCareDiscussing how the rich spend their income is a topic of popular interest among the public and policymakers, yet little evidence exists that the wealthy are less likely to donate than other income groups, and the results of those studies that do are dubious due to questionable methodology and use of data. This issue of PERCspectives on Research summarizes working paper 2007, where Jonathan Meer, along with co-author Benjamin A. Priday, estimate the relationship between pre-tax income, wealth, and charitable giving to definitely answer whether the wealthy embody the stingy stereotype or are due more credit for their generosity
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