On the Diophantine Equation w + z + y = z, with w z y z =2r3s5t

Foster, Lorraine L.; Alex, Leo J.

doi:10.5209/rev_rema.1995.v8.n1.17688

Cited by 5 publications

(4 citation statements)

References 1 publication

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“…BPA has two absorbance peaks, 225 nm (solvent absorbance wavelength) and 278 nm (detection wavelength). The limit of detection (LOD) of this study was 0.05 μg m/L [87][88][89]. Lie et al developed a competitive immunoassay based on surface-enhanced Raman spectroscopy (SERS) to identify BPA in bottled water.…”

Section: Spectrometrymentioning

confidence: 86%

A systematic review on bisphenols – Sources, health impacts, and analytical determination of bisphenol A in aqueous samples

Vinod,

P S,

P B

2023

Separation Science Plus

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Bisphenol A and its structural analogs are used by industrial processes for the manufacture of plastics, and medical and electronic devices. When these products are disposed of, they tend to leach out causing pollution and impacting human health. Thus, many studies are focused on detecting the presence of Bisphenols in environmental matrices, especially in water and food, as it is a major route of human exposure. Advancements have been made in the preparation and detection of samples using different analytical techniques. The most widely used techniques for bisphenol detection are liquid chromatography and gas chromatography coupled with mass spectroscopy. The progress made for ultra‐trace detection of Bisphenols via the development of efficient sample extraction techniques and the benefits of each technique are highlighted. The recent advances in detection techniques using colorimetric and Raman spectroscopy are reviewed with an emphasis on the use of portable onsite techniques compared to conventional labor‐intensive and time‐consuming techniques. An overview of all the approaches to determining Bisphenols in environmental and food samples is discussed in detail to provide insight into the progress made in this field.

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Section: Spectrometrymentioning

confidence: 86%

A systematic review on bisphenols – Sources, health impacts, and analytical determination of bisphenol A in aqueous samples

Vinod,

P S,

P B

2023

Separation Science Plus

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“…A higher CaF 2 content improved the cementitious activity of the reformed steel slag while simultaneously reducing the levels of unstable substances (e.g., f-CaO and f-MgO), thus providing favorable conditions for the subsequent use of SS as a cementitious material. In their study of reconstructed molten SS, Lei et al [82] introduced fly ash into molten SS at a converter furnace temperature of 1500°C. The addition of fly ash to the reconstructed SS contributed to a reduction in the f-CaO content, thereby enhancing the long-term stability.…”

Section: Melting Blast Furnace Slag and Steel Slag For Cementitious M...mentioning

confidence: 99%

Recycling of iron and steel slag for carbon reduction and low‐environment load application

Xu,

Li,

et al. 2024

Carbon Neutralization

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The high‐value utilization of blast furnace slag (BFS) and steel slag (SS) as a valuable resource in the field of carbon reduction represents a green revolution, and also is an indispensable path toward breaking through resource and environmental constraints and achieving high‐quality, sustainable development through solid waste utilization in the steel industry. Achieving resource recycling while harnessing the untapped latent energy of resources and exploring their carbon sequestration capabilities has become a crucial avenue for further valorization through waste utilization. BFS and SS discharged from iron‐making or steel‐making furnaces carry a significant amount of latent heat, especially the calcium oxide component in SS, which gives it a unique advantage in the field of comprehensive BFS and SS utilization and carbonation‐based SS utilization. This article discusses the current research status of low‐carbon‐waste‐heat utilization in the production of microcrystalline glass, cementitious materials, functional adsorbents, and other products through front‐end modification of molten BFS and SS. This report also provides an overview of carbon capture by utilizing BFS and SS, offering insights into the research directions for subsequent heat recovery, online quality adjustment, high‐value utilization, and carbon sequestration using BFS and SS in the steel industry.

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“…At this point we mention that one can find in the literature several sparse results of this type; see e.g. the papers [7,2,3] and the references there. However, in these papers the appropriate moduli are found in a rather ad-hoc way, at least no clear strategy is explained to choose them.…”

Section: Principal Strategymentioning

confidence: 99%

“…For example, Alex, Brenner and Foster in a series of papers (see e.g. [7,2,3] and the references there) solved several equations of type (1.1), with typically k = 4, 5 and choices of b 11 , . .…”

Section: Introductionmentioning

confidence: 99%

A Hasse-type principle for exponential Diophantine equations and its applications

Bertók

Hajdu

2015

Math. Comp.

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Abstract. We propose a conjecture, similar to Skolem's conjecture, on a Hasse-type principle for exponential diophantine equations. We prove that in a sense the principle is valid for "almost all" equations. Based upon this we propose a general method for the solution of exponential diophantine equations. Using a generalization of a result of Erdős, Pomerance and Schmutz concerning Carmichael's λ function, we can make our search systematic for certain moduli needed in the method.

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On the Diophantine Equation w + z + y = z, with w z y z =2r3s5t

Abstract: ABSTRACT. In this paper we complete the solution to the equation tu + x + y = z, where w,z,y asid 2 are positive integers and wxyz has the form 2r3s5t with r, s and 1 non-negative integers. Here we consider the case

Cited by 5 publications

References 1 publication

A systematic review on bisphenols – Sources, health impacts, and analytical determination of bisphenol A in aqueous samples

A systematic review on bisphenols – Sources, health impacts, and analytical determination of bisphenol A in aqueous samples

Recycling of iron and steel slag for carbon reduction and low‐environment load application

A Hasse-type principle for exponential Diophantine equations and its applications

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