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On a Conjecture of Petrov and Tolev Related to Chen’s Theorem
For any real number y, let [y] be the largest integer not exceeding y. Petrov and Tolev conjectured that there exists a constant \(c_{0}>1\) ...
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On the least almost-prime in arithmetic progression
Let \({{\cal P}_r}\) denote an almost-prime with at most r prime factors, counted according to multiplicity. Suppose that a and...
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Article
A comprehensive evaluation of axial gas permeability in wood using XCT imaging
The permeation of fluid through wood is a crucial aspect of the drying and modification of this material. The accurate measurement of wood permeability and the analysis of the effects of microstructure on perm...
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Effects of rice-prawn (Macrobrachium nipponense) co-culture on the microbial community of soil
In the Lixiahe region of China, co-culture has been rapidly promoted in flooded paddy fields owing to its ecological and economic benefits. Rice-prawn co-culture can reduce the damage of crab and shrimp to ric...
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Article
Seismic Subsidence of Soft Subgrade with Considering Principal Stress Rotation
Under cyclic loads such as earthquake, the complex stress path involving continuous principal stress rotation existed in the soil. It is a common but easily neglected phenomenon. The previous research on soft ...
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On a binary Diophantine inequality involving prime numbers
Let \(1< c < \frac{59}{44},\, c\ne \frac{4}{3}\) 1 < ...
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Combining mercury intrusion porosimetry and fractal theory to determine the porous characteristics of wood
The understanding of pore characteristics is the basis for studying the macroscopic physical properties of wood. Herein, mercury intrusion porosimetry (MIP) was analyzed in detail as a function of pressure to ...
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Article
Open AccessOral mosapride can provide additional anti-emetic efficacy following total joint arthroplasty under general anesthesia: a randomized, double-blinded clinical trial
We sought to determine (1) whether the addition of prophylactic oral mosapride to a protocol including dexamethasone and ondansetron further reduces postoperative nausea and vomiting (PONV) compared with ondan...
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On a Diophantine inequality involving prime numbers
Let \(2< c < \frac{52}{25}\)2<c<5225. In this paper, it is proved that for any sufficiently large real number N, the Diophantine inequality $$|p_1^{c} + p_2^{c} + p_3^{c} + p_4^{c} + p_5^{c} - N|< N^{-\frac{9}{10...
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On a Diophantine equation involving primes
Let \([\theta ]\) [ θ ...
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Article
A Causal Relationship in Spinal Cord Injury Rat Model Between Microglia Activation and EGFR/MAPK Detected by Overexpression of MicroRNA-325-3p
Microglial activation and inflammatory response played an important role in the secondary injury of spinal cord injury (SCI). Several microRNAs were associated with this procedure, but the underlying molecular...
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Article
Waring-Goldbach Problem: One Square and Nine Biquadrates
In this paper it is proved that every sufficiently large even integer N satisfying one of the congruence conditions N ≡ 10, 58, 130, or 178 (mod 240) may be represented as the sum of one square and nine fourth po...
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Artificial neural network modeling for predicting elastic strain of white birch disks during drying
Elastic strain is one of the most important parameters associated with drying stresses. The research presented in this paper attempts to develop an artificial neural network based model for predicting elastic ...
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Article
Methodology for Establishing Risk Criteria for Dams in Develo** Countries, Case Study of China
Despite the rapid development of risk analysis, there is a relative absence of risk criteria for dams in develo** countries recently, which restrained the practical application of the research results. This ...
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Mass and heat transfer mechanism in wood during radio frequency/vacuum drying and numerical analysis
The mass and heat transfer mechanisms during radio frequency/vacuum (RF/V) drying of square-edged timber were analyzed and discussed in detail, and a new one-dimensional mathematical model to describe the tran...
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The moisture transfer mechanism and influencing factors in wood during radio-frequency/vacuum drying
Wood from Sugi trees (Cryptomeria japonica D. Don) was used and the driving force for moisture transfer, the contribution ratio (for evaporation from the cross section) of the drying rate along the longitudinal ...
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Fatigue property of basalt fiber-modified asphalt mixture under complicated environment
The fatigue property of asphalt mixtures under complicated environment (low-temperature bending performance, chloride penetration, freezing-thawing cycle and their coupling effect) and the improvement effect f...
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Article
The Waring–Goldbach problem: one square and five cubes
Let P r denote an almost-prime with at most r prime factors, counted according to multiplicity. In this paper, it is proved that for every sufficiently large ev...
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Article
On the slim exceptional set for the Lagrange four squares theorem
Let P r denote an almost-prime with at most r prime factors, counted according to multiplicity, and let E 3(N) denote the number...
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Article
A remark on the values of binary linear forms at prime arguments
Let λ1, λ2 be positive real numbers such that \({\frac{{\lambda_1}}{{\lambda_2}}}\) is irrational and algebraic. For ...