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Let b¯2,3(n), which enumerates the number of (2, 3)-regular overcubic bipartition of n. The purpose of the paper is to describe some congruences modulo 8 for b¯2,3(n). For example, for each α ≥ 0 and n ≥ 1, b¯2,3(8n+5)≡0(mod8), b¯2,3(2⋅3α+3n+4⋅3α+2)≡0(mod8).

H.C. Chan has studied the congruence properties of cubic partition function a(n), which is defined by ∑n=0∞a(n)qn=1(q;q)∞(q2;q2)∞.

To establish several congruence modulo 8 for b¯2,3(n), here the author keeps to the classical spirit of q-series techniques in the proofs.

The results established in the work are extension to those proved in ℓ-regular cubic partition pairs.

This paper aims to analyze the pressure distribution of rectangular aerostatic thrust bearing with a single air supply inlet using the complex potential theory and conformal mapping.

The Möbius transform is used to map the interior of a rectangle onto the interior of a unit circle, from which the pressure distribution and load carrying capacity are obtained. The calculation results are verified by finite difference method.

The constructed Möbius formula is very effective for the performance characteristics researches for the rectangular thrust bearing with a single air supply inlet. In addition, it is also noted that to obtain the optimized load carrying capacity, the square thrust bearing can be adopted.

The Möbius transform is found suitable to describe the pressure distribution of the rectangular thrust bearing with a single air supply inlet.

The purpose of the study is to obtain and analyze vibro-acoustic characteristics.

A unified analysis model for the rotary composite laminated plate and conical–cylindrical double cavities coupled system is established. The related parameters of the unified model are determined by isoparametric transformation. The modified Fourier series are applied to construct the admissible displacement function and the sound pressure tolerance function of the coupled systems. The energy functional of the structure domain and acoustic field domain is established, respectively, and the structure–acoustic coupling potential energy is introduced to obtain the energy functional. Rayleigh–Ritz method was used to solve the energy functional.

The displacement and sound pressure response of the coupled systems are acquired by introducing the internal point sound source excitation, and the influence of relevant parameters of the coupled systems is researched. Through research, it is found that the impedance wall can reduce the amplitude of the sound pressure response and suppress the resonance of the coupled systems. Besides, the composite laminated plate has a good noise reduction effect.

This study can provide the theoretical guidance for vibration and noise reduction.

The purpose of this article is based on the unit patent license fee model in the closed-loop supply chain.

This paper analyzes the impact of the bundling strategy of the retailer selling new products and remanufactured products on the closed-loop supply chain under the condition that the original manufacturer produces new products and the remanufacturer produces remanufacturing products.

The results show that alternative products can be bundled, and in many cases, the bundling of remanufactured products and new products is better than selling alone.

If the retailer chooses bundling, for the remanufacturer, when certain conditions are met, the benefits of bundling are greater than the separate sales at that time; for the original manufacturer, when the recycling price sensitivity coefficient is high, the bundling is better than separate sales.

The author studies forms over finite fields obtained as the determinant of Hermitian matrices and use these determinatal forms to define and study the base polynomial of a square matrix over a finite field.

The authors give full proofs for the new results, quoting previous works by other authors in the proofs. In the introduction, the authors quoted related references.

The authors get a few theorems, mainly describing some monic polynomial arising as a base polynomial of a square matrix.

As far as the author knows, all the results are new, and the approach is also new.

The importance of sovereign bond as a source of financing revenue deficit, benchmarking for corporate bonds and debt management in Africa, calls for continual monitoring of its volatility dynamics. This study evaluates the nature of sovereign bond volatility interaction between African countries using bivariate BEKK-GARCH (1, 1) model. Based on a sample of eight African countries, the results show evidence of unidirectional volatility spillover from Morocco sovereign bond to Egypt sovereign bond. Next, the results show absence of volatility interaction between Ghana and Nigeria sovereign bonds. The results further show the existence of bidirectional volatility transmission between Uganda and Kenya. Finally, the results indicate evidence of bidirectional volatility interaction between Botswana and South Africa. Overall, the results show existence of full interaction between Uganda–Kenya and Botswana–South Africa sovereign bond returns, partial interaction between Egypt and Morocco sovereign bond returns and no interaction between Ghana and Nigeria sovereign bonds markets. Thus, these results provide valuable implications for sovereign and corporate credit risk management, as well as strategy for monitoring and minimising negative effect of sovereign bond volatility spillover in Africa.

A matrix is a Q0-matrix if for every k∈{1,2,…,n}, the sum of all k×k principal minors is nonnegative. In this paper, we study some necessary and sufficient conditions for a digraph to have Q0-completion. Later on we discuss the relationship between Q and Q0-matrix completion problem. Finally, a classification of the digraphs of order up to four is done based on Q0-completion.

The author investigates realized comoments that overcome the drawback of conventional ones and derive the following findings. First, the author proves that (even generalized) geometric implied lower-order comoments yield neither geometric realized third comoment nor fourth moment. This is in contrast to previous studies that produce geometric realized third moment and arithmetic realized higher-order moments through lower-order implied moments. Second, arithmetic realized joint cumulants are obtained through complete Bell polynomials of lower-order joint cumulants. This study’s realized measures are unbiased estimators and they can, therefore, overcome the drawbacks of conventional realized measures.

The purpose of this study is to investigate factors surrounding low Emirati student recruitment and retention within a nursing programme in the Abu Dhabi Emirate. A sequential explanatory mixed methods research design was used to collect data from 140 Emirati students at different levels of the nursing program. Questionnaires, semi-structured interviews and related document analyses were used to collect information for this study. Quantitative analysis revealed that overall participants perceived the Emirati society as holding a positive image of nursing, though a majority of them indicated that nursing as a profession, would be a third or last choice of career for them. Inferential analysis on the reasons to choose or not choose nursing, revealed an opportunity to work as part of the team; and as a stepping stone to other professions as significant reasons, versus perceived program difficulty level, and perceived unpleasant tasks. Thematic analysis of interviews highlighted: 1) personal interest; 2) parental support; 3) awareness of the profession; 4) perceived barriers; 5) potential benefits, and 6) policies at the local and national levels. The study has several implications for nursing education and policy in the United Arab Emirates and the region.

.يبظوبأ ةرامإ يف ضيرمتلا جمانرب نمض مهب ظافتحﻻاو نييتارامﻹا ةبلطلا ددع ةلقب ةطيحملا لماوعلا ةسارد وه ةساردلا هذه نم ضرغلا نم تانايبلا عيمجتل ةطلتخم قرط يف لسلستم يثحب ميمصت مادختسا مت دقو 140 .ضيرمتلا جمانرب تايوتسم فلتخم ىلع ايتارامإ ابلاط تسﻻا تلمعتسا ةيبلغأ نأ يمكلا ليلحتلا فشك و .ةساردلا هذهل تامولعملا عمجل ةلصلا تاذ قئاثولا تﻼيلحتو ةمظنملا هبش تﻼباقملاو تانايب ضيرمتلا نأ ىلإ تراشأ مهتيبلغأ نأ نم مغرلا ىلع ،ضيرمتلل ةيباجيإ ةروص لمحي هنأ ىلع يتارامﻹا عمتجملا ىلإ نورظني نيكراشملا مهرايخ نوكيس ،ةنهمك ضيرمتلا رايتخا مدع وأ رايتخا بابسﻷ يلﻻدتسﻻا ليلحتلا يف و .مهل ةبسنلاب ةيفيظولا ةايحلا نم ريخﻷا وأ ثلاثلا ةماه ةيباجيإ بابسأك ،ىرخأ نهمل قﻼطنا ةطقنك وأ ؛قيرفلا نم ءزجك لمعلل ةصرف نع جئاتنلا تفشك ،ةيبلسلاو ةيباجيﻹا بابسﻷا لباقم ا يف و،ضيرمتلا رايتخﻻ رايتخا مدعل ةريبك ةيبلس بابسأ اهنأ ىلع ، اهيف بوغرملا ريغ ماهملاو ،جمانربلا ةبوعص ىوتسم ىلإ رظنلا ،لباقمل :تﻼباقملل يعيضاوملا ليلحتلا زربأو .ةنهمك ضيرمتلا 1 ( ؛ةيصخشلا ةحلصملا 2 ( ؛نيدلاولا معد 3 ( ةنهملاب يعولا ؛ 4 ( ؛ةعقوتملا زجاوحلا 5 ( و ،ةلمتحملا دئاوفلا 6 ( ةلود يف هتاسايسو ضيرمتلا ميلعت ىلع تاروصت ةدع ةساردلا هذهلو .ينطولاو يلحملا نييوتسملا ىلع تاسايسلا ةقطنملاو ةدحتملا ةيبرعلا تارامﻹا .

By observing facts of the “reversal of agglomeration” of Chinese enterprises during the period of rapid Internet development and using a new economic geography model combined with the data of the real estate sector, this paper deduces the influence of the “reshaping mechanisms” of the Internet on China's economic geography based on the “gravitation mechanism” of the Internet that affects the enterprises and the “amplification mechanism” of the Internet that amplifies the dispersion force of house prices.

In the empirical aspect, the dynamic spatial panel data model is used to test the micromechanisms of the impact of the Internet on enterprises' choice of location and the instrumental variable method is used to verify the macro effects of the Internet in reshaping economic geography.

It is found that in the era of the network economy, the Internet has become a source of regional competitive advantage and is extremely attractive to enterprises. The rapidly rising house price has greatly increased the congestion cost and has become the force behind the dispersion of enterprises. China's infrastructure miracle has closed the access gap which gives full play to network externalities and promotes the movement of enterprises from areas with high house prices to areas with low house prices.

The Internet is amplifying the dispersion force of congestion costs manifested as house prices and is reshaping China's economic geography. This paper further proposes policy suggestions such as taking the Internet economy as the new momentum of China's economic development and implementing the strategy of regional coordinated development.