Representations of the Riemann zeta function: A probabilistic approach

In this paper, we give a short elementary proof of the well known Euler's recurrence formula for the Riemann zeta function at positive even integers and integral representations of the Riemann zeta function at positive integers and at fractional points by means of probabilistic approach. The proof is based on the moment generating function and the characteristic function of logistic and half-logistic distributions in probability theory

Application of MET Technique after Upper Limb Dysfunction after Breast Cancer Surgery

Object: Explore the application and actual effect of MET (Muscle Energy) technology after breast cancer surgery with upper limb dysfunction. Methods: Taking 40 female breast cancer patients who underwent surgical treatment in our hospital from September 2017 to June 2019 as the research objects, all of them successfully completed modified radical mastectomy for breast cancer. According to different nursing methods, the patients were randomly divided into two groups. The experiment There were 20 cases in each group and the control group. The control group was given routine functional recovery exercise intervention after the operation, and the experimental group added MET technology to the base of the control group. One month after the operation, the functional recovery of the affected limbs of the two groups of patients was effectively assessed. The upper limb dysfunction of the two groups was compared by statistical methods, and the shoulder joint range of motion (ROM) was used for performance. Results: Through early functional recovery training and MET technology, 19 cases of ROM in the experimental group showed compliance (95%), compared with only 14 cases (70%) in the control group. The difference in upper limb dysfunction between the two groups is very obvious with statistical significance (P<0.05). Conclusions: Early functional recovery training combined with muscle energy technology can promote the recovery of upper limb dysfunction after breast cancer surgery faster and better, which is conducive to the recovery of patients as soon as possible and improve the quality of life

SIDE: Self-supervised Intermediate Domain Exploration for Source-free Domain Adaptation

Domain adaptation aims to alleviate the domain shift when transferring the knowledge learned from the source domain to the target domain. Due to privacy issues, source-free domain adaptation (SFDA), where source data is unavailable during adaptation, has recently become very demanding yet challenging. Existing SFDA methods focus on either self-supervised learning of target samples or reconstruction of virtual source data. The former overlooks the transferable knowledge in the source model, whilst the latter introduces even more uncertainty. To address the above issues, this paper proposes self-supervised intermediate domain exploration (SIDE) that effectively bridges the domain gap with an intermediate domain, where samples are cyclically filtered out in a self-supervised fashion. First, we propose cycle intermediate domain filtering (CIDF) to cyclically select intermediate samples with similar distributions over source and target domains. Second, with the aid of those intermediate samples, an inter-domain gap transition (IDGT) module is developed to mitigate possible distribution mismatches between the source and target data. Finally, we introduce cross-view consistency learning (CVCL) to maintain the intrinsic class discriminability whilst adapting the model to the target domain. Extensive experiments on three popular benchmarks, i.e. Office-31, Office-Home and VisDA-C, show that our proposed SIDE achieves competitive performance against state-of-the-art methods.Comment: code at https://github.com/se111/SID

Surgical outcome of hepatocellular carcinoma patients with biliary tumor thrombi

<p>Abstract</p> <p>Background</p> <p>To investigate the surgical outcome of hepatocellular carcinoma (HCC) patients with biliary tumor thrombi (BTT).</p> <p>Methods</p> <p>Surgical outcome of 27 HCC patients with BTT (group I) were compared with randomly selected HCC patients without BTT (group II; n = 270).</p> <p>Results</p> <p>One patient in group I died of hepatic failure within 30 days after resection. The 1-, 3- and 5-year cumulative survival rates of group I were 70.3%, 25.9%, and 7.4%, respectively; these were significantly lower than those of group II (90.6%, 54.0%, and 37.7%) (<it>P <</it>0.001). The rates of early recurrence (≤ 1 year) after resection were significantly higher in group I than group II (70.3% vs. 34.8%) (<it>P </it>< 0.001).</p> <p>Conclusion</p> <p>HCC patients with BTT had a worse prognosis after resection than those without BTT. Resection should be considered for these tumors given the lack of effective alternative therapies.</p

Explicit model predictive control on the air path of turbocharged diesel engines

The turbocharged diesel engine is a typical multi-input multi-output (MIMO) system with strong couplings, actuator constraints, and fast dynamics. This paper addresses the air path regulation in turbocharged diesel engines using an explicit model predictive control (EMPC) approach, which allows tracking of the time-varying setpoint values generated by the supervisory level controller while satisfying the actuator constraints. The proposed EMPC framework consists of calibration, engine model identification, controller formulation, and state observer design. The proposed EMPC approach has a low computation requirement and is suitable for implementation in the engine control unit (ECU) on board. The experimental results on a turbocharged Cat ® C6.6 diesel engine illustrate that the EMPC controller significantly improves the tracking performance of the exhaust emission variables against the decentralized single-input single-output (SISO) control method

Effect of Soybean Protein Isolate and Tea Polyphenol Stabilized High Interior Phase Pickering Emulsion Replacing Fat on Meatball Quality

In order to reduce the harm caused by high intake of saturated fat on human health. This study aimed to investigate the effect of high interphase Pickering emulsions (HIPEs) stabilized by soybean protein isolated and soybean oil, and tea polyphenols were used as functional ingredients to evaluate two different HIPEs as pork back fat (PBF) replacers in the meatballs. Six different formulations were prepared by the replacement of PBF with water, HIPEs and HIPEs loaded with tea polyphenols. Physical, chemical and sensory indexes of meatballs were assessed. Compared with the control group, there were significant differences in all indexes expect pH (P<0.05). Reduce-fat meatballs with HIPEs showed higher cooking rate (93.59%), content of moisture (66.91%) and protein (14.48%) and lower content of fat (8.42%). The hardness, elasticity, cohesiveness and chewability of meatballs increased with the addition of emulsion. After addition of HIPEs, the L* of meatballs was increased, and the a*, b* were increased due to the addition of tea polyphenols. The HIPEs loaded with tea polyphenols had the best improvement on the infiltrate on the moisture (1.57%) and fat (0.019%) of meatballs, the lowest TBA value was 4.12 mg/kg. The sensory evaluation was higher than the control group. Using HIPEs as a fat substitute could effectively reduce the fat content in meatballs and improve the yield and quality of meatballs. This study can provide some reference for the development of fat-reducing meat products

Effects of estradiol on fatty acid composition and tissue structure of hepatopancreas in <em>Procambarus clarkii</em>

The hepatopancreas of Procambarus clarkii provides lipids and other nutrients for ovarian development and contains hormones such as estradiol related to ovarian development. During the development of the P. clarkii ovary, the hepatopancreas' tissue structure and fatty acid content undergo corresponding changes. A controlled indoor experiment was conducted to investigate the effects of exogenous estradiol injection on the tissue structure and fatty acid content in the hepatopancreas of P. clarkii. The experiment consists of three experimental groups and one control group. The P. clarkii in the experimental group were injected with 5, 0.5, and 0.05 μg/(g body weight) of estradiol once every 5 days for 5 times and with normal saline injection as the control. After 25 days, the content of fatty acids and changes in tissue structure in the hepatopancreas were measured. The results showed that the main fatty acids in P. clarkii hepatopancreas were C18:4n, C20:3n, and EPA, and polyunsaturated fatty acid (PUFA) content was 57.17%±4.76%. Injecting estradiol mainly affected the content of C16:0, C16:1n, C18:0, C18:1n9, C18:2n, C18:3n6, C18:3n6, C18:4n, C20:1n, C20:2n, C20:3n, C20:4n3, C20:5n3, C22:n (n=1-4), C22:5n, and C22:6n in the hepatopancreas. Injecting estradiol significantly reduced the total content of PUFA in hepatopancreas with the reduction of C18:3n6, C18:4n, C20:3n, C20:4n3, C20:5n3 C22: n (n=1-4) (P<0.05); Estradiol injection significantly increased the total content of monounsaturated fatty acid (MUFA) in hepatopancreas with the increase of C18:1n9, and C20:1n (P<0.05); Injection of estradiol (0.05 μg/g) significantly increased the total content of saturated fatty acids (SFA) in the hepatopancreas (P<0.05) with the increase of C16:0 and C18:0 (P<0.05). Injecting estradiol can increase the volume and quantity of hepatopancreatic B cells, and the 5 μg/g group had the most obvious changes

Repeat hepatectomy for recurrent hepatocellular carcinoma: a local experience and a systematic review

Background: This study aimed to assess the efficacy and safety of repeat hepatectomy for recurrent hepatocellular carcinoma (HCC). Methods: Thirty-seven patients who underwent a curative repeat hepatectomy in our hospital were retrospectively studied. An extensive database literature search was performed to obtain for all relevant studies. Results: In our series, there were no perioperative deaths during repeat hepatectomy for recurrent HCC. Patients survival after repeat hepatectomy were similar to 429 patients undergoing initial hepatectomy. A computerized search of the Medline and PubMed databases found 29 retrospective studies providing relevant data in 1149 patients were included for appraisal and data extraction. After the repeat hepatectomy, postoperative morbidity ranged from 6.2% to 68.2% with a median per cohort of 23.5 per cent. There were 7 perioperative deaths (0.7 per cent of 993 for whom mortality data were provided). The overall median survival ranged from 21 to 61.5 months, with 1 -, 3 -, and 5-year survival of 69.0% to 100%, 21.0% to 87.0%, and 25.0% to 87.0%, respectively. Conclusions: Repeat hepatectomy can be performed safely and is associated with long-term survival in a subset of patients with recurrent HCC. However, the findings have to be carefully interpreted due to the lower level of evidence. A randomized controlled study is needed to compare repeat hepatectomy and other modalities for recurrent HCC

Research Progress on the Formation Mechanism of Protein/Essential Oil-based Composite Films and Application in Food Preservation

It has great significance to maintain the natural state of food and reduce the environmental pollution that use of bio-based packaging materials to research and development food packaging, because it has been unable to meet the demand of consumers for green, environmental protection and high-efficiency, for traditional food packaging. Edible films are attracting great attentions in food packaging due to their safety and zero waste property, among which, the protein often used in the preparation of edible films because of good mechanical properties and nutritional value. Essential oils extracted from aromatic plants, the broad-spectrum antibacterial and antioxidant properties give it great potential in food packaging. Incorporation of essential oils into edible protein-based films can effectively improve their properties, and cover the strong sensory properties of essential oils, meanwhile, the release rate of essential oils is controlled. This review covers the recent developments in protein/essential oils-based composite films, the formation mechanism of protein/essential oils-based composite films is discussed, the two composite methods of single essential oil and complex essential oil with protein-based composite films is introduced. Meanwhile, the application of protein/essential oils-based composite films in food is summarized. This study can provide some reference for the future development of protein/essential oils-based composite films