Random Number Sequence Research Articles

Combined effects of vitamin D supplementation and endurance exercise training on insulin resistance in newly diagnosed type 2 diabetes mellitus patients with vitamin D deficiency: study protocol for a randomized controlled trial

BackgroundAlthough approximately 50% of Chinese with type 2 diabetes mellitus (T2DM) patients have vitamin D deficiency, studies regarding vitamin D supplementation on insulin resistance (IR) have mainly focused on non-Asians. Endurance exercise training (ET) enhances insulin-mediated glucose metabolism, which plays a critical role in T2DM prevention and control. However, the combined effects of vitamin D supplementation and ET on IR in T2DM patients are unclear. The objectives of this study is to investigate the synergistic effect of vitamin D supplementation combined with exercise training intervention on IR in T2DM patients.Methods and analysisWe propose a 3-month randomized controlled trial among 60 T2DM patients aged 40–65, newly diagnosed with T2DM ≤ 1 year, and with stable HbA1c level (≤ 8.0%) in the past 3 months. The participants will be randomly allocated to the vitamin D group, vitamin D combined with exercise training group, exercise training group, and control group (CG) using a computer-generated random number sequence. At baseline, participants will undergo a medical review, anthropometric measurements, dual X-ray absorptiometry, a 75-g oral glucose tolerance test (OGTT), ankle-brachial index measurements, and physical fitness measurements and will complete related lifestyle questionnaires. Fasting blood lipid and glucose levels were also measured. In a 3-month intervention period, vitamin D intervention group will receive a dose of 1000 IU daily; exercise group will perform a 1-h endurance exercise 3 times per week (maximal heart rate, 60–80%), and the control group will receive apparently identical tablets. Additionally, all participants will be advised to maintain their normal diet and physical activities during the intervention. All measurements will be repeated at 3-month follow-up after the intervention with the primary outcome measure expressed as a change from baseline in insulin sensitivity and secretion. Secondary outcome measures will compare the changes in anthropometry, ankle-brachial index, and physical fitness factors (e.g., peak oxygen uptake, hand grip strength). Data will be managed and analyzed using the Statistical Package for the Social Sciences.DiscussionThis is the first study to conduct a randomized trial to clearly determine the independent and combined effects of vitamin D supplementation and endurance exercise trial on IR in Chinese T2DM patients as measured by OGTT. The findings from the proposed study will not only provide new evidences that vitamin D supplementation plays an important role in IR management but also develop a simple and efficient method to improve IR-associated metabolic diseases for T2DM patients.Trial registrationChinese Clinical Trial Registry ChiCTR1800015383, Registered on 28 March 2018

A cognitive fingerprint in human random number generation

Is the cognitive process of random number generation implemented via person-specific strategies corresponding to highly individual random generation behaviour? We examined random number sequences of 115 healthy participants and developed a method to quantify the similarity between two number sequences on the basis of Damerau and Levenshtein’s edit distance. “Same-author” and “different author” sequence pairs could be distinguished (96.5% AUC) based on 300 pseudo-random digits alone. We show that this phenomenon is driven by individual preference and inhibition of patterns and stays constant over a period of 1 week, forming a cognitive fingerprint.

A novel image encryption method for e-governance application using elliptic curve pseudo random number and chaotic random number sequence

A novel image encryption method for e-governance application using elliptic curve pseudo random number and chaotic random number sequence

Evaluation of the open-bite Bionator versus the removable posterior bite plane with a tongue crib in the early treatment of skeletal anterior open bite: A randomized controlled trial

Several treatment approaches can be found in the literature about early treatment of open bite. However, no studies have addressed the use of a removable posterior bite plane with a tongue crib (RPBP/C), compared with functional appliances, for treating open-bite cases. The objectives of this trial was to compare the effectiveness of the open-bite Bionator (OBB) and the RPBP/C as an early intervention to correct skeletal open-bite cases in children, in terms of limiting excessive vertical growth of the craniofacial skeletal components and normalizing the developement of the anterior dentoalveolar region. Two-arm, parallel-group randomized controlled trial was conducted. Forty patients with a skeletal anterior open bite (age range: 7.5-10.5 years) were treated at the University of xxxx School of Dentistry in xxxx, xxxx. They were distributed randomly into 2 equal groups: the OBB group (20 patients; mean age: 8.8 ± 1.5 years) and the RPBP/C group (20 patients; mean age: 8.6 ± 1.1 years). Randomization was based on a computer-generated sequence of random numbers. Primary outcome measures were the skeletal and dentoalveolar variables, whereas the secondary outcome measures were the soft-tissue parameters assessed on standardized lateral cephalograms collected before and after 12 months of treatment. Mann-Whitney U tests were used to detect significant differences between the 2 groups. Both the OBB and the RPBP/C appliances induced favorable dental effects. A statistically significant difference was found between the 2 groups in the overbite (P=0.003). Open bite in the OBB group showed a mean closure of 4.91 mm (SD 0.4 mm), and a mean closure of 3.43 mm (SD 0.3 mm) was observed in the RPBP/C group. Dentoalveolar changes at the anterior region were evident, with statistically significant extrusion, and lingual tipping of the maxillary and mandibular incisors (P ≤ 0.05). The results showed no significant differences in the skeletal changes between the 2 groups. The OBB and the upper posterior bite plane with crib were both effective in the early treatment of the skeletal anterior open bite. However, closure of the anterior open bite was mainly due to the dentoalveolar changes at the anterior region of the dental arches.

Quantum generators of random numbers

Generation of random numbers is a central problem for many applications in the field of information processing, including, e.g., cryptography, in classical and quantum regime, but also mathematical modeling, Monte Carlo methods, gambling and many others. Both, the quality of the randomness and efficiency of the random numbers generation process are crucial for the most of these applications. Software produced pseudorandom bit sequences, though sufficiently quick, do not fulfill required randomness quality demands. Hence, the physical hardware methods are intensively developed to generate truly random number sequences for information processing and electronic security application. In the present paper we discuss the idea of the quantum random number generators. We also present a variety of tests utilized to assess the quality of randomness of generated bit sequences. In the experimental part we apply such tests to assess and compare two quantum random number generators, PQ4000KSI (of company ComScire US) and JUR01 (constructed in Wroclaw University of Science and Technology upon the project of The National Center for Research and Development) as well as a pseudorandom generator from the Mathematica Wolfram package. Finally, we present our new prototype of fully operative miniaturized quantum random generator JUR02 producing a random bit sequence with velocity of 1 Mb/s, which successfully passed standard tests of randomness quality (like NIST and Dieharder tests). We also shortly discuss our former concept of an entanglement-based quantum random number generator protocol with unconditionally secure public randomness verification.

Inverse Problem for Ising Connection Matrix with Long-Range Interaction

In the present paper, we examine Ising systems on d-dimensional hypercube lattices and solve an inverse problem where we have to determine interaction constants of an Ising connection matrix when we know a spectrum of its eigenvalues. In addition, we define restrictions allowing a random number sequence to be a connection matrix spectrum. We use the previously obtained analytical expressions for the eigenvalues of Ising connection matrices accounting for an arbitrary long-range interaction and supposing periodic boundary conditions.

Testing a hardware random number generator using NIST statistical test suite

Random number generators are required for the operation of cryptographic information protection systems. For а correct application of the generator in the field of information security, it is necessary that its output sequence to be indistinguishable from a uniformly distributed random sequence. To verify this, it is necessary to test the generator output sequence using various statistical test suites such as Dihard and NIST. The purpose of this work is to test a prototype hardware random number generator. The generator is built on the basis of the ND103L noise diode and has a random digital sequence of binary numbers at the output. In the prototype there is a possibility of regulating the amount of reverse current through the noise diode, as well as setting the data acquisition period, i.e. data generation frequency. In the course of operation, a number of sequences of random numbers were removed from the generator at various values of the reverse current through the noise diode, the period of data acquisition and the ambient temperature. The resulting sequences were tested using the NIST statistical test suite. After analyzing the test results, it was concluded that the generator operates relatively stably in a certain range of initial parameters, while the deterioration in the quality of the generator's operation outside this range is associated with the technical characteristics of the noise diode. It was also concluded that the generator under study is applicable in certain applications and to improve the stability of its operation, it can be improved both in hardware and software. The results of this work can be useful to developers of hardware random number generators built according to a similar scheme.

A novel audio encryption method using Henon–Tent chaotic pseudo random number sequence

A novel audio encryption method using Henon–Tent chaotic pseudo random number sequence

Recommendations on Statistical Randomness Test Batteries for Cryptographic Purposes

Security in different applications is closely related to the goodness of the sequences generated for such purposes. Not only in Cryptography but also in other areas, it is necessary to obtain long sequences of random numbers or that, at least, behave as such. To decide whether the generator used produces sequences that are random, unpredictable and independent, statistical checks are needed. Different batteries of hypothesis tests have been proposed for this purpose.In this work, a survey of the main test batteries is presented, indicating their pros and cons, giving some guidelines for their use and presenting some practical examples.

Hydrodynamic limit of the Robinson–Schensted–Knuth algorithm

AbstractWe investigate the evolution in time of the position of a fixed number in the insertion tableau when the Robinson–Schensted–Knuth algorithm is applied to a sequence of random numbers. When the length of the sequence tends to infinity, a typical trajectory after scaling converges uniformly in probability to some deterministic curve.

RandseqR: An R Package for Describing Performance on the Random Number Generation Task.

The Random Number Generation (RNG) task has a long history in neuropsychology as an assessment procedure for executive functioning. In recent years, understanding of human (executive) behavior has gradually changed from reflecting a static to a dynamic process and this shift in thinking about behavior gives a new angle to interpret test results. However, this shift also asks for different methods to process random number sequences. The RNG task is suited for applying non-linear methods needed to uncover the underlying dynamics of random number generation. In the current article we present RandseqR: an R-package that combines the calculation of classic randomization measures and Recurrence Quantification Analysis. RandseqR is an easy to use, flexible and fast way to process random number sequences and readies the RNG task for current scientific and clinical use.

Feasibility randomised controlled trial comparing TRAK-ACL digital rehabilitation intervention plus treatment as usual versus treatment as usual for patients following anterior cruciate ligament reconstruction

ObjectivesTo evaluate the feasibility of trialling taxonomy for the rehabilitation of knee conditions—ACL (TRAK-ACL), a digital health intervention that provides health information, personalised exercise plans and remote clinical support combined...

The New Scramble for Faure Sequence Based on Irrational Numbers

This article intends to review quasirandom sequences, especially the Faure sequence to introduce a new version of scrambled of this sequence based on irrational numbers, as follows to prove the success of this version of the random number sequence generator and use it in future calculations. We introduce this scramble of the Faure sequence and show the performance of this sequence in employed numerical codes to obtain successful test integrals. Here, we define a scrambling matrix so that its elements are irrational numbers. In addition, a new form of radical inverse function has been defined, which by combining it with our new matrix, we will have a sequence that not only has a better close uniform distribution than the previous sequences but also is a more accurate and efficient tool in estimating test integrals.

VLSI Architecture for Designing a True Random Number Generator with Modified Parallel Run Length Encoding

The secured communication is a means to provide privacy and security for the data being transmitted. The cryptographic system has thus become a vital and inevitable platform for achieving data security in our day to day life ranging from the generation of one time passwords, session keys, signature parameters, ephemeral keys. The encryption level is entirely dependent on the unpredictability of the digital bit streams. The paper focuses on generating true random number sequences using hardware, so as to safeguard the encryption keys patterns for digital communications. These sequences are generated using purely digital components supported by an efficient VLSI architecture. The implementation of the proposed model is done using Mojo-V3, supported by Xilinx ISE software platform. The generated random sequences will further undergo some post processing operations, viz; Von-Neumann correction (VNC) and Parallel Run Length Encoding (PRLE), to eliminate the bias in bit stream and also to compensate the high power dissipation respectively.

An improved Gaussian distribution based quantum-behaved particle swarm optimization algorithm for engineering shape design problems

In this article, an improved Gaussian distribution based quantum-behaved particle swarm optimization (IG-QPSO) algorithm is proposed to solve engineering shape design problems with multiple constraints. In this algorithm, the Gaussian distribution is employed to generate the sequence of random numbers in the QPSO algorithm. By decreasing the variance of the Gaussian distribution linearly, the algorithm is able not only to maintain its global search ability during the early search stages, but can also obtain gradually enhanced local search ability in the later search stages. Additionally, a weighted mean best position in the IG-QPSO is employed to achieve a good balance between local search and global search. The proposed algorithm and some other well-known PSO variants are tested on ten standard benchmark functions and six well-studied engineering shape design problems. Experimental results show that the IG-QPSO algorithm can optimize these problems effectively in terms of precision and robustness compared to its competitors.

Efficacy of Active vs Sham Intermittent Theta Burst Transcranial Magnetic Stimulation for Patients With Bipolar Depression

Major depressive episodes in bipolar disorder are common and debilitating. Repetitive transcranial magnetic stimulation is well established in the treatment of major depressive disorder, and the intermittent theta burst stimulation (iTBS) protocol is replacing conventional protocols because of noninferiority and reduced delivery time. However, iTBS has not been adequately studied in bipolar disorder and, therefore, its efficacy is uncertain. To determine whether iTBS to the left dorsolateral prefrontal cortex (LDLPFC) is safe and efficacious in the treatment of acute bipolar depression. This study was a double-blind, 4-week, randomized clinical trial of iTBS targeting the LDLPFC. Two Canadian academic centers recruited patients between 2016 and 2020. Adults with bipolar disorder type I or type II experiencing an acute major depressive episode were eligible if they had not benefited from a first-line treatment for acute bipolar depression recommended by the Canadian Network for Mood and Anxiety Treatments and were currently treated with a mood stabilizer, an atypical antipsychotic, or their combination. Seventy-one participants were assessed for eligibility, and 37 were randomized to daily sham iTBS or active iTBS using a random number sequence, stratified according to current pharmacotherapy. Data analysis was performed from April to September 2020. Four weeks of daily active iTBS (120% resting motor threshold) or sham iTBS to the LDLPFC. Nonresponders were eligible for 4 weeks of open-label iTBS. The primary outcome was the change in score on the Montgomery-Asberg Depression Rating Scale from baseline to study end. Secondary outcomes included clinical response, remission, and treatment-emergent mania or hypomania. The trial was terminated for futility after 37 participants (23 women [62%]; mean [SD] age, 43.86 [13.87] years; age range, 20-68 years) were randomized, 19 to sham iTBS and 18 to active iTBS. There were no significant differences in Montgomery-Asberg Depression Rating Scale score changes (least squares mean difference between groups, -1.36 [95% CI, -8.92 to 6.19; P = .91] in favor of sham iTBS), and rates of clinical response were low in both the double-blind phase (3 of 19 participants [15.8%] in the sham iTBS group and 3 of 18 participants [16.7%] in the active iTBS group) and open-label phase (5 of 21 participants [23.8%]). One active iTBS participant had a treatment emergent hypomania, and a second episode occurred during open-label treatment. iTBS targeting the LDLPFC is not efficacious in the treatment of acute bipolar depression in patients receiving antimanic or mood stabilizing agents. Additional research is required to understand how transcranial magnetic stimulation treatment protocols differ in efficacy between unipolar and bipolar depression. ClinicalTrials.gov Identifier: NCT02749006.

DATA ENCRYPTION USING XOR CIPHER

This article offers an example of using an application whose main task is to encrypt data such as files and private messages. Data encryption is performed using an encryption algorithm - xor. The XOR cipher is a data encryption algorithm using exclusive disjunction. Acquired widespread use in computer networks in the 90's due to the ease of implementation. Used to encrypt Microsoft Word documents in Windows. The XOR encryption algorithm is to "overlay" a sequence of random numbers on the text to be encrypted. A sequence of random numbers is called a gamma sequence, and is used to encrypt and decrypt data. If you use a key with a length at least equal to the length of the message, the XOR cipher becomes much more crypto-resistant than when using a duplicate key. For cryptological protection of information of the travel company Rest & Travel, EDcrypt software has been created, which performs the following functions: account login; inability to use the system without logging in to the account; notification of entering incorrect user data; message encryption; decryption of messages; the ability to select the recipient of the message; encryption of text files; decryption of text files; sending text files to selected recipients; three interface languages: English, Russian, Ukrainian

Experimental Realization of Device-Independent Quantum Randomness Expansion

Randomness expansion where one generates a longer sequence of random numbers from a short one is viable in quantum mechanics but not allowed classically. Device-independent quantum randomness expansion provides a randomness resource of the highest security level. Here, we report the first experimental realization of device-independent quantum randomness expansion secure against quantum side information established through quantum probability estimation. We generate 5.47×10^{8} quantum-proof random bits while consuming 4.39×10^{8} bits of entropy, expanding our store of randomness by 1.08×10^{8} bits at a latency of about 13.1h, with a total soundness error 4.6×10^{-10}. Device-independent quantum randomness expansion not only enriches our understanding of randomness but also sets a solid base to bring quantum-certifiable random bits into realistic applications.

Comparison of aerosol box intubation with C-MAC video laryngoscope and direct laryngoscopy-A randomised controlled trial.

Background and Aims:Severe acute respiratory syndrome corona virus 2 (SARS-CoV-2) is a highly infectious disease and healthcare workers are at constant risk for contracting it. Nowadays, aerosol box is used in conjunction with WHO-recommended safety kits, to avoid health workers from getting SARS-CoV-2 infection during aerosol-generating procedures. In our study, we compared the ease of oral intubation with C-MAC video laryngoscope and direct laryngoscopy, when the aerosol box was used. The secondary objectives were to compare the incidence of airway loss, haemodynamic changes, number of attempts, and time required for intubation between these two techniques.Methods:This prospective randomised controlled study was conducted on 60 non-coronavirus disease (COVID) patients presenting for elective surgery under general anaesthesia. Patients were randomly assigned into two groups:C and D using a computer-generated random sequence of numbers by closed envelope technique. In group D, laryngoscopy was performed with Macintosh blade and in group C, with Storz® C-MAC video laryngoscope.Results:The ease of intubation was better (grade 1) in group C than D (68.6% vs. 31.4% respectively) with a P value of < 0.001. 10% of patients required more than one intubation attempt in group D compared to none in group C, but this difference was not statistically significant. The intubation time was comparable between the two groups. There were no incidences of loss of airway or failure to intubate in both groups.Conclusion:The use of C-MAC video-laryngoscopy resulted in easier orotracheal intubation as compared to intubation with direct laryngoscopy when the aerosol box was used.

HIV clinic-based buprenorphine plus naloxone versus referral for methadone maintenance therapy for treatment of opioid use disorder in HIV clinics in Vietnam (BRAVO): an open-label, randomised, non-inferiority trial

UNAIDS recommends integrating methadone or buprenorphine treatment of opioid use disorder with HIV care to improve HIV outcomes, but buprenorphine adoption remains limited in many countries. We aimed to assess whether HIV clinic-based buprenorphine plus naloxone treatment for opioid use disorder was non-inferior to referral for methadone maintenance therapy in achieving HIV viral suppression in Vietnam. In an open-label, non-inferiority trial (BRAVO), we randomly assigned people with HIV and opioid use disorder (1:1) by computer-generated random number sequence, in blocks of ten and stratified by site, to receive HIV clinic-based buprenorphine plus naloxone treatment or referral for methadone maintenance therapy in six HIV clinics in Vietnam. The primary outcome was HIV viral suppression at 12 months (HIV-1 RNA ≤200 copies per mL on PCR) by intention to treat (absolute risk difference [RD] margin ≤13%), compared by use of generalised estimating equations. Research staff actively queried treatment-emergent adverse events during quarterly study visits and passively collected adverse events reported during HIV clinic visits. This study is registered with ClinicalTrials.gov, NCT01936857, and is completed. Between July 27, 2015, and Feb 12, 2018, we enrolled 281 patients. At baseline, 272 (97%) participants were male, mean age was 38·3 years (SD 6·1), and mean CD4 count was 405 cells per μL (SD 224). Viral suppression improved between baseline and 12 months for both HIV clinic-based buprenorphine plus naloxone (from 97 [69%] of 140 patients to 74 [81%] of 91 patients) and referral for methadone maintenance therapy (from 92 [66%] of 140 to 99 [93%] of 107). Buprenorphine plus naloxone did not demonstrate non-inferiority to methadone maintenance therapy in achieving viral suppression at 12 months (RD -0·11, 95% CI -0·20 to -0·02). Retention on medication at 12 months was lower for buprenorphine plus naloxone than for methadone maintenance therapy (40% vs 65%; RD -0·53, 95% CI -0·75 to -0·31). Participants assigned to buprenorphine plus naloxone more frequently experienced serious adverse events (ten [7%] of 141 vs four of 140 [3%] assigned to methadone maintenance therapy) and deaths (seven of 141 [5%] vs three of 141 [2%]). Serious adverse events and deaths typically occurred in people no longer taking ART or opioid use disorder medications. Although integrated buprenorphine and HIV care may potentially increase access to treatment for opioid use disorder, scale-up in middle-income countries might require enhanced support for buprenorphine adherence to improve HIV viral suppression. The strength of our study as a multisite randomised trial was offset by low retention of patients on buprenorphine. National Institute on Drug Abuse (US National Institutes of Health).