Classical Formulation Research Articles

A novel tube law analysis under anisotropic external load

Mathematical and physical modeling of flows in collapsible pipes often relates the flow area to the difference between the internal and the external pressures (i.e. the transmural pressure). The relation is used to model the conduits of the human body transporting biological fluids, is called tube law and usually considers the transmural pressure resulting from isotropic external pressure only. We provide a new empirical tube law considering anisotropic conditions of the external load; our formulation is based on the hypothesis, supported by clinical and experimental findings, that in physiological conditions both isotropic and anisotropic stresses are combined in the external load acting on vessels. The proposed mathematical model was validated through laboratory experiments reproducing the flow through a collapsible tube representing the physiological conditions of male urethra during micturition. The proposed tube law better agrees with the experimental observations, in comparison to classic formulations available in literature, thus showing that the proposed model better describes the physiological condition of flow in collapsible tubes subjected to anisotropic external load. The application of our model can be readily extended to several types of vessels.

Spot the bot: the inverse problems of NLP

This article concerns the problem of distinguishing human-written and bot-generated texts. In contrast to the classical problem formulation, in which the focus falls on one type of bot only, we consider the problem of distinguishing texts written by any person from those generated by any bot; this involves analysing the large-scale, coarse-grained structure of the language semantic space. To construct the training and test datasets, we propose to separate not the texts of bots, but bots themselves, so the test sample contains the texts of those bots (and people) that were not in the training sample. We aim to find efficient and versatile features, rather than a complex classification model architecture that only deals with a particular type of bots. In the study we derive features for human-written and bot generated texts, using clustering (Wishart and K-Means, as well as fuzzy variations) and nonlinear dynamic techniques (entropy-complexity measures). We then deliberately use the simplest of classifiers (support vector machine, decision tree, random forest) and the derived characteristics to identify whether the text is human-written or not. The large-scale simulation shows good classification results (a classification quality of over 96%), although varying for languages of different language families.

ON THE NATURE OF AND SOME CHALLENGES TO PARLIAMENTARY SOVEREIGNTY: A JURISPRUDENTIAL PERSPECTIVE

The article ultimately claims that the classical formulation of parliamentary sovereignty, properly understood, survives the most contemporary and relevant challenges it faces. The first part is reserved for the examination of the content and the source of the principle. The Diceyan conception of the principle is elaborated and defended against Wade’s version. Then, based on the Allan – Goldsworthy argument, the article determines that it is theoretically more appropriate to conceive of the principle as the rule of recognition. The second part focuses on the most contemporary and relevant challenges to the principle. These are the Parliament Acts 1911 and 1949, the European Communities Act 1972, and the Human Rights Act 1998. The challenge posed by the Parliament Acts fails because the Acts do not legally restrict the Parliament. Similarly, based on the distinction between normative hierarchy and the primacy of application, the European Communities Act needs to be conceived of as relating to the obligations of the law-applying officials and not the Parliament. Lastly, the four challenges raised by the Human Rights Act fail based on discussions surrounding the doctrine of implied repeal, the concept of normative collision, and the distinction between constitutional and ordinary statutes.

A genetic algorithm-based solution for multi-type maximal covering location problem (MMCLP): application to defense and deterrence

PurposeWe study the problem of finding optimal locations for a suite of defense assets in order to protect high-value tactical and strategic infrastructure across a vast geographical area. To this end, we present a multi-type with non-overlapping coverage requirement as an extension to the classical formulation for the maximal covering location problem (MCLP).Design/methodology/approachIn our case study, we use open source geographic and demographic data from Canadian sources as inputs to our optimization problem. Due to the complexity of the MIP formulation, we propose a hybrid metaheuristic solution approach, for which a genetic algorithm (GA) is proposed and integrated with local and large neighborhood search operators.FindingsExtensive numerical experiments over different instances of the proposed problem indicate the effectiveness of the GA-based solution in reducing the solution time by a factor of ten compared to the CPLEX commercial solver while both approaches obtain solutions of similar quality.Research limitations/implicationsThis research is limited to location planning of defense assets leveraging geospatial data of Canada. However, the diverse Canadian geography is among the most challenging given broad variability in population density and the vast size of the country leading to a large search space having substantial variability in fitness performance.Practical implicationsOur findings demonstrate that for large-scale location searches, the GA with a local neighborhood search performs very well in comparison to CPLEX but at a fraction of the execution time.Originality/valueOur findings provide insight into how to make improved decisions for the placement of deterrence and defense systems and the effectiveness of a hybrid metaheuristic in addressing associated computational challenges.

An Insight Review on Phytochemistry, Pharmacological Evidences, and Biosynthesis of Key Metabolites of Indian Himalayan Cherry (Prunus cerasoides Don.) with Emphasis on its Safety and Use in Tradtional Phytomedicine

AbstractPadmaka (Prunus cerasoides Don.), or wild Himalayan cherry, is a deciduous tree from the Rosaceaae family. The Prunus genus has 400–430 species, including shrubs and trees. It is widely distributed across the Himalayan region of India, China, Myanmar, Nepal, and Thailand. It is used in many classical formulations of various Asian traditional medicinal systems viz., Ayurveda, TCM (traditional Chineese Medicines) and TTM (Traditional Thai Medicines) for treating burning sensations, Blisters, blood disorders, dizziness, bleeding disorders, herps, and skin disorders. The present review covers the research updates on P. cerasoides from 1982 to 2023, accessible on scholars’ platforms and databases. More than 200 phytomolecules have been investigated for their biological potential and the discovery of pharmacophores‐inspired drugs. Padmaka instigated over fifty diverse phytochemicals, viz. flavones, isoflavones, chalcones, terpenoids, glycosides, and sterols. The phytochemical flux of P. cerasoides is dominant with phenylpropanoids, anthocyanins, carotenoids, and terpenoids. Several experimental shreds of evidence emphasized the biological significance of P. cerasoides extracts and their derived phytochemicals. Medicinal significance and its safety in clinical validation have been discussed efficiently. Moreover, the barrier in validated therapeutics is a lack of information on the bioavailability of specialized bioactive, standardization, safety, and toxicokinetic. This review also provides insight into discussions on the key specialized secondary metabolism in P. cerasoides responsible for pharmacological/therapeutic action.

An approach to solving the problem of equipment replacement using periodic fuzzy graphs

Monitoring equipment wear is an important problem that requires constant attention, since this process can lead to a decrease in its efficiency, accidents or breakdown. The problem of replacing equipment is a production problem, in which it is necessary to consider many factors that influence the efficiency of the enterprise itself. This paper examines various formulations of the equipment replacement problem: in the classical formulation of dynamic programming, in the stochastic formulation and fuzzy graph representation. The idea to solve the problem using periodic fuzzy graphs is proposed. We also consider the age of equipment when determining the wear coefficient, determined by the degree of belonging to a particular class of parameters defined in the formulation of the problem. Periodic fuzzy graphs allow considering the problem of replacing equipment not for one type of equipment, but for a complex of machines, which ensures the scalability of the classical dynamic programming problem under uncertain initial data. When determining the membership function, it is possible to consider those factors that may influence the solution of the optimization production problem. Setting the problem in a fuzzy form makes it possible to forecast and plan the activities of an enterprise for future periods.

Framing Effects in Intertemporal Choices: 3 Two‐Step Experiments

ABSTRACTFramings may affect individuals' choices. In particular, the perception of (implicit) risks and their costs may influence intertemporal choices. In a between‐subjects experimental design, participants are presented choices either in a standard (i.e., current vs. future payoffs), penalty (i.e., the same as before, presenting the differences between present and future amounts as losses), future‐improved (i.e., increasing by 35% the future payoff with respect to the standard frame) or penalty present‐improved way (i.e., with small differences between present and future amounts). Undergraduate students participated in 3 two‐step experiments. The results show that the negative and the present‐improved frames render the participants more patient and subjects who are trained to be more farsighted using a penalty decision problem continue to be patient in subsequent classical formulations where that specific attribute is no longer present.

Pharmacognostical Study and Analytical Standardization of <i>Bhringaraja Taila</i>: An <i>Ayurvedic</i> Oleaginous Medicine

Background: Bhringaraja Taila is an Ayurvedic classical formulation. The formulation is indicated as keshaya. The present study is structured around validating the fact of preparing the formulation with and without the addition of mineral (Gairika). Aim: The objectives of this study were to prepare and analyze Bhringaraja Taila. Method: After performing the murchanna samsakara, a specified amount of Drava, Kalka and Sneha dravyas were taken and subjected to moderate heating till the watery portion evaporated Bhringraja Taila prepared with and without Gairika. Results: The refractive index of Bhringraja Taila with and without the addition of Gairika was found to be decreased in both samples. The specific gravity and saponification values of both samples were found to be within the limit but slightly increased in the sample prepared with the addition of Gairika. The iodine value of both samples was found to be less than the limit. A decreased iodine value signifies less tendency toward rancidity. The acid value of both samples was found to be within the limit but more in the sample prepared with the addition of Gairika. The peroxide value of the sample prepared with the addition of Gairika was higher than the sample prepared without Gairika. Higher peroxide value indication of rancidity. The pH of the sample prepared with the addition of Gairika was found to be acidic and the sample prepared without the addition of Gairika was found to be basic. Conclusion: Thus considering the above fact it can be concluded that the formulation was prepared without mineral (Gairika) can be more stable but the therapeutic efficacy between the two formulation cannot be confirmed until and unless there is clinical validation.

A Critical Review on Khadiradi Vati - An Ayurvedic Formulation

Ayurvedic medicine makes extensive use of herbal and herbo-mineral preparation. Because of its revitalizing qualities, long shelf life, and increased potency even at low doses, Rasaoushadis are significant in Ayurvedic medicine. One such classical multi-ingredient herbo mineral Ayurvedic formulation is Khadiradi Vati. Khadiradi Vati is a traditional Ayurvedic propriety medicine comprising of various plant and mineral based ingredients including Khadira, Javithri, Kankola, Gairika and etc. this herbo mineral preparation is used to treat various oral and skin disorders. It balances Vata, Pitta, Kapha and helps in alleviation of sore throat, reduces hoarseness and increases clarity in voice. It has described in various classical texts and can be used in Kasa, Swasa, Aruchi, Galaroga, Talu Roga, Kanta Roga, Mukha Roga, Kushta, Arsas, Bhagandara. Due to the presence of flavonoids, phytosterols, alkaloids, it acts as anti-inflammatory, anti-oxidant is used in treating tonsilitis, gingivitis, mouth ulcers and etc.

An Integrated Approach to Identify the Q-Markers of Banxia-Houpo Decoction Based on Nontargeted Multicomponent Profiling, Network Pharmacology, and Chemometrics.

The inherent complexity of traditional Chinese medicine (TCM) poses significant challenges in directly correlating quality evaluation with clinical efficacy. Banxia-Houpo Decoction (BHD), a classical TCM formula, has demonstrated efficacy in treating globus hystericus. However, the intricate composition of BHD, which contains both volatile and non-volatile active components, complicates efforts to ensure its consistent quality and clinical effectiveness. The aim of this study was to introduce an integrated approach that combines non-targeted multicomponent analysis, network pharmacology, and multivariate chemometrics to identify quality markers for the effective quality control of BHD. First, a nontargeted high-definition MSE method based on ultraperformance liquid chromatography-quadrupole time-of-flight-mass spectrometry (UHPLC-QTOF-MS) was developed for the comprehensive multi-component characterization of BHD. Next, the quality markers of nonvolatile compounds in BHD were identified through network pharmacology analysis. Subsequently, volatile organic compounds (VOCs) in BHD samples were analyzed via headspace solid-phase microextraction-gas chromatography-mass spectrometry (HS-SPME-GC-MS) and headspace gas chromatography-ion mobility spectrometry (HS-GC-IMS). Finally, the orthogonal partial least squares discriminant analysis (OPLS-DA) model was applied to screen for potential markers. Based on in-house library-driven automated peak annotation and comparison with 25 reference compounds, 128 components were identified for the first time. Additionally, honokiol, magnolol, magnoflorine, 6-gingerol, rosmarinic acid, and adenosine were preliminarily identified as potential quality markers for BHD through network pharmacology analysis. By employing two complementary techniques, HS-SPME-GC-MS and HS-GC-IMS, a total of 145 volatile compounds was identified in the BHD samples. Four potential differential VOCs in the BHD samples were further identified based on the variable importance in projection (VIP ≥ 1.5) using HS-GC-IMS combined with chemometric analysis. In conclusion, this study not only contributes to establishing quality standards for BHD but also offers new insights into quality assessment and identification in the development of classical formulations enriched with volatile components.

Buoyancy Modes in a Low Entropy Bubble

AbstractIn the nightside region of Earth's magnetosphere, braking oscillations or buoyancy modes have been associated with the occurrence of low entropy bubbles. These bubbles form in the plasma sheet, particularly during geomagnetically disturbed times, and because of interchange, move rapidly earthward and may eventually come to rest in the inner plasma sheet or inner magnetosphere. Upon arrival, they often exhibit damped oscillations with periods of a few minutes and are associated with Pi2 pulsations. Previously we used the thin filament approximation to compare the frequencies and modes of buoyancy waves using magnetohydrodynamic (MHD) ballooning and classic interchange theory. Interchange oscillations differ from the more general MHD oscillations by assuming constant pressure along a magnetic field line. It was determined that MHD ballooning and interchange modes are similar for plasma sheet field lines but differ for field lines that map to the inner magnetosphere. This suggested that the classic interchange formulation was only valid in the plasma sheet. This paper tests the hypothesis that the agreement between MHD ballooning and classic interchange could be restored inside a bubble. We create a small region of entropy depletion in the magnetotail and compare the buoyancy mode properties. At some locations inside the bubble, the MHD ballooning buoyancy modes resemble interchange modes but with lower frequencies than those of the unperturbed background. Unstable modes are found on the earthward edge of the bubble, while at the tailward edge, MHD ballooning predicts a slow mode wave solution not seen in the pure interchange solution.

Integrative multi-omics and network pharmacology reveal the mechanisms of Fangji Huangqi Decoction in treating IgA nephropathy

Ethnopharmacological relevanceFangji Huangqi Decoction (FJHQD), a classical Chinese herbal formulation, has demonstrated significant clinical efficacy in the treatment of IgA nephropathy (IgAN), although its mechanisms remain poorly understood. Aim of the studyThis study aims to investigate the renal protective mechanisms of FJHQD using an integrated approach that combines transcriptomics, proteomics, and network pharmacology. MethodsRenal glomerular structure changes were assessed via hematoxylin and eosin (H&E) and Masson staining. IgA expression in the glomeruli was quantified using immunofluorescence. Furthermore, the potential mechanisms underlying the effects of FJHQD were explored through a combined strategy of network pharmacology, transcriptomics, and proteomics. The expression of signaling pathway-related proteins was detected using Western blot. ResultsFJHQD inhibited mesangial cell proliferation and renal interstitial fibrosis, and significantly reduced excessive IgA deposition in the glomerular mesangium. Network pharmacology identified 113 important active components and 8 common active components in FJHQD, with quercetin, isorhamnetin, jaranol, and kaempferol having the highest number of target interactions. Integration of network pharmacology with multi-omics approaches revealed that 44 active components regulated numerous immune and inflammatory signaling pathways through 17 hub targets. These pathways include the Calcium signaling pathway, cAMP signaling pathway, Ras signaling pathway, MAPK signaling pathway, and PI3K-AKT signaling pathway. Subsequent in vivo experiments demonstrated that FJHQD effectively regulates the identified pathways in IgAN mice. Ultimately, molecular docking results further validated the reliability of the network pharmacology combined with multi-omics analyses. ConclusionThe findings suggest that FJHQD exerts a renal protective effect, potentially through modulation of the Calcium signaling pathway, cAMP signaling pathway, Ras signaling pathway, MAPK signaling pathway, and PI3K-AKT signaling pathway. These insights offer valuable support for the clinical use of FJHQD and open new avenues for exploring the active compounds and molecular mechanisms of Traditional Chinese Medicines (TCMs).

Solving a real-world package delivery routing problem using quantum annealers.

Research focused on the conjunction between quantum computing and routing problems has been very prolific in recent years. Most of the works revolve around classical problems such as the Traveling Salesman Problem or the Vehicle Routing Problem. The real-world applicability of these problems is dependent on the objectives and constraints considered. Anyway, it is undeniable that it is often difficult to translate complex requirements into these classical formulations. The main objective of this research is to present a solving scheme for dealing with realistic instances while maintaining all the characteristics and restrictions of the original real-world problem. Thus, a quantum-classical strategy has been developed, coined Q4RPD, that considers a set of real constraints such as a heterogeneous fleet of vehicles, priority deliveries, and capacities characterized by two values: weight and dimensions of the packages. Q4RPD resorts to the Leap Constrained Quadratic Model Hybrid Solver of D-Wave. To demonstrate the application of Q4RPD, an experimentation composed of six different instances has been conducted, aiming to serve as illustrative examples.

Anti-arthritic activity of Trayodashang guggulu, a classical Ayurvedic formulation against complete Freund’s adjuvant-induced rheumatoid arthritis in rats

BackgroundRheumatoid arthritis is a chronic autoimmune disease affecting millions of people across the world. Trayodashang guggulu (TG) is a classical Ayurvedic formulation used for the treating joint diseases since decades in the Indian system of traditional medicine. The aim of the study was to evaluate anti-arthritic activity of TG against complete Freund’s adjuvant-induced arthritis in Wistar rats.MethodsArthritis was induced by single injection of 0.1 ml complete Freund’s adjuvant into the intraplanter surface of left hind paw of Wistar rats. TG was administered orally at the doses of 100, 200, 400 and 800 mg/kg body weight for 14 days. In the preventive dose group, TG was administered at the dose of 100 mg/kg body weight, orally for 28 days. Paw swelling, joint circumference, serum rheumatoid factor, C-reactive protein, serum IL-1β, TNF-α and histopathological parameters were assessed for the evaluation of arthritis. Effects of TG were compared with standard allopathic drug ibuprofen.ResultsTG reversed complete Freund’s adjuvant-induced arthritis in rats when used for 14 and 28 days. Serum rheumatoid factor, C-reactive protein, IL-1β and TNF-α were decreased in rats treated with both standard drug ibuprofen and TG.ConclusionOral administration of TG reduced experimentally induced rheumatoid arthritis in rats by reversing elevated level of serum biochemical markers as well as reducing joint destruction similar to ibuprofen. Results obtained from the study paved the way in exploring more specific mechanisms of action of TG involving in vitro and in silico models.

Dopamine release plateau and outcome signals in dorsal striatum contrast with classic reinforcement learning formulations

We recorded dopamine release signals in centromedial and centrolateral sectors of the striatum as mice learned consecutive versions of visual cue-outcome conditioning tasks. Dopamine release responses differed for the centromedial and centrolateral sites. In neither sector could these be accounted for by classic reinforcement learning alone as classically applied to the activity of nigral dopamine-containing neurons. Medially, cue responses ranged from initial sharp peaks to modulated plateau responses; outcome (reward) responses during cue conditioning were minimal or, initially, negative. At centrolateral sites, by contrast, strong, transient dopamine release responses occurred at both cue and outcome. Prolonged, plateau release responses to cues emerged in both regions when discriminative behavioral responses became required. At most sites, we found no evidence for a transition from outcome signaling to cue signaling, a hallmark of temporal difference reinforcement learning as applied to midbrain dopaminergic neuronal activity. These findings delineate a reshaping of striatal dopamine release activity during learning and suggest that current views of reward prediction error encoding need review to accommodate distinct learning-related spatial and temporal patterns of striatal dopamine release in the dorsal striatum.

A dissection of the monotonicity property of binary operations from a dominance point of view

In this paper, we expound weaker forms of increasingness of binary operations on a lattice by reducing the number of variables involved in the classical formulation of the increasingness property as seen from the viewpoint of dominance between binary operations. We investigate the relationships among these weaker forms. Furthermore, we demonstrate the role of these weaker forms in characterizing the meet and join operations of a lattice and a chain in particular. Finally, we provide ample generic examples.

Quantum geometric approach: Nature and characteristics of emerged quantum-conditioned spacetime curvatures on three-sphere

General relativity (GR) in its current classical formulation is fundamentally different from quantum mechanics (QM). We argue that the everlasting battle for exploring and understanding the Universe and then privileging a consistent perception of reality is therefore awaiting a consolidator rather than a conqueror. This should be capable of either unifying these two different benchmarks or at least bringing one closer to another! The latter conservatively describes the consolidating quantum geometric approach, which combines generalization of QM to relativistic energies and gravitational fields and continuous Riemann to discretized Finsler geometry. We found that this type of quantum geometric approach seems to unveil additional quantum-conditioned spacetime curvatures (QCC), sources of gravitation), which obviously could not be disclosed in Einstein’s GR, especially at large scales. This study introduces analytical and numerical analyses of QCC. We conclude that (i) nature and characteristics of QCC are fundamentally distinguishable from the classical GR’s spacetime curvatures, (ii) the QCC are intrinsic, real and essential, i.e. not artifacts that would be removed in a certain coordinate transformation and (iii) the magnitude of QCC are nonnegligible to be underestimated. We also conclude that the spacetime at quantum scales seems to be no longer smooth or continuous so that the proposed quantum geometric approach would be regarded as a novel mathematical framework for the emergence of quantum gravity. Last but not least, a maximal proper force is predicted as a new physical constant, which is responsible for the maximal and gravitational acceleration of a quantum particle that would live in the emerged spacetime curvatures. Thereby, the quantum geometric nature of QCC can be accessed and assessed.

Fungal communities in three root herbs: Insights and implications

The roots of Astragali Radix (AM), Dioscoreae Rhizome (DR), and Codonopsis Radix (CR) are frequently used in classical tonic formulations and dietary supplements. Given the extended exposure of rhizomes to complex biological environments, it is necessary to investigate the fungal composition of their surface. In this study, the fungal communities in the three root herbs were analyzed by DNA metabarcoding, and an extensive comparison of the fungal diversity at each taxonomic level was carried out. Furthermore, we examined the effects of species, collection site, and processing method on the fungal community. In Astragali Radix and Codonopsis Radix samples, Cladosporium was the predominant genus, with relative abundances of 1.98 %-76.81 % and 1.69 %-85.59 %, respectively. Aspergillus (0.08 %–99.92 %) was the prevailing genus in Dioscoreae Rhizome samples. Meanwhile, a total of 12 potential toxigenic fungi were identified, including Aspergillus restrictus, Fusarium oxysporum, and Penicillium citrinum. Moreover, the variations in fungal diversity and community composition from different collection sites and processing approaches were observed. Linear discriminant analysis effect size indicated significant differences in the relative abundance of genera among the three root herbs. Gibberella and Mucor genera were significantly enriched in Astragali Radix samples, while Yarrowia and Cladosporium genera exhibited significant enrichment in Dioscoreae Rhizome and Codonopsis Radix samples, respectively (p≤0.001). This study presents novel insights into the fungal profiles of three root herbs, thereby providing references for their safe utilization and quality improvement.

Translational Neuroscience Contributes to Understanding Neurodevelopmental Outcomes of Dostoyevsky's "Brothers Karamazov" With Treatment Implications.

Dostoyevsky's novels raise profound ethical, moral, philosophical and theological issues and, as a result, both he and his novels serve as fertile subjects of scholarly inquiry across a variety of academic disciplines. In particular, major characters in "The Brothers Karamazov" lend themselves to classical psychodynamic formulations, such as the influence of adverse childhood experiences on adult social and occupational outcomes, which in the case of Dmitry, the eldest son of Fyodor Pavlovich Karamazov, are considered in exquisitely fine detail. Prosecutor and defense attorney provide differing interpretations of how early traumas, largely due to paternal neglect and abuse, affected Dmitry's adult outcome in the climactic trial over his alleged patricide. The novel also captures an extreme, and perhaps fanciful, description of an Oedipal rivalry between Dmitry and his father for the affection of a love interest leading to tragic and unpredictable consequences for both. The novel has been dissected by scholars across a variety of diverse and seemingly unrelated disciplines and continues to serve as a springboard for collaborative discussion. Re-reading the novel led the authors to wonder if translational developments in clinical neuroscience could further understanding of poor developmental trajectories of the novel's characters, as well as offer therapeutic recommendations for promoting more favorable occupational and social outcomes. Advances in basic neuroscience have been translated into actionable individualized, interdisciplinary, multimodal treatment plans leading to improved functional outcomes for children like Dmitry, Ivan, and Smerdyakov. Translational neuroscience enriches understanding of neurodevelopmental outcomes of characters in Dostoyevsky's novel "The Brothers Karamazov," especially in the context of genetic risk and in utero environmental insults.

On the Gradient Method in One Portfolio Management Problem

This study refines the methodology for solving stochastic optimal control problems with quality criteria that include the sum of the quality functional of the classical formulation and an extremal measure. A two-level optimization solution of these kinds of problems is presented already for the case where the quality functional consists only of the extremal measure. Our study shows the possibility of solving the original time inconsistency problem through solving a two-level optimization problem, where the outer problem is solved by gradient methods since the value function is convex and the inner problem is solved by classical methods. Some experiments were carried out and confirmed the validity of the theory. The results of the study can be applied to the case of portfolio management with quality criteria containing the Conditional Value-at-Risk (CVaR) metric.