This study examines the mediating role of positive psychological capital and the moderating role of ethnicity in the relationship between mindfulness and internalizing/externalizing problems among adolescents.The stud...This study examines the mediating role of positive psychological capital and the moderating role of ethnicity in the relationship between mindfulness and internalizing/externalizing problems among adolescents.The study sample comprized Chinese adolescents(N=637 ethnic minority;females=40.97%,meam age=12.68,SD=0.49 years;N=636 Han;females=49.06%,mean age=12.71,SD=0.47 years).The participants completed the Child and Adolescent Mindfulness Measure,the Positive Psycap Questionnaire,and the Youth Self-Report.Results from the moderated mediation analysis showed mindfulness was negatively associated with both internalizing and externalizing problems.Ethnicity moderated the relationship between mindfulness and internalizing problems to be stronger for Han adolescents compared to ethnic minority adolescents.Psychological capital mediated the relationship between mindfulness and internalizing problems in both groups,with a negative direction.Findings support the Conservation of Resources theory and highlight mindfulness as a personal resource fostering adolescent well-being in multicultural contexts.展开更多
Objectives This study aimed to develop and preliminarily assess the quality of a Mindfulness Breast Care(MBC)App to reduce body image distress and stigma among breast cancer survivors(BCSs).Methods The development pro...Objectives This study aimed to develop and preliminarily assess the quality of a Mindfulness Breast Care(MBC)App to reduce body image distress and stigma among breast cancer survivors(BCSs).Methods The development process of the MBC App involved:1)establishing a research group;2)determining of the content of the MBC App based on Mindfulness-Based Cognitive Therapy and 3)technical exploitation and maintenance.A mixed-methods study was conducted.We selected ten BCSs by a convenience sampling method.After using the APP for three months,five assessed the quality using the Mobile App Rating Scale:User Version(uMARS)and another five were interviewed for process evaluation.Results The MBC App was developed with three modules:1)Library to provide health education information on body image,stigma,mindfulness,recovery and etc;2)Mindfulness Yoga to offer 12 Hatha yoga videos for daily practice;and 3)Mindfulness Practices to have 12 sessions of mindfulness videoconferences.Based on the uMARS data,the MBC App received high ratings for functionality(4.10±0.34),aesthetics(3.93±0.55),information quality(4.10±0.72),and perceived impact(4.03±0.96),as well as moderate ratings for engagement(3.72±0.94)and subjective quality(3.87±0.77).Participants indicated that the MBC App provided reliable knowledge,information,and emotional support.Recommendations from participants included categorizing knowledge in the Library Module,recording videoconferences of mindfulness practice,and adding discussion sessions in the videoconference.Afterward,we optimized the MBC App to enhance the user experience accordingly.Conclusions The MBC App offers online mindfulness interventions specifically for BCSs in China.The preliminary quality assessment indicates that the MBC App may be a promising tool for delivering mindfulness interventions to BCSs.展开更多
Self-tracking(ST)has progressively increased since the turn of the millennium.Today,every smartphone is equipped with pre-installed“health apps”that cannot be deleted individually.With relatively inexpensive externa...Self-tracking(ST)has progressively increased since the turn of the millennium.Today,every smartphone is equipped with pre-installed“health apps”that cannot be deleted individually.With relatively inexpensive external sensors,such as wristbands,belts,and watches,a variety of parameters are monitored to calculate further data.Direct networking via smartphones allows users to share such data on social networks.The sociological implications of this behaviour,which can also be employed for self-optimisation,have been summarised.Selected ethical and philosophical issues—such as data security and epistemic justice have also been explored in detail.However,the phenomenological and philosophical question of how ST impacts the original perception of one’s own body has been considered quite sparingly thus far.The experience of“being oneself”—the subjective sensing and feeling of the bodily person in self-perception and in interpersonal encounters within the intersubjective bodily resonance space—remains under-explored.Extensive ST can lead to an embodiment of the body,as the supposedly“objective”body data of ST can dictate the primary bodily sensing and feeling.This results in a widening gap between the physical body and the animated body.In my view,this corresponds to a development analogous to the currently prevailing reductionist philosophy of mind,which offers strong materialistic simplifications(the brain generates consciousness solely through neuronal activities),where bodily experience or phenomenal consciousness through the subjective experiential content of mental processes(“qualia”)no longer plays a role.展开更多
Recently we proposed “quantum language”, which was not only characterized as the metaphysical and linguistic turn of quantum mechanics but also the linguistic turn of Descartes = Kant epistemology. And further we be...Recently we proposed “quantum language”, which was not only characterized as the metaphysical and linguistic turn of quantum mechanics but also the linguistic turn of Descartes = Kant epistemology. And further we believe that quantum language is the only scientifically successful theory in dualistic idealism. If this turn is regarded as progress in the history of western philosophy (i.e., if “philosophical progress” is defined by “approaching to quantum language”), we should study the linguistic mind-body problem more than the epistemological mind-body problem. In this paper, we show that to solve the mind-body problem and to propose “measurement axiom” in quantum language are equivalent. Since our approach is always within dualistic idealism, we believe that our linguistic answer is the only true solution to the mind-body problem.展开更多
A mechanics system consisting of three mass points on sphere S 2 is considered. The configuration space of the system is a fibre bundle over S 2 . It is proved that first Chern class of the bundle is -2 c 1...A mechanics system consisting of three mass points on sphere S 2 is considered. The configuration space of the system is a fibre bundle over S 2 . It is proved that first Chern class of the bundle is -2 c 1(γ) where γ is the canonical line bundle over the complex projective space CP 1=S 2 , which shows the bundle is non trivial. The information about the first Chern class makes the cohomology groups and homotopy groups of the configuration space worked out. In addition the effects of these topolo gical properties of the configuration space on the behavior in large scale of the system, as the number of equilibrium positions, periodic orbits and reduced phase space, are discussed.展开更多
Reconfiguration of formation flying around a halo orbit of the Sun-Earth restricted three body system is investigated with impulse maneuvers. For a short time reconfiguration, the two-impulse maneuver is investigated ...Reconfiguration of formation flying around a halo orbit of the Sun-Earth restricted three body system is investigated with impulse maneuvers. For a short time reconfiguration, the two-impulse maneuver is investigated with both analytical and numerical methods and the Beginning-Ending （BE） method is proven to be an energy-optimal one of all two-impulse （TI） reconfigurations, and the energy consumption of BE is independent of the position of the chief spacecraft, and decreases with the reconfiguration time. Then, genetic algorithm is adopted to optimize the energy consumption. The results show that the optimal energy increases with radius difference between the initial and final orbits, and decreases with the reconfiguration time.展开更多
Recently, the notion of general （containing symmetric and asymmetric） Lp-intersection bodies was given. In this article, by the Lp-dual mixed volumes and the general Lp-dual Blaschke bodies, we study the Lp-dual aff...Recently, the notion of general （containing symmetric and asymmetric） Lp-intersection bodies was given. In this article, by the Lp-dual mixed volumes and the general Lp-dual Blaschke bodies, we study the Lp-dual affine surface area forms of the Busemann-Petty problems for general Lp-intersection bodies. Our works belong to a new and rapidly evolving asymmetric Lp-Brtmn-Minkowski theory.展开更多
In the present work the geodesic equation represents the equations of motion of the particles along the geodesics is derived. The deviation of the curved space-time metric tensor from that of the Minkowski tensor is c...In the present work the geodesic equation represents the equations of motion of the particles along the geodesics is derived. The deviation of the curved space-time metric tensor from that of the Minkowski tensor is considered as a perturbation. The quantities is expanded in powers of c-2. The equations of motion of the relativistic three body problem in the PN formalism are obtained.展开更多
Under the theory structure of compressive sensing （CS）, an underdetermined equation is deduced for describing the discrete solution of the electromagnetic integral equation of body of revolution （BOR）, which will ...Under the theory structure of compressive sensing （CS）, an underdetermined equation is deduced for describing the discrete solution of the electromagnetic integral equation of body of revolution （BOR）, which will result in a small-scale impedance matrix. In the new linear equation system, the small-scale impedance matrix can be regarded as the measurement matrix in CS, while the excited vector is the measurement of unknown currents. Instead of solving dense full rank matrix equations by the iterative method, with suitable sparse representation, for unknown currents on the surface of BOR, the entire current can be accurately obtained by reconstructed algorithms in CS for small-scale undetermined equations. Numerical results show that the proposed method can greatly improve the computgtional efficiency and can decrease memory consumed.展开更多
Under the necessary conditions for a double pyramidal central configuration with a diamond base to exist in the real number space, the existence and uniqueness of such configurations were studied by employing combined...Under the necessary conditions for a double pyramidal central configuration with a diamond base to exist in the real number space, the existence and uniqueness of such configurations were studied by employing combinedly the algebraic method and numerical calculation. It is found that there exists a planar curl triangle region G in a square Q such that any point in G and given by the ratio of the two diagonal lengths of the diamond base and the ratio of one diagonal length of the base to the height of the double pyramid configuration determines a unique double pyramid central configuration, while all points in Q-G have no referance to any central configuration.展开更多
We have studied periodic orbits generated by Lagrangian solutions of the restricted three-body problem when both the primaries are triaxial rigid bodies and source of radiation pressure. We have determined periodic or...We have studied periodic orbits generated by Lagrangian solutions of the restricted three-body problem when both the primaries are triaxial rigid bodies and source of radiation pressure. We have determined periodic orbits for different values of (h is energy constant;μ is mass ratio of the two primaries;are parameters of triaxial rigid bodies and are radiation parameters). These orbits have been determined by giving displacements along the tangent and normal at the mobile co-ordinates as defined in our papers (Mittal et al. [1]-[3]). These orbits have been drawn by using the predictor-corrector method. We have also studied the effect of triaxial bodies and source of radiation pressure on the periodic orbits by taking fixed value of μ.展开更多
In this paper, combining with the L_p-dual geominimal surface area and the general L_p-centroid bodies, we research the Shephard type problems for general L_p-centroid bodies.
In this paper, the equations of motion for spatial restricted circular three body problem will be established using the cylindrical coordinates. Initial value procedure that can be used to compute both the cylindrical...In this paper, the equations of motion for spatial restricted circular three body problem will be established using the cylindrical coordinates. Initial value procedure that can be used to compute both the cylindrical and Cartesian coordinates and velocities is also developed.展开更多
For p > 0, Lutwak, Yang and Zhang introduced the concept of L_p-polar projection body Γ_(-p)K of a convex body K in Rn. Let p ≥ 1 and K, L ? Rnbe two origin-symmetric convex bodies, we consider the question of wh...For p > 0, Lutwak, Yang and Zhang introduced the concept of L_p-polar projection body Γ_(-p)K of a convex body K in Rn. Let p ≥ 1 and K, L ? Rnbe two origin-symmetric convex bodies, we consider the question of whether Γ_(-p) K ? Γ_(-p) L implies ?_p(L) ≤ ?_p(K),where ?_p(K) denotes the L_p-affine surface area of K and K = Voln(K)^(-1/p) K. We prove a necessary and sufficient condition of an analog of the Shephard problem for the L_p-polar projection bodies.展开更多
In this paper of the series, the equations of motion for the spatial circular restricted three-body problem in sidereal spherical coordinates system were established. Initial value procedure that can be used to comput...In this paper of the series, the equations of motion for the spatial circular restricted three-body problem in sidereal spherical coordinates system were established. Initial value procedure that can be used to compute both the spherical and Cartesian sidereal coordinates and velocities was also developed. The application of the procedure was illustrated by numerical example and graphical representations of the variations of the two sidereal coordinate systems.展开更多
In this paper,we develop a Fourier analytic approach to study the problem in the Brunn-Minkowski-Firey theory of convex bodies.We formulate and solve a quasi-Shephard's problem on projections of convex bodies.
The present manuscript examines the circular restricted gravitational three-body problem (CRGTBP) by the introduction of a new approach through the power series method. In addition, certain computational algorithms wi...The present manuscript examines the circular restricted gravitational three-body problem (CRGTBP) by the introduction of a new approach through the power series method. In addition, certain computational algorithms with the aid of Mathematica software are specifically designed for the problem. The algorithms or rather mathematical modules are established to determine the velocity and position of the third body’s motion. In fact, the modules led to accurate results and thus proved the new approach to be efficient.展开更多
In this paper, the hyperspherical harmonics used for solving the three and four body problems in nuclear physics are given. The equations of the adiabatic approximation to hyperspherical harmonic method are derived. S...In this paper, the hyperspherical harmonics used for solving the three and four body problems in nuclear physics are given. The equations of the adiabatic approximation to hyperspherical harmonic method are derived. Some properties of the hypernuclous Heare given as the illustrative example of the application of this method.展开更多
The purpose of this research is to apply the Einstein’s principle of relativity to solve the mind-brain problem and to generate all Standard Model Particle masses. Our approach is somewhat analogous to the dualistic ...The purpose of this research is to apply the Einstein’s principle of relativity to solve the mind-brain problem and to generate all Standard Model Particle masses. Our approach is somewhat analogous to the dualistic idea of Descartes. Instead of a pineal gland, wherein the brain interacts with the mind, we propose during the developmental stages of the human fetus the tiny brain begins to communicate with the smallest structures of spacetime. This interaction occurs as the fetus brain begins to emit thermodynamic low heat energies, which are then absorbed into the smallest structures of spacetime saturating the interstices of the fetus brain. Think of these heat-energies like Morse code instructions. Since these kinds of interaction involve spacetime, with brain matter-energy, and that our main guiding principle is that of relativity, our research resulted in a general relativistic wave equation, wherein the n-valued heat-energies emitted by the brain-field-matrix <em style="white-space:normal;">B</em><sub style="white-space:normal;"><span style="white-space:nowrap;"><em>μ</em></span><em></em><em>v</em></sub>, is identified as the energy momentum tensor of general relativity. The spacetime mind-matrix (<em style="white-space:normal;">M</em><sub style="white-space:normal;"><em><em>μ</em><em></em><em>v</em></em></sub>) is likewise identified as the Riemannian curvature matrix. Together they form a general relativistic expression given by: <em>M</em><sub><em><span style="font-size:10px;"><em>μ</em></span><em style="font-size:10px;white-space:normal;"></em><em style="font-size:10px;white-space:normal;">v</em><span style="font-size:10px;white-space:normal;"> </span></em></sub>+<em>P</em><sub><em><span style="font-size:10px;"><em>μ</em></span><em style="font-size:10px;white-space:normal;"></em><em style="font-size:10px;white-space:normal;">v</em><span style="font-size:10px;white-space:normal;"> </span></em></sub><em>M=cB<sub><span style="font-size:10px;"><em>μ</em></span><em style="font-size:10px;white-space:normal;"></em><em style="font-size:10px;white-space:normal;">v</em></sub></em>. Here <em>c</em> represents the combined general relativistic constants. By detaching the energy momentum tensor <em>B</em><sub><span style="white-space:nowrap;"><em>μ</em></span><em></em><em>v</em> </sub>from the general relativistic wave equation, converting it to an operator, and then combining the time component with the Bose-Einstein equation, resulted in a brain temperature function capable of calculating precise heat-energies emitted by the brain during the formation of the fetus mind. As the fetus brain becomes more complex, it further organizes the mind. At some point self-aware consciousness is evoked within the spacetime mind. The same equation (<em>relabeled to distinguish it from the mind-brain equation</em>) can be applied to generate all Standard Model Particle masses.展开更多
The present article studies the stability conditions of central control artificial equilibrium generalized restricted problem of three bodies. It is generalized in the sense that here we have taken the larger primary ...The present article studies the stability conditions of central control artificial equilibrium generalized restricted problem of three bodies. It is generalized in the sense that here we have taken the larger primary body to be in shape of an oblate spheroid. The equilibrium points are sought by the application of the propellant for which it would just balance the gravitational forces. The launching flight of such a satellite is seen to be applicable for having arbitrary space stations for these different missions. Specialty of the result of the investigation lies in the fact that an arbitrary space station can be formed to attain any specified mission.展开更多
基金supported by the Guizhou Provincial Science and Technology Projects[Basic Science of Guizhou-[2024]Youth 309,Guizhou Platform Talents[2021]1350-046]Zunyi Science and Technology Cooperation[HZ(2024)311]+3 种基金Funding of the Chinese Academy of Social Sciences(2024SYZH005)Peking University Longitudinal Scientific Research Technical Service Project(G-252)Guizhou Provincial Graduate Student Research Fund Project(2024YJSKYJJ339)Zunyi Medical University Graduate Research Fund Project(ZYK206).
文摘This study examines the mediating role of positive psychological capital and the moderating role of ethnicity in the relationship between mindfulness and internalizing/externalizing problems among adolescents.The study sample comprized Chinese adolescents(N=637 ethnic minority;females=40.97%,meam age=12.68,SD=0.49 years;N=636 Han;females=49.06%,mean age=12.71,SD=0.47 years).The participants completed the Child and Adolescent Mindfulness Measure,the Positive Psycap Questionnaire,and the Youth Self-Report.Results from the moderated mediation analysis showed mindfulness was negatively associated with both internalizing and externalizing problems.Ethnicity moderated the relationship between mindfulness and internalizing problems to be stronger for Han adolescents compared to ethnic minority adolescents.Psychological capital mediated the relationship between mindfulness and internalizing problems in both groups,with a negative direction.Findings support the Conservation of Resources theory and highlight mindfulness as a personal resource fostering adolescent well-being in multicultural contexts.
基金supported by the National Natural Science Foundation of China(No.71974162 and No.7231101009).
文摘Objectives This study aimed to develop and preliminarily assess the quality of a Mindfulness Breast Care(MBC)App to reduce body image distress and stigma among breast cancer survivors(BCSs).Methods The development process of the MBC App involved:1)establishing a research group;2)determining of the content of the MBC App based on Mindfulness-Based Cognitive Therapy and 3)technical exploitation and maintenance.A mixed-methods study was conducted.We selected ten BCSs by a convenience sampling method.After using the APP for three months,five assessed the quality using the Mobile App Rating Scale:User Version(uMARS)and another five were interviewed for process evaluation.Results The MBC App was developed with three modules:1)Library to provide health education information on body image,stigma,mindfulness,recovery and etc;2)Mindfulness Yoga to offer 12 Hatha yoga videos for daily practice;and 3)Mindfulness Practices to have 12 sessions of mindfulness videoconferences.Based on the uMARS data,the MBC App received high ratings for functionality(4.10±0.34),aesthetics(3.93±0.55),information quality(4.10±0.72),and perceived impact(4.03±0.96),as well as moderate ratings for engagement(3.72±0.94)and subjective quality(3.87±0.77).Participants indicated that the MBC App provided reliable knowledge,information,and emotional support.Recommendations from participants included categorizing knowledge in the Library Module,recording videoconferences of mindfulness practice,and adding discussion sessions in the videoconference.Afterward,we optimized the MBC App to enhance the user experience accordingly.Conclusions The MBC App offers online mindfulness interventions specifically for BCSs in China.The preliminary quality assessment indicates that the MBC App may be a promising tool for delivering mindfulness interventions to BCSs.
文摘Self-tracking(ST)has progressively increased since the turn of the millennium.Today,every smartphone is equipped with pre-installed“health apps”that cannot be deleted individually.With relatively inexpensive external sensors,such as wristbands,belts,and watches,a variety of parameters are monitored to calculate further data.Direct networking via smartphones allows users to share such data on social networks.The sociological implications of this behaviour,which can also be employed for self-optimisation,have been summarised.Selected ethical and philosophical issues—such as data security and epistemic justice have also been explored in detail.However,the phenomenological and philosophical question of how ST impacts the original perception of one’s own body has been considered quite sparingly thus far.The experience of“being oneself”—the subjective sensing and feeling of the bodily person in self-perception and in interpersonal encounters within the intersubjective bodily resonance space—remains under-explored.Extensive ST can lead to an embodiment of the body,as the supposedly“objective”body data of ST can dictate the primary bodily sensing and feeling.This results in a widening gap between the physical body and the animated body.In my view,this corresponds to a development analogous to the currently prevailing reductionist philosophy of mind,which offers strong materialistic simplifications(the brain generates consciousness solely through neuronal activities),where bodily experience or phenomenal consciousness through the subjective experiential content of mental processes(“qualia”)no longer plays a role.
文摘Recently we proposed “quantum language”, which was not only characterized as the metaphysical and linguistic turn of quantum mechanics but also the linguistic turn of Descartes = Kant epistemology. And further we believe that quantum language is the only scientifically successful theory in dualistic idealism. If this turn is regarded as progress in the history of western philosophy (i.e., if “philosophical progress” is defined by “approaching to quantum language”), we should study the linguistic mind-body problem more than the epistemological mind-body problem. In this paper, we show that to solve the mind-body problem and to propose “measurement axiom” in quantum language are equivalent. Since our approach is always within dualistic idealism, we believe that our linguistic answer is the only true solution to the mind-body problem.
文摘A mechanics system consisting of three mass points on sphere S 2 is considered. The configuration space of the system is a fibre bundle over S 2 . It is proved that first Chern class of the bundle is -2 c 1(γ) where γ is the canonical line bundle over the complex projective space CP 1=S 2 , which shows the bundle is non trivial. The information about the first Chern class makes the cohomology groups and homotopy groups of the configuration space worked out. In addition the effects of these topolo gical properties of the configuration space on the behavior in large scale of the system, as the number of equilibrium positions, periodic orbits and reduced phase space, are discussed.
基金The project supported by the National Natural Science Foundation of China(10672084 and 10672084)The Special Science Foundation of the Doctoral Discipline of the Minstry of Education of China(20060003097)
文摘Reconfiguration of formation flying around a halo orbit of the Sun-Earth restricted three body system is investigated with impulse maneuvers. For a short time reconfiguration, the two-impulse maneuver is investigated with both analytical and numerical methods and the Beginning-Ending （BE） method is proven to be an energy-optimal one of all two-impulse （TI） reconfigurations, and the energy consumption of BE is independent of the position of the chief spacecraft, and decreases with the reconfiguration time. Then, genetic algorithm is adopted to optimize the energy consumption. The results show that the optimal energy increases with radius difference between the initial and final orbits, and decreases with the reconfiguration time.
基金Supported by the National Natural Science Foundation of China(11371224)
文摘Recently, the notion of general （containing symmetric and asymmetric） Lp-intersection bodies was given. In this article, by the Lp-dual mixed volumes and the general Lp-dual Blaschke bodies, we study the Lp-dual affine surface area forms of the Busemann-Petty problems for general Lp-intersection bodies. Our works belong to a new and rapidly evolving asymmetric Lp-Brtmn-Minkowski theory.
文摘In the present work the geodesic equation represents the equations of motion of the particles along the geodesics is derived. The deviation of the curved space-time metric tensor from that of the Minkowski tensor is considered as a perturbation. The quantities is expanded in powers of c-2. The equations of motion of the relativistic three body problem in the PN formalism are obtained.
基金Supported by the National Natural Science Foundation of China under Grant Nos 51477039 and 51207041the Program of Hefei Normal University under Grant Nos 2014136KJA04 and 2015TD01the Key Project of Provincial Natural Science Research of University of Anhui Province of China under Grant No KJ2015A174
文摘Under the theory structure of compressive sensing （CS）, an underdetermined equation is deduced for describing the discrete solution of the electromagnetic integral equation of body of revolution （BOR）, which will result in a small-scale impedance matrix. In the new linear equation system, the small-scale impedance matrix can be regarded as the measurement matrix in CS, while the excited vector is the measurement of unknown currents. Instead of solving dense full rank matrix equations by the iterative method, with suitable sparse representation, for unknown currents on the surface of BOR, the entire current can be accurately obtained by reconstructed algorithms in CS for small-scale undetermined equations. Numerical results show that the proposed method can greatly improve the computgtional efficiency and can decrease memory consumed.
文摘Under the necessary conditions for a double pyramidal central configuration with a diamond base to exist in the real number space, the existence and uniqueness of such configurations were studied by employing combinedly the algebraic method and numerical calculation. It is found that there exists a planar curl triangle region G in a square Q such that any point in G and given by the ratio of the two diagonal lengths of the diamond base and the ratio of one diagonal length of the base to the height of the double pyramid configuration determines a unique double pyramid central configuration, while all points in Q-G have no referance to any central configuration.
文摘We have studied periodic orbits generated by Lagrangian solutions of the restricted three-body problem when both the primaries are triaxial rigid bodies and source of radiation pressure. We have determined periodic orbits for different values of (h is energy constant;μ is mass ratio of the two primaries;are parameters of triaxial rigid bodies and are radiation parameters). These orbits have been determined by giving displacements along the tangent and normal at the mobile co-ordinates as defined in our papers (Mittal et al. [1]-[3]). These orbits have been drawn by using the predictor-corrector method. We have also studied the effect of triaxial bodies and source of radiation pressure on the periodic orbits by taking fixed value of μ.
文摘In this paper, combining with the L_p-dual geominimal surface area and the general L_p-centroid bodies, we research the Shephard type problems for general L_p-centroid bodies.
文摘In this paper, the equations of motion for spatial restricted circular three body problem will be established using the cylindrical coordinates. Initial value procedure that can be used to compute both the cylindrical and Cartesian coordinates and velocities is also developed.
基金Supported by the National Natural Science Foundation of China(11561020,11371224)Supported by the Science and Technology Plan of the Gansu Province(145RJZG227)
文摘For p > 0, Lutwak, Yang and Zhang introduced the concept of L_p-polar projection body Γ_(-p)K of a convex body K in Rn. Let p ≥ 1 and K, L ? Rnbe two origin-symmetric convex bodies, we consider the question of whether Γ_(-p) K ? Γ_(-p) L implies ?_p(L) ≤ ?_p(K),where ?_p(K) denotes the L_p-affine surface area of K and K = Voln(K)^(-1/p) K. We prove a necessary and sufficient condition of an analog of the Shephard problem for the L_p-polar projection bodies.
文摘In this paper of the series, the equations of motion for the spatial circular restricted three-body problem in sidereal spherical coordinates system were established. Initial value procedure that can be used to compute both the spherical and Cartesian sidereal coordinates and velocities was also developed. The application of the procedure was illustrated by numerical example and graphical representations of the variations of the two sidereal coordinate systems.
基金Supported by the National Natural Science Foundation of China(11161019,11371224)
文摘In this paper,we develop a Fourier analytic approach to study the problem in the Brunn-Minkowski-Firey theory of convex bodies.We formulate and solve a quasi-Shephard's problem on projections of convex bodies.
文摘The present manuscript examines the circular restricted gravitational three-body problem (CRGTBP) by the introduction of a new approach through the power series method. In addition, certain computational algorithms with the aid of Mathematica software are specifically designed for the problem. The algorithms or rather mathematical modules are established to determine the velocity and position of the third body’s motion. In fact, the modules led to accurate results and thus proved the new approach to be efficient.
文摘In this paper, the hyperspherical harmonics used for solving the three and four body problems in nuclear physics are given. The equations of the adiabatic approximation to hyperspherical harmonic method are derived. Some properties of the hypernuclous Heare given as the illustrative example of the application of this method.
文摘The purpose of this research is to apply the Einstein’s principle of relativity to solve the mind-brain problem and to generate all Standard Model Particle masses. Our approach is somewhat analogous to the dualistic idea of Descartes. Instead of a pineal gland, wherein the brain interacts with the mind, we propose during the developmental stages of the human fetus the tiny brain begins to communicate with the smallest structures of spacetime. This interaction occurs as the fetus brain begins to emit thermodynamic low heat energies, which are then absorbed into the smallest structures of spacetime saturating the interstices of the fetus brain. Think of these heat-energies like Morse code instructions. Since these kinds of interaction involve spacetime, with brain matter-energy, and that our main guiding principle is that of relativity, our research resulted in a general relativistic wave equation, wherein the n-valued heat-energies emitted by the brain-field-matrix <em style="white-space:normal;">B</em><sub style="white-space:normal;"><span style="white-space:nowrap;"><em>μ</em></span><em></em><em>v</em></sub>, is identified as the energy momentum tensor of general relativity. The spacetime mind-matrix (<em style="white-space:normal;">M</em><sub style="white-space:normal;"><em><em>μ</em><em></em><em>v</em></em></sub>) is likewise identified as the Riemannian curvature matrix. Together they form a general relativistic expression given by: <em>M</em><sub><em><span style="font-size:10px;"><em>μ</em></span><em style="font-size:10px;white-space:normal;"></em><em style="font-size:10px;white-space:normal;">v</em><span style="font-size:10px;white-space:normal;"> </span></em></sub>+<em>P</em><sub><em><span style="font-size:10px;"><em>μ</em></span><em style="font-size:10px;white-space:normal;"></em><em style="font-size:10px;white-space:normal;">v</em><span style="font-size:10px;white-space:normal;"> </span></em></sub><em>M=cB<sub><span style="font-size:10px;"><em>μ</em></span><em style="font-size:10px;white-space:normal;"></em><em style="font-size:10px;white-space:normal;">v</em></sub></em>. Here <em>c</em> represents the combined general relativistic constants. By detaching the energy momentum tensor <em>B</em><sub><span style="white-space:nowrap;"><em>μ</em></span><em></em><em>v</em> </sub>from the general relativistic wave equation, converting it to an operator, and then combining the time component with the Bose-Einstein equation, resulted in a brain temperature function capable of calculating precise heat-energies emitted by the brain during the formation of the fetus mind. As the fetus brain becomes more complex, it further organizes the mind. At some point self-aware consciousness is evoked within the spacetime mind. The same equation (<em>relabeled to distinguish it from the mind-brain equation</em>) can be applied to generate all Standard Model Particle masses.
文摘The present article studies the stability conditions of central control artificial equilibrium generalized restricted problem of three bodies. It is generalized in the sense that here we have taken the larger primary body to be in shape of an oblate spheroid. The equilibrium points are sought by the application of the propellant for which it would just balance the gravitational forces. The launching flight of such a satellite is seen to be applicable for having arbitrary space stations for these different missions. Specialty of the result of the investigation lies in the fact that an arbitrary space station can be formed to attain any specified mission.
