Using the fixed point and direct methods, we prove the Hyers-Ulam stability of the following Cauchy-Jensen additive functional equation 2f（p∑i=1xi＋q∑j=1yj＋2d∑k=1zk/2）=p∑i=1f（xi）＋q∑j=1f（yj）＋2d∑k=1f（zk...Using the fixed point and direct methods, we prove the Hyers-Ulam stability of the following Cauchy-Jensen additive functional equation 2f（p∑i=1xi＋q∑j=1yj＋2d∑k=1zk/2）=p∑i=1f（xi）＋q∑j=1f（yj）＋2d∑k=1f（zk）,where p, q, d are integers greater than 1, in non-Archimedean normed spaces.展开更多
In this paper,using the fixed-point and direct methods,we prove the HyersUlam stability of the following m-Appolonius type functional equation：∑mi=1 f（z-xi）=mf（z-1/m2∑mi=1xi）-1/m∑1≤i〈j≤mf（xi＋xj）,where m ...In this paper,using the fixed-point and direct methods,we prove the HyersUlam stability of the following m-Appolonius type functional equation：∑mi=1 f（z-xi）=mf（z-1/m2∑mi=1xi）-1/m∑1≤i〈j≤mf（xi＋xj）,where m is a natural number greater than 1,in random normed spaces. 更多还原展开更多
The representation of additive functionals and local times for jump Markov processes are obtained.The results of uniformly functional moderate deviation and their applications to birth-death processes are also presented.
The perturbation of semigroup by a multiplicative functional with bounded variation is investigated in the frame of weak duality. The strong continuity and Schrodinger type equation of the perturbated semigroup are di...The perturbation of semigroup by a multiplicative functional with bounded variation is investigated in the frame of weak duality. The strong continuity and Schrodinger type equation of the perturbated semigroup are discussed. A few switching identities and formulae conerning dual additive functionals and Revuz measures are given.展开更多
In this study,we are interested in stochastic differential equations driven by GLévy processes.We illustrate that a certain class of additive functionals of the equations of interest exhibits the path-independent...In this study,we are interested in stochastic differential equations driven by GLévy processes.We illustrate that a certain class of additive functionals of the equations of interest exhibits the path-independent property,generalizing a few known findings in the literature.The study is ended with many examples.展开更多
A function f ： N → Ris called additive if f（mn） = f（m） ＋f （n） for all m, n with （m, n） = 1. Let μ（x） = maxn≤x（f（n） - f（n ＋ 1）） and v（x） = maxn≤x（f（n ＋ 1） - f（n））. In 1979, Ruzsa proved ...A function f ： N → Ris called additive if f（mn） = f（m） ＋f （n） for all m, n with （m, n） = 1. Let μ（x） = maxn≤x（f（n） - f（n ＋ 1）） and v（x） = maxn≤x（f（n ＋ 1） - f（n））. In 1979, Ruzsa proved that there exists a constant c such that for any additive function f, μ（x） ≤ cv（x^2） ＋ cf, where cf is a constant depending only on f. Denote by Raf the least such constant c. We cMl Raf Ruzsa＇s constant on additive functions. In this paper, we prove that Raf≤ 20.展开更多
Assume that B is a separable real Banach space and X(t) is a diffusion process on B. In thispaper, we will establish the representation theorem of martingale additive functionals of X(t).
Let B<sub>α</sub>（α）be an additive function on a ring of integers in the quadratic number field Q（（1/2）d）given by B<sub>α</sub>（α）=∑<sub>p丨α</sub><sup>*</sup...Let B<sub>α</sub>（α）be an additive function on a ring of integers in the quadratic number field Q（（1/2）d）given by B<sub>α</sub>（α）=∑<sub>p丨α</sub><sup>*</sup>N<sup>α</sup>（p）with a fixed α】0,where the asterisk means that the summation is over the non-associate prime divisors p of an integer α in Q（（1/2）d）,N（α）is the norm of α.In this paper we obtain the asymptotic formula of ∑<sub>N</sub>（α）≤<sub>x</sub> <sup>*</sup>B<sub>α</sub>（α）in the case where the class-number of Q（（1/2）d）is one.展开更多
Solid polymer electrolytes(SPEs)have become increasingly attractive in solid-state lithium-ion batteries(SSLIBs)in recent years because of their inherent properties of flexibility,processability,and interfacial compat...Solid polymer electrolytes(SPEs)have become increasingly attractive in solid-state lithium-ion batteries(SSLIBs)in recent years because of their inherent properties of flexibility,processability,and interfacial compatibility.However,the commercialization of SPEs remains challenging for flexible and high-energy-density LIBs.The incorporation of functional additives into SPEs could significantly improve the electrochemical and mechanical properties of SPEs and has created some historical milestones in boosting the development of SPEs.In this study,we review the roles of additives in SPEs,highlighting the working mechanisms and functionalities of the additives.The additives could afford significant advantages in boosting ionic conductivity,increasing ion transference number,improving high-voltage stability,enhancing mechanical strength,inhibiting lithium dendrite,and reducing flammability.Moreover,the application of functional additives in high-voltage cathodes,lithium-sulfur batteries,and flexible lithiumion batteries is summarized.Finally,future research perspectives are proposed to overcome the unresolved technical hurdles and critical issues in additives of SPEs,such as facile fabrication process,interfacial compatibility,investigation of the working mechanism,and special functionalities.展开更多
The topological pressure for subadditive sequence of discontinuous functions is defined on any invariant subset having a nested family of subsets in the compact metric space. Two subadditive variational principles ass...The topological pressure for subadditive sequence of discontinuous functions is defined on any invariant subset having a nested family of subsets in the compact metric space. Two subadditive variational principles associated with two different relatively weak conditions are developed for the defined topological pressure. As an application, we give an example on systems with nonzero Lyapunov exponents.展开更多
Bioactive glass-chitosan-alginate hybrid scaffolds （BG-C-A scaffolds） were fabricated using BG sol as a dual function additive, which behaves as both bioactive inorganic phase to confer the bioactivity and cross-lin...Bioactive glass-chitosan-alginate hybrid scaffolds （BG-C-A scaffolds） were fabricated using BG sol as a dual function additive, which behaves as both bioactive inorganic phase to confer the bioactivity and cross-linker to improve the structural stability and mechanical properties. The microstructure, physicochemical and mechanical properties, in vitro bioactivity and cellular biocompatibility of the scaffolds were investigated. The results indicated that BG component was successfully incorporated into the BG-C-A scaffolds through a facile BG sol-immersing method and the original interconnected microstructure could be well preserved. The obtained BG-C-A scaffolds showed improved mechanical properties and structural stability as compared to C-A scaffolds. At the same time, they presented excellent in vitro bioactivity and cellular compatibility. All these results demonstrated that these BG-C-A scaffolds have promising potential for tissue engineering.展开更多
Flexible lithium metal batteries with high capacity and power density have been regarded as the core power resources of wearable electronics.However,the main challenge lies in the limited electrochemical performance o...Flexible lithium metal batteries with high capacity and power density have been regarded as the core power resources of wearable electronics.However,the main challenge lies in the limited electrochemical performance of solid-state polymer electrolytes,which hinders further practical applications.Incorporating functional inorganic additives is an effective approach to improve the performance,including increasing ionic conductivity,achieving dendrite inhibiting capability,and improving safety and stability.Herein,this review summarizes the latest developments of functional inorganic additives in composite solid-state electrolytes for flexible metal batteries with special emphasis on their mechanisms,strategies,and cutting-edge applications,in particular,the relationship between them is discussed in detail.Finally,the perspective on future research directions and the key challenges on this topic are outlooked.展开更多
Using a fixed-point method, we establish the generalized Hyers-Ulam stability of a general mixed additive-cubic equation： f（kx ＋ y） ＋ f（kx - y） = kf（x ＋ y） ＋ kf（x - y） ＋ 2f（kx） - 2kf（x） in Banach mod...Using a fixed-point method, we establish the generalized Hyers-Ulam stability of a general mixed additive-cubic equation： f（kx ＋ y） ＋ f（kx - y） = kf（x ＋ y） ＋ kf（x - y） ＋ 2f（kx） - 2kf（x） in Banach modules over a unital Banach algebra.展开更多
The intention of this paper is to study new additive kind multi-dimensional functional equations inspired by several applications of difference equations in biology,control theory,economics,and computer science,as wel...The intention of this paper is to study new additive kind multi-dimensional functional equations inspired by several applications of difference equations in biology,control theory,economics,and computer science,as well as notable implementation of fuzzy ideas in certain situations involving ambiguity or vagueness.In the context of different fuzzy spaces,we demonstrate their various fundamental stabilities related to Ulam stability theory.An appropriate example is given to show how stability result fails when the singular case occurs.The findings of this study suggest that stability results are valid in situations with uncertain or imprecise data.The stability results obtained under these fuzzy spaces are compared with previous stability results.展开更多
A novel class of functional additives for lithium sulfur batteries was studied.In particular,the facile operation of adding LiCoO_(2)(LCO)to the sulfur cathode achieves a remarkably improved cycling performance i.e.an...A novel class of functional additives for lithium sulfur batteries was studied.In particular,the facile operation of adding LiCoO_(2)(LCO)to the sulfur cathode achieves a remarkably improved cycling performance i.e.an ultralow capacity degradation of 0.034%per cycle at a 2C rate over 1200 cycles with a LCO addition of only 3 wt%.展开更多
Baotou Research Institute of Rare Earths(BRlRE)has completed construction of its new 5,000 tpa pilot production line for rare earth functional additives,which has now entered the equipment commissioning phase.The line...Baotou Research Institute of Rare Earths(BRlRE)has completed construction of its new 5,000 tpa pilot production line for rare earth functional additives,which has now entered the equipment commissioning phase.The line is scheduled to begin operation by the end of August and will be capable of producing rare earth heat stabilizers,flame retardants,and specialized PLA-modified polymer materials and products,with a daily capacity of up to 20 tonnes.展开更多
In this work,we present a digital light processing(DLP)-flashing-based functionally graded additive manufacturing(FGAM)process for fabricating highly aesthetic zirconia(ZrO_(2))dental crowns with simultaneous color an...In this work,we present a digital light processing(DLP)-flashing-based functionally graded additive manufacturing(FGAM)process for fabricating highly aesthetic zirconia(ZrO_(2))dental crowns with simultaneous color and translucency gradation.Color gradation was achieved by controlled iron oxide(Fe2O3)doping(ranged from 0.0 to 0.10 wt%)in zirconia powders,whereas translucency gradation was simultaneously attained by controlling the isotropic cubic phase(c-ZrO_(2))in the sintered crowns using three different grades of yttria-stabilized ZrO_(2)(3,4,and 5 mol%yttria-stabilized ZrO_(2)powders,i.e.,3YSZ,4YSZ,and 5YSZ,respectively).The crowns were printed through flashing illumination:0.2 s flash time and 1 s off-time between consecutive ultraviolet(UV)flashes to overcome the scattering-induced overcuring associated to continuous printing that degraded the structural accuracy of the design and posed post-processing challenges and property deterioration.International Commision on Illumination’s Lab(CIELAB)color assessments indicated successful coloring indices(L^(*),a^(*),and b^(*)values)matching the graded appearance of natural teeth.Mechanical properties and sintering shrinkage were slightly affected by the Fe_(2)O_(3)and yttria contents of the various compositions.The highest translucency parameter(above 20)was possible with an undoped 5YSZ composition at the top part(incisor)of the crown.The processing challenges during FGAM of ceramic materials were successfully overcome through a flashing mechanism,and the color and translucency gradation of the ZrO_(2)dental crown was simultaneously maintained with enhanced printing precision,which is a potential breakthrough advancement in esthetic dentistry.展开更多
This study compares Arenga obtusifolia(tassey)flour with potato flour,focusing on nutritional,techno-functional,and metabolite profiles.Tassey flour has higher fat(2.50%),fiber(7.11%),and carbohydrate(75.58%)contents,...This study compares Arenga obtusifolia(tassey)flour with potato flour,focusing on nutritional,techno-functional,and metabolite profiles.Tassey flour has higher fat(2.50%),fiber(7.11%),and carbohydrate(75.58%)contents,while potato flour offers more protein(21.33%)and ash(3.44%),making it a better protein source.Tassey flour exhibits strong nutraceutical potential,with a total phenolic content of 439.58 mg GAE g^(-1) and flavonoid content of 16.60 mg QE g^(-1),resulting in high antioxidant activity(ABTS inhibition:79.56%,DPPH:72.23%)than potato flour.Tassey’s peak viscosity(1092.3 mPa s)and pasting temperature(70.76℃)suit it for baked goods requiring moisture retention,while potato flour’s higher amylose(13.64%)and starch content(64.49%)lend structural benefits.Tassey flour also excels in water absorption(40.59%)and oil holding capacity(12.20%)compared to potato flour,making it ideal for snacks and bakery applications needing enhanced moisture.FTIR spectrum reveals the presence of various functional compounds,while SEM images show that the flour granules were smooth,uniform,and ranged from 10 to 50μm.Amino acid analysis shows valuable sulfurcontaining and aromatic amino acids,though potato flour has higher in-vitro protein digestibility(79.03%).HRLCMS analysis further reveals a diverse array of nutraceutical compounds promoting metabolic health and reducing oxidative stress.Sensory testing of cookies reveals strong acceptability for tassey-enhanced variants,particularly Variant D.Tassey’s unique attributes make it an excellent alternative to potato flour in healthfocused and nutrient-enriched food products.展开更多
Some properties of a conditioned superdiffusion are investigated. By a basic property we obtain for it, a class of linear additive functionals, so-called weighted occupation time, is studied. At last, we get an intere...Some properties of a conditioned superdiffusion are investigated. By a basic property we obtain for it, a class of linear additive functionals, so-called weighted occupation time, is studied. At last, we get an interesting result about its extinctive property.展开更多
文摘Using the fixed point and direct methods, we prove the Hyers-Ulam stability of the following Cauchy-Jensen additive functional equation 2f（p∑i=1xi＋q∑j=1yj＋2d∑k=1zk/2）=p∑i=1f（xi）＋q∑j=1f（yj）＋2d∑k=1f（zk）,where p, q, d are integers greater than 1, in non-Archimedean normed spaces.
文摘In this paper,using the fixed-point and direct methods,we prove the HyersUlam stability of the following m-Appolonius type functional equation：∑mi=1 f（z-xi）=mf（z-1/m2∑mi=1xi）-1/m∑1≤i〈j≤mf（xi＋xj）,where m is a natural number greater than 1,in random normed spaces. 更多还原
基金supported by the National Nature Science Foundation of China(10271091)
文摘The representation of additive functionals and local times for jump Markov processes are obtained.The results of uniformly functional moderate deviation and their applications to birth-death processes are also presented.
基金Project supported in part by the National Natural Science Foundation of China (No.19501035).
文摘The perturbation of semigroup by a multiplicative functional with bounded variation is investigated in the frame of weak duality. The strong continuity and Schrodinger type equation of the perturbated semigroup are discussed. A few switching identities and formulae conerning dual additive functionals and Revuz measures are given.
文摘In this study,we are interested in stochastic differential equations driven by GLévy processes.We illustrate that a certain class of additive functionals of the equations of interest exhibits the path-independent property,generalizing a few known findings in the literature.The study is ended with many examples.
基金Supported by National Natural Science Foundation of China(Grant Nos.11071121and11126302)supported by Natural Science Foundation of the Jiangsu Higher Education Institutions(GrantNo.11KJB110006) the Foundation of Nanjing University of Information Science&Technology(Grant No.20110421)
文摘A function f ： N → Ris called additive if f（mn） = f（m） ＋f （n） for all m, n with （m, n） = 1. Let μ（x） = maxn≤x（f（n） - f（n ＋ 1）） and v（x） = maxn≤x（f（n ＋ 1） - f（n））. In 1979, Ruzsa proved that there exists a constant c such that for any additive function f, μ（x） ≤ cv（x^2） ＋ cf, where cf is a constant depending only on f. Denote by Raf the least such constant c. We cMl Raf Ruzsa＇s constant on additive functions. In this paper, we prove that Raf≤ 20.
文摘Assume that B is a separable real Banach space and X(t) is a diffusion process on B. In thispaper, we will establish the representation theorem of martingale additive functionals of X(t).
基金Project supported by the National Natural Science Foundation of China.
文摘Let B<sub>α</sub>（α）be an additive function on a ring of integers in the quadratic number field Q（（1/2）d）given by B<sub>α</sub>（α）=∑<sub>p丨α</sub><sup>*</sup>N<sup>α</sup>（p）with a fixed α】0,where the asterisk means that the summation is over the non-associate prime divisors p of an integer α in Q（（1/2）d）,N（α）is the norm of α.In this paper we obtain the asymptotic formula of ∑<sub>N</sub>（α）≤<sub>x</sub> <sup>*</sup>B<sub>α</sub>（α）in the case where the class-number of Q（（1/2）d）is one.
基金supported by the Australian Research Council(ARC)Discovery Projects(DP210103266 and DP1701048343)the Griffith University Ph.D.Scholarships.
文摘Solid polymer electrolytes(SPEs)have become increasingly attractive in solid-state lithium-ion batteries(SSLIBs)in recent years because of their inherent properties of flexibility,processability,and interfacial compatibility.However,the commercialization of SPEs remains challenging for flexible and high-energy-density LIBs.The incorporation of functional additives into SPEs could significantly improve the electrochemical and mechanical properties of SPEs and has created some historical milestones in boosting the development of SPEs.In this study,we review the roles of additives in SPEs,highlighting the working mechanisms and functionalities of the additives.The additives could afford significant advantages in boosting ionic conductivity,increasing ion transference number,improving high-voltage stability,enhancing mechanical strength,inhibiting lithium dendrite,and reducing flammability.Moreover,the application of functional additives in high-voltage cathodes,lithium-sulfur batteries,and flexible lithiumion batteries is summarized.Finally,future research perspectives are proposed to overcome the unresolved technical hurdles and critical issues in additives of SPEs,such as facile fabrication process,interfacial compatibility,investigation of the working mechanism,and special functionalities.
基金Supported by the National Natural Science Foundation of China (10971100)supported by a grant from Postdoctoral Science Research Program of Jiangsu Province (0701049C)+1 种基金the Fundamental Research Funds for the Central Universitiessupported by National Basic Research Program of China (973 Program)(2007CB814800)
文摘The topological pressure for subadditive sequence of discontinuous functions is defined on any invariant subset having a nested family of subsets in the compact metric space. Two subadditive variational principles associated with two different relatively weak conditions are developed for the defined topological pressure. As an application, we give an example on systems with nonzero Lyapunov exponents.
基金supported by the National Natural Science Foundation of China(No. 51773209)the National Basic Research Program(No. 2017YFC1103300)the Strategic Priority Research Program of Chinese Academy of Sciences(No. XDB12020300)
文摘Bioactive glass-chitosan-alginate hybrid scaffolds （BG-C-A scaffolds） were fabricated using BG sol as a dual function additive, which behaves as both bioactive inorganic phase to confer the bioactivity and cross-linker to improve the structural stability and mechanical properties. The microstructure, physicochemical and mechanical properties, in vitro bioactivity and cellular biocompatibility of the scaffolds were investigated. The results indicated that BG component was successfully incorporated into the BG-C-A scaffolds through a facile BG sol-immersing method and the original interconnected microstructure could be well preserved. The obtained BG-C-A scaffolds showed improved mechanical properties and structural stability as compared to C-A scaffolds. At the same time, they presented excellent in vitro bioactivity and cellular compatibility. All these results demonstrated that these BG-C-A scaffolds have promising potential for tissue engineering.
基金supported by the Natural Science Foundation of China(No.22179062,52125202,22171136,and U2004209)financial support by the Fundamental Research Funds for the Central Universities(No.30922010303)the financial support by the Natural Science Foundation of Jiangsu Province(BK20220079).
文摘Flexible lithium metal batteries with high capacity and power density have been regarded as the core power resources of wearable electronics.However,the main challenge lies in the limited electrochemical performance of solid-state polymer electrolytes,which hinders further practical applications.Incorporating functional inorganic additives is an effective approach to improve the performance,including increasing ionic conductivity,achieving dendrite inhibiting capability,and improving safety and stability.Herein,this review summarizes the latest developments of functional inorganic additives in composite solid-state electrolytes for flexible metal batteries with special emphasis on their mechanisms,strategies,and cutting-edge applications,in particular,the relationship between them is discussed in detail.Finally,the perspective on future research directions and the key challenges on this topic are outlooked.
基金supported by the National Natural Science Foundation of China (10671013,60972089,11171022)
文摘Using a fixed-point method, we establish the generalized Hyers-Ulam stability of a general mixed additive-cubic equation： f（kx ＋ y） ＋ f（kx - y） = kf（x ＋ y） ＋ kf（x - y） ＋ 2f（kx） - 2kf（x） in Banach modules over a unital Banach algebra.
基金The second author is supported by the Science and Engineering Research Board(SERB)of India(MTR/2020/000534).
文摘The intention of this paper is to study new additive kind multi-dimensional functional equations inspired by several applications of difference equations in biology,control theory,economics,and computer science,as well as notable implementation of fuzzy ideas in certain situations involving ambiguity or vagueness.In the context of different fuzzy spaces,we demonstrate their various fundamental stabilities related to Ulam stability theory.An appropriate example is given to show how stability result fails when the singular case occurs.The findings of this study suggest that stability results are valid in situations with uncertain or imprecise data.The stability results obtained under these fuzzy spaces are compared with previous stability results.
基金supported by the National Natural Science Fund of China(Grant No.21701061)the Natural Science Foundation of Jiangsu Province(No.BK20160292)the Natural Science Foundation of the Higher Educations Institutions of Jiangsu Province(No.17KJB430014 and 16KJB150013).
文摘A novel class of functional additives for lithium sulfur batteries was studied.In particular,the facile operation of adding LiCoO_(2)(LCO)to the sulfur cathode achieves a remarkably improved cycling performance i.e.an ultralow capacity degradation of 0.034%per cycle at a 2C rate over 1200 cycles with a LCO addition of only 3 wt%.
文摘Baotou Research Institute of Rare Earths(BRlRE)has completed construction of its new 5,000 tpa pilot production line for rare earth functional additives,which has now entered the equipment commissioning phase.The line is scheduled to begin operation by the end of August and will be capable of producing rare earth heat stabilizers,flame retardants,and specialized PLA-modified polymer materials and products,with a daily capacity of up to 20 tonnes.
基金supported by the Nano&Material Technology Development Program through the National Research Foundation of Korea(NRF)funded by the Ministry of Science and ICT(RS2024-00407234).
文摘In this work,we present a digital light processing(DLP)-flashing-based functionally graded additive manufacturing(FGAM)process for fabricating highly aesthetic zirconia(ZrO_(2))dental crowns with simultaneous color and translucency gradation.Color gradation was achieved by controlled iron oxide(Fe2O3)doping(ranged from 0.0 to 0.10 wt%)in zirconia powders,whereas translucency gradation was simultaneously attained by controlling the isotropic cubic phase(c-ZrO_(2))in the sintered crowns using three different grades of yttria-stabilized ZrO_(2)(3,4,and 5 mol%yttria-stabilized ZrO_(2)powders,i.e.,3YSZ,4YSZ,and 5YSZ,respectively).The crowns were printed through flashing illumination:0.2 s flash time and 1 s off-time between consecutive ultraviolet(UV)flashes to overcome the scattering-induced overcuring associated to continuous printing that degraded the structural accuracy of the design and posed post-processing challenges and property deterioration.International Commision on Illumination’s Lab(CIELAB)color assessments indicated successful coloring indices(L^(*),a^(*),and b^(*)values)matching the graded appearance of natural teeth.Mechanical properties and sintering shrinkage were slightly affected by the Fe_(2)O_(3)and yttria contents of the various compositions.The highest translucency parameter(above 20)was possible with an undoped 5YSZ composition at the top part(incisor)of the crown.The processing challenges during FGAM of ceramic materials were successfully overcome through a flashing mechanism,and the color and translucency gradation of the ZrO_(2)dental crown was simultaneously maintained with enhanced printing precision,which is a potential breakthrough advancement in esthetic dentistry.
基金Graphic Era(Deemed to be University)for financial support in terms of a Seed Money project entitled"Valorization of underutilized tubers of Uttarakhand for possible food application".
文摘This study compares Arenga obtusifolia(tassey)flour with potato flour,focusing on nutritional,techno-functional,and metabolite profiles.Tassey flour has higher fat(2.50%),fiber(7.11%),and carbohydrate(75.58%)contents,while potato flour offers more protein(21.33%)and ash(3.44%),making it a better protein source.Tassey flour exhibits strong nutraceutical potential,with a total phenolic content of 439.58 mg GAE g^(-1) and flavonoid content of 16.60 mg QE g^(-1),resulting in high antioxidant activity(ABTS inhibition:79.56%,DPPH:72.23%)than potato flour.Tassey’s peak viscosity(1092.3 mPa s)and pasting temperature(70.76℃)suit it for baked goods requiring moisture retention,while potato flour’s higher amylose(13.64%)and starch content(64.49%)lend structural benefits.Tassey flour also excels in water absorption(40.59%)and oil holding capacity(12.20%)compared to potato flour,making it ideal for snacks and bakery applications needing enhanced moisture.FTIR spectrum reveals the presence of various functional compounds,while SEM images show that the flour granules were smooth,uniform,and ranged from 10 to 50μm.Amino acid analysis shows valuable sulfurcontaining and aromatic amino acids,though potato flour has higher in-vitro protein digestibility(79.03%).HRLCMS analysis further reveals a diverse array of nutraceutical compounds promoting metabolic health and reducing oxidative stress.Sensory testing of cookies reveals strong acceptability for tassey-enhanced variants,particularly Variant D.Tassey’s unique attributes make it an excellent alternative to potato flour in healthfocused and nutrient-enriched food products.
文摘Some properties of a conditioned superdiffusion are investigated. By a basic property we obtain for it, a class of linear additive functionals, so-called weighted occupation time, is studied. At last, we get an interesting result about its extinctive property.
