The modifiedλ-differential Lie-Yamaguti algebras are considered,in which a modifiedλ-differential Lie-Yamaguti algebra consisting of a Lie-Yamaguti algebra and a modifiedλ-differential operator.First we introduce t...The modifiedλ-differential Lie-Yamaguti algebras are considered,in which a modifiedλ-differential Lie-Yamaguti algebra consisting of a Lie-Yamaguti algebra and a modifiedλ-differential operator.First we introduce the representation of modifiedλ-differential Lie-Yamaguti algebras.Furthermore,we establish the cohomology of a modifiedλ-differential Lie-Yamaguti algebra with coefficients in a representation.Finally,we investigate the one-parameter formal deformations and Abelian extensions of modifiedλ-differential Lie-Yamaguti algebras using the second cohomology group.展开更多
Big data is playing an important role in preventing,control and monitoring COVID-19,but during the process,the legality of the use of personal information shall be paid attention to.Personal information should be divi...Big data is playing an important role in preventing,control and monitoring COVID-19,but during the process,the legality of the use of personal information shall be paid attention to.Personal information should be divided into general information and sensitive information,and the use of sensitive information should take"Consent"as its legality basis.In the process of personal information collection,the subject qualification of the collection organization or personnel should be clearly defined,and the starting conditions and process specifications of the collection work should be determined.The use of personal information should be in accordance with legal provisions or agreed ways and purposes and should not violate individual privacy rights and other personality rights,and should not improperly display the"digital image"of individuals.展开更多
A model of continuous-time insider trading in which a risk-neutral in-sider possesses two imperfect correlated signals of a risky asset is studied.By conditional expectation theory and filtering theory,we first establ...A model of continuous-time insider trading in which a risk-neutral in-sider possesses two imperfect correlated signals of a risky asset is studied.By conditional expectation theory and filtering theory,we first establish three lemmas:normal corre-lation,equivalent pricing and equivalent profit,which can guarantee to turn our model into a model with insider knowing full information.Then we investigate the impact of the two correlated signals on the market equilibrium consisting of optimal insider trading strategy and semi-strong pricing rule.It shows that in the equilibrium,(1)the market depth is constant over time;(2)if the two noisy signals are not linerly correlated,then all private information of the insider is incorporated into prices in the end while the whole information on the asset value can not incorporated into prices in the end;(3)if the two noisy signals are linear correlated such that the insider can infer the whole information of the asset value,then our model turns into a model with insider knowing full information;(4)if the two noisy signals are the same then the total ex ant profit of the insider is increasing with the noise decreasing,while down to O as the noise going up to infinity;(5)if the two noisy signals are not linear correlated then with one noisy signal fixed,the total ex ante profit of the insider is single-peaked with a unique minimum with respect to the other noisy signal value,and furthermore as the noisy value going to O it gets its maximum,the profit in the case that the real value is observed.展开更多
Afro- American Women were once a social minority and the weaker gender in American society. Through the endeavor of a group of Afro- American women writers,they have achieved a great success for the cultural identity ...Afro- American Women were once a social minority and the weaker gender in American society. Through the endeavor of a group of Afro- American women writers,they have achieved a great success for the cultural identity by concluding their own social experience into works in recent decades. This paper reviews the cultural identity built by Afro- American black women writers and introduces its historical reasons,works,and historical significance. By doing this,we stand to gain insights into the American women writers and find their great contributions to their cultural identity in American culture.展开更多
基金National Natural Science Foundation of China(12161013)Research Projects of Guizhou University of Commerce in 2024。
文摘The modifiedλ-differential Lie-Yamaguti algebras are considered,in which a modifiedλ-differential Lie-Yamaguti algebra consisting of a Lie-Yamaguti algebra and a modifiedλ-differential operator.First we introduce the representation of modifiedλ-differential Lie-Yamaguti algebras.Furthermore,we establish the cohomology of a modifiedλ-differential Lie-Yamaguti algebra with coefficients in a representation.Finally,we investigate the one-parameter formal deformations and Abelian extensions of modifiedλ-differential Lie-Yamaguti algebras using the second cohomology group.
文摘Big data is playing an important role in preventing,control and monitoring COVID-19,but during the process,the legality of the use of personal information shall be paid attention to.Personal information should be divided into general information and sensitive information,and the use of sensitive information should take"Consent"as its legality basis.In the process of personal information collection,the subject qualification of the collection organization or personnel should be clearly defined,and the starting conditions and process specifications of the collection work should be determined.The use of personal information should be in accordance with legal provisions or agreed ways and purposes and should not violate individual privacy rights and other personality rights,and should not improperly display the"digital image"of individuals.
文摘A model of continuous-time insider trading in which a risk-neutral in-sider possesses two imperfect correlated signals of a risky asset is studied.By conditional expectation theory and filtering theory,we first establish three lemmas:normal corre-lation,equivalent pricing and equivalent profit,which can guarantee to turn our model into a model with insider knowing full information.Then we investigate the impact of the two correlated signals on the market equilibrium consisting of optimal insider trading strategy and semi-strong pricing rule.It shows that in the equilibrium,(1)the market depth is constant over time;(2)if the two noisy signals are not linerly correlated,then all private information of the insider is incorporated into prices in the end while the whole information on the asset value can not incorporated into prices in the end;(3)if the two noisy signals are linear correlated such that the insider can infer the whole information of the asset value,then our model turns into a model with insider knowing full information;(4)if the two noisy signals are the same then the total ex ant profit of the insider is increasing with the noise decreasing,while down to O as the noise going up to infinity;(5)if the two noisy signals are not linear correlated then with one noisy signal fixed,the total ex ante profit of the insider is single-peaked with a unique minimum with respect to the other noisy signal value,and furthermore as the noisy value going to O it gets its maximum,the profit in the case that the real value is observed.
文摘Afro- American Women were once a social minority and the weaker gender in American society. Through the endeavor of a group of Afro- American women writers,they have achieved a great success for the cultural identity by concluding their own social experience into works in recent decades. This paper reviews the cultural identity built by Afro- American black women writers and introduces its historical reasons,works,and historical significance. By doing this,we stand to gain insights into the American women writers and find their great contributions to their cultural identity in American culture.
