Let M(2)be the group of rigid motions of the plane.The Fourier transform and the Piancherel formula on M(2)can be explicitly given by the general group representation theory.Using this fact.we establish a kind of unce...Let M(2)be the group of rigid motions of the plane.The Fourier transform and the Piancherel formula on M(2)can be explicitly given by the general group representation theory.Using this fact.we establish a kind of uncertainty principle on M(2).The result can easily be generalized to higher dimensional cases.An application of the result yields an uncertainty principle on the Euclidean spaces obtained by R.S.Strichartz.展开更多
New energy vehicle (NEV) refers to a vehicle which is fully or partially powered by electricity instead of petrol. Since petrol price grows constantly and people become more environmentally conscious, people have show...New energy vehicle (NEV) refers to a vehicle which is fully or partially powered by electricity instead of petrol. Since petrol price grows constantly and people become more environmentally conscious, people have shown their numerous interests on the NEV. A lot of previous studies have paid more attention on vehicle itself, such as the high technology of the in-car assistance systems, and the pros and cons of electricity as a new energy for vehicle. However, the quality of vehicle should not only be limited to these aspects. Therefore, in this study, author focus more on the relationship between the vehicle and users and gives a brief introduction of some user interface problems through investigating one of the top selling types of NEV, Han EV belonging to BYD company, in terms of Standardize symbol, Gestalt grouping principles, Design of Visual display, Working memory and attention. In addition, corresponding improvement advice will also be provided in the later part of this work.展开更多
Let G be a countable discrete infinite amenable group which acts continuously on a compact metric space X and let μ be an ergodic G-invariant Borel probability measure on X. For a fixed tempered F?lner sequence {Fn} ...Let G be a countable discrete infinite amenable group which acts continuously on a compact metric space X and let μ be an ergodic G-invariant Borel probability measure on X. For a fixed tempered F?lner sequence {Fn} in G with limn→+∞|Fn|/log n= ∞, we prove the following result:h_top^B(G_μ, {F_n}) = h_μ(X, G),where G_μ is the set of generic points for μ with respect to {F_n} and h_top^B(G_μ, {F_n}) is the Bowen topological entropy(along {F_n}) on G_μ. This generalizes the classical result of Bowen(1973).展开更多
文摘Let M(2)be the group of rigid motions of the plane.The Fourier transform and the Piancherel formula on M(2)can be explicitly given by the general group representation theory.Using this fact.we establish a kind of uncertainty principle on M(2).The result can easily be generalized to higher dimensional cases.An application of the result yields an uncertainty principle on the Euclidean spaces obtained by R.S.Strichartz.
文摘New energy vehicle (NEV) refers to a vehicle which is fully or partially powered by electricity instead of petrol. Since petrol price grows constantly and people become more environmentally conscious, people have shown their numerous interests on the NEV. A lot of previous studies have paid more attention on vehicle itself, such as the high technology of the in-car assistance systems, and the pros and cons of electricity as a new energy for vehicle. However, the quality of vehicle should not only be limited to these aspects. Therefore, in this study, author focus more on the relationship between the vehicle and users and gives a brief introduction of some user interface problems through investigating one of the top selling types of NEV, Han EV belonging to BYD company, in terms of Standardize symbol, Gestalt grouping principles, Design of Visual display, Working memory and attention. In addition, corresponding improvement advice will also be provided in the later part of this work.
基金supported by National Basic Research Program of China (Grant No. 2013CB834100)National Natural Science Foundation of China (Grant Nos. 11271191 and 11431012)
文摘Let G be a countable discrete infinite amenable group which acts continuously on a compact metric space X and let μ be an ergodic G-invariant Borel probability measure on X. For a fixed tempered F?lner sequence {Fn} in G with limn→+∞|Fn|/log n= ∞, we prove the following result:h_top^B(G_μ, {F_n}) = h_μ(X, G),where G_μ is the set of generic points for μ with respect to {F_n} and h_top^B(G_μ, {F_n}) is the Bowen topological entropy(along {F_n}) on G_μ. This generalizes the classical result of Bowen(1973).
