Passively synchronized femtosecond and picosecond laser pulses are obtained by achieving cross mode-locking induced by cross-phase modulation in a dual-wavelength femtosecond Ti:sapphire laser.

A new cross model based on the frontier research and translational research;

A cross model of 3-D braided composites is presented based on elastic theory.

The notion of crossed modules for Lie color algebras is introduced.

The paper first gives an equivalent definition of crossed modules of linear algebras,and then provides a general way of calculation for any crossed modules of linear algebras,and finally the paper proves that the equivalent set of crossed modules of general linear algebra is trivial and gets the third cohomology.

With the definition of crossed modules of Lie algebras,it is shown that there is only one equivalent class of crossed modules of four dimensional unsolvable Lie algebras,that the corresponding third cohomology is trivial.

In addition, the crossover scale, mutation scale and the mutation rate of each gene in each mutation individual could be adaptively adjusted according to the population diversity.