A CONDITION FOR SIMPLE RING IMPLYING FIELD II

A Geometric Condition Implying Energy Equality for Solutions of 3d Navier-stokes Equation

We prove that every weak solution u to the 3D Navier-Stokes equation that belongs to the class L 3 L 9/2 and ∇u belongs to L 3 L 9/5 localy away from a 1/2-Hölder continuous curve in time satisfies the generalized energy equality. In particular every such solution is suitable.

A simple sufficient condition for strong implementation

In an important step forward Maskin (1977) showed that two properties −Monotonicity and No Veto Power − form a sufficient condition for Nash implementation when conjoinet. In contrast to the vast literature that followed, this characterization has two big advantages: First, it is often easy to verify, and second, it has an elegant and simple interpretation. However, there does not exist a simil...

A simple persistence condition for structured populations.

The fundamental question in both basic and applied population biology of whether a species will increase in numbers is often investigated by finding the population growth rate as the largest eigenvalue of a deterministic matrix model. For a population classified only by age, and not stage or size, a simpler biologically interpretable condition can be used, namely whether R0, the mean number of ...

Can a Large Cardinal Be Forced from a Condition Implying Its Negation?

In this note, we provide an affirmative answer to the title question by giving two examples of cardinals satisfying conditions implying they are non-Rowbottom which can be turned into Rowbottom cardinals via forcing. In our second example, our cardinal is also non-Jonsson. A well-known phenomenon is that under certain circumstances, it is possible to force over a given model V of ZFC containing...

A Simple and Fast Method for Field Calibration of Triaxial Gyroscope by using Accelerometer