For integrable systems, one has the conservation of the action variables.

If a function has an integral, it is said to be integrable.

The device must be integrable to other circuitries to form system.

In general, an integrable system has constants of motion other than the energy.

He made pioneering contributions to the field of quantum integrable systems.

Now they are referred to as completely integrable integral operators.

We know that this limit exists because f was assumed to be integrable.

The word "almost" is removed if the structure is integrable.

The existence of an integrable almost complex structure, on the other hand, is a much more difficult analytic question.

In particular, if k 2 then the Fourier transform is integrable.

The correlation functions can be described by Integrable system.

It is an example of an integrable model.

The derivative of any integrable function can be defined as a distribution.

The test functions are themselves locally integrable, and so define distributions.

There is also a notion of quantum integrable systems.

The system also looks pretty regular for , but the case is the only integrable mass ratio found so far.

He went on to treat problems related both with algebraic geometry and integrable systems.

His research is on integrable systems, gauge theory and random matrices.

Let denote a cumulative distribution function such that is integrable.

If , this is the case of a completely integrable Hamiltonian system.

Similarly, every integrable lowest weight module has a crystal base.

In the simplest case V is smooth and integrable.

Furthermore, we assume that the Fourier transform is also integrable.

It can also be used to show that if an integrable function, and both have compact support then .

Each f is bounded on a set of finite measure, hence integrable.