Sentence examples for many significant problems from inspiring English sources

A general application of these ideas to many significant problems in engineering is mainly limited by two issues.

The affine-periodicity is a new and attractive topic in this area, and many significant problems remain to be further studied.

A synthetic appreciation of Jean Mawhin's contributions to nonlinear analysis and differential equations could be given by saying that he has tackled many significant problems in such a way that depth is softened with a touch of elegance and simplicity.

Many significant technical problems have been overcome during the lengthy development history and large benefits have been predicted, however, the realization of these benefits through to production applications in the aerospace sector has to date been limited.

Recent developments in the basic theory, algorithms, and applications for curves with rational rotation-minimizing frames (RRMF curves) are reviewed, and placed in the context of the current state-of-the-art by highlighting the many significant open problems that remain.

It is well known (see [1]) that many physically significant problems can be modeled by the initial-value problems of the form.

It is known that many physically significant problems can be modeled by initial value problems of the form x ′ ( t ) + A x ( t ) = 0, x ( 0 ) = x 0, (1.1).

It is well known that many physically significant problems can be modeled by initial value problems of the form x ′ ( t ) + A x ( t ) = 0, x ( 0 ) = x 0, (1.2).

It is well known that many physically significant problems can be modeled by initial value problems (IVP) of the following form: x ′ ( t ) + A x ( t ) = 0, x ( 0 ) = x 0, (1.1).

It is well known that many physically significant problems can be modeled by initial value problems of the following form: (x'(t)+Ax t)=0), (x 0)=x_{0}) where A is an accretive operator in an appropriate Banach space.

It is known (see, e.g., Zeidler [10]) that many physically significant problems can be modeled in terms of an initial-value problem of the form 0infrac{du}{dt}+Au,qquad u(0)=u_{0}, (1.7) where A is a multi-valued accretive map on an appropriate real Banach space.