unbounded set造句

• However, with the same initial conditions on an unbounded set of cells its configurations tend to organize themselves into several types of simple moving particles.
• Replacing in such cases the bounded range of variability by an unbounded set, for example, the set of real numbers, may yield dangerous results.
• The remaining points, which are not in the set, give an unbounded set of numbers ( they tend to infinity ) when this function is repeatedly applied from that starting point.
• In finite-dimensional spaces, the Palais Smale condition for a continuously differentiable real-valued function is satisfied automatically for proper maps : functions which do not take unbounded sets into bounded sets.
• OAM multiplexing can ( at least in theory ) access a potentially unbounded set of OAM quantum states, and thus offer a much larger number of channels, subject only to the constraints of real-world optics.
• Since the supremum and infimum of an unbounded set of real numbers may not exist ( the reals are not a complete lattice ), it is convenient to consider sequences in the affinely extended real number system : we add the positive and negative infinities to the real line to give the complete totally ordered set (  "  ",  " ), which is a complete lattice.