Sentence examples for problem follows that from inspiring English sources

Therefore, considering that bone remodeling is an optimization problem follows that the strain energy and bone density are related by (5) ρ = c ′ U.

Here's the problem: follow that logic for long enough and it leads to a dead end.

Given that modular imperative agent-based modeling is both computationally optimal and a natural structural match for many modeling problems, it follows that modular imperative agent-based modeling is the best modeling method for these situations.

From the feasibility of x in the considered multitime multiobjective variational problem (MVP), it follows that 〈 μ α ( t ), g ( π x ( t ) ) 〉 + 〈 ξ α ( t ), h ( π x ( t ) ) 〉 ≦ 0, (32).

Thus it follows that problem (4.2) has at least one solution.

Thus, it follows that problem (1.1 - 1.2 1.1 - 1.2positive solution u satisfying (rhas{1}< |u|leqrhone2}).

From Theorem 1.1 it follows that problem (1.1) has no nontrivial and nonnegative solutions.

Then from the Banach contraction mapping principle it follows that problem (1.3) has a unique solution.

thus it follows that problem (7.1) has a positive solution by.

By Theorem 1.1, it follows that problem (1.1) admits a solution.

By Theorem 3.1, it follows that problem (4.1) has a minimal positive solution.