Sentence examples for besides the solution from inspiring English sources
In particular, besides the solution, obtained using the so-called regularization approach, a simple statistical estimate of the reconstructed loads and a global measure of the accuracy are investigated.
This is that besides the solution that seems to describe the symmetries of the universe, there appears to be an indefinite number of other solutions, each with its own, private set of symmetries, that do not.That need not be a problem.
However, besides the solution property, the polymer material performance also has an important influence on the formation of helical fibers.
For the sake of completeness, besides the solution above, we will provide another elementary solution in regard to the inequalities (3.7).
Then, besides the solution u constructed in Theorem 3.1, problem (1.1) has another positive solution v ˜ ∈ C [ 0, 1 ] with r < ∥ v ˜ + M ω ∥ ≤ R. To show (1.1) has a positive solution, we will show (3.14) has a solution u ˜ ∈ C [ 0, 1 ] with u ˜ ( x ) > M ω ( x ) for x ∈ [ 0, 1 ] and r ≤ ∥ u ˜ ∥ ≤ R. Let X = C [ 0, 1 ] and K be a cone in X defined by (2.5).
"Besides, the solution would probably be depressingly mundane".
According to Lemma 2.4.9 in [26], we will show that system (3) has at least one positive solution besides the bifurcation solution ((u(s),v s))) when (k_{1}) is small enough and (k_{2}) is sufficiently large with (q>frac{1}{2}).
Naturally, people want to ask whether the system owns the other solutions besides the trivial solution.
Naturally, people want to know whether there are other solutions besides the trivial solution.
As distinguishing aspects of these absorbers, it is worth mentioning that they are adiabatic units, which improves the heat and mass transfer; besides, they distribute the solution in flat-fan sheets, which allows for compact absorber designs; lastly, they are directly air-cooled units, which eliminates the need of cooling towers.
