Sentence examples for harder thus from inspiring English sources

An extension of that philosophy has created controversy as courses are increasingly injected with water just before races to make them harder, thus less affected by weather and wear.

"Clogged filters make your heating system work harder, thus using more energy," says Ruth King, a licensed contractor and manager at HVACChannel.tv, a Web site that offers advice on heating, ventilation and air conditioning.

Lyrically, Aguilera wants to thank the man to did her wrong rather than insult him, because he helped make her stronger and work harder, thus making her a fighter.

When you delay potty sessions, your stools will get harder, thus making it more difficult for you to push them out, causing you to strain.

It takes more force to push blood through narrow vessels, and to maintain circulation the heart pushes harder, thus increasing blood pressure, to force blood through the vessels.

The MSA problem was proven NP-Hard, thus requiring a high amount of memory and computing power.

The resulting "Sparse Least Square" problem is NP-hard, thus a simulated annealing algorithm is adopted to learn such dictionary, or image summary, by minimizing the proposed optimization function.

This problem has been classified as NP hard; thus, this paper proposes an approach aiming to solve the logistics network problem using a modified multi objective extension of the IWD which returns a Pareto set.

Since the above problem (1.5) is nonconvex and NP-hard, thus the researchers throughout the world proposed and analyzed some iterative reweighted algorithms [13 15].

The proposed model is NP hard; thus, GAMS software is unable to find the optimal solutions for large-scale problems and we use meta-heuristic approaches to solve it.

Whey is taken out of cheese as well to make it hard, thus considered a by-product, and that is how it was discovered.