Sentence examples for proof compared to from inspiring English sources

The new herbal liqueur contains 25percentt alcohol by volume (50 proof, compared to the original's 70 proof) and a decidedly increased proportion of sugar.

But take the time to savor Riserva and it's definitely more complex, owing not least to its higher alcohol content (80 proof compared to 56).

Additional alcoholic beverages, like Voli Light Vodka (which, by the way, keeps calories in check by limiting sugars and keeping it at 60 proof, compared to 80 proof) and wines -- like Mommy's Time Out and Little Black Dress -- are joining the growing list of labels that are aimed at women buyers.

While performing mathematically relevant directed actions facilitated key mathematical insights and intuitions for two tasks (Triangle and Gear), directed actions on their own did not lead to superior informal proofs compared to irrelevant actions.

A possible explanation is the much higher reliability of the deregressed proofs compared to that of the simulated trait (h = 0.1), which also resulted in the higher cross-validation accuracies in the real data.

The properties of the function Φ defined by (1.1) are widely used in the proof of Steps 4 and 5, which can be regarded as a new proof technique compared to the existing work.

The first is that the abstract result for the existence of the unique solution of certain nonlinear parabolic equation is obtained by using the properties of H-monotone operators, consequently, the proof is simplified compared to the corresponding discussions in the literature.

Indeed, the proof of this theorem should be compared to the proofs of Sharkovsky Theorem in [4] and the theorem on trees in [3].

"We can process hundreds of thousands of transactions per second on Hashgraph Hedera, compared to proof of work blockchains like Bitcoin or Ethereum's blockchain that can do 5-7 transactions per second," Harmon said.

A novel UV-LIGA fabrication technique was developed to realize a thicker proof-mass (8 μm) compared to the spring (3 μm), thus decoupling the two important parameters: the stiffness and the proof-mass to achieve higher sensitivity.

Compared to the proof of Lemma 2.7 in [20], a different method is used in the proof of the result (ii) in Lemma 3.2.