Sentence examples for arithmetic part of from inspiring English sources

The restriction η ∣ Gal ( k ) is called the arithmetic part of η and it is denoted by η a r.

To me this is simple arithmetic, not part of a ploy to undermine the entire U.S. political, social, cultural, and financial infrastructure".

Hilbert and his school, with Bernays, Ackermann and von Neumann as foremost, as well as young Herbrand in France, pursued the metamathematical study of arithmetic in the latter part of the 1920s.

That is not the trickiest part of the arithmetic: these strings of numbers all add up to about thirty thousand — the "surge" troops Obama decided to send to Afghanistan in December, 2009.

By coding the formulas of such a theory with natural numbers (now called Gödel numbers) and by talking about these numbers, Gödel was able to make the metamathematics of S become part of the arithmetic of S and hence expressible in S. The theorem in question asserts that the formula of S that expresses (via a coding) "S is consistent" in S is unprovable in S if S is consistent.

And I've been encouraged over the past week to hear Republican after Republican agree for the need for more revenue from the wealthiest Americans as part of our arithmetic if we're going to be serious about reducing the deficit because when it comes to taxes, there are two pathways available.

While HA is a proper part of classical arithmetic, the intuitionistic attitude toward mathematical objects results in a theory of real numbers (cf. sections 3.4 3.7 of the entry on intuitionism in the philosophy of mathematics) diverging from the classical.

Through a proper modulation-and-demodulation technique at the relay nodes, additions of EM signals can be mapped to GF additions of digital bit streams, so that the interference becomes part of the arithmetic operation in network coding.

In PNC, the logical operation, that is XOR, is used by relay to map received signal into a digital bit stream, so that the interference becomes part of the arithmetic operation in network coding.

For it could be the case that when one considers the next level, Σ22 (or further levels, like third-order arithmetic) CH is no longer part of the picture, that is, perhaps large cardinals imply that there is an axiom A such that ZFC + A is Ω-complete for Σ22 (or, going further, all of third order arithmetic) and yet not all such A have an associated TA which contains CH.

Thus proving this notion to be consistent with intuitionistic arithmetic and certain parts of analysis.