Sentence examples for writing q from inspiring English sources

Next we rearrange the expression difference polynomial Q ( z, f ) by collecting together all terms having the same total degree and then writing Q ( z, f ) in the form Q ( z, f ) = f ( z ) n + ∑ j = 0 d ( P ) a j ˜ ( z ) f ( z ) j, (3.4).

It should be noted that P is transcendental since Q is transcendental and in fact writing Q ′ = P 3 Q ′ - Q ″ Q ′. shows that m ( r, Q ′ ) ≤ m ( r, P ) + S ( r, Q ′ ), therefore, ρ ( P ) = ρ ( Q ′ ) = ρ ( Q ).

As a consequence, each of the states q1,…, q4 has to be considered separately for each patient p. We indicate this by writing q 1 (p ), …, q 4 (p ), p=1,…,34.

Apple's willingness to sound authoritative — some would say Olympian — is an asset in writing Q-heads.

Apple's willingness to sound authoritative some would say Olympian is an asset in writing Q-heads.

When the war started, Apple did return to writing Q-heads — which, as it turned out, drew some of the same sort of criticism that had been directed at him during the Afghanistan campaign.

When the war started, Apple did return to writing Q-heads which, as it turned out, drew some of the same sort of criticism that had been directed at him during the Afghanistan campaign.

We write Q ( j − 1 ) and Q ( j ) as a + c j − 1 ε and b + c j ε, respectively, where a and b are integers.

If we write q = 1 and α = β = 0 in (1.1), then the operators B n, q ( f, x ) are reduced to Szász-Beta type operators studied in [20 23].

Throughout this paper, q denotes a fixed complex number of absolute value less than 1, so that we may write q = exp ( π i τ ), where τ is a complex number with a positive imaginary part.

Solving Eq. (9) simultaneously, the heat flow is written: q = frac{{T_{1} - T_{n} }}{{{{Delta x_{A} } mathord{left/ {vphantom {{Delta x_{A} } {k_{A} A + {{Delta x_{B} } mathord{left/ {vphantom {{Delta x_{B} } {k_{B} A}}} right.