Spock: But again Feinstein's argument would not apply to this

Diophantine equation, precisely because this

Diophantine equation can be reduced via the Euclidean algorithm to the equation,

Both methods, the standard PSO algorithm and the proposed modification PSO + GI algorithm, are tested on the

Diophantine equation solver task (see Table 1 in Section 5.

By solving the

Diophantine equation (11), the polynomials R and S can be obtained.

By

Diophantine equation, we mean that Pythagorean triples a,b,c have been substituted with natural numbers such that for any n2, the equation (5) can be expressed as:

Since Peter had stumbled across 33 + 43 + 53 = 63, I looked for other solutions to the

Diophantine equation [a.

Some groups considered equation (1) as a

diophantine equation, determined all non-negative solutions and proved that these solutions are not realisable.

The general solution of the

Diophantine equation [x.

The only solutions to this

Diophantine equation are x - x' = sa + bt, y - y' = sb - at for t [member of] Z.

In [6], Stroeker investigated the

Diophantine equationHence we can write the equation 4n+8=2p as 4n - 2p= - 8 which is nothing but a

diophantine equation.

We search for nonzero integral triples (x, y, z) satisfying the quartic

Diophantine equation 2[x.

Although the phrases step function and

Diophantine equation will not come up at the elementary level, it is important for elementary mathematics teachers to lay the foundation in preparation for when students do learn about such topics.