For example, over the integers modulo , the derivative of the polynomial is the polynomial .

The checksum is generated using a polynomial value of 0x04C11DB7.

Thus if our polynomial is formula_10then the possible rational roots are all the integer divisors of a 0 ( 2) formula_11(This example is simple because the polynomial is monic (i.e.

In mathematics, a polynomial sequence is a sequence of polynomials indexed by the nonnegative integers 0, 1, 2, 3, ..., in which each index is equal to the degree of the corresponding polynomial.

A related class of problems is finding algebraic expressions for the roots of a polynomial in a single variable.

European Expansion or Putin Expansion?

Another technique used to control ones density is the use of a scrambler polynomial on the raw data which will tend to turn the raw data stream into a stream that looks pseudo random, but where the raw stream can be recovered exactly by reversing the effect of the polynomial.

For any non zero polynomial formula_6 over the complex numbers in one variable, the solution set is made up of finitely many points.

For example, formula_1 is a homogeneous polynomial of degree 5, in two variables the sum of the exponents in each term is always 5.

Mission expansion

Mission expansion

For example, algorithms for evaluating the Jones polynomial were first developed in the topological model, and only later converted and extended in the standard quantum circuit model.

Increase expansion level

Decrease expansion level

Expansion of strategic partnerships

(Mission expansion and elections)

A failed blogging expansion project

(a) Expansion of employment opportunities

d. Expansion of the cooperatives

The expansion of AMIS continues.

(b) Expansion of marketing channels.

We are free to assume the expansion happens fast enough to occur without exchange of heat (adiabatic expansion).

The grand expansion of the Soviet empire enabled humankind s exploration of the cosmos and its potential expansion beyond Earth.

NATO expansion is off the table.

With this expansion have come problems.

Global turmoil could derail Brazil s expansion.

Thereafter, growth is labeled an expansion.

C. Geographic expansion through military action

(e) Expansion of training options offered.

However, we strongly oppose the expansion and planned further expansion of Israeli settlements in the West Bank, including East Jerusalem.

AND EXPANSION OF UN SECURITY COUNCIL'S MEMBERSHIP

While credit expansion can offset this to some degree, increased production based on credit expansion inevitably leads to large scale financial risk.

Fortunately, China is promoting a major domestic expansion.

Lingua seemed like the natural expansion of GVO.

Expansion of the categories entitled to unemployment benefits.

(e) Expansion of participants of the rules (universalization).

Planning for such an expansion should commence soon.

While there is, in our view, broad consensus regarding the need for Security Council expansion, major differences exist regarding what kind of expansion should occur.

Expansion of extraordinary policy interventions by the Federal Reserve.

Nor should anyone expect a moratorium on settlement expansion.

Such positive results helped to drive the course s expansion.

So NATO expansion has left the Cold War unfinished.

Archaeological treasures were found during expansion of Panama Canal.

Secondly, Security Council expansion requires amendment of the Charter.

Expansion of the categories entitled to participate in programmes