First-order Sentence Examples

Combinatorics was introduced by Ramsey to solve a special case of the decision problem for the first-order predicate calculus.

According to it, sky blue would be the blue of the first order in Newton's scale.

The light scattered from small particles is of a much richer blue than the blue of the first order as reflected from a very thin plate.

He was a master printer and an artist of the first order.

For a single quantic of the first order (ab) is the symbol of a function of the coefficients which vanishes identically; thus (ab) =a1b2-a2bl= aw l -a1ao=0 and, indeed, from a remark made above we see that (ab) remains unchanged by interchange of a and b; but (ab), = -(ba), and these two facts necessitate (ab) = o.

It is evident that the effect at the focal point is the obliteration of the first and other spectra of odd order, so that as regards the spectrum of the first order we may consider that the two beams interfere.

But it is difficult to believe that Lamartine can ever permanently take rank among the first order of poets.

Konigsberg is a naval and military fortress of the first order.

Moreover, this is precisely the condition for the absence of interference between the component of a split beam; because, the time of passage being to the first order fds/V f(udx+vdy+wdz)V2, the second term will then be independent of the path (43 being a single valued function) and therefore the same for the paths of both the interfering beams. If therefore the aether can be put into motion, we conclude (with Stokes) that such motion, in free space, must be of strictly irrotational type.

This theory secures that the times of passage of the rays shall be independent of the motion of the system, only up to the first order of the ratio of its velocity to that of radiation.

The ribbon of the first order is deep red with white edging, of the second scarlet with white central stripe.

The first order was that of Cluny, founded in 910; in rule and manner of life it continued purely Benedictine, and it wielded extraordinary power and religious influence up to the middle of the 12th century.

This product is the same whatever point on the line of action be taken, since the lengthwise components of the dispJacements of any two points A, B on a line AB are equal, to the first order of small quantities.

The distance between the planes of and of will be of the second order of small quantities, and the quadratic moments with respect to of and co will therefore be equal, to the first order.

Now the moment of this localized vector with respect to any axis through G is zero, to the first order of &, since the perpendicular distance of G from the tangent line at G is of the order (ot)2.

His chief counsellor was Dyveke's mother Sigbrit, a born administrator and a commercial genius of the first order.

A curve of the first order is a right line; and conversely every right line is a curve of the first order.

Thus the curve of the first order or right line consists of one branch; but in curves of the second order, or conics, the ellipse and the parabola consist each of one branch, the hyperbola of two branches.

Stated in regard to the cone, we have there the fundamental theorem that there are two different kinds of sheets; viz., the single sheet, not separated into two parts by the vertex (an instance is afforded by the plane considered as a cone of the first order generated by the motion of a line about a point), and the double or twin-pair sheet, separated into two parts by the vertex (as in the cone of the second order).

For this purpose was needed the concentration of a philosophic intellect of the first order on the problems of practice.

The 28 representative peers, with 75 other members having an income of £ 200, or a capital of £4000, elected for ten years by £25 occupiers, were to constitute the first order.

His writings were numerous, but, with one important exception, not of the first order.

The history of the Goths is a historical source of the first order.

The chief cone of rays then enters obliquely into the objective, the angle between the direct cone of rays and the diffraction spectrum of the first order can then become as large again as with direct lighting, and still be taken up in the objective.

Hastily quitting his quarters in Upper Swabia, Gustavus hastened towards Nuremberg on his way to Saxony, but finding that Wallenstein and Maximilian of Bavaria had united their forces, he abandoned the attempt to reach Saxony, and both armies confronted each other at Nuremberg which furnished Gustavus with a point of support of the first order.

The first order of business on lunar New Year's Day is offering ritual homage to one's ancestors.

Prefixes denoting components directly fused to the parent component are called first-order fusion prefixes.

While linear methods have proven invaluable over many years in generating first-order approximations, they are severely limited in both qualitative and quantitative predictions.

We extend their result to more general structures of first order predicate calculus.

The combinatorics was introduced by Ramsey to solve a special case of the decision problem for the first-order predicate calculus.

Section 2 starts by looking at the direction field associated with a first-order differential equation.

The Star Analyzer 100 is a high efficiency 100 lines/mm transmission diffraction grating, blazed in the first order.

In the microcanonical ensemble the presence of a first-order phase transition is indicated by two maxima in the Landau entropy separated by a well.

Students are only required to have some training in basic calculus and some familiarity with first-order difference equations.

I had enough trouble with first order DEs in my maths exam the other day.

With 10% off your first order it's a dead ringer for a real humdinger!

General remarks Informally, a prolog program is a collection of statements, in first-order predicate logic.

The behavior of the earth's mantle remains a first order problem in the Earth Sciences.

Second order pentagons are made from six first order pentagons plus five first order triangles.

In [6] we gave a way of handling " negative resonances " by introducing a first order perturbation.

Reactions may commonly be zero order, first order or second order with respect to a particular reactant.

Given two new first-order variables a and b, the translations ST a and ST b are defined by mutual recursion.

General Sorbier must be ready at the first order to advance with all the howitzers of the Guard's artillery against either one or other of the entrenchments.

Detailed analysis may be undertaken in a manner similar to that for the first order ordinary differential equations.

Most childcare experts agree that the first order of business is to ignore the child's tantrum if at all possible.

The first order of business is to decide what type of used motorcycle you want.

Make your first order a test for the online grocer you've chosen.

The first order of business is to try to make a child more comfortable and hopefully well in the near future.

Once you announce your engagement, your first order of business should be setting a wedding date.

As you begin planning your wedding, developing a budget will probably be your first order of business.

Those charges are often recouped in the form of a discount or gift certificate when placing the first order.

Once you have decided on a garden wedding, the first order of business is to find the venue.

Knowing the legal requirements to get married in Seattle is the first order of business for anyone who is planning a Seattle wedding, whether Seattle natives or not.

Why was her first order of business after her son's death to sell pictures of his last days to a gossip magazine?

Resisting any cold or moisture, it is among dwarf plants of the first order of merit as a rock plant.

While you can always do an exchange, it's preferable to try and get it right on the first order.

The first order of business when caring for your parents is preparing a place for them.

Your first order of business is to hit the swimsuit boutiques.

New RTR customers get a special package called the "Fit Kit" with their first order.

The first order of business is to figure out what you will be using the bag for.

Labels small and large alike design bridal shoes that feature visible and hidden platforms, so the first order of business is to determine your preference.

With this option, delivery every 4 weeks is automatic with a 10% discount and free shipping on your first order.

Finally, launch your business and enjoy great discounts if you place your first order within seven days of joining.