The first question was answered in the negative when in 1963, Eggan gave examples of regular languages of star height n for every n. Here, the star height h ( L ) of a regular language L is defined as the minimum star height among all regular expressions representing L. The first few languages found by are described in the following, by means of giving a regular expression for each language:

Here the Dwarves became occasionally comedic and bumbling, but largely seen as honourable, serious-minded, but still portraying some negative characteristics such as being gold-hungry, overly proud and occasionally officious.

Here Gawain partly retains the negative characteristics attributed to him by the later French, and partly retains his earlier positive representations, creating a character seen by some as inconsistent, and by others as a believably flawed hero.

Here the terms positive and negative are not used in their popular sense, but rather: positive refers to addition, and negative refers to subtraction.

Here k may be negative.

Here means an unsigned infinity, an infinite quantity that is neither positive nor negative.

Here, the thumb points in the direction of the conventional current ( from positive to negative ), and the fingers point in the direction of the magnetic lines of flux.

Here Brahmagupta states that and as for the question of where he did not commit himself .< ref name =" Boyer Brahmagupta p220 "> His rules for arithmetic on negative numbers and zero are quite close to the modern understanding, except that in modern mathematics division by zero is left undefined.

Here the sign of the distances is taken negative if and only if the line segment DX ( X = F, G, H ) lies completely outside the triangle.

Here d < sub > H </ sub > denotes Hausdorff distance between subsets in M and the isometric embedding is understood in the global sense, i. e. it must preserve all distances, not only infinitesimally small ones ; for example no compact Riemannian manifold of negative sectional curvature admits such an embedding into Euclidean space.

Here " T +" or " T −" denote that the result of the test is positive or negative, respectively.

Here a vertex with a positive angular deficit represents a concentration of positive Gaussian curvature, whereas a vertex with a negative angular deficit represents a concentration of negative Gaussian curvature.

Here, is a negative constant multiplied by the spin, so the magnetic moment is antiparallel to the spin angular momentum.

Here pooja is offered to reduce the negative effect of planets on devotees.

Here pooja is offered to reduce the negative effect of planets on devotees.

Here designs in a syrupy solution of sugar or Camp Coffee are painted onto the metal surface prior to it being coated in a liquid etching ground or ' stop out ' varnish.

Here orthogonality is important not only for reducing A < sup > T </ sup > A = ( R < sup > T </ sup > Q < sup > T </ sup >) QR to R < sup > T </ sup > R, but also for allowing solution without magnifying numerical problems.

Here he first interpreted the process of digestion, which he proved to be no mere mechanical process of trituration-that is, of grinding up the food-but one of actual chemical solution, taking place primarily in the stomach, by the action of the gastric juice.

Here the solution was assumed to have the special form Y ( θ, φ ) = Θ ( θ ) Φ ( φ ).

* Not Invented Here ( NIH ) syndrome: The tendency towards reinventing the wheel ( Failing to adopt an existing, adequate solution )

* Invented Here: The tendency towards dismissing any innovation or less than trivial solution originating from inside the organization, usually because of lack of confidence in the staff

Here, a SSL-like connection is a common solution for a large-scale system.

Here, the reader is presented with a puzzle and encouraged to solve it before finishing the story and being told the solution.

Here i is the van't Hoff factor as above, K < sub > b </ sub > is the ebullioscopic constant of the solvent ( equal to 0. 512 ° C kg / mol for water ), and m is the molality of the solution.

Here the branch point is the origin, because the analytic continuation of any solution around a closed loop containing the origin will result in a different function: there is non-trivial monodromy.

Here the goal is to find a solution which is feasible for all such data and optimal in some sense.

Here is the vapor pressure of component i above the solution, is its mole fraction and is the vapor pressure of the pure substance i at the same temperature.

Here is the fugacity of component in solution and is the fugacity of as a pure substance.

Here a reaction at a triple interface between a conductive solid, droplets of a redox active liquid phase and an electrolyte solution have been used to determine the energy required to transfer a charged species across the interface.

Here a paradigm is not a particular solution, but rather the underlying system of ideas that causes a range of solutions to be ' normal ' or ' obvious '.

Here, is the Green's function of this equation, that is, the solution to the inhomogeneous Helmholtz equation with ƒ equaling the Dirac delta function, so G satisfies

Here the Sura presents the solution of human evilness.

Here one first forms the SAM of a given type of molecules, which give rise to ordered assembly and then a second assembly phase is performed ( e. g. by immersion into a different solution ).

Here, the solution is used as the gate electrode.

Here the past is re-presented as solution to our current problems.

Here, it is useful to know that any Killing vectors which may be present will ( in the case of a vacuum solution ) automatically satisfy the curved spacetime Maxwell equations.

Here was Gorton's chance to indulge in something at which he was supreme.

Here was another indispensable tool.

Here he was, suddenly caught up in the delirium of a war, in the spite and calumny of Whigs and Tories.

Here, as in the Byrd case, another element of state procedure was subsumed to federal judge-made law.

Here he put a small man, whose missing hands might have left his function doubtful, until comparison with the first sketches showed that when the artist came back to the beginning, this was to be the closing figure of the party of `` forty-niners '', and was to hold a basket.

Here was stored $1,000,000 worth of bonded whisky.

Here I do not speak of military power where our advantage is obvious and overwhelming but of political power -- of influence, if you will -- about which the relevant questions are: Is Soviet influence throughout the world greater or less than it was ten years ago??

Here was a cause she believed in.

Here I was accompanied by Mrs. Okamoto ( Fumio's mother ), her son, Mr. Washizu ( a prospective student with whom I have been corresponding for more than a year ), and Mr. Nishima, one of the science teachers.

Here again it was vacation time and there were many things I could not see, but I was able to visit with a professor who is famous in Japanese circles and be guided through the grounds by his assistant.

And, Here, I'll take this, I was before her, you wait on me now or I don't bother with it, see!!

Here was what was called the American dream, namely, the effort to build a structure which would be something new in history and to do so in such fashion that God could bless it.

Here was a powerful, ready-made medium, but it could speak only if I told it to.

Here was a man with an enormous gift for living as well as thinking.

Here was another human who understood the stupidity of quarreling with the inevitable.

Here he was enclosed and safe.

Here was a perfect place to lie down and make believe.

Here we have an apotropaic situation, where a god originally bringing the plague was invoked to end it.

Hastings reasoned, " Here was the spot where he had lived when he first came to this country.

Here Alexios III eventually surrendered, with Euphrosyne, to Marquis Boniface of Montferrat, who was establishing himself as ruler of the Kingdom of Thessalonica.

Here, Aegina gave birth to Aeacus, who would later become king of Oenone ; thenceforth, the island's name was Aegina.