14. Make up dialogues on the following topics using the Conditional Mood, the verbals, the Passive voice as well as the introductory and connecting words.

1. Kinds of technical documents and the difference between them.

2. The purpose of the patent. 3. The form of the patent. 4. Patent terminology.

15. Consider, comment on and examplify the notions.

Analyptical and Numerical Solutions

With analytical methods we try to obtain a solution in explicit form

y = ƒ₁ (x), (1), or implicit form ƒ₂ (x, y) = 0 (2), containing the required number of arbitrary, costants. The functions f₁ and f₂ may include only the elementary functions sin x, e^x, etc., or involve higher mathematical functions such as those of Airy and Bessel. In practical work; however, the most important usual requirement is that y should be expressible quantitatively in terms of x, by means of a graph if no great precision is needed, or otherwise by a table of values of y calculated at various points in the range of x. In a useful analytical solution, therefore, the functions obtained in it must be well-known and adequately tabulated.

Even in this case, however, much computation may be needed to produce numerical results from an analytical solution. For example, the simple differential equation

y’ ─ = 0

has the solution

y = A e .

Text 2

1. Read and translate the patent claim below. Imagine its drawing. Culinary Knife

3,192,623

Int. Cl. B26b U. S. Cl. 30—24

1. Claims

In a knife, a handle, an angular, outwardly reduced blade comprising two triangular blade segments rectangularly disposed to each other on a common median line longitudinally affixed to one extremity of said handle and extending outwardly therefrom on the axis thereof, a pair of short parallel guide prongs disposed at one side of said blade in a vertical plane parallel to the vertical plane through the median line of said blade and intersecting one rear corner of said blade, a pair of elongated parallel prongs disposed at the opposite side of said blade in a vertical plane parallel to the vertical plane of said short prongs intersecting the opposite, rear corner of said blade and lying in the same horizontal planes, respectively, as said guide prongs whereby when said blade is fully seated in an article to be cut said guide prongs will penetrate the article in the same relative position as said elongated prongs, and will serve as a guide thereof on the next cut.

Vocabulary

knife кухонний ніж

angular blade кутовe лезо

dispose розмістити

affix прикріпити,

prong зуб, загострений

інструмент

penetrate проходити через,

пронизувати