Question

Algorithm of Text Rendering Треба зробити Алгоритм реферування тексту по таких пунктах. Текст нижче. Допоможіть, будь ласка. 1 State the title and the author of the text (article). 2.State the main topic of the text (article). 3.Define the purpose, the subject and the object. 4. Make an outline of the text (it is often useful to express each paragraph in one sentence). 5. Join the sentences of the outline together using time and space indicators (фрази, що слугують індикаторами часу та місця) like: at the beginning, at first, then, in the second / third / following / next part of the article /text, later, finally etc. 6. Make a conclusion of the text: say what the author proves and express your own opinion of the text (article) you’ve read. If you like /dislike the text, give your motivation. По цьому тексту С. F. GAUSS Carl Friederich Gauss is considered to be the third greatest mathematician in the world, after Archimedes and Newton. He was born in Germany, in 1777. In all the history o f mathematics there is nobody approaching the precocity o f Gauss as a child. Although it seems incredible, Gauss showed his exceptional mathematics qualities before he was three years old. One Saturday his father was making outthe weekly pay-roll for the workers under his charge. At the end of his computation his little son said: «Father, the reckoning is wrong. It should be ...». A check of the account showed that the figure named by the little boy was correct. In later years he liked to joke that he had known how to count before he could talk. A prodigious power for involved mental calculations remained with him all his life. At the age o f 12 he was looking with suspicion at the foundations of Euclidean geometry; by the age o f 16 he had caught his first glimpse of a geometry other than Euclid’s. In 1792 he matriculated at the Caroline College in Brunswick. While still at the college Gauss started those researches in the higher arithmetic which were to make him immortal. His prodigious power of calculation now came into play. Going directly to the numbers themselves he experimented with them, discovering by induction general theorems whose proofs were to cost even him an effort. In this way he discovered «the gem of arithmetic», which is known as the law of quadratic reciprocity, and which he was the first to prove. The whole investigation originated in a simple question which many beginners in arithmetic ask themselves: How many digits are there in the period of a repeating decimal? To get some light on the problem, Gauss calculated the decimal representations of all the fractions 1/n for n = 1 to 1000. He did not find the treasure he was seeking, but something infinitely greater - the law of quadratic reciprocity. The mere discovery o f such a law was a notable achievement. That a boy of nineteen was the first to prove it will suggest to anyone who tries to prove it that Gauss was more than merely competent in mathematics. At the age of 18 he entered the University of Gottingen still being in two minds whether to follow mathematics or philology as his life work. He had already invented the method of the «least squares». This work was the beginning of Gauss’ interest in the theory of errors of observations. At the age of 20 he discovered the double periodicity of certain elliptic functions, and some time later he recognized the double periodicity in the general case. The three years at the University of Gottingen were the most prolific in Gauss’ life. Since 1795 he had been meditating on a great work on the theory of numbers, and by 1789 his work on Arithmetic Research was practically completed. This work was the first Gauss’ masterpiece, and it is considered by some people to be the greatest. After its publication in 1801 (Gauss was then 24) he broadened his activity to include astronomy, geodesy and electromagnetism in their both mathematical and practical aspects. It would take a long list to describe all the outstanding contributions of Gauss to mathematics, both pure and applied. Here is the summary of the principal fields of Gauss’ interests after 1800: astronomy, geodesy, mathematical physics, particularly electromagnetism - (in 1833 Gauss, together with Weber, invented the electric telegraph), terrestrial magnetism, and the theory of attraction according to Newton’s law, the geometry associated with functions of complex variables. To conclude this long but far from being complete list of great things that earned Gauss the undisputable title of the Prince of Mathematics, we must mention the subject which he predicted to become one of the chief concerns of mathematics - the «geometry o f position», or topology. His last years were full of honour, but he was not as happy as he had earned the right to be. He died on February 23, 1855 at the age of 78. Unlike Newton in his last years, Gauss was never attracted by the rewards of public office.

Answer 1

Algorithm of Text Rendering

To create an algorithm for summarizing a text, we can follow these steps:

1. State the title and the author of the text (article). - The title of the text is not provided in the user's question. - The author of the text is C. F. Gauss.

2. State the main topic of the text (article). - The main topic of the text is Carl Friedrich Gauss, a renowned mathematician.

3. Define the purpose, the subject, and the object. - The purpose of the text is to provide information about Carl Friedrich Gauss. - The subject of the text is the life and achievements of Carl Friedrich Gauss. - The object of the text is to inform the reader about Gauss's mathematical abilities and contributions.

4. Make an outline of the text (it is often useful to express each paragraph in one sentence). - The text can be outlined as follows: 1. Introduction to Carl Friedrich Gauss and his status as a great mathematician. 2. Gauss's exceptional mathematical abilities displayed at a young age. 3. Gauss's interest in non-Euclidean geometry and his early research. 4. Gauss's enrollment at Caroline College and his groundbreaking research in higher arithmetic. 5. Gauss's discovery of the law of quadratic reciprocity. 6. Gauss's exploration of the decimal representations of fractions and the unexpected discovery of the law of quadratic reciprocity. 7. Gauss's entrance into the University of Gottingen and his decision to pursue mathematics.

5. Join the sentences of the outline together using time and space indicators (phrases that serve as indicators of time and place) like: at the beginning, at first, then, in the second/third/following/next part of the article/text, later, finally, etc. - The outline sentences can be joined together as follows: - At first, the text introduces Carl Friedrich Gauss as the third greatest mathematician in the world, after Archimedes and Newton. - Then, it describes Gauss's exceptional mathematical abilities displayed at a young age. - In the second part of the text, it discusses Gauss's interest in non-Euclidean geometry and his early research. - Later, it mentions Gauss's enrollment at Caroline College and his groundbreaking research in higher arithmetic. - In the next part of the text, it highlights Gauss's discovery of the law of quadratic reciprocity. - Furthermore, it explains how Gauss's exploration of the decimal representations of fractions led to the unexpected discovery of the law of quadratic reciprocity. - Finally, the text concludes with Gauss's entrance into the University of Gottingen and his decision to pursue mathematics.

6. Make a conclusion of the text: say what the author proves and express your own opinion of the text (article) you've read. If you like/dislike the text, give your motivation. - The text concludes by highlighting Carl Friedrich Gauss's exceptional mathematical abilities, his groundbreaking research, and his contributions to the field of mathematics. It emphasizes his discovery of the law of quadratic reciprocity and his decision to pursue mathematics at the University of Gottingen. As a reader, I find the text informative and inspiring, as it showcases Gauss's remarkable talent and his significant impact on mathematics.

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