introduction to continued fractions

Introduction - An equation containing the trigonometrical functions of an unknown quantity is termed as a trigonometrical equation , which holds for some values (and not for all values) of the quantities involved. The value, that satisfies the equation are called the roots . The main prob..

The concept of limits leads to define and describe continuity and derivative of the function. The continuity of a function has practical as well as theoretical importance. We plot graphs by taking the values generated in the laboratory or collected in the field. We connect..

The sets of numbers which every student must remember are: The set of natural numbers, The set of whole numbers, The set of integers, The set of rational numbers, The set of irrational numbers, Set of Real Numbers, Consecutive integers, Factor, Common factor, Prime numbers, Composite number, ..

The first photosynthetic organism probably appeared almost three billion years ago. With the evolution of photosynthesis, however, organisms began to change the face of our planet and, as a consequence, to exert strong influences on each other. Organisms have continued to change the..

Food is one of the basic needs of man. Early man lived on roots and berries of wild plants but with civilization, man learnt to cultivate plants to satisfy his food needs. With continuous increase in population and rapid urbanization, our natural resources have been over exploited. ..

The creation of a life form, by a similar life is called reproduction. Reproduction is the extension of life of a species at a given time. It is a means of perpetuation of the species and also multiplies their number. By this process, the individuals transmit life to the next generation and t..

Gas is one of the three states of matter - the other two being liquid and solid. A gas differs from a solid and a liquid in a number of ways. A gas fills entire space available to it and therefore it has no definite shape or volume. The molecules in a gas are in a continuous motion in all..

The first photosynthetic organism probably appeared almost three billion years ago. With the evolution of photosynthesis, however, organisms began to change the face of our planet and, as a consequence, to exert strong influences on each other. Organisms have continued to change the envir..

Reproduction is defined as the production of individuals of the same species, that is the next generation of the species. While it is one of the fundamental characteristics of living things, it is not an essential life process. An individual can live without reproducing, but, a species cannot survi..

Animals are different from plants because of their ability of locomotion. This ability probably developed as they have to search for food, unlike the plants that are autotrophic. Since they move from place to place, the animals have to continuously encounter changes in their environment. ..