discrete applied mathematics archive volume

Arrangement and selection of objects are the central ideas of this chapter on permutations and combinations. They are widely applied in solving problems of probability, genetic engineering and life scienc..

Arrangement and selection of objects are the central ideas of this chapter on permutations and combinations. They are widely applied in solving problems of probability, genetic engineering and life science..

Elementary transformations are of the following three types: Interchange of any two rows (or columns) The multiplication of the elements of a row (or column) by a non-zero number. The addition to the elements of any row (or column) the corresponding elements of any other row (or column) mu..

Let us began this chapter with the following statement: Often a physician may want to test how small changes in dosage can affect the body's response to a particular drug. An economist may want to study how investment changes with variation in interest rates. How the velocity of a heavy meteorite e..

. The mercury reservoir R is so adjusted that the mercury in the branch B of the U-tube is at a fixed reference mark E to keep the confined gas at a constant volume. Then, we read the height of the mercury in the A branch. The pressure of the confined gas is the difference of the heights ..

The variations at the level of the gene which form the basis of the differences between related organism as well as the diversity among organisms is called gene mutation. Gene mutation is defined as a sudden discrete change in the genetic material of gene which is heritable. Mutations whe..

Assuming isothermal conditions to prevail when sound travels through air, Newton has applied Boyle's law to the changes in pressure and volume..

Uncertainty in Measurement - When dealing with objects that can be counted, one can always get an exact answer. But while measuring the weight of a person, the volume of milk in a container, the length of a cloth etc. it is not possible to measure them exactly. The difference in the two s..

Nitrogen is used in high temperature thermometers where mercury cannot be used. This is because mercury boils at 356.7 o C and hence cannot be used in such thermometers. A volume of nitrogen is enclosed in a vessel and introduced into the region of high temperature. Depending upon t..

External forces acting on a body, bring about a change in its state or configuration. The latter is possible when the body is not free to move, but the molecules are compelled to change their positions. Such forces are called deforming forces. These forces bring about a change in the length, v..