binary operations a,b


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Binomial Theorem
Introduction - A binomial is an algebraic expression of two terms which are connected by the operations '+' or '-'. For n = 1,2,3,4, the expansion of (a + b) n , has been expressed in a very systematical manner in terms of combinatorial coefficients. The above expression suggest..
Driving force as the overall tendency for a process
It can be summarized that the spontaneous processes occur because of the two tendencies: (i) Tendency of a system to acquire a state of minimum energy. (ii) Tendency of a system to acquire a state of maximum randomness. The overall tendency for a process to take place by itself is called the drivi..
Golden Brown Algae or Diatoms
classification of diatoms These protistans fall under thephylum - Chryosophyta and are commonly called as diatoms . There are more than 5,000 species of diatoms. They are microscopic, unicellular, protistans which represent a major part of phytoplanktons both in fresh water and marine water. Diatoms occur in various shapes ..
Relative Lowering of Vapor Pressure
The relative lowering of vapor pressure is a colligative property as it depends only on the concentration of the solute and it is independent of its nature. Consider a binary solution consisting of non volatile solute in a volatile solvent. The vapor pressure of the solution (P) is equal ..
Biological Nitrogen Fixation
The process is the transformation of gaseous nitrogen into nitrates by living organisms. Biological nitrogen fixation occurs by: a) Symbiotic nitrogen fixation, which is brought about by certain bacteria such as: i) Rhizobium species in the root nodules of legumes (pea family) ii) Nostoc and Anaba..
Integrated Pest Management
Integrated Pest Management - Integrated pest management (IPM) refers to techniques of managing the pest by making use of cultural, chemical and biological methods in the form of integrated module (specific to each crop and each situation). IPM techniques include a mix of all available cultural meth..
Binomial Theorem Introduction
Introduction - A binomial is an algebraic expression of two terms which are connected by the operations '+' or '-'. For example, x - y, a + 3b, x 3 + 4y etc. are binomials. We know that, For n = 1,2,3,4, the expansion of (a + b) n , has been expressed in a very systema..
Control of the Heart Function
location of sino atrial and atrio ventricular nodes in the human heart Control of the Heart Function - The control of the heart function is by a set of muscles and is, therefore, called myogenic . If the heart is removed from a living mammal and placed in a well oxygenated salt solution maintained at 37 o C, the heart continues to function though at a slower rate. Pos..
Example 2:
. This was done under the name 'Operation Research' (OR) because the team was dealing with research on military operation. In 1947, George B. Dantzig developed the first mathematical technique of linear programming. To get the best deal in any venture, one must make th..
Summary
A sentence is called a statement if it can be adjudged as true or false. Every statement is a sentence, but a sentence may or may not be a statement. A statement involving natural number n is generally denoted by P(n). Principle of mathematical induction states that if P(n) is a stateme..
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