Union of sets
If two sets are given, a set can be formed by using all the elements of the two sets. Such a collection is called the union of the given sets..
State whether the expression {x : x< 3} or {x : x> 10} represent..
State whether the expression { x : x < 3} or { x : x > 10} represents an intersection or union of sets. => disjunction or union or intersection or conjunction..
Operations on Sets
The Operations on Sets are: Union of sets, Intersection of sets, Disjoint sets, Difference of two sets (Relative complement), Symmetric Difference of two sets, Complement of a set..
Real Numbers
The union of the set of rational numbers and irrational numbers forms the set of real numbers. (i) For every real number, there is a corresponding point on the number line. (ii) For every point on the number line, there exists a real numbe..
Real Numbers
Real Numbers - The union of the set of rational numbers and irrational numbers forms the set of real numbers. Q = {rational numbers} = {irrational numbers} Then = R = {real number..
Real Numbers - The union of the set of rational numbers and irrational numbers forms the set of real numbers. Q = {rational numbers} = {irrational numbers} Then = R = {real number..Introduction
We are already familiar with set theory and mathematical logic from earlier classes. It has already been seen that there is a similarity between the laws stated in set theory and the mathematical logic. The operations 'union', 'intersection' and 'complement' on se..
Rational and Irrational Numbers
The rational numbers can be expressed as terminating or recurring decimals. Numbers which are not rational are called irrational numbers . When expressed as decimals, they are non-terminating and non-recurring. We can obtain infinite number of irrationals between two irrational numb..
IUPAC Nomenclature for Elements with Z > 100
All elements beyond uranium (Z=92) are synthesized in the laboratories and are known as 'trans uranium elements'. The elements, beyond fermium (Z=100) are known as 'trans fermium elements'. These elements have atomic numbers 101 onwards. Elements like fermium (Z=100), mendelevium (Z=101), nobelium ..
Algebra of Events
In a random experiment, considering S(the sample space) as the universal set, let A, B and C be the events of S. We can define union, intersection and complement of events and their properties on S, which is similar to those in set theory. ii) A-B is an event, which..
In a random experiment, considering S(the sample space) as the universal set, let A, B and C be the events of S. We can define union, intersection and complement of events and their properties on S, which is similar to those in set theory. ii) A-B is an event, which..Fertilisation
Longitudinal section of a flower showing germination of pollen grains and the phenomenon of fertilization. One pollen tube has grown through the style and has entered the embryo sac through the micropyle The pollen tube enters into the ovule, through the micropyle. Inside the embryo sac, the tip of..
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