a set s of n distinct numbers and a positive


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Basic Definitions
Set: A well-defined collection of distinct objects is called a set. Notation of Sets: Capital letters are usually used to denote or represent a set. Representation of Sets: There are two methods of representing a ..
Sequences and Series Summary
>These formulae are used when 'last term' is given. (v) If 'a' and 'r' be the first term and common ratio of a G.P. such (vi) If the sequence a, G 1 , G 2 ,....,G n , b of positive numbers is a G.P., then the numbers G 1 , G 2 ,....,G n , are called..
Example:
If A is a set of all positive factors of 36, then in Set builder method it is written as A = {x : x is a factor of 36, x N..
Co-factors
Note that the position is 1 s t row and 2 n d column. Delete the 1 s t row and 2 n d column, the determinant so obtained is the minor of a 1 2 That is minor of a 1 2 The co-factor of a 1 2 = A 1 2 = (-1) 1 + 2 M 1 2 = - (a 2 1 a 3 3 - a 3 1 a 2 3 ) ..
Spin Quantum Number (s)
Spin Quantum Number (s) - It is observed that the electron is not only revolving around the nucleus but it is also spinning on its own axis. The spin of the electron produces a small magnetic field as a result of which the electron behaves as a 'tiny magnet'. This quantum n..
Locating the Position of an Element
Predicting Period, Group and Block of an Element - Knowing the electronic configuration, one can predict the period, which corresponds to the principal quantum number of the valence shell. The block of the element corresponds to the sub shell, which receives the last electron. The po..
Recognize the incorrect statement(s).I. When all data for a variable a..
Recognize the incorrect statement(s). I. When all data for a variable are transformed into z scores, the resulting distribution will have a mean of 1 and a standard deviation of 0. II. The z score represents the number of standard deviations that a data value falls above or belo..
Quantum Numbers
Quantum Numbers - Orbitals of electrons in atoms differ in size shape and orientation. Definite energies and angular movements characterize atomic orbitals. The state of an electron in any atom is defined by certain permissible values of energy and angular momentum, which describe its loc..
Quantum Numbers
Schrodinger wave equation, when solved for hydrogen atom gives mathematical Y functions, which describe the allowed energy states in an atom. It is observed that physical meaningful solutions required three constants n, l and m, which are called quantum numbers. Each electron in..
Quantum Numbers
Schrodinger wave equation, when solved for hydrogen atom gives mathematical Y functions, which describe the allowed energy states in an atom. It is observed that physical meaningful solutions required three constants n, l and m, which are called quantum numbers. Each ele..
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