Algebra/Linear Algebra
Different forms of numbers Scientific notation, square roots, exponents, radicals, absolute value, factorial, logarithms Properties of numbers Estimation of solutions Sequences and series Proportionality/direct variation, exponential/fractional expressions Patterns, relations and funct..
Limitations of Linear Programming
Linear programming is applicable only to problems where the constraints and objective function are linear i.e., where they can be expressed as equations which represent straight lines. In real life situations, when constraints or objective functions..
Linear Programming Problems (LPP)
Linear Programming Problems (LPP) - The standard form of the linear programming problem is used to develop the procedure for solving a general programming problem. A general LPP is of the form Max (or min) Z = c 1 x 1 + c 2 x 2 + +c n x n x 1 , x 2 , ....x n are called decision ..
Linear Programming Problems (LPP) - The standard form of the linear programming problem is used to develop the procedure for solving a general programming problem. A general LPP is of the form Max (or min) Z = c 1 x 1 + c 2 x 2 + +c n x n x 1 , x 2 , ....x n are called decision ..Objective Function
The Objective Function is a linear function of variables which is to be optimised i.e., maximised or minimised. e.g., profit function, cost function etc. The objective function may be expressed as a linear expressio..
Basic Concept of Linear Programming Problem
Objective Function: The Objective Function is a linear function of variables which is to be optimised i.e., maximised or minimised. e.g., profit function, cost function etc. The objective function may be expressed as a ..
Mathematical Formulation of Linear Programming Problems
There are mainly four steps in the mathematical formulation of linear programming problem as a mathematical model. We will discuss formulation of those problems which involve only two variables. 1. Identify the decision variables and assign symbols x and y to them. These decis..
Mathematical Formulation of Linear Programming Problems
There are mainly four steps in the mathematical formulation of linear programming problem as a mathematical model. We will discuss formulation of those problems which involve only two variables. Identify the decision variables and assign symbols x and y to them. These decision variables a..
Linear Combination of Atomic Orbitals (LCAO) Method
According to LCAO method, the orbitals are formed by the linear combination (addition or subtraction) of atomic orbitals of the atoms, which form the molecule. This theory is applicable to hydrogen molecule as follows. Consider that hydrogen molecule consists of two atoms A and B. E..
Linear Combination of Atomic Orbitals (LCAO) Method
According to LCAO method, the orbitals are formed by the linear combination (addition or subtraction) of atomic orbitals of the atoms, which form the molecule. This theory is applicable to hydrogen molecule as follows. Consider that hydrogen molecule consists of two atoms A and B. Each of..
Structure of Functional Groups
In alcohol, the oxygen of the -OH group is attached to sp 3 hybridized carbon by a sigma ( s ) bond formed by the overlap of sp 3 hybrid orbital of carbon with an sp 3 hybrid orbital of oxygen. in alcohols is slightly less than the tetrahedral angle (109 o 28') In phenols the -OH group is attached ..
In alcohol, the oxygen of the -OH group is attached to sp 3 hybridized carbon by a sigma ( s ) bond formed by the overlap of sp 3 hybrid orbital of carbon with an sp 3 hybrid orbital of oxygen. in alcohols is slightly less than the tetrahedral angle (109 o 28') In phenols the -OH group is attached .. Result
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