linear dependence and independence

The mathematical concept of a function expresses the intuitive idea of deterministic dependence between two quantities, one of which is viewed as primary (the independent variable, argument of the function, or its "input") and the other as secondary (the value of the funct..

The derivative, measures the rate at which the dependent variable changes with respect to the independent variable. It is one of the most important ideas in Calculus. The differentiation of functions are widely used in science, economics, medicine and computer scienc..

Introduction - The derivative, measures the rate at which the dependent variable changes with respect to the independent variable. It is one of the most important ideas in Calculus. The differentiation of functions are widely used in science, economics, medicine and computer sci..

The table shows the color preferences of people in different age groups. At α = 0.10, find the chi-square test value and check whether different colors are preferred at different age groups. => 6.291, color preference is dependent on the age group or 6.291, color preference is ..

depends on the nature of the liquid and solid in contact depends on the medium that exists above the free surface of liquid is independent of the inclination of solid to liquid surface. is fixed for a given pair of solid and liquid and surrounding medium..

Orbital Wave Functions and Shapes of Orbitals - According to wave mechanics, orbitals are described by wave functions known as orbital wave functions. These orbital wave functions can be represented as a product of two functions: (i) Radial wave function and (ii) Angular wave function. The radial w..

1) Both magnetic and electric field depend inversely on the distance between the source and the field point 2) Both are long-range forces 3) Principle of superposition applies to both fields as the fields are linearly related to the source..

Each circular permutation corresponds to n linear permutations depending on where we start. Since there are exactly n! linear permutations, there are exactly permutations. Hence, the number of circular permutations is the same as (n-1)..

The relative energies of various orbitals of single electrons depend on the value of the principal quantum number 'n' and is independent of the value of 'l'. This can be shown by an arrangement known as energy level diagram. The diagram given below illustrates the relative..

If x=f(t) and y=g(t), where x and y are dependant on the independent variable t, then t is called the paramete..