what quantity is called degrees of freedom?

Answer 1

As you may have noted, "degrees of freedom" in statistics has a certain meaning, the integer that is used to divide a variance to get the mean variance attributable to an effect.

In chemistry, "degrees of freedom" are dimensions of a substance's attributes that you can control. For instance, in an ideal gas problem, you can (in theory) change P, V, n or T. However, if you fix one, say n, then you have put a constraint on the others. If you fix a second one, say T, then P and V are inversely proportional to each other. If you fix 3, you fix all.

Answer 2

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The single degree of freedom system can be represented as


(9 – 1)


where L is the linear operator of the physical system. In the case of dynamic systems, the linear operator is differential and not merely algebraic. The solution to Eq. (9 – 1) is represented by


(9 – 2)


where L-1 is the inverse of L. The operator L-1 is symbolic of solving the differential equation. Although the notation does not explicitly deal with the system’s initial conditions, the solution depends on initial conditions so the operation L-1 assumes that the system is acted on by certain initial conditions.


The operator L is said to be linear when the following occurs: Consider the two solutions x1 and x2. The operator L is linear if for any constant α1 and α2


(9 – 3)


When the operator in Eq. (9 – 1) is linear, Eq. (9 – 1) is said to be a linear equation. The two forces that correspond to the solutions x1 and x2 are and. Letting it follows from Eq. (9 – 3) that


(9 – 4)


Equation (9 – 4) expresses the linear superposition principle. In other words, the following three statements are equivalent: (1) An equation is linear. (2) The operator is linear. (3) The linear superposition principle applies.


A linear control law can be represented by a linear operator, too. For example, the PID control law is represented below using a linear control gain operator:


(9 – 5)

Answer 3

degrees of freedom is a genetics term that is used in chi square charts. It helps researchers (and students unfortunately) help to better understand how accurrate their results are.

Answer 4

degrees of freedom is the number of ways in which the atoms of a molecule can move in a three dimensional plane.
there are three types of degrees of freedom
1. rotatiopnal degree of freedom
2. transltional degree of freedom
3. sorry i can,t remember.
degree of freedom of momoatomic molecules=3
degree of freedom of diatomic degree of freedom =5
d.e.f of triatomic linear molecule is 5
d.e.f of triatomic nonlinear molecule is 6

check it out seriously i m sure about my answer.

Answer 5

Usually motion (up, down, right, left, yaw, torque, forward, etc.) , although it could indicate how many variables can be adjusted of any kind in a situation (temperature, saturation, etc.)