Sage-Tips

What does it mean for a value to be non-negative?

A non negative integer is an integer that that is either positive or zero. It’s the union of the natural numbers and the number zero.

Can X X be negative?

In that case, xx is a positive real number when x can be written as an even number divided by an odd number, and a negative real number when x can be written as an odd number divided by an odd number.

Can X mean be negative?

In short, yes, a negative mean value is feasible with a curve which is normally distributed. It simply means that the values and frequency for the data you are analyzing had enough negative values that the mean was negative.

What is non-negative function?

Non negative function is a function when it attain non negative values only. In detail provide the problem where it is mentioned.

Why zero is not positive or negative?

It’s because the concept of positive and negative number is defined from Zero. Any number lesser than zero is negative and any number greater than zero is positive. Hence, as zero can’t be lesser or greater than itself, it can neither be negative or positive.

Does non-negative include zero?

Non-negative means zero or positive. Non-positive means zero or negative. That is, non-negative includes zero whereas positive does not and vice versa.

Where is X X defined?

The relationship f(x)=x/x is only defined for x /= 0 and thus is not equivalent to 1.

Why do 2 minuses make a plus?

This is in fact the reason why the negative numbers were introduced: so that each positive number would have an additive inverse. The fact that the product of two negatives is a positive is therefore related to the fact that the inverse of the inverse of a positive number is that positive number back again.

Why the standard deviation is always a non-negative number?

Because of its measurement and the distance it scales, the standard deviation will never be a negative number (spaces are never negative numbers). The absolute minimum value for the standard deviation is 0, and it only occurs when each figure is precisely the same throughout the sample group (no variation).

Why standard deviation is always positive?

Why is standard deviation always positive? – Quora. Because the way it is calculated guarantees a positive number. If you simply sum all of the deviations from the mean the answer must be zero which does not give any information about the dispersal of observations within a data set.

How do you prove a function is non-negative?

For all x in [a,b], either f'(x) exists and is equal to a nonzero number, or f(x)>=0 (so if f'(x) exists over all of [a,b], this reduces to proving that for all points where the derivative is zero, the function is nonnegative).

Can values be negative?

While positive ethic value generally correlates with something that is pursued or maximized, negative ethic value correlates with something that is avoided or minimized. Negative value may be both intrinsic negative value and/or instrumental negative value.

Can a random variable have a negative value?

Oliver C. Ibe, in Fundamentals of Applied Probability and Random Processes (Second Edition), 2014 Some random variables assume only nonnegative values. For example, the time X until a component fails cannot be negative.

Are the eigenvalues of $a^ta$ non-negative?

If $A$ has real entries then $A^TA$ is positive semidefinite, since $$ \\langle A^TAv,vangle=\\langle Av,Avangle\\geq 0$$ for all $v$. Therefore the eigenvalues of $A^TA$ are non-negative.

Can time X until a component fails be negative?

For example, the time X until a component fails cannot be negative. In Chapter 1 we defined the reliability function R ( t) of a component as the probability that the component has not failed by time t.

Is the square root of $s$ positive or negative?

Also, $\\langle Sv, v angle = \\langle T^*\\,T v, v angle = \\langle Tv, Tv angle \\geq 0$for every $v \\in V$. Hence $S$is positive. Now every positive operator has a unique positive square root, which, for $S$, I am denoting with $\\sqrt{T^* \\; T}$. Why are the eigenvalues of a positive operator non-negative?