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so that they can have a clear an valid point to the argument, with proof.
No, but the can be adjacent angles. It is mathematically valid even though it serves no point.
You probably mean the confidence interval. When you construct a confidence interval it has a percentage coverage that is based on assumptions about the population distribution. If the population distribution is skewed there is reason to believe that (a) the statistics upon which the interval are based (namely the mean and standard deviation) might well be biased, and (b) the confidence interval will not accurately cover the population value as accurately or symmetrically as expected.
When you plot a function with asymptotes, you know that the graph cannot cross the asymptotes, because the function cannot be valid at the asymptote. (Since that is the point of having an asymptotes - it is a "disconnect" where the function is not valid - e.g when dividing by zero or something equally strange would occur). So if you graph is crossing an asymptote at any point, something's gone wrong.
The validity or invalidity of a function are not abstract but depend on its domain and codomain or range. If for any point, A, in the domain there is a unique point, B, in the range such that f(A) = B then the function is valid at A. The validity of a function can change from point to point. For example, f(x) = sqrt(x) is not a function from the set of Real Numbers to the set of Real Numbers because any negative number in the domain is not mapped to any value in the range. This can be corrected either by changing the domain to the set of non-negative Real Numbers or (if you are a more advanced mathematician) change the range to the set of Complex Numbers. Similarly the reciprocal function, f(x) = 1/x is valid everywhere except for x = 0. Or f(x) = tan(x) is valid except for x = 90+k*180 degrees for all integer values of k - so it is not valid at an infinite number of points.
Coulomb's law is applied to point charges because there are "problems" applying it to a charge that has "dimension" to it. A charge is surrounded by an electric field. If we cannot treat it as a point, then the charge has to be "distributed" through the "body" of the charge. It will change the way we have to do the math. If we view charges as non-point sources, then we can't apply the mathematics to the charges in quite the same way as we do when we work things out with point sources. Take a charge that isn't a point source and one that is. If the charge that isn't a point source has "dimension" to it, then the charge on that charge (if that makes sense) is not eminating from a point but from the "body" of the charge as a whole. The electric field will be "distributed" over the volume of the body of the charge, and its effect on a point source will have to be worked out differently than it would if it was point source-to-point source.
Its a valid code which allows you to get the points which you paid for.
You call your cc co. and dispute the charge. They investigate, do a charge back if valid and apply a credit.
No. However verification of a valid phone number is required.
Technically and morally, yes. You don't have a valid receipt. If you get stopped leaving the store they can charge you with shoplifting.
Substitute the coordinates of the point into the equation of the line. If the equation is still valid then the point is on the line; if not then it is not.
Evidence valid means that the cps investigator believes that the charge or report he/she is investigating is true or there is enough proof to substantiate the claim.
the largest amount of land is owned by the smallest number of families
persuasive; valid
so that they can have a clear an valid point to the argument, with proof.
Valid punctuation marks in English include the period, the question mark, the comma, and the apostrophe. Other valid marks are the exclamation point, quotation marks, the colon, and semicolon.
There is no charge if you are a US Citizen and 18 years of age with a valid Email adddress