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In the same way that a fuction is continuous is one varieable, except the neighbourhood of the arguments and the function value are defined using multi-dimensional metrics. Usually these are the multi-dimensional equivalents of the Pythagorean metric.
Thus, for 2-d
a function f(x,y) is said to be continuous at the point (a,b) if, given e > 0, however small, you can find a value d such that
|f(x,y) = f(a,b)| < e for all (x,y) such that |(x,y) - (a,b)| < d
In other words, you can find a value d such that for ALL points (x,y) that are near enough to (a,b), you can make f(x,y) arbitrarily close to f(a,b).
The 3 (or more) variable definition is analogous.
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What is the difference between continuous and categorical independent variables?
A categorical variable (also known as a discrete variable) is one whose range is countable; e.g. the variable answ has values [yes, no, not sure]. answ is a categorical variable with range 3.A continuous variable is one which is not categorical; e.g. weight is a continuous variable which can take any value between 0 and 1000 kg (say) for a human being.
Is 5-y equals 3x a function?
2
What is a dicrete variable?
A discrete variable is a variable that has a certain set limit. For example, a ten point scale can ONLY have the variables 1, 2, 3, 4, 5, 6, 7, 8, 9, & 10. 2.8 would not work on a discrete variable ten point scale. Height is an example of a continuous variable, or one that has an infinite possibility.
How do you solve a function rule?
Plug in a value for one variable. Then it will give you the value for the other variable. For example, the function rule is: y = 2x + 3 Find the value of y for all whole number values of x from 5 to 7. If x = 5, then y = 2*5+3 = 10 + 3 = 13 If x = 6, then y = 2*6+3 = 12 + 3 = 15 If x = 7, then y = 2*7+3 = 14 + 3 = 17
What is the variable of -7p 3 divided 2?
The variable is p.
Is family size a continuous variable?
No, this is a discrete variable since it can assume only whole number values: 0, 1, 2, 3, ... . A continuous variable would be one such as volume of water in a swimming pool which could be measured in real number units of volume.
How you can modify an integer variable value in a function?
with an assignment: variable = value variable += value variable /= -3; ...
Which is a possible turning point for the continuous function f(x) (3 4) (2 1) (0 5) (1 8)?
Four discrete points do not define a continuous function.
What is the difference between continuous and categorical independent variables?
A categorical variable (also known as a discrete variable) is one whose range is countable; e.g. the variable answ has values [yes, no, not sure]. answ is a categorical variable with range 3.A continuous variable is one which is not categorical; e.g. weight is a continuous variable which can take any value between 0 and 1000 kg (say) for a human being.
Is 5-y equals 3x a function?
2
Is the number of popcorn servings sold per day an example of a continuous variable?
The number of popcorn servings sold per day is actually an exemple of a discrete variable. A discrete variable can only take on certain values within its variable range (1, 2, 3, etc). As such, the number of servings can only take on those values, that are whole numbers, without decimals. You cannot say that you have 1.5 desks in your room, for example. You have 1, 2 or 3 desks. On the contrary, a continuous variable is one that, within its variable range, can take any value. Time would be a good example. Between 2 o'clock and 3 o'clock, there are other values. A student can say it took 2 hours and 10 minutes to complete his exam, for example.
How do you pass a variable by value in php?
In the declaration of the receiving function, you add an ampersand. <?php function myWayCoolFunction( &$params) {.....} $x = array('1','2','3'); myWayCoolFunction($x) ?>
What is a dicrete variable?
A discrete variable is a variable that has a certain set limit. For example, a ten point scale can ONLY have the variables 1, 2, 3, 4, 5, 6, 7, 8, 9, & 10. 2.8 would not work on a discrete variable ten point scale. Height is an example of a continuous variable, or one that has an infinite possibility.
What is the variable of -7p 3 divided 2?
The variable is p.
How do you solve a function rule?
Plug in a value for one variable. Then it will give you the value for the other variable. For example, the function rule is: y = 2x + 3 Find the value of y for all whole number values of x from 5 to 7. If x = 5, then y = 2*5+3 = 10 + 3 = 13 If x = 6, then y = 2*6+3 = 12 + 3 = 15 If x = 7, then y = 2*7+3 = 14 + 3 = 17
What is is a function?
Elucidate the functions of statistics.
What is a cumulative distributive function?
It the the probability that the random variable in question takes any value up to and including the argument. Suppose you have a random variable X and f(x) is the probability that X = x [that is, the rv X takes the value x]. If F(x) denotes the cumulative distribution function of X, then F(x) is the sum of all f(y) where y <= x. Thus, for a fair die, F(1) = f(1) = 1/6 F(2) = f(1) + f(2) = 2/6 F(3) = f(1) + f(2) + f(3) = 3/6 and so on. Note that F(X) = 0 for X < 1, F(a+b) where a is an integer in the interval [1,6] and 0<b<1 is F(a). Thus, for example, F(3.5) = F(3). and F(x) = 1 for x >=6. In the case of continuous probability distributions, the summation is replaced by integration.
