In Algebra terms, what does restrict the variables mean? Explain the following concept. Free variable Complete the definition. A set is countable if the set is Does conditional independence imply independence? Explain. Give an example of a linear transformation T: R^...
In simplifying rational expressions, pay attention to what values of the variable(s) in the expression would make the denominator equal zero. These values cannot be included in the domain. We call them excluded values.(Note that although the denominator cannot be equivalent to 00, the numerator...
What does 'factor over' mean in abstract algebra? Explain how to factor an equation completely. What is the meaning of factoring in math? Explain with a suitable Example Factor x^2-12x+37 Explain each step and the answer. Factored form definition ...
what is the definition of mean in algebra ? Let I = integral_{0}^{pi / 12} tan^6 (4 x) sec(4 x) dx. Express the value of integral_{0}^{pi / 2} tan^8 (4 x) sec (4 x) dx in terms of I. Expand the quantity \sqrt[2]{p + t} about 0 in terms of \frac{t}{p...
In brief, the Physics package will compute using the rules of tensor algebra only with these objects. • The command Define() with no argument returns the tensors defined in that moment. • The typical use of Define, for instance to define a tensor, say A[mu] with one index, is...
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Define what a universal set is in algebra. State an example. What does CPCTC mean? What does a slashed zero mean in discrete mathematics? Explain how to state the restrictions on a variable. Define opposite rays What does the superscript before a radical mean? What does increase by 10 fold...
. . , gn of one variable and bounded codomain then we can pass to the kernel of all these maps to get rid of them. In particular we can immediately get rid of all terms of the forms G(g(x), y, z, w), G(x, g(y), z, w), G(x, y, g(z), w), G(x, y, z, g(...
) The integral used in obtaining the area bounded by a curve; hence, the definite integral of the product of any function of one variable into the differential of that variable. Quadrature (a.) The position of one heavenly body in respect to another when distant from it 90¡, or a ...
Describe in words the steps to solve the problem below (hint, this is just backwards algebra problem). A sample with a mean of [{MathJax fullWidth='false' M = 40 }] and a variance of [{MathJax fullWidth='false' s^2 = 44 }] has an estimated standard e ...