(2x)3 = the quantity 2x raised to 3
Higher-level mathematical concepts, such as entirely new methods of calculation, may be patented. For example, this is the abstract of a patent application being reviewed at the moment: A method for obtaining an estimate of a solution to a first system of linear equations. The method comprises obtaining a second system of linear equations, obtaining an estimate of a solution to said second system of linear equations, determining differences between said first and second systems of linear equations, and determining an estimate of a solution to said first system of linear equations based upon said differences and said estimate of said solution to said second system of linear equations. In the language of the various laws, this would be called a "process," which the statute degines as "a process, act, or method." Also according to the law, the process must be useful and novel. It's worth noting, though, that case law has defined that "laws of nature, physical phenomena, and abstract ideas are not patentable subject matter."
Please Excuse My Dear Aunt Sally... PEMDAS P = parenthesis E = Exponent M = Multiply D = Divide A = Add S = Subtract In other words, order of operation as it is know in mathematics. So coming full circle to your question, parenthesis are typically reserved in equations force a portion of a calcuation to be completed before another, i.e. 1+2*3=7, while (1+2)*3=9. In the second equation, parenthesis are inserted to make sure the addtion is completed prior to the multipication. However, in the question you pose the answer would be the same. (11)^x = 11^x All that said, if the parenthesis in question in in a line of software code, most programs will only connect the term immediately before the carrot "^" as being raised to the power. So a program would read 11^x as 1*1^x instead of (11)^x, thus the need for the parenthesis.
I am not totally sure as I do not know if there are any parenthesis in your question, which would completely change it, but based on what you said: 3^2 = 9, 2 x 7 = 14, 14 + 9 = 23, 14 - 23 = -9 is your answer. To solve equations like this you merely use PEMDAS (parenthesis, exponent, multiplication, division, addition, subtraction) which is the order of operation in which you do the problem.
Whoever makes xkcd comics
Collinear slope.
postulate!... this is a "play on word" mathematical riddle... a postulate is really a geometric term, but it is being used as "post you late."
Yes, after you have paraphrased or included a quoted material in a research paper, you must put in parenthesis the original author. If you don't want to put it in parenthesis, you could include the author's name somewhere in your sentence before quoting or paraphrasing. Example: John Locke said: "Don't tell me what I can and can not do." or "Don't tell me what I can and can not do" (Locke).
Equations are said to be equivalent if they have the same solution. This definition also holds true in rational equations or equations involving rational expressions. For instance, the equations 2x = 14 and x - 3 = 4 are equivalent. Why? It's because they have the same solution, that is x = 7.
In mathematics, representation is a very general relationship that expresses a collection Y of mathematical objects may be said to represent another collection.
An inverse operation is an operation that undoes another operation. For example, addition and subtraction are inverse operations because adding a number and then subtracting the same number will result in the original value. Another example is multiplication and division.
Because the baby said polygon.
The pair of equations: x + y = 1 and x + y = 3 have no solution. If any ordered pair (x,y) satisfies the first equation it cannot satisfy the second, and conversely. The two equations are said to be inconsistent.