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May
7
comment What is the difference between the domain of a variable and the domain for an equation?
Equations, on the other hand, are said to have a solution set consisting of all the values of the variable(s) that turns the open sentence into a true statement, these are all the values that satisfy the sentence.
May
7
comment What is the difference between the domain of a variable and the domain for an equation?
A variable in an equation can be replaced by any of the numbers in the variable's domain. The resulting equation may be either true or false. Alternatively, replacing each variable in an open sentence by each of the values in the variable's domain is a way to find solutions of the open sentence. Here is another way to show that the domain of a variable y is {1, 2, 3, 4}: y $\in$ {1, 2, 3, 4} Read "y belongs to the set whose members are 1, 2, 3, and 4." Again alternatively, this could be read "What y can be replaced by belongs to the set whose members are 1, 2, 3, and 4."
Apr
27
comment role of definitions in proofs
Definitions do not, as you say, "define objects." Instead, as any dictionary shows, they define the words we use for objects. Where they come from would be a matter of accepted convention.
Apr
24
comment Could somebody please help me prove this using the properties of real numbers introduced in elementary algebra?
Is it logically correct to state "1 is its own reciprocal because 1 * 1 = 1." And to prove this by the identity property of multiplication: a * 1 = a? Given that we know, by definition, reciprocals are two numbers whose product is 1.
Apr
24
suggested rejected edit on Could somebody please help me prove this using the properties of real numbers introduced in elementary algebra?
Apr
24
comment Is an empty parenthesis a valid mathematical expression?
Short answer: no.
Apr
24
comment Could somebody please help me prove this using the properties of real numbers introduced in elementary algebra?
In the equation 1/1 = 1 the right hand side is called a fraction in simplest form. Does that mean all the integers are fractions in simplest form? But a ratio in simplest form must be n/1 for n = integer?
Apr
23
revised Infinity isn't a Number
deleted 1 character in body
Apr
23
accepted Infinity isn't a Number
Apr
23
revised what is the definition of Mathematics ?
added 52 characters in body
Apr
23
revised How to simplify this square $(3 \times 4 + 2)^2$?
added 115 characters in body
Apr
23
revised what is the definition of Mathematics ?
added 53 characters in body
Apr
20
comment Finding all possible pairs of positive integer values
But, if x is equal to y the ratio is undefined.
Apr
20
comment Finding all possible pairs of positive integer values
Why do you put the "equal to" into your condition: Assume x >= y?
Apr
19
revised Finding all possible pairs of positive integer values
edited tags
Apr
18
asked Finding all possible pairs of positive integer values
Apr
16
comment How would multiplying money work?
But if that meal has a negative nutritional value "imagine" the complexities ;-)
Apr
2
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Mar
20
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Mar
16
awarded  Necromancer