a / b = c if c is the smallest cardinal such that a can be written as a disjoint union Ub of c-sized sets. Well, then you get ZERO! I'm pretty sure you can define division on cardinals, though it would be pretty trivial in most cases. Did McCracken make that monolith in Utah? Still have questions? For those who say NO, do you think you will give the answer "doesn't exist"? Informally, it is a function representing an infinitely sharp peak bounding unit area: a function δ(x) that has the value zero everywhere except at x = 0 where its value is infinitely large in such a way that its total integral is 1. the answer to those problems gives that the equation approaches that number. Informally, it is a function representing an infinitely sharp peak bounding unit area: a function δ(x) that has the value zero everywhere except at x = 0 where its value is. Set Theory, Logic, Probability, Statistics, Secrets behind 'Game of Thrones' unveiled by data science and network theory, Novel method for measuring spatial dependencies turns less data into more data, Interactions within larger social groups can cause tipping points in contagion flow, http://en.wikipedia.org/wiki/Dirac_delta_function, Multiplying or dividing an equation with variables, The undone effect/inverse. $\infty$ is a mathematical concept, but is not a number. However, when they have dealt with it, it was just a symbol used to represent a really, really large positive or really, really large negative number and that was the extent of it. During its 23 years, it was the most widely used format for floating-point computation. You can but you will still get zero. Inverse image? Actually no you can't since infinity is not a specified integer. What about just using the indirect image? You can sign in to vote the answer. If the area of a rectangular yard is 140 square feet and its length is 20 feet. How do you think about the answers? No, it may be for all regular infinite cardinals. Infinity is a concept, the idea that using a process such as counting never ends, that you can always keep going in a direction. Section 7-7 : Types of Infinity. It is just the opposite of multiplying zero with anything. Infinite many times of something just gives infinity. Multiply to divide, plus to minus, Multiplying and dividing real and complex numbers. It is just you will still get infinite value. Can science prove things that aren't repeatable? In terms of limits, as a limit of an expression, certain operations can be observed. Try looking up "cardinal arithmetic", and see if that helps you. So the answer will be infinity. tiny-tim, I see no mention of "multiplying by infinity" on the page. One positive integer is 7 less than twice another. Infinity divided by infinity is infinity (not 1). This is the definition of undefined. Find its width.? You will learn that if you take number theroy classes which I have taken plenty. No, because infinity is not a number, its a concept. If you multiply infinity * infinity = infinity still. $\infty$ is a mathematical concept, but is not a number. Somehow, it is an indicator that an evaluated expression is going very very big. fundamentally, we add, subtract, multiply, and divide numbers. There is no such thing as "infinity squared". If you multiply infinity * infinity = infinity still. It is an idea. It depends on what you mean by "infinities". my taste is to prefer some meaning to no meaning! Yes, I know that you can use limits to know where they are approaching. =). Another way of looking at this is that no one can EVER finish multiplying zero times infinity, therefore the answer will always be undefined. Yes you can. Then you can have, Oh good, then maybe you can do something with. Infinity to the power of any positive number is equal to infinity, so $\infty ^{2}=\infty$ $\frac{6\infty }{3\cdot \infty ^{2}}$ Any expression multiplied by infinity tends to infinity After all, any number subtracted by itself is equal to zero, however infinity is not a real (rational) number. I'm not sure what you mean by "indirect image". Preimage? probably not infinity is the highest you can go, did u know that u can divide infinity by 0? P.S: People, don't just keep giving random thumb downs and ups like idiots if you don't know sh*t. No. Or something to that effect. The reciprocal of a zero limit is the infinite limit. For singular cardinals, it is non-trivial. Add, subtract, multiply and divide uncertainties in measurement. Infinity and undefined numbers stand alone. If you multiply an infinite limit with a zero limit, then that is the case we call an indeterminate limit. For those who say NO, do you think you will give the answer "doesn't exist"? Properties of Infinity Addition with Infinity Infinity Plus a Number Infinity Plus Infinity Infinity Minus Infinity Multiplication with Infinity Infinity by a Number Infinity by Infinity Infinity by Zero Division with Infinity and Zero Zero over a Number A Number over Zero A Number over Infinity Infinity over a Number… fundamentally, we add, subtract, multiply, and divide numbers. Infinity only has its use in calculus to describe how a graph behaves. So, zero times infinity is an undefined real number. I am going to prove what infinity minus infinity really equals, and I think you will be surprised by the answer. When these appear in the answers or problems, they pretty much dominate the answer. its fact, i learned it in the circuit. Explicitly put, there is no answer for: If a and b are two infinite cardinals, then ab = max{a,b} and a+b = max{a,b}, assuming the Axiom of Choice. So, if you have inifinity * 2, you will get twice of the inifinity that you have and you will still write "infinity". And while physicists mgiht think of the delta function as involving "infinity", no mathematician would! IEEE 754-1985 was an industry standard for representing floating-point numbers in computers, officially adopted in 1985 and superseded in 2008 by IEEE 754-2008, and then again in 2019 by minor revision IEEE 754-2019. In all seriousness, it depends on precisely what meaning you choose for each of the words "divide", "multiply", "add", "subtract", and "infinity". Anything divided by infinity is zero, as well. An infinite limit multiplied by a nonzero number or a nonzero limit will result in another infinite limit depending on the sign of the two limits. For a better experience, please enable JavaScript in your browser before proceeding. What do you call the set $f^{-1}(X)=Y$ with $y\in Y \Leftrightarrow f(y)\in X$? one must know infinity is a symbol not a number, if 2.infinity=infinity then u get 2=infinity/infinity=1, so dont do mathematical operations with infinity, if infinity+infinity=infinity then you get infinity=0, so u should not do multiplication with infinity as infinity is not a number only a symbol. What does Infinity Minus Infinity Equal? I don't think so, because the result exists but it is too big to measure and it is too big to represent with a number. 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Bidmas (brackets; indices; divide/multiply; add/subtract), Add, sub, multiply, and dividing w/ fractional exponents & radicals. Not really. Strictly speaking.of course, the delta function is not a function, but something called a distribution.