Infinity divided by any finite number is infinity. Here are the rules: 1. Infinity divided by a finite number is infinite (I / f = I); 2. Any finite number divided by infinity is a number infinitesimally larger than, but never equal to, zero (f / I = 1 /
What is positive infinity divided by negative infinity? x and y are positive integers, and x^3= 24y. What is the least possible value of x+y? Does the square root of something make a negative and positive answer? The difference between two positive numbers is 9. If four times the larg...
As in all previous posts in this series, we adopt the following asymptotic notation: is a parameter going off to infinity, and all quantities may depend on unless explicitly declared to be “fixed”. The asymptotic notation is then defined relative to this parameter. A quantity is said to be...
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where is the field (ii) (Odd symmetry) We assume that and , so that . A model example of a divergence-free vector field obeying these properties (but without good decay at infinity) is the linear vector field which is of the form (3) with and . The associated vorticity vanishes....
A whole number is a type of number that represents a complete quantity or counting number without any fractional or decimal parts. It includes all positive numbers starting from zero and extends indefinitely to infinity. In other words, a whole number is any non-negative integer, including zero...
What axiom allows infinity? What are __Going Down Theorem__ and __Going Up Theorem__? Use quantifiers to make the following true, where n is a natural number: n 2 = 16 Use quantifiers to make the following true, where n is a natural number: 4 n + 8 n = 12 n ...
combinations to play out. As another philosopher named Gottfried Wilhelm Leibniz put it, “Everything possible has an urge to exist.” When we think about this from the perspective of infinity, which is from no perspective at all, it is possible for us to think in all possible directions ...
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Unfortunately we barely miss a full solution of both parts of the problem, since the condition we need just fails to cover the case , and also does not quite hold for all sequences going to infinity at an exponential or slower rate. We also show the following variant; if has ...