Finite element simulation of the time-dependent wave propagation in infinite media requires enforcing the transmitting boundary to replace the truncated far-field infinite domain so as to model the effect of the wave radiation towards infinity.
In principle, any finite set can be defined by an explicit list of its members, but specifying infinite sets requires a rule or pattern to indicate membership; for example, the ellipsis in {0, 1, 2, 3, 4, 5, 6, 7, …} indicates that the list of natural numbers N goes on forever.
It is also well known that an infinite reflux requires a minimum number of transfer units between distillate and bottoms composition.
The grandeur of "2001" — the product of two men, Clarke and Kubrick, who were sweetly awestruck by the thought of infinite space — required, in its execution, micromanagement of a previously unimaginable degree.
Notice that most of the papers on this subject assume Ω infinite, hence requiring τ m = ∞.
Because we measure a specific amount of cosmic blackbody radiation in the background radiation, we infer that a closed (oscillating) universe can have undergone only a finite number of repeated bounces" or cycles, no more than 100 and certainly not the infinite number required for a beginningless series.
One critical challenge in small molecule discovery is that the chemical space is infinite, thereby requiring high throughput screening for speed and bioassays that are of sufficient specificity and sensitivity to distinguish active small molecules from background noise.
If a law is a truly exact mathematical relationship, it requires infinite information to specify it.
I know good work requires infinite patience, but some days I think I'm not getting anywhere at all.
The truth in this objection is the following: an economy that requires infinite growth to be healthy will be harmed in a world of finite resources.
