The phrase "appreciably different from zero" is correct and usable in written English.
It can be used in contexts where you want to indicate that a value or measurement is significantly different from zero, often in scientific or statistical discussions.
Example: "The results showed that the mean difference was appreciably different from zero, indicating a significant effect."
Alternatives: "significantly different from zero" or "notably different from zero."
Suppose that a localization occurs around h; the state after the hitting is then appreciably different from zero only in a region around h itself.
If some process tends to produce such superpositions, then the reducing dynamics induces the localization of the centre of mass (the associated wave function being appreciably different from zero only in a narrow and precise interval).
The latter concerns a completely different situation, i.e., that in which one is confronted with a superposition with comparable weights of two macroscopically separated wave functions, both of which possess tails (i.e., have non-compact support) but are appreciably different from zero only in far-away narrow intervals.
The direction of the regression coefficients was opposite that seen in the girls' analyses, although their magnitudes were not appreciably different from zero.
The magnitudes of the estimated regression coefficients were small compared with those observed among girls and not appreciably different from zero in most situations.
Additionally, the four tetranucleotide microsatellites with three STRs in chimpanzees but two STR regions in humans had He in chimpanzees that were not appreciably different from the 10 microsatellites with two tetranucleotide STR regions (RDM = 0.952, P = 0.635).
Nor are the two Republicans appreciably different from Democrats on some of the big questions.
Unlike other purported herding dinosaurs (especially hadrosaurs and ceratopsids), there is no evidence that Iguanodon was sexually dimorphic, with one gender appreciably different from the other.
Estimates calculated using a subset of 92 cases interviewed within two years of diagnosis were not appreciably different from those calculated using the full case sample, suggesting that inclusion of cases with longer follow-up did not contribute to differential recall (results not shown).
While some might expect that older communities would be wealthier, in six of the ten counties, the median age is between 37 and 39, not appreciably different from the national median of 37.8.
CYTB sequences obtained from copepods collected two years apart from the SCN, AB2, and LJP sites were not appreciably different from one another within a site (results not shown).
