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A root neighborhood (or pseudozero set) of a degree-n polynomial p z) is the set of roots of all polynomials p̃ z) whose coefficients differ from those of p z), under a specified norm in Cn+1, by no more than a given amount ε.
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In the case of a weighted infinity norm, root neighborhoods are bounded by generalized lemniscates (algebraic curves of degree 4n).
The agency, which was once seen as a model for grass-roots neighborhood redevelopment, has struggled in recent years, and some former employees and board members have expressed concern about its management practices.
In particular, we extend the concept and the properties of root-neighborhoods from polynomials to secular functions, provide perturbation results of the roots, obtain an effective stop condition for the EA iteration and guaranteed a posteriori error bounds.
Unlike most of the 1,200 people arrested just after the terror attacks -- single men picked up on the basis of investigative leads -- the absconders include people with established community roots: the neighborhood grocer, families with schoolchildren, and, as with Naim Shahab, the spouses or parents of American citizens.
If you have roots in neighborhood New York, this is the pastrami sandwich you grew up with if you were lucky enough to have an outstanding deli in your neighborhood, and if you don't have New York neighborhood roots, this is the sandwich you missed, the sandwich that once was.
The homelessness problem's reach can be seen in the clusters of tents, tarpaulins and shopping carts that have spread far beyond downtown's skid row, taking root in neighborhoods from Studio City to Highland Park.
"Violence undermines all other efforts to help distressed communities thrive -- we must turn the tide on violence if better education, community development, job creation and health promotion is to take root in neighborhoods that need them the most," Hardiman wrote.
The latter of these, locational dimensions of housing, provides a segue into a discussion of the roots of neighborhoods and health research, as well as the attributes of neighborhoods believed to be related to health.
"We've made early investments in battleground states to grow strong roots in neighborhoods across the country and keep an open conversation going with undecided voters for months," said Adam Fetcher, a spokesman for Mr. Obama's campaign.
Streets that formerly housed generations of families look nothing like they did a decade ago as neighborhoods become gentrified and generations loose their root in the neighborhood.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com