Locally

Equivalently, if X is a locally compact metric space, then f is locally Lipschitz if and only if it is Lipschitz continuous on every compact subset of X. In spaces that are not locally compact, this is a necessary but not a sufficient condition.

In particular, any continuously differentiable function is locally Lipschitz, as continuous functions are locally bounded so its gradient is locally bounded as well.

And that means they will choose to buy locally and eat locally.

She said the number of people tested locally is not known by the Health Department and that King’s Daughters’ Hospital has conducting most of the tests locally and continues to conduct tests daily.

The source further stated that Kalu was arrested with one locally made pistol with four rounds of live ammunition, and Kufre had two locally made pistols and five rounds of 9 MM live ammunition during his arrest.

We source 100 per cent of maize for Golden Morn locally; Soya, millet, sugar, salt and cocoa are also locally-sourced.

The Kenneth Ize brand takes a sustainable approach to the design by using locally-sourced materials locally and ensuring a fair and safe working space for all workers and artisans, one that encourages collaboration and births magic.

These low-cost national chain stores rarely offer fresh and healthy food choices yet have hurt business at locally owned groceries, markets and stores, sometimes to the extent that the locally owned and operated stores have closed.

A coffee house and wine bar featuring musical entertainment, The Local Blend serves up locally grown and locally produced organic coffees, baked goods, and other refreshments.

Best Locally-owned Coffee Shops In DetroitCheck out this list for the best locally-owned coffee shops in the Detroit area.

They are producing locally, and shopping locally.

What a total disaster to lose 400+ jobs locally and no industry locally to accommodate the newly unemployed.

A σ-locally finite base is a base which is a union of countably many locally finite collections of open sets.

However, an arbitrary product of locally compact spaces where all but finitely many are compact is locally compact (This condition is sufficient and necessary).

Locally cyclic groups main A locally cyclic group is a group in which each finitely generated subgroup is cyclic.

Many acts and ordinances were passed in the first decades of the colony, but lack of funds and parochialism (the desire to spend locally raised money locally, rather than use it to link different provinces) hindered the growth of the road network.

Many local businesses were commemorated in a special edition of the card game Happy Families produced locally in 1987, citation created to raise funds locally.

Non-Hausdorff examples * The one-point compactification of the rational numbers Q is compact and therefore locally compact in senses (1) and (2) but it is not locally compact in sense (3).

Region of convergence If f is a locally integrable function (or more generally a Borel measure locally of bounded variation), then the Laplace transform F(s) of f converges provided that the limit : exists.

Rough-outs were made locally near the quarries, and some were polished locally to give a fine finish.