Sentence examples for dimension up to from inspiring English sources

Zariski had shown earlier that this was true for varieties with dimension up to three.

It provides a computable procedure for processes of dimension up to 5 × 5.

The government's decision also has a racial dimension: up to 75% of black people are lactose intolerant, along with large swaths of Arabs and Ashkenazi Jews.

A ΔJeff-based crack growth law is integrated from a starting crack size of micro-structural dimension up to the total fracture of the component.

This gave us the possibility of performing large benchmark calculations, with a Full-CI space dimension up to almost ten billion of symmetry-adapted Slater determinants.

Finally, the proposed PSO combined with FUSS and RWS is applied to seven famous high dimensional benchmark with the dimension up to 3000.

The product exhibited the shape of crinkled films and extended in two dimensions up to centimeters.

These methods would allow the production of samples of graphene that were macroscopically large in two dimensions (up to tens of centimetres) but still atomically thin.

Anodizing of the brass foil in alkaline media resulted in the formation of copper and zinc oxide nanostructures (CuO, ZnO) with dimensions up to 100 nm.

Crystals of barium titanate (BaTiO3), with linear dimensions up to ˜ 2 mm., have been produced from solutions in carbonates and chlorides, and (when pure) are hard, clear, pale yellow in colour, and of cubic external symmetry.

He applied his mouth to the pipe, and puffed to such purpose that the vitreous ball swelled and swelled nearly to the required dimensions, up to it, beyond it.