Sentence examples for on a equivalent from inspiring English sources
Let A⊂Rd, d⩾2, be a compact convex set and let μ="ϱ0dx be a probability measure on A equivalent to the restriction of Lebesgue measure.
There exists a norm ∥ ⋅ ∥ 1 on A, equivalent to the given norm ∥ ⋅ ∥, such that the cone P is monotone with respect to ∥ ⋅ ∥ 1, i.e., if θ ⪯ x ⪯ y, then ∥ x ∥ 1 ≤ ∥ y ∥ 1. Proof See [2 4], and [5].
(d) There exists a norm ∥ ⋅ ∥ 1 on A, equivalent to the given norm ∥ ⋅ ∥, such that the cone P is monotone with respect to ∥ ⋅ ∥ 1, i.e., if θ ⪯ x ⪯ y, then ∥ x ∥ 1 ≤ ∥ y ∥ 1. . inf { ∥ x + y ∥ : x, y ∈ P, ∥ x ∥ = ∥ y ∥ = 1 } > 0. P is a normal cone.
By the time of the third, The Last Bright Light (2001), Faulds had gone, Angela Goldthorpe's flute taking on an equivalent role.
Lloyds TSB, for instance, paid 2.25 percentage points above the interest rate on an equivalent government bonds.
HS2 will cost more than five times the amount being spent on an equivalent high-speed rail line in France, a group of transport experts has claimed.
However, if the consumption of gas approaches that of oil on an equivalent basis, it too will be short-lived as a major energy resource.
They could then use the dipiao to build on an equivalent area of rural land in a place approved for urban development.
The Bank of England predicts the games could boost GDP by 0.2% in the third quarter, based on an equivalent bump during the Sydney Olympics in 2000.
Combined with today's low interest rates, that ratio means that the typical monthly mortgage payment is several hundred dollars lower than the rent on an equivalent house.
He said that instead of cutting its mortgage rate by 0.1 of a point, as other institutions have done, Standard had decided to pass on an equivalent reduction to its savers.
