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The transformation between Q and X does not preserve the length minimizing property.
Next we use the minimizing property of l z 0, θ ρ / 2 (4.11).
By the minimizing property of x ˜ and since ∥ ⋅ ∥ 2 is continuous and increasing in [ 0, ∞ ), we have lim sup i → ∞ ∥ x n i − x ˜ ∥ 2 ≤ lim sup i → ∞ ∥ x n i − x ˜ − t x ∥ 2 ≤ lim sup i → ∞ ∥ x n i − x ˜ ∥ 2 + 2 t lim sup i → ∞ 〈 x, x ˜ + t x − x n i 〉.
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One of the ideas behind such charges is that they can minimize property damage around a suspected car bomb.
Two case histories involving the basic element of plant layout to minimize property damages and injury will be covered first.
This addition to the company's portfolio of healthcare solutions is formulated to eliminate colour shift and minimize property reductions in medical polymers after devices are sterilized.
Specifically, polymerizable derivatives of traditional antibiotics may allow for direct polymerization into existing materials such as PMMA bone cement while minimizing mechanical property compromise.
Challenges can be taken to disperse nanotubes in the right way without minimizing its properties.
Ms. Newman and her boyfriend and co-manager, Gee Cartier, go to great lengths to minimize the property's environmental impact, sourcing about 95 percent of Rainbow Lodge's power from solar panels and supporting Cambodian-made products like biodegradable handmade soaps and locally harvested honey.
To minimize the property of the numerical instability, the ghost nodes should be chosen symmetrically.
To minimize the property of numerical instability, the ghost node is chosen symmetrically.
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