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An inequality is said to be sharp if it cannot be relaxed and still be valid in general. Formally, a universally quantified inequality φ is called sharp if, for every valid universally quantified inequality ψ, if ψ ⇒ φ holds, then ψ ⇔ φ also holds. For instance, the inequality ∀a ∈ R. a 2 ≥ 0 is sharp, whereas the inequality ∀ ...
In finance, the Sharpe ratio (also known as the Sharpe index, the Sharpe measure, and the reward-to-variability ratio) measures the performance of an investment such as a security or portfolio compared to a risk-free asset, after adjusting for its risk.
The metric tensor (,) induces duality mappings between vector fields and one-forms: these are the musical isomorphisms flat ♭ and sharp ♯.A section () corresponds to the unique one-form ♭ such that for all sections (), we have:
Sharpened metal drop-point blade Naturally occurring sharp obsidian piece Shark tooth with a sharp, serrated edge A sewing needle comes to a sharp point. Sharpness refers to the ability of a blade, point, or cutting implement to cut through materials with minimal force, and can more specifically be defined as the capacity of a surface to initiate the cut. [1]
Pyramid power is the belief that the pyramids of ancient Egypt and objects of similar shape can confer a variety of benefits. Among these supposed properties are the ability to preserve foods, [1] sharpen or maintain the sharpness of razor blades, [2] improve health, [3] function "as a thought-form incubator", [4] trigger sexual urges, [5] and cause other effects.
With home prices still on the rise in every region of the U.S., 63% of homeowners say they'd rather remodel their homes than move to renovated homes, according to an October survey by Clever Real...
Because large, sharp glass shards would present additional and unacceptable danger to passengers, tempered glass is used so that if broken, the pieces are blunt and mostly harmless. The windscreen or windshield is instead made of laminated glass , which will not shatter into pieces when broken while side windows and the rear windshield have ...
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