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This scheme, along with its generalization to many dimensions, will be studied in future work.
Accordingly, a new question naturally arises: How many dimensions will be sufficient to carry the information contained in the cascade data?
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He recommends looking at many dimensions that will be affected by a solution such as reduction of cost, mitigation of risk and potential for increased revenue.
Too many toleranced dimensions will increase significantly the manufacturing costs and may result in "tolerance clash," where a dimension derived from other toleranced dimensions can have several contradictory values.
"This is one of many dimensions on which we'll have to adjust to a reduction in American ability to dictate terms of core interests of ours," said Yochai Benkler, co-director of the Berkman Center for Internet and Society at Harvard.
If you've ever tried to channel the memory of a life in all its complexity, beauty, many dimensions and details, you'll appreciate this stunning tribute by illustrator and animator Gemma Gemma-Hope.
The EU says it will increase its aid to Turkey, but tackling the many dimensions of this country's crises will require more than money.
Our interest in understanding the many dimensions of human-induced climate change will lead to many studies that illuminate novel aspects of observed climate change, such as the work by Polovina et al. and Seidel et al. As intriguing as such results will be, an appropriate caution regarding short time series remains in order.
If there is such a thing as free will, it has many dimensions.
Progress will come in many dimensions, furthering aerospace and industrial technology shares that comprise highly attractive investment vehicles in playing the global rebound.
"Trust has many dimensions, I don't know if it's true that the system that will be developed will be secure and natural, people will feel comfortable enough to use it.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com