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upper-bound vs upper bound

Both "upper-bound" and "upper bound" are correct, but their usage depends on the context. "Upper-bound" is commonly used as a compound adjective to describe a limit or maximum value, while "upper bound" is used when referring to a boundary or limit without the hyphen.

Last updated: March 23, 2024 • 632 views

upper-bound

This is correct and commonly used in English as a compound adjective.

Use "upper-bound" when you want to describe a limit or maximum value, such as an upper-bound estimate or an upper-bound threshold.

Examples:

  • The upper-bound estimate for the project cost is $10,000.
  • There is an upper-bound limit on the number of participants for the event.
  • Expressing the analytical result as an upper-bound level would already result in some cases in a level close to the maximum level even if no PCBs have been quantified.
  • However, it is not possible to set lower maximum levels taking into account the sensitivity of currently available methods of analysis and the fact that the maximum levels are established as upper-bound levels.
  • The lot does not comply with the specification if the upper-bound analytical result confirmed by duplicate analysis exceeds the maximum level laid down by Directive 2002/32/EC, taking into account the measurement uncertainty.
  • The lot does not comply with the specification if the upper-bound analytical result obtained with a confirmatory method and confirmed by duplicate analysis exceeds the maximum level laid down by Directive 2002/32/EC, taking into account the measurement uncertainty.
  • The difference between upper-bound level and lower bound level shall not exceed 20 % for foodstuffs with a contamination of about 1 pg WHO-TEQ/g fat (based on the sum of PCDD/Fs and dioxin-like PCBs).
  • upper-bound concentrations are calculated assuming that all values of the different congeners less than the limit of determination are equal to the limit of determination.
  • Upper-bound concentrations; upper-bound concentrations are calculated on the assumption that all values of the different congeners below the limit of quantification are equal to the limit of quantification.
  • The concept of "upper-bound" requires using the limit of quantification for the contribution of each non-quantified congener.
  • The concept of "upper-bound" requires using the limit of quantification for the contribution of each non-quantified congener to the toxic equivalent (TEQ).
  • 'Upper-bound' means the concept which requires using the limit of quantification for the contribution of each non-quantified congener.
  • The median ROS of 3,48 % or the upper-bound ROS of 6,77 %.
  • For lower contamination levels, for example 0,5 ng WHO-TEQ/kg product, the difference between upper-bound and lower-bound level may be in the range of 25 % to 40 %.
  • by adding, for each of the other underlying funds, the subscription and redemption fees plus the best available upper-bound assessment of TER-eligible costs.

Alternatives:

  • maximum limit
  • ceiling value
  • top boundary
  • highest possible value
  • maximum threshold

upper bound

This is correct and commonly used in English when referring to a boundary or limit without the hyphen.

Use "upper bound" when you want to refer to a boundary or limit, such as an upper bound on the number of characters in a text field or an upper bound on the cost of a project.

Examples:

  • There is an upper bound on the number of characters allowed in the text field.
  • The team set an upper bound on the cost of the renovation project.
  • This level should normally be set above the upper bound referred to in paragraph 27 for Tier 1 capital instruments.
  • This level should normally be set above the upper bound referred to in paragraph 27 for Tier 1 capital instruments [24].
  • (including the upper bound to the impact of the guarantee)
  • In all cases, even incorporating all the possible effects of the guarantee in dealings with customers and suppliers, the upper bound to the intensity of the aid remains well within the maximum permissible.
  • 500 pg I-TEQ/kg (upper bound detection limit)
  • Of the 806 infusions administered in patients enrolled in both studies 10.8% (1-sided 95% CI upper bound = 12.9%) were associated with an adverse event suspected to be related to the product.
  • That comparator set shows a median ROS of 7,4 % for the period 1998-2007 and a third-quartile ROS of 12 % as upper bound for reasonable profit.
  • The value u2σ is the upper bound of the 2σ confidence interval of the maximum resultant induced air speeds in the x-y platform plane.
  • The average upper bound is 11,7 % and the average lower bound is 6,1 %.
  • Compared with the December 2006 Eurosystem staff projections, the upper bound of the range projected for inflation in 2007 is somewhat lower, largely reflecting the fall in oil prices.
  • The value Δp2σ shall be the upper bound of a 2σ interval of (pmax - pmin) based on at least 10 independent and comparable test samples (at a certain measuring height) with ambient wind speeds of less than or equal to 2 m/s.
  • In the ECB staff macroeconomic projections of March 2007, the upper bound of the range projected for inflation in 2007 was somewhat lower than in the Eurosystem staff projections of December 2006, largely reflecting the significant decline in oil prices.
  • Upper bound [215](insurance premium)
  • Upper bound to the impact of the guarantee in dealings between IFP and its suppliers
  • CI = confidence interval, OS = overall survival time, a '+ 'denotes that the upper bound limit had not been reached at cut-off
  • Concerning the return on assets, the WIK study shows a median ROA of 7,33 % and an upper bound of 13,41 %.
  • Given the information at the Commission's disposal, one can therefore consider that the expected cash flows presented in the 2004 business plan represented an upper bound [31].
  • Therefore the Commission considers that a maximum rate of 5 % of the turnover generated by the service covered is in any case an upper bound to the premium which would be necessary to cover such a risk.
  • However, the WIK study not only presents the median return but also an upper bound for the reasonable profit, e.g. the third quartile of the comparable competitors' profit which amounts to a ROS of 6,77 %.
  • [10] For this estimate the intermediate bound was taken for contamination, while the upper bound was taken for the other threats, see section 2.6.2 in the impact assessment. -

Alternatives:

  • maximum limit
  • ceiling value
  • top boundary
  • highest possible value
  • maximum threshold

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