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An Improved Inequality for Balanced Incomplete Block Designs
For a resolvable balanced incomplete block design (BIBD), Bose (1942) obtained an inequality $b \geqq v + r - 1$. Stanton (1957) showed that this inequality is equivalent to an inequality $r \geqq \lambda + k$. The main purpose of this note is to improve Bose's inequality to $b \geqq 2\nu + r - 2$ for a resolvable BIBD which is not affine resolvable.
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BackgroundWith the overwhelming availability of online health information and high prevalence of health misinformation, it is vital to understand the status and key influencing factors of its use among individuals.
Dan Wang +8 more
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Improved inequalities for balanced incomplete block designs
AbstractIt is known that there are some lower bounds for the number of blocks in a balanced incomplete block design (BIBD). Especially, Fisher's inequality b⩾v is well-known for a BIBD with parameters v, b, r, k and λ. Fisher's inequality can be improved upon if one puts additional restrictions on a BIBD.
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Heritage cities face increasing pressures from rapid urbanization, tourism growth, and climate risks, creating an urgent need for approaches that protect cultural and architectural values while supporting sustainable development.
Duy Thinh Do
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Evaluation of a BIBD Based Directional MAC Protocol for Wireless Ad Hoc Networks
The use of directional antennas in wireless ad hoc networks can significantly improve global performance due to a high spatial channel reuse. Nevertheless, its introduction poses new location dependent problems related to the MAC protocol.
Gennaro Boggia +3 more
doaj
Background Shared decision‐making (SDM) is a patient‐centred approach to improve the quality of care. An essential requirement for the SDM process is to be fully aware of patient information needs. Objectives Our study aimed to assess patient information
Tongling Xie +6 more
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Experimental Designs for Preclinical Neuroscience Experiments: Part 2-Blocking and Blocked Designs. [PDF]
Reynolds PS.
europepmc +1 more source
Profile-guided Hybrid Approach for block-wise missing data handling in multi-omics: a breast cancer case study. [PDF]
Abdelaziz EH +3 more
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A Balanced Incomplete Block Design
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