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  • Julie Harland
  • MiraCosta College

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Let U = {a, c, e, m n, r, u, v, w, x, z} with subsets A , B , C and D defined below: A = {m, n, r, u, x} B = { a, c , r, u, x} C = {e, v, w, x, z } D = {a, c, z} Using correct notation, find the following, show all work

Let U = {a, c, e, m n, r, u, v, w, x, z} with subsets A , B , C defined as follows:

Draw a Venn Diagram and place each element of the universe in the correct region

Use deMorgan's Laws to rewrite each of the following:

Use the distributive properties of sets to rewrite each of the following:

A survey was given to determine which of the three beverages (tea, milk and/or coffee) people drank each day. The results were as follows:

Take out your A–blocks and arrange them into subsets so that each subset only contains elements that have the same size and color.

Let A , B and C represent any sets. Answer True or False for the following statements. In order for a statement to be true, it must always be true. For each False statement, give an example of why it is False.

Draw a Venn diagram and shade in the region that represents the following

Identify the shaded area of each Venn diagram by set notation.

List all possible subsets for each set given.

Let A = {1, 2, 4}, B = {(a, c), 5} and C = {x}. Find the following:

Use your A–blocks to do this problem. Let X represent the set of large circles and Y represent the set of red circles. Using set notation and abbreviations, find the following:

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enVision MATH Common Core 2.0 Student Edition V2, Grade: 5 Publisher: Pearson Education, Inc.

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Polynomial Functions Homework (Algebra 2 - Unit 5)

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Polynomial Functions & Equations Homework Bundle:

This resource is a bundled set of homework practice sets and daily content quizzes for Unit 5: POLYNOMIAL FUNCTIONS & EQUATIONS designed for Algebra 2 Honors students. The file includes 27 pages of homework assignments and two different forms of a daily content quiz that you can use as a homework check, group work, or exit tickets.

The unit includes the following topics:

1) Polynomial Functions

2) Polynomials, Linear Factors, and Zeros

3) Solving Polynomial Equations

4) Dividing Polynomials

5) Theorems About Roots of Polynomials

6) The Fundamental Theorem of Algebra

7) The Binomial Theorem

8) Polynomials in the Real World

9) Transforming Polynomials

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Home > CCA2 > Chapter 5 > Lesson 5.2.5

Lesson 5.1.1, lesson 5.1.2, lesson 5.1.3, lesson 5.2.1, lesson 5.2.2, lesson 5.2.3, lesson 5.2.4, lesson 5.2.5.

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Indianapolis 500 practice schedule, qualifying start time, TV, streaming

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It's May, and that means the IndyCar Series is at Indianapolis Motor Speedway. With the road course race complete, attention turns to the 108th Indianapolis 500 , scheduled for Sunday, May 26. But there's a lot of activity on the 2.5-mile oval before then. Here's what's going on at the track.

Indy 500 practice, qualifying schedule

All sessions will be on Peacock , IndyCar Live, IndyCar Radio and SiriusXM Channel 218 ; all times ET 9

May 14, Tuesday

9:15-11:15 a.m. : Indy 500 veterans practice

1-3 p.m. : Indy 500 refresher

3-6 p.m. : Indy 500 full field practice

May 15-17, Wednesday-Friday

Noon-6 p.m. : Indy 500 full field practice

May 18, Saturday

8:30-9:30 a.m. : Indy 500 full field practice

11 a.m.-6 p.m. : Indy 500 qualifying

May 19, Sunday

Noon-2 p.m. : Indy 500 practice

3-6 p.m. : Indy 500 qualifying, also on NBC

Monday, May 20

1-3 p.m. : Indy 500 full field practice

Friday, May 24

11 a.m.-1 p.m. : Carb Day, Indy 500 full field practice

2:30-4 p.m. : Pit stop competition

Indy 500 practice, qualifying tickets

Practice tickets start at $20. Qualifying tickets start at $30. Buy tickets here .

More: Here are the key differences between F1 and IndyCar in 2024

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Times are ET for TV coverage

IndyCar Series points standings

(Through May 11)

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  • Best practice in myopia control: insights and innovations for myopia prevention and control – a round table discussion
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  • http://orcid.org/0000-0002-5721-6051 Yanxian Chen 1 , 2 ,
  • Andreas Mueller 3 ,
  • http://orcid.org/0000-0002-4548-3574 Ian Morgan 4 ,
  • Frank Larkin 5 ,
  • http://orcid.org/0000-0002-1257-6635 Yan Wang 6 ,
  • Junwen Zeng 7 ,
  • Mingguang He 1 , 2 , 7
  • 1 School of Optometry , The Hong Kong Polytechnic University , Hong Kong , Hong Kong SAR
  • 2 Research Centre for SHARP Vision (RCSV) , The Hong Kong Polytechnic University , Hong Kong , Hong Kong SAR
  • 3 Department of Noncommunicable Diseases , World Health Organization , Geneva , Switzerland
  • 4 Research School of Biology , Australian National University , Canberra , Australian Capital Territory , Australia
  • 5 Cornea and External Disease Department , Moorfields Eye Hospital NHS Foundation Trust , London , UK
  • 6 Tianjin Eye Hospital & Eye Institute, Ophthalmology and Visual Development Key Laboratory, Tianjin Medical University , Tianjin , China
  • 7 State Key Laboratory of Ophthalmology, Zhongshan Ophthalmic Center, Sun Yat-Sen University , Guangzhou , Guangdong , China
  • Correspondence to Professor Mingguang He, The Hong Kong Polytechnic University, Hong Kong, Hong Kong; mingguang.he{at}polyu.edu.hk

https://doi.org/10.1136/bjo-2023-325112

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  • Optics and Refraction
  • Child health (paediatrics)
  • Epidemiology

In August 2023, BJO and the Zhongshan Ophthalmic Center co-hosted a round table discussion on Best Practices in Myopia Control. This gathering provided a platform for the exchange of insights and discussion of evidence-based strategies to respond to the rapid increase in myopia prevalence. Participants from China, Hong Kong, the UK and Australia met in Guangzhou, China, to discuss the global status and challenges associated with myopia control (see the ‘Acknowledgements’ section for the list of panel members). The event included panel discussions on (1) prevention and public education for myopia control and (2) individualised myopia control. This report summarises the topics in myopia prevention and control discussed.

Prevention and public education for myopia control

Over the past 50 years, there has been a striking increase in the prevalence of myopia, raising questions about its causes and potential future impact. 1 Early data indicate that the advent of the COVID-19 pandemic and associated lockdowns has accelerated the myopia trend. 2 3 It is not clear whether a reduction in the time spent outdoors during lockdowns has led to longer-term behavioural changes favouring indoor lifestyles and hence impacted myopia prevalence.

Reduction of the impact of myopia centres on two crucial elements: education intensity and outdoor activities. Strategies that merely broadcast knowledge about myopia have shown limited effectiveness. Singapore’s efforts, including teacher training and promoting good eye care habits in schools, yielded marginal reductions in myopia prevalence. 5 Though the use of social media, such as WeChat messages, may result in some noteworthy reduction in myopia incidence, 8 9 this effect may be diminished by the effect of parental myopia. Compared with children with myopic parents, online family health education was more effective in children with non-myopic parents. A more compulsive strategy to increase time outdoors may be more effective. The Taiwanese school-focused strategy allocated 2 hours of supervised time, unlike in Singapore, during which children engaged in outdoor activities. It led to a significant decrease in the prevalence of myopia 4 and has generated an L-shaped decline after 10-year promotion of outdoor activities in kindergartens. 10

In China, safety concerns commonly arise in the implementation of outdoor activities during school hours. For instance, from 2016 to 2018 in Shanghai, an additional 40 min of outdoor activity classes was introduced to primary schools, but teachers expressed apprehensions about potential accidents when students were outdoors. However, experiences in Australia and Taiwan have shown that, with necessary safety measures such as teacher supervision and wearing hats, the risks associated with outdoor activities at school are minimal. An alternative solution considered for schools in China is to consolidate short 10 min breaks between classes into longer periods. Based on evidence from Taiwan, a clear implementation strategy led by the government coupled with an adapted education programme is likely to be a successful implementation of outdoor activities during school time.

Individualised myopia control

For children already affected by myopia, the primary focus is on controlling its progression. Myopia is a condition that physically alters the shape of the eye. The concept that every dioptre of myopia matters significantly holds true; even a one-diopre increase comes with a substantial 67% higher risk of myopic macular degeneration. 11 Consequently, reducing myopia by even one dioptre can be significantly beneficial. Myopia control encompasses a range of established interventions, including orthokeratology and low-dose atropine eye-drops. 12 The effect on myopia of atropine is recognised to be concentration-dependent and age-dependent, which itself exemplifies the individualisation of myopia prevention and control. A history of myopia in one or both parents is known to have a significant influence on development of myopia. Is ethnicity important? Comparatively few high-quality trials have been reported outside East Asia. One of the largest such trials from the USA, in which only 11% of children were East Asian, reported no benefit of atropine 0.01% drops in low to moderate myopia compared with placebo. 13

Additional emerging interventions, including defocus incorporated multiple segments spectacle lenses, 14 15 high-add power multifocal contact lenses, 16 spectacles with highly aspherical lenses 17 and repeated low-level red light (RLRL) therapy, 18 19 are showing promise. These diverse interventions offer hope for effective myopia control.

However, it is important to acknowledge that available interventions come with their own advantages and disadvantages. For instance, specially designed spectacles may have limitations related to wearing time and the patient’s age. 14 15 The use of orthokeratology demands comprehensive support from both clinics and parents. RLRL, although effective with a low rate of complications, carries the potential risk of retinal damage that necessitates close monitoring. Thus, success in myopia control lies in individualisation, recognising that different parents have varying requests, capabilities and expectations. For young children or those with highly myopic parents, a more robust intervention may be advisable, such as a higher concentration of atropine drops, a greater magnitude of myopic defocus or red-light therapy.

In regions with limited resources, strategies for myopia prevention and control must be tailored to factors such as affordability and accessibility. While 0.05% atropine has shown the potential to prevent myopia onset by 50%, 20 and RLRL therapy boasts a 54% reduction rate, 21 the cost–benefit analysis for large-scale implementation of these interventions in myopia prevention still requires further research. Spectacle lenses, being relatively more accessible, cost-effective and effective in slowing myopia progression, 15 present an alternative for low-income areas, although their effectiveness in reducing incident myopia also warrants further investigation.

In conclusion, the escalating prevalence of myopia represents a greater challenge than previously anticipated. However, there is recent clear evidence of effective myopia control on a national level in some countries taking proactive measures through interventions and educational reforms. While the effectiveness of myopia control interventions has been extensively explored, the focus must now shift towards individualised strategies in clinical practice to achieve better outcomes. Significant challenges persist, particularly concerning the large-scale implementation of myopia interventions in resource-constrained areas. These challenges remain an essential area for ongoing research and development.

Ethics statements

Patient consent for publication.

Not applicable.

Acknowledgments

The following panelists participated in the ZOC-BJO Round Table Discussion on 'Best Practices in Myopia Control' (names in alphabetical order). Andreas Mueller, WHO; Chi-ho To, The Hong Kong Polytechnic University; Frank Larkin, Moorfields Eye Hospital (chairman); Ian Morgan, Australian National University, Zhongshan Ophthalmic Center, Sun Yat-sen University

Jason Yam, The Chinese University of Hong Kong; Junwen Zeng, Zhongshan Ophthalmic Center, Sun Yat-sen University; Kathryn Rose, University of Technology Sydney; Mingguang He, The Hong Kong Polytechnic University & Zhongshan Ophthalmic Center, Sun Yat-sen University; Ningli Wang, Beijing Tongren Hospital, Chinese Medical University; Stuart Keel, WHO; Xianggui He, Shanghai Eye Disease Prevention and Treatment Center; Xiangtian Zhou, Eye Hospital, Wenzhou Medical University; Xiao Yang, Zhongshan Ophthalmic Center, Sun Yat-sen University; Yan Wang, Tianjin Eye Hospital. We are grateful to Kangying Lai and Pai Zheng, BMJ China Office for their assistance in organisation of this round table.

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Contributors Drafting of manuscript: YC, JZ and MH. Review and revision of manuscript: AM, IM, FL and YW.

Funding The research was supported by PolyU - Rohto Centre of Research Excellence for Eye Care (Collaborative) (P0046333).

Competing interests MH is the director and shareholder in Eyerising and Eyerising International. The other authors have no proprietary interest in any aspect of this study.

Provenance and peer review Not commissioned; externally peer reviewed.

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