## Vector Reflection Example Essays

Let $\hat{n} = {n \over \|n\|}$. Then $\hat{n}$ is the vector of magnitude one in the same direction as $n$. The projection of $d$ in the $n$ direction is given by $\mathrm{proj}_{n}d = (d \cdot \hat{n})\hat{n}$, and the projection of $d$ in the orthogonal direction is therefore given by $d - (d \cdot \hat{n})\hat{n}$. Thus we have $$d = (d \cdot \hat{n})\hat{n} + [d - (d \cdot \hat{n})\hat{n}]$$ Note that $r$ has $-1$ times the projection onto $n$ that $d$ has onto $n$, while the orthogonal projection of $r$ onto $n$ is equal to the orthogonal projection of $d$ onto $n$, therefore $$r = -(d \cdot \hat{n})\hat{n} + [d - (d \cdot \hat{n})\hat{n}]$$ Alternatively you may look at it as that $-r$ has the same projection onto $n$ that $d$ has onto $n$, with its orthogonal projection given by $-1$ times that of $d$. $$-r = (d \cdot \hat{n})\hat{n} - [d - (d \cdot \hat{n})\hat{n}]$$ The later equation is exactly $$r = -(d \cdot \hat{n})\hat{n} + [d - (d \cdot \hat{n})\hat{n}]$$

Hence one can get $r$ from $d$ via $$r = d - 2(d \cdot \hat{n})\hat{n}$$ Stated in terms of $n$ itself, this becomes $$r = d - {2 d \cdot n\over \|n\|^2}n$$

**Reflection in Global Health Essay Contest**

**What?**An opportunity to submit an essay about your reflections in global health education and practice. This is the fifth annual CUGH Reflection Essay Contest that is co-sponsored by CUGH, Child Family Health International, University of Pittsburg Center for Global Health and Loyola University Chicago Health Sciences Division.**Who?** Trainees from undergraduate, graduate and post-graduate levels and GH faculty/practitioners are eligible to submit an essay to the contest. We strongly encourage essay submission by trainees and global health practitioners/educators from low-middle income countries.**When? **Submissions are due by midnight EST on **November 20, 2017** (extended from Nov. 12)**。 **Decisions on winners and runner-ups will be announced on **December 20, 2017**. A select group of winners will be invited to read their essays at the 2018 CUGH Annual Conference in New York, NY. **Where?**Submissions should be emailed to __cughessay@cfhi.org__. Winners will be invited to attend and read their essays at the CUGH 2018 Annual Conference in New York, NY. However, attending the conference is not required to participate in the Essay Contest. Additional essays will be invited to submit for publication in the publication “*Reflection and Global Health: An Anthology*.”**How?** Email essay submission with the structure and information in the instructions below to __cughessay@cfhi.org__. To learn more about how to write a reflective essay, additional resources can be found here.

Reflection is a powerful tool in global health education and practice. All current undergraduate, graduate and postgraduate trainees as well as GH practitioners are invited to submit essays to reflect upon the meaning and lessons learned from global health experiences. These may be in a research, educational, clinical, or service capacity. The impacts of these experiences on professional development and personal growth are revealed in new partnerships, insights into cross-cultural or ethical issues and ideas for change.

Click __here__ for an example of writing prompts.

Click __here__ to see essays previously selected for the Reflection in Global Health Anthology.

**Requirements for Essays**

- The essay must be written while the applicant fits into one of the three contest categories described below, must be the work of a single author, and must represent original work. Essays must not have been previously published in print or electronic format.
- Entries must be in English, at least 11 point font, doubled-spaced, and must not exceed 1,000 words.
- Essay should be written in Microsoft or OpenOffice document.
- Do not put your name or any other identifying information on the document. Mention of any other individuals in the document should conform to anonymity standards to ensure privacy.
- Include the title of your essay on all pages of your word document submission
- Only ONE submission per person.
- Essays not meeting all requirements will be disqualified from the contest.

**Judging Criteria**

Submissions will be judged in three separate categories:

- trainees (post secondary to post graduate levels,
- practitioner/faculty, and
- trainees for whom English is not the primary language.

Each essay is reviewed by two judges and scored on four criteria— originality/theme, composition, critical reflection, and impact. A third judge is asked to review the essay if there is a significant difference in the scores by the two judges. Authors will be anonymous to the judges. The finalists will be selected by members of CUGH's Essay and Education Committees. Essay finalists will be notified by** January 15, 2018**.

**Prizes**

Monetary prizes of $500 and a waiver of the CUGH 2018 conference registration fee will be awarded to the three winners. A number of honorable mention essays will be selected for a special reading and recognition session at the conference.

**How to submit**

Send an email (including the below information) with your essay as an attachment to cughessay@cfhi.org

Please include the following information in the body of your email:

- First Name then Last Name
- Title of Essay
- Address
- Phone Number
- Email Address (reachable even after graduation)
- School/Sponsoring Institution/Training Program where enrolled or affiliated
- Degree Program (if applicable)
- Indicate category of submission (IMPORTANT!)

a. **Trainees** (undergraduate, graduate, post-graduate levels). Anticipated year of graduation

b. **Practitioner/faculty**. Please indicate years in practice and area of expertise

c. **Trainees from low-middle income countries** where English is not the official language

More information: Contact: __buithuy@pitt.edu__ or __jevert@fcm.ucsf.edu__

This contest is co-sponsored by Consortium for Universities in Global Health, Child Family Health International, Loyola University Chicago Health Sciences Division, and the University of Pittsburgh's Center for Global Health.

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