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Transcripts should show courses through at least the end of eleventh grade. Upon graduation, submit a final transcript confirming graduation and showing all academic course work.
We accept SAT Reasoning Test or ACT. We prefer scores to be sent directly from the testing service, but we do accept scores reported on official high school transcripts or reported by the high school counselor on the Originals Desert Herschel Mens Footwear Brown Tumb SHQwaZ2
. If you plan to participate in intercollegiate athletics, however, we must receive your scores from the testing service. When you take the test, list the UO as one of your score recipients. Our school code number for the SAT Reasoning Test is 4846; our code for the ACT is 3498. Learn more about the AmoonyFashion Womens RoundToe ClosedToe KittenHeels Boots With Slipping Sole and Wedge White aPoPEvzPB
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The UO is interested in learning more about you. Write an essay of 650 words or less that shares information that we cannot find elsewhere on your application. Any topic you choose is welcome. Some ideas you might consider include your future ambitions and goals, a special talent, extracurricular activity, or unusual interest that sets you apart from your peers, or a significant experience that influenced your life. If you are applying to the UO's Robert D. Clark Honors College, feel free to resubmit your honors college application essay.
F. Optional second essay. As you’ve looked into what it will be like to attend Oregon, you’ve hopefully learned about what makes Ducks Ducks. No two are alike, though, so tell us what makes you you, and how that connects to our campus community. We are interested in your thoughts and experiences recognizing difference and supporting equity and inclusion, and choosing one of these two options will guide you in sharing those thoughts. You can learn more about equity and inclusion at Oregon by visiting the Equity and Inclusion website. Maximum statement length is 500 words. This statement is not required.

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or start your application online.

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If you do not meet one or more of the standard admission requirements, review the options for Cobb Hill Womens Sable Ghillie Gladiator Sandal Black 4pVDAc
, including information for students from nonaccredited high schools. Also, see the requirements for homeschooled students and students who earned a GED .

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Information about the department's various programs as well as forms, applications and fact sheets can all be found in the resources section.

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The Consumer Protection Laboratory is Ohio's premier food and agricultural testing laboratory. The laboratory tests food, feeds, fertilizers, pesticides, animal exhibition samples and race track samples. It is also state's the primary emergency response laboratory for biological and chemical terrorism in food and environmental products.

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ODA welcomes summer interns as part of the ODA University program.

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Register your Farmers Market. Farmers Market registration allows some vendors to be exempt from licensing by local health departments.

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The Ohio Applicator Forecast is designed to help nutrient applicators identify times when the weather-risk for applying is low.

\begin{array}{@{}rcl@{}} J(W^{(t+1)}) \leq J(W^{(t)}), \end{array}
(32)
\begin{array}{@{}rcl@{}} J(W) = tr\left(A-XWH^{T}Y^{T}\right)^{T}D\left(A-XWH^{T}Y^{T}\right)\\ +\lambda_{1} tr\left(W^{T}PW\right) +\lambda_{2} tr\left(H^{T}QH\right) \end{array}
(33)

And, according to the statement of Lemma 6, under the W update rule in Algorithm 3, J ( W ) monotonically decreases. In order to prove the statement, we follow the approaches utilizing auxiliary functions [ AmoonyFashion Womens Closed Round Toe No Heels Frosted Short Plush Solid Boots with NonSlipping Sole Beige D26mU
, 14 ]. □

Definition 2

(, ) is an auxiliary function for the function () if (, )≥() for all and (,)=().

\begin{array}{@{}rcl@{}} W^{(t+1)} = \underset{W}{\text{argmin}} \quad G\left(W,W^{(t)}\right) \end{array}
\begin{array}{@{}rcl@{}} J\left(W^{(t+1)}\right) = G\left(W^{(t+1)},W^{(t+1)}\right) \leq G\left(W^{(t+1)},W^{(t)}\right)\\ \leq G\left(W^{(t)},W^{(t)}\right) = J\left(W^{(t)}\right) \end{array}

This proves that J ( W ( t ) ) is monotonically decreasing.

Lemma 9
\begin{array}{*{20}l} G(W,W^{\prime}) = tr\left(A^{T}DA\right) - 2tr\left(YHW^{T}X^{T}DA\right)\\ \quad +\lambda_{1} tr\left(W^{T}PW\right)+ \lambda_{2} tr\left(H^{T}QH\right) \\ \quad + \sum_{i=1}^{m}\sum_{j=1}^{r} \frac{\left(X^{T}DXW^{\prime}H^{T}Y^{T}YH\right)_{{ij}}W^{2}_{{ij}}}{{W^{\prime}}_{{ij}}} \end{array}
(34)
\begin{array}{*{20}l} J(W) = tr\left(A^{T}DA\right) - 2tr\left(YHW^{T}X^{T}DA\right)\\ \quad + \lambda_{1} tr\left(W^{T}PW\right)+ \lambda_{2} tr\left(H^{T}QH\right)\\ \quad + tr\left(W^{T}X^{T}DXWH^{T}Y^{T}YH\right) \end{array}
(35)
\begin{array}{@{}rcl@{}} tr\left(W^{T}\Lambda WB\right) \leq \sum_{i}\sum_{j}\left(\Lambda W^{\prime} B\right)_{{ji}}\frac{W^{2}_{{ij}}}{W^{\prime}_{{ij}}}, \end{array}
(36)

where, Λ , B , W are non-negative matrices, and Λ , B are symmetric matrices. And obviously the equality holds in Eq. Reebok Mens Mesh Athletic Oxfords Alloy Toe Grey 14 D JMWiV6Rp7
when W = W .

In Eq. 36 , if we do the substitutions: Λ = X T D X , B = H T Y T Y H , W = W , W = W , we see that the fifth term of Eq. 35 is smaller than the fifth term of Eq. Womens Outdoor Leather Summer Beach Leather Casual Slippers 1086 Black wJPXj
. However, the equality holds when W = W . Thus G ( W , W ) in Eq. ASICS Mens GelKahana 8 Running Shoe Grey/Black/Carbon Kz2WNJp9
is an auxiliary function of J ( W ). □

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