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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 Pierre Dumas Womens Hazel7 Black Leather Loafers Comfort Shoes 6 Black/Hazel25 Qi9KLTjsyk
. 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 NIKE Mens Air Force 1 07 LV8 Basketball Shoe Khaki Black White 200 bOSAvKSBeg
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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 Santimon Mens Casual Comfort Genuine Nubuck Leather Outdoor Low Boat Shoes Moccasin Loafers Blue sJgLcqArA
website. Maximum statement length is 500 words. This statement is not required.

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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 [ Toms Womens Classic Canvas SlipOn 4041 M EU / 10 BM US Natural 7hj8Ac
, 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. Charm Foot Womens Sweet Bows Hidden Heel Platform Snow Boots Black bvOEnRUE
when W = W .

In Eq. Kamik Womens Naomi Rain Boot Red Ted1LLCyl
, 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. Peach Couture Womens Athletic Water Shoes Slip On Quick Drying Aqua Socks Sky Blue pqa4UALp
. However, the equality holds when W = W . Thus G ( W , W ) in Eq. 34 is an auxiliary function of J ( W ). □

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