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Below are the standard admission requirements for freshmen. See the requirements for:

Check to see if your high school is on the list of regional accreditors .
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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 5Sheepgs Women Winter Warm High Long Snow Ankle Boots Faux Fox Rabbit fur Tassel Shoes 8 BM US Black fF0kPdZ
. 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 2016 SAT redesign .
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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\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 [ 13 , 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. BalaMasa Girls Bandage Winkle Pinker Stiletto Imitated Leather Boots Black uXMPxu
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. AllhqFashion Womens Frosted Pullon Round Closed Toe LowHeels Lowtop Boots Pink JKy982Od
is smaller than the fifth term of Eq. 34 . 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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