chengyewang/TexOCR-eval huggingface dataset:
decision.\footnote{Am. Legion v. Am. Humanist Ass'n, 139 S. Ct. 2067, 2079 (2019); id. at 2102--04 (Ginsburg, J., dissenting).} In the Latin cross case, Justice Ginsburg's numbers are quite clear: she notes that of the forty World War I displays in the United States that include a Latin cross only constitute four percent of the World War I monuments in the nation.\footnote{Id. at 2111 (Ginsburg, J., dissenting).}

The fourth question is again key. If the data shows that the Latin cross is heavily associated with World War I, the Justices can use information in the weight of the analysis, but the basic question still is whether its use sends a message to non-Christians (in this case) that they are outsiders to the political system, or does the context of the Latin cross reduce or eliminate that message?

To be fair to Justice Alito, in his Latin Cross opinion, he also stated:

\begin{quote}
The cross came into widespread use as a symbol of Christianity by the fourth century, and it retains that meaning today. But there are many contexts in which the symbol has also taken on a secular meaning. Indeed, there are instances in which its message is now almost entirely secular.\footnote{Id. at 2074 (majority opinion).}
\end{quote}

The proposed test does not eliminate the ability of the Court to make reasoned judgments, nor does it eliminate the possibility for disagreement. It does, however, give guidance to the Court on how to approach a religious symbol case. It takes current Establishment Clause jurisprudence, especially the endorsement modification of the Lemon test,\footnote{See supra notes 10--13 and accompanying text.} and applies some trademark principles to help the Court assess the message that the symbol sends to the public.

\section{Conclusion}

The U.S. Supreme Court's Establishment Clause jurisprudence, particularly with regard to religious symbols, is a complicated body of multiple tests and pronouncements.\footnote{See supra Section I.B.} When determining whether a governmental use of a purported religious symbol violates the Establishment Clause, the Court can use some basic trademark principles to help articulate its positions and results.\footnote{See supra Section III.A.} The articulated approach proposed in this Article incorporates those principles to assist a court in systematically evaluating a symbol to determine if it is a religious symbol, if it has any prominent secular affiliations or meanings, and whether the context of the use violates the Establishment Clause. This proposal is not a magic formula that will ensure total predictability in Establishment Clause cases but it should assist the Court in assessing the key underlying issues in an establishment question regarding the effect of the government's interaction with religion and whether it ``establishes'' religion.
\begin{figure}
\centering
\includegraphics{figure_1.pdf}
\caption{Framskriving av folkemengda i Møre og Romsdal fordelt på aldersgrupper. Alt. MMMM (middelalternativet). Kjelde: SSB.}
\label{figure_1}
\end{figure}

\begin{figure}
\centering
\includegraphics{figure_2.pdf}
\caption{Venta folketalsvekst i Møre og Romsdal, 2028, fordelt på aldersgrupper. Kjelde: SSB.}
\label{figure_2}
\end{figure}
\section{Computer Science}

\subsection{CS 173 Discrete Structures}

\textbf{credit:} 2 hours.

(C S 173) Studies discrete mathematical structures frequently encountered in the study of Computer Science. Topics will include sets, propositions, boolean algebra, induction, recursion, relations, functions, and graphs. Credit is not given for both CS 173 and MATH 213.

\begin{table}[h]
\centering
\begin{tabular}{lllllll}
CRN & Type & Section & Time & Days & Location & Instructor \\
30102 & Lecture-Discussion & M & 11:00 AM - 11:50 AM & TR & 1320 - Digital Computer Laboratory & Heeren, C \\
40083 & Lecture-Discussion & N & 12:30 PM - 01:20 PM & TR & 1310 - Digital Computer Laboratory & Heeren, C \\
\end{tabular}
\caption{Class schedule for CS 173 Discrete Structures}
\label{table_1}
\end{table}
3. a) Prenez connaissance du Modèle de rédaction – Lettre d'affaires qui accompagne la note de service de madame Martin au point 2.

\section{Modèle de rédaction – Lettre d'affaires}
\subsection{Lettre de sollicitation destinée aux commanditaires}

\subsection{Prise de contact}
\begin{itemize}
\item Présenter la cause
\item Demander l'appui du commanditaire
\end{itemize}

\subsection{Développement}
\begin{itemize}
\item Annoncer l'activité de financement
\item Exprimer une demande de contribution personnalisée selon le commanditaire sollicité
\end{itemize}

Ex. : Épicerie – nourriture

Compagnie X – dons en argent, musique, animation pour les jeunes, prix de présence

Expliquer la visibilité pour eux avant, pendant et après l'événement (présence de médias, annonces dans les journaux, affiches sur les tables)

\subsection{Rupture de contact}
\begin{itemize}
\item Remercier et saluer
\item Signature du bénévole
\end{itemize}
In fact, one might speculate that allowing the use of previews should tend to improve public perceptions of a civil justice system---increasing its legitimacy---precisely because settlement outcomes would be seen as being better informed and thus more accurate. Settlement terms would turn less on the external bargaining asymmetries, for instance, and more on the merits. Such accuracy gains could even be seen as a counterweight to the legitimacy losses that some observers would perceive in a decline in trial-going rates.

But that may be too simplistic. There is a tradeoff, one that should trouble even those who generally favor settlement. Consider why previewing the case materials and previewing the factfinder are complements in the first place: Different judges may vary in how they assess the same body of evidence or how they decide the same case. This is why it is valuable to the parties, in bench cases, to have a ``judicial preview'' (a signal of what the previewed evidence means to this factfinder). But there is also a downside: The use of preview policies can amplify the influence of such individual variation among judges---call it ``idiosyncrasy''---on settlement outcomes.

Parties settle not in the shadow of the ``true facts'' about the case, after all, but in the shadow of the expected verdict. And they know that this verdict will depend both on the factual materials and on how this specific factfinder will interpret them. When judicial previews are possible, the enhanced learning that results may induce settling---but partly because the parties are gaining insight into how this judge thinks. And as Judge Edwards's ambivalence in the epigraph above suggests, a policy of pushing settlement by exploiting perceptions about judicial idiosyncrasy may not be a widely palatable approach.

To put the question bluntly: Should the parties have more information or should they have ``purer'' (but less) information? Using previews allows parties to make their settlement decisions based on a sharper sense of how the case will come out at trial, but this sharper sense might be taking into account the idiosyncratic views of the judge (or jury). The alternative is for them to settle (or not) based on a fuzzier sense of the outcome, but at least this fuzzier sense will be less influenced by idiosyncrasy.

A closer analysis begins by distinguishing among three groups of
heart (not shown). Fibrillin-1 was distributed evenly throughout the scars without apparent association with elastin.

In 1B normotensive transgenic mice, compared with controls (Fig. 4, A and B), we clearly observed an increased perivascular and interstitial fibrillin-1 deposition (1.09 $\pm$ 0.28\% to 4.11 $\pm$ 0.69\%; $P < 0.05$) (Fig. 3 and Fig. 4, C and D). In 2C hypertensive ANG II-producing mice (Fig. 4, E and F), we detected a sixfold increase of fibrillin-1 immunoreactivity from 1.09 $\pm$ 0.28\% in control mice to 7.77 $\pm$ 0.83\%. These two lines showed no evidence of cardiac necrosis despite dramatically increased cardiac ANG II content (60). Moreover,

Immunohistochemical evidence of fibrillin-1 accumulation at sites of microscopic scarring and perivascular fibrosis of coronary arteries appeared in both the right and left ventricles. Fibrillin-1 staining was particularly intense in reparative fibrotic areas (Fig. 2G, solid arrow). Elastin accumulation was often observed in the center of scars in the DOCA-salt myocardium (Fig. 2H, solid arrow) and in the ANG II-infused rat heart (not shown).

\begin{figure}
\centering
\begin{subfigure}{0.45\textwidth}
\centering
\includegraphics{figure_5_1.pdf}
\end{subfigure}
\begin{subfigure}{0.45\textwidth}
\centering
\includegraphics{figure_5_2.pdf}
\end{subfigure}
\caption{A: real-time RT-PCR of fibrillin-1 mRNA. Standard curves for fibrillin-1 and ribosomal protein S16 were assessed by real-time RT-PCR (insets representing dilution curves). B: quantification of myocardial fibrillin-1/S16 mRNA content expressed as $n$-fold increase relative to control animals (run in duplicate). $n = 6$--10 (rats) or 3 (mice) per group, respectively. Ct, control. *$P < 0.05$ vs. control animals.}
\label{figure_5}
\end{figure}

\begin{figure}
\centering
\begin{subfigure}{0.9\textwidth}
\centering
\includegraphics{figure_6_1.pdf}
\end{subfigure}

\begin{subfigure}{0.9\textwidth}
\centering
\includegraphics{figure_6_2.pdf}
\end{subfigure}

\begin{subfigure}{0.9\textwidth}
\centering
\includegraphics{figure_6_3.pdf}
\end{subfigure}
\caption{Fibrillin-1 expression in cultured cardiac fibroblasts. Quiescent cardiac fibroblasts were stimulated for 48 h by increasing concentrations of ANG II ($10^{-10}$--$10^{-8}$ mol/l) (A) or TGF-$\beta$1 ($10^{-13}$--$10^{-10}$ mol/l) (B). SDS-soluble fibrillin-1 was analyzed by Western blot analysis (A); fibrillin-1, collagen type I, and fibronectin deposition were measured by a cell-based assay (B). Data were normalized to GAPDH (A) or $\beta$-actin (B). $n = 4$ in A and $n = 6$ in B. Results are representative of 3 experiments. *$P < 0.05$ vs. quiescent cells. Quantification of myocardial fibrillin-1/S16 mRNA content by real-time RT-PCR (C) is expressed as $n$-fold increase relative to nonstimulated cardiac fibroblasts (run in duplicate). Quiescent cardiac fibroblasts were stimulated for 48 h with ANG II ($10^{-8}$ mol/l) or TGF-$\beta$1 ($1.5 \times 10^{-10}$ mol/l). $n = 4$ experiments. *$P < 0.05$ vs. quiescent cells.}
\label{figure_6}
\end{figure}
\title{室戸沖南海トラフ3次元反射法データから得られる巨大逆断層帯の微細構造\\Detailed Structure of the Large Thrust Slice Zone in the Nankai Trough off cape Muroto revealed by the 3D seismic data}

\author{Yasuyuki Nakamura[1], Nathan L. Bangs[2], Sean P. S. Gulick[2], Gregory F. Moore[3], Shin'ichi Kuramoto[4], Tom H. Shipley[2], Asahiko Taira[5]\\
[1] Ocean Res. Inst., Univ. Tokyo, [2] UTIG, [3] Univ. Hawaii, [4] JAMSTEC, [5] Ocean Research Institute, Univ. of Tokyo}

\begin{abstract}
南海トラフでは多くの反射法および屈折法による地震探査が行なわれ，地下構造のイメージングがなされている。本講演では，1999年に室戸沖で行なわれた3次元反射法地震探査データの3次元重合前時間マイグレーション結果に見られる，巨大逆断層帯の構造について発表する。

室戸岬沖における巨大逆断層帯（LTSZ）とは，変形フロントから陸側へ約40km，水深が約4000mから約3000mにかけての斜面を形成する，約25kmにわたる領域を指す。LTSZは新しい付加体である覆瓦スラストと類似した覆瓦構造と，付加体に発達した逆断層で特徴づけられ，過去に形成された付加体と底付け作用や逆断層運動によって斜面を形成している場であると考えられている。

LTSZの構造はその特徴によって，いくつかの構造区分に分けることができる。最も海側約7--8kmの領域は，少なくとも2つ以上の覆瓦スラスト構造によって代表される（Zone A）。この覆瓦構造は，3次元探査領域（3D Box）の西部では明瞭に見られ，東側では深部が不明瞭になる。一つの覆瓦ユニットの厚さは，往復走時で約0.4秒である。3D Box西部では，この領域の下部に低角な断層が見られる。この断層は順序外断層（OST）である可能性が高い。

LTSZの陸側，水深3500mより浅い斜面上部の海底下浅部には，陸側に傾斜した明瞭な成層構造を持つ覆瓦構造が表れる（Zone B）。この覆瓦ユニットは往復走時で約0.6秒の厚さを持ち，これはZone Aに比べると厚い。Zone Bでは3D Box内東側において海底下往復走時0.5s付近にBSRが顕著に見られるが，3D Boxの中央においてはBSRは不明瞭になる。Zone Bの陸側には，Zone Bを切る広角（約20度以上）な断層が見られる。

Zone Bの下および，Zone AとZone Bの間は，陸側に傾斜した反射面が見られるが，明瞭な覆瓦構造を判別することが困難な領域である（Zone C）。この領域の3D Box中央部ではZone Cの下部，LTSZの最も陸側の海洋性地殻上面付近から海底近くまで伸びるOSTと思われる断層面が明瞭に見られるが，この断層以外にも複数の断層の活動によって構造が複雑になっていると考えられる。

Zone Aおよび，Zone Cの下部（往復走時6.5--6.7s付近）には，低角に陸側傾斜した反射面（LA-LDR）をほぼ3D Box全域で見ることができる。LA-LDRは明瞭に確認できるが連続性は悪く，各セグメントの海側の終端では急激に傾斜が大きくなっているところも見られる。LA-LDRの海側上方延長上では付加体構造中に不明瞭ながらも断層が存在していることから，LA-LDRは付加体を切る断層面の一部である可能性がある。一方，LA-LDRの近傍ではデュープレックス構造と見られるS字型の反射イベントも見られる。LA-LDRの下，海洋性地殻上面と思われる反射面から往復走時約0.5秒上にも，同種の明瞭な反射面が海洋性地殻上面とほぼ平行に見られることなどから，LA-LDRは底付け作用に関連するデュープレックス構造のルーフスラストの一部である可能性もある。
\end{abstract}
O10.3 Penyakit jantung dan ginjal hipertensif yang sebelumnya telah ada (I13)\\
O10.4 Hipertensi sekunder yang sebelumnya telah ada (I15)\\
O10.9 Hipertensi yang tidak jelas yang sebelumnya telah ada

5. Untuk pengodean kasus diabetes pada kehamilan, gunakan aturan berikut ini:

Gunakan kode O24 untuk:
\begin{itemize}
\item Diabetes mellitus yang telah ada sebelum kehamilan
\item Diabetes yang muncul saat kehamilan
\end{itemize}

Berikut pengodean untuk diabetes dalam kehamilan:

O24.0 DM tipe 1 yang sebelumnya telah ada\\
O24.1 DM tipe 2 yang sebelumnya telah ada\\
O24.2 DM akibat malnutrisi yang sebelumnya telah ada\\
O24.3 DM yang tidak dijelaskan yang sebelumnya telah ada\\
O24.4 DM gestational\\
O24.9 DM dalam kehamilan

6. Untuk pengodean kasus infeksi yang mempersulit kehamilan, melahirkan, dan nifas; gunakan aturan berikut ini:

O98.0 Tuberkulosis (A15-A19)\\
O98.1 Sifilis (A50-A53)\\
O98.2 Gonorrhoea (A54)\\
O98.3 Infeksi lain dengan transmisi utama secara seksual (A55-A64)\\
O98.4 Hepatitis virus (B15-B19)\\
O98.5 Penyakit virus lain (A80-B09, B25-B34)\\
O98.6 Penyakit protozoa (B50-B64)\\
O98.7 HIV (B20-B24)\\
O98.8 Penyakit infeksi dan parasit lain\\
O98.9 Penyakit infeksi dan parasit ibu yang tidak dijelaskan

7. Untuk pengodean kasus penyakit maternal yang mempersulit kehamilan, melahirkan, dan nifas; gunakan aturan berikut ini:

O99.0 Anemia (D50-D64)\\
O99.1 Penyakit lain pada darah dan organ pembentuk darah serta kelainan tertentu yang melibatkan mekanisme imun (D65-D89)\\
O99.2 Penyakit endokrin, gizi dan metabolik yang mempersulit KMN (E00-E90), excl. DM (O24), malnutrisi (O25), tiroiditis (O90.5)\\
O99.3 Kelainan jiwa dan penyakit sistem syaraf (F00-F99 dan G00-G99)\\
O99.4 Penyakit sistem sirkulasi (I00-I99)\\
O99.5 Penyakit sistem pernafasan (J00-J99)\\
O99.6 Penyakit sistem pencernaan (K00-K93)\\
O99.7 Penyakit kulit dan jaringan subkutis (L00-L99)\\
O99.8 Penyakit dan kondisi lain yang dijelaskan

8. Untuk pasien yang datang ke pelayanan kesehatan terkait dengan reproduksi, gunakan pengodean di bawah ini:

Z32 Pemeriksaan kehamilan\\
Z33 Hamil
\subsection{ $(X_a,Z_a)$ 的相对轨形 GW-不变量 }

类似于绝对轨形 GW-不变量，$(X_a,Z_a)$ 的相对轨形 GW-理论中的赋值映射的像落在 $X_a$ 与 $Z_a$ 的惯性轨形中。我们前面已经分析过它们的惯性轨形，即：
\[
(IX_a,IZ_a)=\left(X_a \sqcup \bigsqcup_{s\in D_a,s>0} Z_a(s),\; \bigsqcup_{s\in D_a} Z_a(s)\right).
\]

相对模空间 $\overline{\mathcal M}_{g,n,\bar{\mu},A}(X_a,Z_a)$ 参数化了到 $(X_a,Z_a)$ 的如下的相对的轨形稳定映射：

(1) 映射的原曲线的亏格为 $g$；

(2) 此映射代表的下同调类为 $A\in H_2(|X_a|;\mathbb Z)$，且 $\bar{\mu}=(\mu_1,\ldots,\mu_{\ell(\bar{\mu})})$ 为相交数 $A\cdot[Z_a]$ 的一个由正有理数给出的划分，表示映射与除子 $Z_a$ 相交之后 $\ell(\bar{\mu})$ 个标识点，并以 $\mu$ 为相应的分数阶相交重数 (fractional contact order)。令 $|\bar{\mu}|=\sum_{i=1}^{\ell(\bar{\mu})}\mu_i$，则 $|\bar{\mu}|=A\cdot[Z_a]$。

前 $n$ 个标识点是非轨形标识点，称为绝对标识点，它们决定了如下的赋值映射
\[
ev_i:\overline{\mathcal M}_{g,n,\bar{\mu},A}(X_a,Z_a)\to IX_a,\qquad 1\le i\le n.
\]

同时，它们还决定了 $n$ 个余切线丛 $L_i$，这些余切线丛的第一陈类也记为 $\bar{\psi}_i$。后 $\ell(\bar{\mu})$ 个标识点为相对标识点，它们决定了 $\ell(\bar{\mu})$ 个赋值映射
\[
rev_i:\overline{\mathcal M}_{g,n,\bar{\mu},A}(X_a,Z_a)\to Z_a(\{-\mu_i\})\subset IZ_a,\qquad 1\le i\le \ell(\bar{\mu}).
\]

\textbf{定义2.1} 取 $\alpha=(\bar{\psi}^{a_1}\alpha_1,\ldots,\bar{\psi}^{a_n}\alpha_n)\in (\mathbb C[\bar{\psi}]\otimes H^*(X_a))^{\otimes n}$ 与 $\epsilon=(\epsilon_1,\ldots,\epsilon_{\ell(\bar{\mu})})\in H^*(IZ_a)^{\otimes \ell(\bar{\mu})}$，其中 $\epsilon_j\in H^*(Z_a(\{-\mu_j\}))$。$(X_a,Z_a)$ 的相对轨形 GW-不变量定义为
\[
\langle \alpha\mid\epsilon \rangle^{(X_a,Z_a)}_{g,n,\bar{\mu},A}
:=\int_{[\overline{\mathcal M}_{g,n,\bar{\mu},A}(X_a,Z_a)]^{vir}}
\prod_{i=1}^{n}\bar{\psi}_i^{a_i}ev_i^*\alpha_i
\wedge
\prod_{j=1}^{\ell(\bar{\mu})}rev_j^*\epsilon_j.
\]

模空间 $\overline{\mathcal M}_{g,n,\bar{\mu},A}(X_a,Z_a)$ 的期望维数 (参见 \cite{20}) 为
\[
\mathrm{vdim}_\mathbb{C}\,\overline{\mathcal M}_{g,n,\bar{\mu},A}(X_a,Z_a)
=c_1^{X_a}(A)+(\dim_\mathbb{C}X-3)(1-g)+n+\ell(\bar{\mu})-\iota^{Z_a}(\epsilon)-|\bar{\mu}|.
\]

类似于绝对 GW-不变量，当 $\tfrac{1}{2}(\deg\alpha+\deg\epsilon)\ne \mathrm{vdim}_\mathbb{C}\overline{\mathcal M}_{g,n,\bar{\mu},A}(X_a,Z_a)$ 时，不变量定义为 0。有关相对轨形 GW-理论的构造与退化公式可以参见 \cite{1,10}。

为了后面使用方便，我们引入两个记号：
\[
\iota^{Z_a}(\epsilon_j):=\iota^{Z_a}(\{-\mu_j\})=\sum_{a=1}^{\kappa}(-a\mu_j),
\qquad
\iota^{Z_a}(\epsilon):=\sum_{j=1}^{\ell(\bar{\mu})}\iota^{Z_a}(\epsilon_j).
\]

\subsection{$\kappa=1$ 时 $(X,S)$ 的相对 GW-不变量}

当 $\kappa=1$ 时，我们也需要用到 $(X,S)$ 的相对不变量。令 $\bar{\mu}=(\mu_1,\ldots,\mu_{\ell(\bar{\mu})})$ 为相交数 $A\cdot[S]$ 的由正整数给出的划分。如此有 $|\bar{\mu}|:=\sum_i\mu_i=A\cdot[S]$。

模空间 $\overline{\mathcal M}_{g,n,\bar{\mu},A}(X,S)$ 参数化了到 $(X,S)$ 的如下的相对稳定映射：
\section{FIPS-specific Marking}

\begin{figure}
\centering
\includegraphics{figure_1.pdf}
\label{figure_1}
\end{figure}

\section{CSPN-specific Marking}

\begin{figure}
\centering
\includegraphics{figure_2.pdf}
\label{figure_2}
\end{figure}
stitution to support an intergovernmental tax immunity, but concluded that "the exemption rests upon necessary implication, and is upheld by the great law of self-preservation; as any government, whose means employed in conducting its operations, if subject to the control of another and distinct government, can exist only at the mercy of that government."

In Indian Motorcycle Co. v. United States, the Court recognized that the concept of intergovernmental tax immunity was inferred from the Constitution, which calls for the maintenance of a dual system of government. At this stage in the development of intergovernmental tax immunity, the state's right to tax immunity was considered to be equal to the federal government's right to tax immunity. The Court reaffirmed this principle in Burnet v. Coronado Oil \& Gas Co. In Coronado Oil, the Court considered each government to be supreme in its sphere.

\subsection{The Scope of Intergovernmental Tax Immunity Defined}

The scope of intergovernmental tax immunity has always been limited to immunity from tax on means or instrumentalities essential to the operation of government. The difficult issue in intergovernmental tax immunity cases has been defining what is an essential means or instrumentality of government.

In the late 1800s, the Court began to define the scope of intergovernmental tax immunity. The Court held that a federal tax on salary paid to an officer of the state or on interest in-
\begin{figure}[htbp]
\centering
\includegraphics{figure_1.pdf}
\caption{MRF test-bed.}
\label{figure_1}
\end{figure}

\begin{table}[htbp]
\centering
\caption{Three MRF samples' index and the corresponding parameter of particles.}
\label{table_1}
\begin{tabular}{llllll}
\hline
Index & Particle model & $D_{av}$ (average diameter)/$\mu$m & $D(0.1)$ & $D(0.5)$ & $D(0.9)$ \\
\hline
MRF-15 & MPS-MRF-15 & 3--5 & $\leq$2.5 & $\leq$4.5 & $<$8 \\
MRF-25 & MPS-MRF-25 & 2.5--3.5 & $\leq$2.0 & $\leq$4.0 & $<$7 \\
MRF-35 & MPS-MRF-35 & 1.5--2.8 & $\leq$1.5 & $\leq$2.5 & $<$5 \\
\hline
\end{tabular}
\end{table}

MRFTD work under the effect of constant magnetic field by regulating the exciting current at 3.5 A. The exciting current is produced by adjustable DC power source. And the load of this system is set by adjusting the exciting current of MPB to 0.4 A. Besides that, the torque sensors are used to get the torque and the rotative speed difference of working disks, and the data is collected by the computer. All experiments are carried out at room temperature.

\subsection{Preparation of MRF}

The preparation of MRF can be realized by existing technology \cite{18,19}. The detailed steps can be described as follows. Firstly, carrier liquid and surfactant are mixed with certain proportion in a container. The mixture is stirred evenly under water-bathing at 50$^{\circ}$C in a blender for 2 hours. Then, soft magnetic particles are poured slowly into the container while the blender is running. The particles are evenly distributed in the compound liquid after this step. Secondly, the mixture is milled in a planetary ball mill for about 10 h. The aim of this step is to ensure that soft magnetic particles are coated sufficiently by surfactant. The whole process can be shown in Figure 2.

Keep the ingredients of MRF samples identical except for particle size. And the volume fractions of soft magnetic particles are 20\%. The details of soft magnetic particles (carbonyl iron powder, purchased from Jiangsu Tianyi Ultrafine Metal Powder co., Ltd.) and the index of samples are given in Table \ref{tab:table_1}.

\section{Results and Discussion}

\subsection{Shear Stress of MRF}

The relation between shear stress ($\tau$) and transmitted torque of MRF ($T$) can be expressed as follows \cite{20,21}:

\begin{equation}
T = \frac{2}{3}\pi \tau (r_2^3 - r_1^3) + \frac{\pi \eta \Delta \omega}{2h}(r_2^4 - r_1^4).
\end{equation}

Here, $r_1$ is the inner radius of actuator disk, $r_2$ is the maximal radius of actuator disk, $\eta$ is the viscosity of carrier liquid in zero magnetic fields, $\Delta \omega$ is the rotative speed difference of
tal, social, cultural and educational needs of the ``outgoing generation'', the current model of the university of the third age requires far-reaching changes and reforms, especially the spread of this idea on the European scale and a comprehensive programme and organization in order to satisfy such important human desires as the need to make sense of life, the need of self-realization, creativity, doing good and living an authentic, not simulated life, regardless old age, which is often seen as a painful shadow in arduous everyday reality.
\section{Credit Union}
After approval by the County Board, the County shall deduct from the wages of the employees who so authorize, and remit payments to the Local 73 Credit Union or the County's Pay Saver Credit Union.

\section{Personnel Files}
Upon written request to the Department Personnel Office, an employee may inspect his/her personnel file at any time mutually acceptable to the employee and Employer. Copies of materials in employee's personnel file shall be provided to the employee upon request. An employee may file a written rejoinder, to be placed in his/her personnel file, concerning any matter in the file.

The Union, upon request, shall be provided access to documentation relied upon by the Employer in matters invoking discipline, promotion, transfer or layoff, including documentation retained in departmental files.

The Employer shall maintain records in accordance with the Personnel Record Review Act, 820 ILCS 40/1 et seq.

\section{Discipline}
\textbf{A.} The Employer shall not demote, suspend, discharge or take any disciplinary action against an employee without just cause. Employees who are to be or may be disciplined are entitled to Union Representation exclusively in any disciplinary proceedings. The Union and the Employer agree that discipline should be timely, progressive and accompanied by counseling where appropriate and it shall normally be done in a manner that will not embarrass the employee before other employees or the public. It is understood that all discipline below suspension shall be discarded after one (1) calendar year if there has not been a like discipline problem.

\textbf{B.} The Employer agrees with the principles of fairness and consistency in imposing discipline. Generally, disciplinary action will include the following steps:

\begin{itemize}
\item Oral reprimand
\item Written reprimand
\item Suspension
\item Discharge
\end{itemize}

In determining what disciplinary action is appropriate, the Employer will consider the nature and the gravity of the misconduct, the employee's disciplinary record, and any mitigating circumstances.

\section{Conduct of Disciplinary Investigation}
Whenever an employee covered by this Agreement is the subject of a disciplinary investigation by the Office of Professional Review ("OPR") or similar type agency, the interrogation will be conducted in the following manner: