chengyewang/TexOCR-eval huggingface dataset:
\section{Galton Board with memory}

The real Galton Board cannot be too good an approximation of the exemplary device, where the right or left shift should occur with the same probability (with default being 0.5). In a mechanical board the scatterers are biased, i.e. the parameters of distributions slightly differ and, additionally, the consecutive deflections are probably correlated, which could be called a \emph{memory} – not ball memory, because the ball is devoid of internal structure, but board memory.

Francis Galton, the inventor of quincunx is also known (probably even better) as the author of probability models explaining the genetic effect on a person's height \cite{9}. The analysis of the correlation (in modern terminology) between children's (when they are adult) and their parents heights gave birth to one of the most important ideas in statistics – regression to the mean. The empirical distribution of height was normal with great accuracy and this suggests this attribute was influenced by many small independent factors; but it was well known that height is sufficiently determined by the genetic factor. With the help of a simple procedure modeling Galton board with memory (see Appendix 1) we collected a sample of size of the original (928 children and 207 parents) and obtained the table presented in Appendix 2. Joint density function $fPC(p,c)$ of the random variable parent-child $(PC)$ is presented in Fig.~\ref{fig:figure_1}. After smoothing (not shown) the constant density points form the ellipse $p^2 - 2\rho pc + c^2 = const$, where $\rho$ is the coefficient of correlation.

\begin{figure}
\centering
\begin{subfigure}{0.45\textwidth}
\centering
\includegraphics{figure_2_1.pdf}
\end{subfigure}
\begin{subfigure}{0.45\textwidth}
\centering
\includegraphics{figure_2_2.pdf}
\end{subfigure}
\caption{The characteristic features of Galton table reproduced by Galton board with memory for $pP = 0.5$, $pC = 0.6$ (a) and $pP = 0.5$, $pC = 0.8$ (b).}
\label{figure_2}
\end{figure}

The relationship between the Galton board and the Galton table is evident only when memory is put into the board, thanks to which the descendant may `inherit' an inclination to certain deviations. It is non-biological inheritance however – in a computer table you can invert the time and check that when fathers and sons swap places, the result remains unaffected (not mentioning the fact that regression to mean is most evident when there is no correlation).
\section{What does a public health approach to behavioral health look like?\cite{8,9,10}}

\begin{itemize}
\item Strong partnerships across community programs
\item Public education programming like Mental Health First Aid USA
\item Peer involvement
\item Recovery-oriented services
\item Increased prevention efforts
\item Trauma-informed services
\item Integration of behavioral health programs into schools
\item Family education
\item Integration of primary and behavioral health services
\item Increased use of health information technology
\end{itemize}

\section{What does success look like?\cite{8,9,10}}

\begin{itemize}
\item Decreased risk of adverse outcomes including hospital admissions
\item Improved overall health for persons with mental and/or substance abuse disorders
\item Reduced health care costs
\item Reduced early mortality gap
\item Healthy communities
\item Decreased discrimination of people with mental and/or substance abuse disorders
\item Improved care for individuals with mental and/or substance abuse disorders
\item Strong minds
\item Trauma resilient communities
\item Increased access to care
\end{itemize}
Seek immediate medical advice.

In case of skin contact:
Immediately wash with soap and water; rinse thoroughly.
Seek immediate medical advice.

In case of eye contact:
Rinse opened eye for several minutes under running water. Consult a physician.

If swallowed:
Do not induce vomiting; immediately call for medical help.

Information for doctor

Most important symptoms and effects, both acute and delayed
No data available

Indication of any immediate medical attention and special treatment needed
No data available

\section{SECTION 5. FIREFIGHTING MEASURES}

\subsection{Extinguishing media}

Suitable extinguishing agents
Carbon dioxide, extinguishing powder or water spray. Fight larger fires with water spray or alcohol resistant foam.

Special hazards arising from the substance or mixture
If this product is involved in a fire, the following can be released:
Toxic metal oxide fume

Advice for firefighters

Protective equipment:
Wear self-contained respirator.
Wear fully protective impervious suit.

\section{SECTION 6. ACCIDENTAL RELEASE MEASURES}

Personal precautions, protective equipment and emergency procedures
Use personal protective equipment. Keep unprotected persons away.
Ensure adequate ventilation

Environmental precautions:
Do not allow material to be released to the environment without official permits.

Methods and materials for containment and cleanup:
Dispose of contaminated material as waste according to section 13.
Ensure adequate ventilation.

Prevention of secondary hazards:
No special measures required.

Reference to other sections
See Section 7 for information on safe handling
See Section 8 for information on personal protection equipment.
See Section 13 for disposal information.

\section{SECTION 7. HANDLING AND STORAGE}

\subsection{Handling}

Precautions for safe handling
Keep container tightly sealed.
\section{Control-flow analysis}

\subsection{Booleans}

Extending the value lattice with booleans would allow us to do better flow-specific optimization. With that support, we could then only follow one branch of a conditional instead of always flowing values across both.

\subsection{Datatype tracking}

Similarly, track the possible constructed values passed along for a datatype.

\subsection{Eliminate unreachable blocks}

We already eliminated unused functions. But, we do not remove unreachable arms of a conditional/case statement. This work will need to be done in conjunction with either of the above; there are later optimizations that assume that all kept code has at least trivial CFA information.

\subsection{Implementation of reflow and associated optimizations}

See Olin's thesis. Note that this requires some trickery to implement efficiently -- see Lars.
\section{9.6 Embedded System Resource Allocation and Management}
Moderators: S. Chakraborty, TU Munich, DE; A. Girault, INRIA, Rhone-Alpes, FR

A Workflow for Runtime Adaptive Task Allocation on Heterogeneous MPSoCs

J. Huang, A. Raabe, C. Buckl and A. Knoll

Energy-Efficient Scheduling of Real-Time Tasks on Cluster-Based Multicores

F. Kong, W. Yi and Q. Deng

E-RoC: Embedded Raids-on-Chip for Low Power Distributed Dynamically Managed Reliable Memories

L.A.D. Bathen and N.D. Dutt

\section{9.7 EMBEDDED TUTORIAL – Sub-Wave Length Lithography and Variability Aware Test and Characterization Methods}
Moderators: R. Galivanche, Intel Corporation, US

Modeling Manufacturing Process Variation for Design and Test

S. Kundu and A. Sreedhar

Variability Aware Modeling for Yield Enhancement of SRAM and Logic

M. Miranda, P. Zuber, P. Dobrovolny and P. Roussel

Correlating Models and Silicon for Improved Parametric Yield

R. Aitken, G. Yeric and D. Flynn

\section{IP4 Interactive Presentations}

Evaluating Energy Consumption of Homogeneous MPSoCs Using Spare Tiles

A.M. Amory, L.C. Ost, C.A.M. Marcon, F.G. Moraes and M.S. Lubaszewski

Improving the Efficiency of a Hardware Transactional Memory on an NoC-Based MPSoC

L. Kunz, G. Girao and F.R. Wagner

Analytical Model for SRAM Dynamic Write-Ability Degradation Due to Gate Oxide Breakdown

V. Chandra and R. Aitken

Multi-Level Attacks: An Emerging Security Concern for Cryptographic Hardware

S.S. Ali, R.S. Chakraborty, D. Mukhopadhyay and S. Bhunia

A New Reversible Design of BCD Adder

H. Thapliyal and N. Ranganathan

jTLM: An Experimentation Framework for the Simulation of Transaction-Level Models of Systems-on-Chip

G. Funchal and M. Moy

Ensuring Correctness of Analog Circuits in Presence of Noise and Process Variations Using Pattern Matching

R. Narayanan, M.H. Zaki and S. Tahar

A Multi-Objective Decision-Theoretic Exploration Algorithm for Platform Based Design

G. Beltrame and G. Nicolescu
Relations (5.10) and (5.11) imply
\begin{equation}
f_W(0-,\lambda)=f_W(0+,\lambda)=1, \qquad f_M(0-,\lambda)=f_M(0+,\lambda)=0
\tag{5.14}
\end{equation}
and
\begin{equation}
\left\{
\begin{aligned}
\lim_{x\to 0}\left(f'_M(x,\lambda)+(1+\ln|x|)f_M(x,\lambda)\right) &= -2i\sqrt{\lambda},\\
\lim_{x\to 0-}\left(f'_W(x,\lambda)+(1+\ln|x|)f_W(x,\lambda)\right) &= c_{\lambda}(-1),\\
\lim_{x\to 0+}\left(f'_W(x,\lambda)+(1+\ln|x|)f_W(x,\lambda)\right) &= c_{\lambda}(+1),
\end{aligned}
\right.
\tag{5.15}
\end{equation}
where $c_{\lambda}(x)$ is given by (5.12).

\textbf{Remark 5.2.} Boyd \cite{4} considered the boundary value problem (1.1) with boundary conditions (1.3), replacing the potential $-x^{-1}$ first by $-(x-i\varepsilon)^{-1}$ with $\varepsilon>0$ and letting $\varepsilon\to0$. He required the eigenfunctions to admit an analytic continuation onto the lower half-plane. This requirement specifies an interface condition in $x=0$, which, however, turns out not to be self-adjoint. Indeed, the solutions of (1.1) which admit an analytic continuation onto the lower half-plane are linear combinations of the functions $f_M(x,\lambda)$ and $\tilde f_W(x,\lambda)$, where $\tilde f_W(x,\lambda)$ equals the function $f_W(x,\lambda)$ for positive real $x$, and with the branch cut at $\arg x=\pi/2$. This corresponds to a branch cut in the logarithm in the definition of the function $\Psi$ in (5.2) at $\arg z=\arg\sqrt{\lambda}$. For real $x$ and $-\pi<\arg\lambda\le\pi$, this means
\begin{equation}
\tilde f_W(x,\lambda)=
\begin{cases}
f_W(x,\lambda), & x>0,\\
f_W(x,\lambda)-\dfrac{\pi}{\sqrt{\lambda}}f_M(x,\lambda), & x<0.
\end{cases}
\end{equation}

Now it follows from (5.13), (5.14) and (5.15) that
\begin{equation}
b_{f_M}(\cdot,\lambda)=
\begin{pmatrix}
0\\
2i\sqrt{\lambda}\\
0\\
-2i\sqrt{\lambda}
\end{pmatrix},
\qquad
b_{\tilde f_W}(\cdot,\lambda)=
\begin{pmatrix}
1\\
-c_{\lambda}(1)-i\pi\\
-1\\
c_{\lambda}(1)
\end{pmatrix}.
\end{equation}

These vectors span the kernel of the $2\times4$ matrix $B_{-i\pi}$. Therefore, the operator which was considered in \cite{4} is (up to its sign) $T_{-i\pi}$.

In order to study the asymptotic behaviour of the functions $f_M$ and $f_W$ for $\lambda\to\infty$, we use the following relations \cite{2,16}:
\begin{equation}
\Phi(\alpha,\beta,z)=\frac{\Gamma(\beta)e^{i\alpha\pi\,\mathrm{sgn}\,\mathrm{Im}\,z}}{\Gamma(\beta-\alpha)}z^{-\alpha}+\frac{\Gamma(\beta)}{\Gamma(\alpha)}e^{z}z^{\alpha-\beta}
+O(z^{-\alpha-1})+O(e^{z}z^{\alpha-\beta-1}),
\tag{5.16}
\end{equation}
\begin{equation}
\Psi(\alpha,\beta,z)=z^{-\alpha}+O(z^{-\alpha-1})
\tag{5.17}
\end{equation}
if $z\to\infty$. The expansion (5.16) holds in the sector $-\pi<\arg z<\pi$, the expansion (5.17) in the sector $-3\pi/2<\arg z<3\pi/2$. If $x\in\mathbb{R}\setminus\{0\}$ is fixed, then for $\kappa\to0$,
\begin{equation}
\Gamma(1\pm\kappa)=1+O(\kappa), \qquad e^{\pm i\pi(1-\kappa)}=-1+O(\kappa), \qquad z^{\kappa}=e^{\kappa(\ln x-\ln\kappa)}=1+O(\kappa\ln\kappa).
\end{equation}
doctrine from the influence of what may have been some of its sources, the doctrines which we have just observed about excuse, splitting, and mitigation of damages. He argues strongly, to the reviewer's mind unanswerably, for the extension of liability for anticipatory repudiation to all types of contracts.

In connection with one interesting set of problems usually involving both present breach and anticipatory repudiation, Professor Corbin anticipates the flexible treatment of problems of remedy which he carries forward in Volume Five. It has been observed both by other writers and by courts that the treatment of the recovery of the insured in case of "total" and "permanent" disability under a disability insurance policy is introducing a new principle among the principles governing the relationship between what have been called "legal" and "equitable" remedies in our system. As in the case of the recovery by the promisee who has secured the promisor's indefeasible obligation to a donee beneficiary, the "legal" remedy in the case of total and permanent disability is at best clumsy and ineffective to give a sure equivalent of performance. Under these circumstances, and perhaps in a considerable range of "splitting" problems, it will be increasingly recognized by courts that recovery of damages should be refused while a decree for specific performance may be granted. As this evolution proceeds, it may be expected to develop a flexible attitude toward available remedies generally. Subject to whatever safeguards about jury trial may be thought necessary, courts will increasingly feel free to apply whatever remedy will most effectively protect the security of transactions, which is the leading concern of contract law.

The readable character of Professor Corbin's treatise is one significant feature of a group of related qualities. They include a sense of form and motion, of stability and growth, which pervades the whole work. There is shrewd but quiet criticism of points of current doctrine, together with respect for others' views, and for the law as it is. To one who does not know the author, the book conveys the impression of someone who combines to a marked degree the qualities of urbanity and vitality.

Malcolm Sharp\footnote{Professor of Law, University of Chicago.}

\section{Volume Five}

\subsection{Part VI: Breach of Contract---Judicial Remedies \S\S 990--1227}

I count it an honor and a privilege to be asked to review a volume of Corbin on Contracts. And I am especially pleased that the assignment is of my favorite Volume, number Five, dealing with Remedies.

It seems to me that I can claim some sort of at least avuncular or nepotal relationship to the work. When, as a student, I watched with bated breath the offeree desperately trying to reach the top of the flag pole in time, I knew, as we all did then, that he---or at least some lineal descendant---was eventually to be captured in book form. By the time I joined the Yale faculty, over
and individual motivation. The promotion of education for people with diabetes is a fundamental premise in diabetes therapy, with the purpose of making them autonomous, and to know how to manage the disease on a daily basis. Training strategies addressed to people with diabetes should be based on an educational intervention aimed at optimising metabolic control, planning individual or group educational processes based on personal and cultural characteristics of each person, and ensuring the evaluation of the educational process and the integration of learning in everyday practices of each person.

\section{Monitoring of the National Programme for Diabetes}

The implementation of the National Programme for Diabetes is assessed through the following process and outcome indicators compared to the national population of identified people with diabetes. It is the responsibility of the Regional Health Administrations, in coordination with the Director of the National Programme for Diabetes, to set the targets for these indicators at the level of their regions, taking into account their different starting points and their particular contexts of implementation:

\begin{itemize}
\item[a)] Prevalence of diabetes;
\item[b)] Incidence of diabetes;
\item[c)] Prevalence of gestational diabetes;
\item[d)] No. of people with diabetes registered in Primary Healthcare;
\item[e)] \% of people with diabetes with HbA1c $\leq 6.5$ and \% with HbA1c $\geq 8.0$;
\item[f)] \% of people with diabetes with blood pressure $<130/80$;
\item[g)] \% of people with diabetes with LDL-cholesterol $\leq 100$ mg/dl (mmol/L);
\item[h)] \% of people with diabetes with body mass index $\geq 25$ kg/m$^2$, $\geq 30$ kg/m$^2$ and $\geq 35$ kg/m$^2$;
\item[i)] \% of people with diabetes with microalbuminuria $>30$ mg/g creatinuria;
\item[j)] \% of people with diabetes under foot observation;
\item[k)] No. of people with diabetes subject to retinopathy screening;
\item[l)] No. of smokers with diabetes;
\item[m)] No. of admissions due to diabetes;
\item[n)] No. of days of hospitalisation due to diabetes;
\item[o)] No. of people with diabetes submitted to bariatric surgery;
\item[p)] No. of lower limb amputations due to diabetes (major and minor);
\item[q)] No. of patients on dialysis due to diabetes;
\item[r)] No. of blind and partially-sighted people due to diabetes;
\item[s)] No. of potential years of life lost due to diabetes;
\end{itemize}
reside in practices but has to be introduced from outside or from theory. The contribution of an STS-informed analysis can be to entangle the different prevailing normativities \cite{Zuident-Jerak_2007}. I will examine the different normative claims actors make in the debates surrounding MDR-TB and the challenges of balancing standards and local adaptation.

\section{Handling the challenge of adherence to DOTS Plus differently}

According to most actors I spoke to, balancing between standardized treatment and local adaptation is one of the main challenges of MDR-TB treatment in India. This becomes particularly clear in discussions around treatment adherence. In this section I will examine how the TB programme and its decision-makers, patients and the team at the first treatment site respond to the challenge of treatment adherence. The focus on the TB programme and its decision-makers represents the general and widespread position of the TB programme and its proponents at national levels towards standardization and local adaptation.

\subsection{The TB programme and its decision-makers: Limiting local adaptation with guidelines}

From the perspective of a TB programme consultant at the Central TB Division in Delhi, the biggest challenges with regard to MDR-TB treatment delivery are the treatment adherence of patients and of the staff and an expected high rate of defaulters when scaling-up the DOTS Plus services across the country (Interview, RNTCP consultant -1, Delhi, 15.1.2009). According to a TB programme officer, the main challenge is patients’ compliance with the treatment, which needs a serious commitment from both the patient and the health workers. The programme officer argues: "in order to prevent MDR-TB, one has to push patients to compliance (...) Compliance is the only thing that matters!" (Interview, Hyderabad, 21.1.2008). The TB programme officers emphasize that the creation of extreme drug-resistant TB (XDR-TB) needs to be avoided and that the curative power of the second-line drugs needs to be protected, which is at risk when MDR-TB is over- or underdiagnosed and treatment is mismanaged, interrupted or inadequate. Effectiveness of MDR-TB treatment means for programme officers to stop transmission of MDR-TB and reach programmatic targets of cure and detection rate. Local adaptation of treatment guidelines is perceived to be risky and is not fostered, because it needs capacity which is often too weak across the Indian healthcare system, it might create demand that cannot be stilled by the TB programme everywhere and it potentially challenges the status quo of established control practices. The programme officers handle the tension between adherence to standardized treatment and response to local challenges by arguing for strict standardization of drug delivery \cite{CTD_2010}. Patients need to be directly observed to avoid defaulting and strict guidelines need to be applied to cope with the weak health system capacities. Underlying this perspective seems to be the concern that local adaptation
The last validity test carried out in this study was the interest study variable. In this variable, there are four indicators with 8 statement items. Following are the results of the validity test on this variable:

\begin{table}[h]
\centering
\caption{Interest Study Validity Test Results (Y)}
\label{tab:table_4}
\begin{tabular}{llll}
\hline
Statement Items & r Count & r table (0,05) & Information \\
\hline
Statement 1 & 0,432 & 0,197 & Valid \\
Statement 2 & 0,512 & 0,197 & Valid \\
Statement 3 & 0,645 & 0,197 & Valid \\
Statement 4 & 0,589 & 0,197 & Valid \\
Statement 5 & 0,478 & 0,197 & Valid \\
Statement 6 & 0,543 & 0,197 & Valid \\
Statement 7 & 0,459 & 0,197 & Valid \\
Statement 8 & 0,433 & 0,197 & Valid \\
\hline
\end{tabular}
\end{table}

Data Source SPSS 2023

Based on the results of the validity test on the dependent variable, namely the interest study, the results can be seen in Table~\ref{tab:table_4} above. From the test results, it is known that all statement items are valid. This indicates that further data testing can be carried out, namely the reliability test on the questionnaire.

\section{Research Reliability Test Results}
The reliability test is an instrument test that, when used several times to measure the same object, will produce the same or reliable data \cite{Ghazali_2013}. The reliability test must also meet the Cronbach Alpha value criteria, which must be greater than 0.60. The following are the results of the reliability test in this study:

\begin{table}[h]
\centering
\caption{Reliability Test Results for All Research Variables}
\label{tab:table_5}
\begin{tabular}{llll}
\hline
Variable & Cronbach's Alpha & r teori & Information \\
\hline
Brand Image (X1) & 0,934 & 0,600 & Reliable \\
Payment System (X2) & 0,882 & 0,600 & Reliable \\
Promotion (X3) & 0,842 & 0,600 & Reliable \\
Interest Study (Y) & 0,876 & 0,600 & Reliable \\
\hline
\end{tabular}
\end{table}

Data Source SPSS 2023

Based on reliability testing, all variables from this study are reliable. This can be seen from the results in Table~\ref{tab:table_5} above. It is known that the Cronbach Alpha value of all statement items for each research variable is more significant than 0.60.

\section{Normality Test Results}
The next test is the normality test. The normality test is a test conducted to find out whether the data is normally distributed or not. The normality test was performed using the Kolmogorov-Smirnov test. A good research or scientific work is one whose data can be normally distributed. Following are the results of the data normality test using the Kolmogorov-Smirnov test in this study, which can be seen in Table 6 below:
\section{Ab ins Grüne - Eine Einladung zum Retreat}
Retreat: ist das englische Wort für "Rückzug". Wir möchten Sie einladen zu einer spirituellen Ruhephase im Wald. Wir werden eine Wegstrecke durch den Wald zurücklegen, die für normal gesunde Menschen gut zu bewältigen ist.

"Es gibt eine Kraft aus der Ewigkeit und diese ist grün"
(Hildegard von Bingen)

Im 12. Jahrhundert schrieb die Heilige Hildegard schon über die stärkende Wirkung der heilsamen Kräfte der Natur. Wir möchten Sie mitnehmen auf einen heilsamen, spirituellen und gemeinschaftlichen Weg.

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

\section{Tagesablauf}
Von 10.00 Uhr bis 16.00 Uhr werden wir uns in und um das Kloster in Medingen aufhalten. Waldpädagogin Caroline Rothe begleitet uns mit interessanten Informationen über den Wald. Kaita Rinke wird uns meditative Impulse zum Innehalten mitbringen.

Mittags werden wir uns aus den mitgebrachten Lebensmitteln eine schmackhafte Gemüsesuppe zubereiten.

\begin{figure}
\centering
\includegraphics{figure_2.pdf}
\label{figure_2}
\end{figure}

\section{Caroline Rothe, Waldpädagogin}
Ich bin geboren und aufgewachsen in Hannover. Dort habe ich 1981 mein Abitur gemacht und danach in Hamburg Illustration an der FH für Gestaltung.

Arbeite freiberuflich als Diplomillustratorin. Bilderbücher und Ausstellungen (Landschaftsaquarelle) folgten. Bin verheiratet und habe zwei Söhne.

Seit 2007 bin ich Naturerlebnisführerin für Kinder durch den Naturpark Lüneburger Heide. Die ersten Natur-Kinderworkshops entstanden.

2013 folgte die Weiterbildung zur Waldpädagogin durch die Niedersächsischen Landesforsten (NLF). Ab und bin seitdem als freiberufliche Waldpädagogin und Landschaftsführerin tätig, unter anderem für den NABU Uelzen und die NLF.

www.waldwärts.de

\begin{figure}
\centering
\includegraphics{figure_3.pdf}
\label{figure_3}
\end{figure}