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The objective of this scoping review is to understand the extent and quality of research, evidence, legislative and policies, in relation to the impact of health inequalities in children and young people with long-term health conditions.

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Perma.cc archive of https://ideas.repec.org/p/ehl/lserod/100738.html created on 2022-08-12 03:35:51.022648+00:00.

For noncomposite systems in classical and quantum domains, we obtain new inequalities such as the subadditivity and strong subadditivity conditions for Shannon entropies and information determined by the probability distributions and for von Neumann entropies of quantum states determined by the density operators. We extend the relations of Shannon and Tsallis entropies to the entropies of conditional probability distributions known for composite systems to the case of noncomposite systems. We give a review of the approach to construct the tomographic-probability distributions for qudit systems and present the entropic and information inequalities for spin tomograms, as well as the subadditivity and strong subadditivity conditions for tomograms of the both noncomposite and composite system states.

Explore the existing quantitative and qualitative evidence on ethnic health inequalities in paediatric IgE mediated food allergies.

Explore the existing quantitative and qualitative evidence on ethnic health inequalities in paediatric IgE mediated food allergies.

Explore the existing quantitative and qualitative evidence on ethnic health inequalities in paediatric IgE mediated food allergies.

In this paper, we prove some new inequalities of Hadamard-type for s-convex functions on the co-ordinates.

In this paper, we extend some estimates of the left hand side of a Hermite- Hadamard type inequality for nonconvex functions whose derivatives absolute values are preinvex and log-preinvex.

In this paper, we extend some estimates of the left hand side of a Hermite- Hadamard type inequality for nonconvex functions whose derivatives absolute values are preinvex and log-preinvex.

The probability distribution function for an out of equilibrium system may sometimes be approximated by a physically motivated "trial" distribution. A particularly interesting case is when a driven system (e.g., active matter) is approximated by a thermodynamic one. We show here that every set of trial distributions yields an inequality playing the role of a generalization of the second law. The better the approximation is, the more constraining the inequality becomes: this suggests a criterion for its accuracy, as well as an optimization procedure that may be implemented numerically and even experimentally. The fluctuation relation behind this inequality, -a natural and practical extension of the Hatano-Sasa theorem-, does not rely on the a priori knowledge of the stationary probability distribution.

Consider a gambler who observes a sequence of independent, non-negative random numbers and is allowed to stop the sequence at any time, claiming a reward equal to the most recent observation. The famous prophet inequality of Krengel, Sucheston, and Garling asserts that a gambler who knows the distribution of each random variable can achieve at least half as much reward, in expectation, as a "prophet" who knows the sampled values of each random variable and can choose the largest one. We generalize this result to the setting in which the gambler and the prophet are allowed to make more than one selection, subject to a matroid constraint. We show that the gambler can still achieve at least half as much reward as the prophet; this result is the best possible, since it is known that the ratio cannot be improved even in the original prophet inequality, which corresponds to the special case of rank-one matroids. Generalizing the result still further, we show that under an intersection of p matroid constraints, the prophet's reward exceeds the gambler's by a factor of at most O(p), and this factor is also tight. Beyond their interest as theorems about pure online algorithms or optimal stopping rules, these results also have applications to mechanism design. Our results imply improved bounds on the ability of sequential posted-price mechanisms to approximate Bayesian optimal mechanisms in both single-parameter and multi-parameter settings. In particular, our results imply the first efficiently computable constant-factor approximations to the Bayesian optimal revenue in certain multi-parameter settings.

We establish fractional Hardy-type inequalities in a bounded domain with plump complement. In particular our results apply in bounded C^\infty domains and Lipschitz domains.

Andrews, Chan, and Kim recently introduced a modified definition of crank and rank moments for integer partitions that allows the study of both even and odd moments. In this paper, we prove the asymptotic behavior of these moments in all cases, and our main result states that while the two families of moment functions are asymptotically equal, the crank moments are always asymptotically larger than the rank moments. Andrews, Chan, and Kim primarily focused on one case, and proved the stronger result that the first crank moment is strictly larger than the first rank moment for all partitions by showing that the difference is equal to a combinatorial statistic on partitions that they named the ospt-function. Our main results therefore also give the asymptotic behavior of the ospt-function, and we further determine its behavior modulo 2 by relating its parity to Andrews spt-function.

In this paper, the existence of limit cycles for a class of nonlinear systems is explored. Based on the time-domain approach with differential and integral inequalities, the phenomenon of the stable limit cycle can be accurately verified for such nonlinear systems. Furthermore, the exponentially stable limit cycles, frequency of oscillation, and guaranteed convergence rate can be correctly calculated. Finally, some numerical simulations are provided to demonstrate the feasibility and effectiveness of the main results. Yeong-Jeu Sun"Limit Cycles Investigation for a Class of Nonlinear Systems via Differential and Integral Inequalities" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-2 | Issue-1 , December 2017, URL: http://www.ijtsrd.com/papers/ijtsrd7049.pdf Article URL: http://www.ijtsrd.com/mathemetics/applied-mathamatics/7049/limit-cycles-investigation-for-a-class-of-nonlinear-systems-via-differential-and-integral-inequalities/yeong-jeu-sun

Measurement scenarios containing events with relations of exclusivity represented by pentagons, heptagons, nonagons, etc., or their complements are the only ones in which quantum probabilities cannot be described classically. Interestingly, quantum theory predicts that the maximum values for any of these graphs cannot be achieved in Bell inequality scenarios. With the exception of the pentagon, this prediction remained experimentally unexplored. Here we test the quantum maxima for the heptagon and the complement of the heptagon using three- and five-dimensional quantum states, respectively. In both cases, we adopt two different encodings: linear transverse momentum and orbital angular momentum of single photons. Our results exclude maximally noncontextual hidden-variable theories and are in good agreement with the maxima predicted by quantum theory.

Measurement scenarios containing events with relations of exclusivity represented by pentagons, heptagons, nonagons, etc., or their complements are the only ones in which quantum probabilities cannot be described classically. Interestingly, quantum theory predicts that the maximum values for any of these graphs cannot be achieved in Bell inequality scenarios. With the exception of the pentagon, this prediction remained experimentally unexplored. Here we test the quantum maxima for the heptagon and the complement of the heptagon using three- and five-dimensional quantum states, respectively. In both cases, we adopt two different encodings: linear transverse momentum and orbital angular momentum of single photons. Our results exclude maximally noncontextual hidden-variable theories and are in good agreement with the maxima predicted by quantum theory.

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Inequalities play a fundamental role in nearly all branches of mathematics -- especially so in probability and statistics. The impact of basic inequalities such as those that carry the names of Cauchy-Schwarz, Chebyshev, Cramer-Rao, and Bonferroni in statistics is well known. Inequalities have been profitably used to obtain bounds for probabilities that are more tedious to compute or analytically impossible to handle. Especially in reliability problems, the limited assumptions that could be made about the nature of the life distributions of the components of a system as well as the structure of the system itself render inequalities pervades through nearly all branches of mathematics, significant contributions have been made by a very large number of researchers whose efforts span well over a century. From time to time, books and monographs have been written which are completely devoted to inequalities.

Biases based on gender and ethnicity in computer software available to schools were investigated in this study. A random sample of 15 software programs were selected and evaluated on the bases of gender and ethnicity. Data were gathered on the number of male and female characters portrayed and on the cross-cultural dimensions of the software in order to determine if it would appeal to a cross section of children from varying backgrounds, or whether it had been prepared with a particular audience in mind, e.g., Anglo-Saxon males. The data showed that, from a quantitative perspective, patterns of gender and ethnic imbalance previously documented in textbooks are also present in current educational software available to students. Of the 1,942 characters noted in the graphics and text of the evaluated software, 63% were males and only 3% of the characters could be identified as ethnic. In order to clearly understand the dimensions of these biases, a quantitative examination of the roles and activities found within the software was undertaken. Similar ethnicity and gender trends were found, with males dominating the character roles (63%) while observable ethnic characters were limited to only 3%. When these roles and activities were divided into separate categories, males were portrayed in more categories, and as more active characters, including adventure, military, and science and technology roles, while females were limited to 41 more passive roles. Ethnic roles were also limited, but ethnic female roles were even more limited than ethnic males roles. (5 tables, a list of the 15 evaluated software packages, and 6 references) (EW)

This paper describes a new method for finding nontrivial solutions of the inequality Ax or = 0, where A is an mxn matrix of rank n. The method is based on the observation that a certain function f has a unique minimum if and only if the inequality fails to have a nontrivial solution. Moreover, if there is a solution, the direction of divergence of an attempt to minimize f will converge to a solution. The technique can also be used to solve inhomogeneous inequalities and hence linear programming problems, although no claims are made about competitiveness with existing methods.

We develop a new method of proving vector-valued estimates in harmonic analysis, which we like to call "the helicoidal method". As a consequence of it, we are able to give affirmative answers to some questions that have been circulating for some time. In particular, we show that the tensor product $BHT \otimes \Pi$ between the bilinear Hilbert transform $BHT$ and a paraproduct $\Pi$ satisfies the same $L^p$ estimates as the $BHT$ itself, solving completely a problem introduced in a paper of Muscalu, Pipher, Tao and Thiele. Then, we prove that for "locally $L^2$ exponents" the corresponding vector valued $\overrightarrow{BHT}$ satisfies (again) the same $L^p$ estimates as the $BHT$ itself. Before the present work there was not even a single example of such exponents. Finally, we prove a bi-parameter Leibniz rule in mixed norm $L^p$ spaces, answering a question of Kenig in nonlinear dispersive PDE.

Language policy is crucial to any society's cultural and political fabric, as it shapes how individuals and groups communicate, interact, and identify. Language policy has important implications for nation-building and the creation of national identity. Language policy can also significantly impact university students' sense of belonging. Overt and inclusive policies can provide opportunities for students to develop language skills and cultural competencies, enhancing their academic and professional opportunities. Covert and implicit policies can create barriers to interaction between different language groups, leading to social fragmentation, exclusion, and discrimination. Overt language policies are those that are openly acknowledged and implemented, while covert policies are those that are more subtle and may be hidden. Overt language policies that promote a single national language can unite diverse groups within a nation. However, these policies can also lead to the suppression of linguistic and cultural diversity within a nation, potentially undermining the cultural richness of that society. Covert language policies can also have significant impacts on identity and national unity. For example, language policies not openly acknowledged can lead to confusion or mistrust among different language groups. These policies can reinforce power imbalances between language groups, perpetuating existing inequalities. Considering these concepts, this study aimed to answer the following questions: (1) What LP has been implemented in Kyrgyzstan? (2) How has LP affected university students? Information on the language policy implemented in Kyrgyzstan was necessary to answer the first question, which involved examining laws, banknotes, newspaper titles, and dissertation catalogs. It was necessary to gather data on how the language policy has affected the students to answer the second question. In addition, in-depth interviews with LP experts helped clarify both questions. The collected information was analyzed using textual analysis and statistical methods. Data analysis showed that different models of language policy were implemented in Kyrgyzstan, including multilingualism, bilingualism, and monolingualism. Overt, covert, and vague LP were used to promote these models. These models and methods have formed segregated communities, language discrimination, and different linguistic identities within the same ethnic groups.

In this paper, we deal with the solutions of systems of PDEs with bilateral inter-connected obstacles of min-max and max-min types. These systems arise naturally in stochastic switching zero-sum game problems. We show that when the switching costs of one side are regular, the solutions of the min-max and max-min systems coincide. Then, this common viscosity solution is related to a multi-dimensional doubly reflected BSDE with bilateral interconnected obstacles. Finally, its relationship with the the values of a zero-sum switching game is studied.

We analyse the problem of stability of a continuous time linear switching system (LSS) versus the stability of its Euler discretization. It is well-known that the existence of a positive {\tau} for which the corresponding discrete time system with step size {\tau} is stable implies the stability of LSS. Our main goal is to obtain a converse statement, that is, to estimate the discretization step size {\tau} > 0 up to a given accuracy {\epsilon} > 0. This leads to a method of deciding the stability of continuous time LSS with a guaranteed accuracy. As the first step, we solve this problem for matrices with real spectrum and conjecture that our method stays valid for the general case. Our approach is based on Markov-Bernstein type inequalities for systems of exponents. We obtain universal estimates for sharp constants in those inequalities. Our work provides the first estimate of the computational cost of the stability problem for continuous-time LSS (though restricted to the real-spectrum case).

In this paper, new sharp weighted generalizations of Ostrowski and generalized trapezoid type inequalities for the Riemann--Stieltjes integrals are proved. Several related inequalities are deduced and investigated. New Simpson's type inequalities for $\mathcal{RS}$--integral are pointed out. Finally, as application; an error estimation of a general quadrature rule for $\mathcal{RS}$--integral via Ostrowski--generalized trapezoid quadrature formula is given.

We study the extent of independence needed to approximate the product of bounded random variables in expectation, a natural question that has applications in pseudorandomness and min-wise independent hashing. For random variables whose absolute value is bounded by $1$, we give an error bound of the form $\sigma^{\Omega(k)}$ where $k$ is the amount of independence and $\sigma^2$ is the total variance of the sum. Previously known bounds only applied in more restricted settings, and were quanitively weaker. We use this to give a simpler and more modular analysis of a construction of min-wise independent hash functions and pseudorandom generators for combinatorial rectangles due to Gopalan et al., which also slightly improves their seed-length. Our proof relies on a new analytic inequality for the elementary symmetric polynomials $S_k(x)$ for $x \in \mathbb{R}^n$ which we believe to be of independent interest. We show that if $|S_k(x)|,|S_{k+1}(x)|$ are small relative to $|S_{k-1}(x)|$ for some $k>0$ then $|S_\ell(x)|$ is also small for all $\ell > k$. From these, we derive tail bounds for the elementary symmetric polynomials when the inputs are only $k$-wise independent.

In this paper we prove three power-exponential inequalities for positive real numbers. In particular, we conclude that this proofs give affirmatively answers to three, until now, open problems (conjectures~4.4, 2.1 and 2.2) posed by C{\^i}rtoaje in the following two works: "{\it J. Inequal. Pure Appl. Math.} 10, Article 21, 2009" and "{\it J. Nonlinear Sci. Appl.} 4:2:130-137, 2011". Moreover, we present a new proof of the inequality $a^{ra}+b^{rb}\ge a^{rb}+b^{ra}$ for all positive real numbers $a$ and $b$ and $r\in [0,e]$. In addition, three new conjectures are presented.

On January 17, 2008, the Japanese Central Education Council submitted a newly revised set of official curriculum guidelines to the Ministry of Education, Culture, Sports, Science and Technology (MEXT) in Japan. These guidelines for elementary schools will become effective in the 2011 academic year and include a controversial new policy: the introduction of mandatory "foreign language activities" at all public elementary schools. Japanese fifth and sixth graders will receive about one period (approximately forty-five minutes) per week of mandatory English education called "foreign language activities." Prior to implementation, these guidelines were vigorously debated by supporters and opponents of the policy. However, they have now been made official and every public and private school in Japan is required to follow them. This article identifies supporters and opponents of the policy and summarizes their arguments in order to demonstrate that neither side has ever discussed the policy in terms of the opportunity gap that exists between different segments of the Japanese population. Considering that the existence of an opportunity gap is a major issue in educational policy debates in the United States, the author argues that a similar opportunity gap exists in Japan, but that it tends to be ignored in policy debates. Next, he shows that the gap is manifested in differential access among sectors of the population to shadow education and to private schools. Finally, he evaluates the new policy in terms of narrowing this opportunity gap between students with access to shadow education and private school lessons and those without them.

On January 17, 2008, the Japanese Central Education Council submitted a newly revised set of official curriculum guidelines to the Ministry of Education, Culture, Sports, Science and Technology (MEXT) in Japan. These guidelines for elementary schools will become effective in the 2011 academic year and include a controversial new policy: the introduction of mandatory "foreign language activities" at all public elementary schools. Japanese fifth and sixth graders will receive about one period (approximately forty-five minutes) per week of mandatory English education called "foreign language activities." Prior to implementation, these guidelines were vigorously debated by supporters and opponents of the policy. However, they have now been made official and every public and private school in Japan is required to follow them. This article identifies supporters and opponents of the policy and summarizes their arguments in order to demonstrate that neither side has ever discussed the policy in terms of the opportunity gap that exists between different segments of the Japanese population. Considering that the existence of an opportunity gap is a major issue in educational policy debates in the United States, the author argues that a similar opportunity gap exists in Japan, but that it tends to be ignored in policy debates. Next, he shows that the gap is manifested in differential access among sectors of the population to shadow education and to private schools. Finally, he evaluates the new policy in terms of narrowing this opportunity gap between students with access to shadow education and private school lessons and those without them.

A new explicit bound is given for the ratio of the absolute error in an approximate solution of a system of linear inequalities and equalities to the absolute residual. This bound generalizes the concept of a norm of the inverse of a nonsingular matrix. With this bound a condition number is defined for a system of linear inequalities and equalities and for linear programs. The condition number gives a bound on the ratio of the relative error of an approximate solution to the relative residual. In the case of a strongly stable system of linear inequalities and equalities the condition number can be computed by means of a single linear program. (Author)

A new explicit bound is given for the ratio of the absolute error in an approximate solution of a system of linear inequalities and equalities to the absolute residual. This bound generalizes the concept of a norm of the inverse of a nonsingular matrix. With this bound a condition number is defined for a system of linear inequalities and equalities and for linear programs. The condition number gives a bound on the ratio of the relative error of an approximate solution to the relative residual. In the case of a strongly stable system of linear inequalities and equalities the condition number can be computed by means of a single linear program. (Author)

We consider the cardinal invariant $bd$ defined by M. D\v{z}amonja and I. Juh\'asz concerning bidiscrete systems. Using the relation between bidiscrete systems and irredundance for a compact Hausdorff space $K$, we prove that ${w(K)\leq bd(K)\cdot hL(K)^+}$, generalizing a result of S. Todorcevic concerning the irredundance in Boolean algebras and we prove that for every maximal irredundant family $\mathcal{F}\subset C(K)$, there is a $\pi$-base $\mathcal{B}$ for $K$ with $|\mathcal{F}|=|\mathcal{B}|$, a result analogous to the McKenzie Theorem for Boolean algebras in the context of compact spaces. In particular, it is a consequence of the latter result that $\pi(K)\leq bd(K)$ for every compact Hausdorff space $K$. From the relation between bidiscrete systems and biorthogonal systems, we obtain some results about biorthogonal systems in Banach spaces of the form $C(K)$.

Let $(M,g)$ be a smooth compact Riemannian manifold of dimension $n \geq 2$. This paper concerns to the validity of the optimal Riemannian $L^1$-Entropy inequality \[ {\bf Ent}_{dv_g}(u) \leq n \log \left(A_{opt} \|D u\|_{BV(M)} + B_{opt}\right) \] for all $u \in BV(M)$ with $\|u\|_{L^1(M)} = 1$ and existence of extremal functions. In particular, we prove that this optimal inequality is equivalent a optimal $L^1$-Sobolev inequality obtained by Druet [6].

We prove an inequality for unitarily invariant norms that interpolates between the Arithmetic-Geometric Mean inequality and the Cauchy-Schwarz inequality.

In this paper, we give a new inequality for convex functions of real variables, and we apply this inequality to obtain considerable generalizations, refinements, and reverses of the Young and Heinz inequalities for positive scalars. Applications to unitarily invariant norm inequalities involving positive semidefinite matrices are also given.

Addressing health inequalities has become increasingly important in the context of global aging. The application of machine learning (ML) in social and health research offers new opportunities to tackle health disparities among older populations, with the number of publications in this area growing across disciplines. However, a comprehensive overview of the most prominent applications of ML in studying health inequalities among older adults is lacking. This study aims to bridge this gap by mapping the key areas of application and methods used, providing guidance for researchers exploring health inequalities in late life.

We study the faces of the set of quantum correlations, i.e., the Bell and noncontextuality inequalities without any quantum violation. First, we investigate the question whether every proper (tight) Bell inequality for two parties, other than the trivial ones from positivity, normalization and no-signaling can be violated by quantum correlations, i.e., whether the classical Bell polytope or the smaller correlation polytope share any facets with their respective quantum sets. To do this, we develop a recently derived bound on the quantum value of linear games based on the norms of game matrices to give a simple sufficient condition to identify linear games with no quantum advantage. Additionally we show how this bound can be extended to the general class of unique games, illustrating it for the case of three outcomes. We then show as a main result that the paradigmatic examples of correlation Bell inequalities with no quantum violation, namely the non-local computation games do not constitute tight Bell inequalities, not even for the correlation polytope. We also extend this to an arbitrary prime number of outcomes for a specific class of these games. We then study the faces in the simplest CHSH Bell scenario of binary dichotomic measurements, and identify edges in the set of quantum correlations in this scenario. Finally, we relate the non-contextual polytope of single-party correlation inequalities with the cut polytope $CUT(\nabla G)$, where $G$ denotes the compatibility graph of observables in the contextuality scenario and $\nabla G$ denotes the suspension graph of $G$. We observe that there exist tight non-contextuality inequalities with no quantum violation, and furthermore that this set of inequalities is beyond those implied by the Consistent Exclusivity principle.

We study the faces of the set of quantum correlations, i.e., the Bell and noncontextuality inequalities without any quantum violation. First, we investigate the question whether every proper (tight) Bell inequality for two parties, other than the trivial ones from positivity, normalization and no-signaling can be violated by quantum correlations, i.e., whether the classical Bell polytope or the smaller correlation polytope share any facets with their respective quantum sets. To do this, we develop a recently derived bound on the quantum value of linear games based on the norms of game matrices to give a simple sufficient condition to identify linear games with no quantum advantage. Additionally we show how this bound can be extended to the general class of unique games, illustrating it for the case of three outcomes. We then show as a main result that the paradigmatic examples of correlation Bell inequalities with no quantum violation, namely the non-local computation games do not constitute tight Bell inequalities, not even for the correlation polytope. We also extend this to an arbitrary prime number of outcomes for a specific class of these games. We then study the faces in the simplest CHSH Bell scenario of binary dichotomic measurements, and identify edges in the set of quantum correlations in this scenario. Finally, we relate the non-contextual polytope of single-party correlation inequalities with the cut polytope $CUT(\nabla G)$, where $G$ denotes the compatibility graph of observables in the contextuality scenario and $\nabla G$ denotes the suspension graph of $G$. We observe that there exist tight non-contextuality inequalities with no quantum violation, and furthermore that this set of inequalities is beyond those implied by the Consistent Exclusivity principle.

We study the faces of the set of quantum correlations, i.e., the Bell and noncontextuality inequalities without any quantum violation. First, we investigate the question whether every proper (tight) Bell inequality for two parties, other than the trivial ones from positivity, normalization and no-signaling can be violated by quantum correlations, i.e., whether the classical Bell polytope or the smaller correlation polytope share any facets with their respective quantum sets. To do this, we develop a recently derived bound on the quantum value of linear games based on the norms of game matrices to give a simple sufficient condition to identify linear games with no quantum advantage. Additionally we show how this bound can be extended to the general class of unique games, illustrating it for the case of three outcomes. We then show as a main result that the paradigmatic examples of correlation Bell inequalities with no quantum violation, namely the non-local computation games do not constitute tight Bell inequalities, not even for the correlation polytope. We also extend this to an arbitrary prime number of outcomes for a specific class of these games. We then study the faces in the simplest CHSH Bell scenario of binary dichotomic measurements, and identify edges in the set of quantum correlations in this scenario. Finally, we relate the non-contextual polytope of single-party correlation inequalities with the cut polytope $CUT(\nabla G)$, where $G$ denotes the compatibility graph of observables in the contextuality scenario and $\nabla G$ denotes the suspension graph of $G$. We observe that there exist tight non-contextuality inequalities with no quantum violation, and furthermore that this set of inequalities is beyond those implied by the Consistent Exclusivity principle.

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This registration contains the preregistration document for our paper, which will consist of secondary data analysis of the first wave of data from the #BeeWell study to investigate the prevalence, inequalities and sequelae of bullying in adolescence.

PILOT STUDY, NOT INCLUDED IN THE PAPER. An experiment in which participants become a member of a low status group, facing a powerful outgroup. We examine the impact of different explanations of inequalities on internal attribution for poverty and wealth. This experiment was not kept in the manuscript.

This registration contains the pre-registration protocol for a research project investigating inequalities in language ability in two nationally representative British birth cohort studies (the Millennium Cohort Study and the 1970 British Cohort Study).

Perma.cc archive of https://yiqinfu.github.io/posts/china-college-admissions-regional-inequalities-tsinghua/ created on 2022-05-13 23:54:04.398203+00:00.

Our Island Story was first published in 1905 and became an instant classic. Beginning with the Romans and following the triumphs and foibles of the good, not so good and the downright despicable figures of history; we are treated to a dazzling montage of kings, queens, barons, knights, explorers, movers and shakers that have played a key role in the history of England. Marshall freely mixes folk tale with historical fact and in so doing paints a very vivid picture of the past in a style reminiscent of all that is finest in the children’s story telling tradition.This is the first section of that work and will carry you from the time when Tacitus first sang the praises of Britannica to his Roman readers up to the vicious and bloodthirsty confusion that is the War of the Roses (about 1500 years). (Summary by Jim)<br /><br />Part 2 of this book may be found at <a href="http://librivox.org/our-island-story-part-2-by-he-marshall/" target="_blank">http://librivox.org/our-island-story-part-2-by-he-marshall/</a>.

Our Island Story was first published in 1905 and became an instant classic. Beginning with the Romans and following the triumphs and foibles of the good, not so good and the downright despicable figures of history; we are treated to a dazzling montage of kings, queens, barons, knights, explorers, movers and shakers that have played a key role in the history of England. Marshall freely mixes folk tale with historical fact and in so doing paints a very vivid picture of the past in a style reminiscent of all that is finest in the children’s story-telling tradition. This is the second section of that work and will carry you from the convoluted and bloody ‘Wars of the Roses’ up to the death of Queen Victoria and the resolution of the Boer War. Please be advised that this book was written in the early years of the 20th century and there will be words and phrases used then, in all innocence, that are considered politically incorrect in this age. It’s perfectly fine for children to listen to but please ensure there is someone on hand who can explain these terms in a mature fashion.(Summary by Jim)<br /><br />Part 1 of this book may be found at <a href="https://librivox.org/our-island-story-part-1-by-he-marshall/" target="_blank">https://librivox.org/our-island-story-part-1-by-he-marshall/</a>.

3This Country of Ours, Part 1

By Henrietta Elizabeth Marshall

Another fine history book for children! Published in 1917, Marshall&#8217;s book of stories from the history of the United States begins with accounts of exploration and settlement, and ends with the presidency of Woodrow Wilson.<br /><br /> This is Part 1: Stories of Explorers and Pioneers, from Leif Ericson to Sir Walter Raleigh. Read along and view the original illustrations at <a href="http://www.mainlesson.com/display.php?author=marshall&book=country&story=_contents">mainlesson.com</a>. <br /><br /> Part 2: <a href="http://librivox.org/this-country-of-ours-part-2-by-h-e-marshall/">http://librivox.org/this-country-of-ours-part-2-by-h-e-marshall/</a><br /> Part 3: <a href="http://librivox.org/this-country-of-ours-part-3-by-h-e-marshall/">http://librivox.org/this-country-of-ours-part-3-by-h-e-marshall/</a><br /> Part 4: <a href="http://librivox.org/this-country-of-ours-part-4-by-h-e-marshall/">http://librivox.org/this-country-of-ours-part-4-by-h-e-marshall/</a><br /> Part 5: <a href="http://librivox.org/this-country-of-ours-part-5-by-h-e-marshall/">http://librivox.org/this-country-of-ours-part-5-by-h-e-marshall/</a><br /> Part 6: <a href="http://librivox.org/this-country-of-ours-part-6-by-h-e-marshall/">http://librivox.org/this-country-of-ours-part-6-by-h-e-marshall/</a><br /> Part 7: <a href="http://librivox.org/this-country-of-ours-part-7-by-henrietta-elizabeth-marshall/">http://librivox.org/this-country-of-ours-part-7-by-henrietta-elizabeth-marshall/</a><br />(Summary by Kara)

4Sinking of the Titanic and Great Sea Disasters

By Logan Marshall

This is a detailed and accurate account of the most awful marine disaster in history, constructed from the real facts as obtained from those on board who survived (gutenberg.org)

Principles of Economics was a leading economics textbook of Alfred Marshall (1842-1924), first published in 1890. Marshall began writing the book in 1881, and he spent much of the next decade at work on it.<br /><br />His plan for the work gradually extended to a two-volume compilation on the whole of economic thought; the first volume was published in 1890 to worldwide acclaim that established him as one of the leading economists of his time. It brought the ideas of supply and demand, of marginal utility and of the costs of production into a coherent whole, and became the dominant economic textbook in England for a long period. The second volume, which was to address foreign trade, money, trade fluctuations, taxation, and collectivism, was never published at all. (Summary from Wikipedia)<br /><br />This reading is based on the eighth edition, published in 1920.

Principles of Economics was a leading economics textbook of Alfred Marshall (1842-1924), first published in 1890. Marshall began writing the Principles of Economics in 1881 and he spent much of the next decade at work on the treatise. His plan for the work gradually extended to a two-volume compilation on the whole of economic thought; the first volume was published in 1890 to worldwide acclaim that established him as one of the leading economists of his time. It brought the ideas of supply and demand, of marginal utility and of the costs of production into a coherent whole, and became the dominant economic textbook in England for a long period. The second volume, which was to address foreign trade, money, trade fluctuations, taxation, and collectivism, was never published at all. (Wikipedia)<br /><br />The recording is based on the eighth edition, published in 1920.

7Myths and Legends of All Nations

By Logan Marshall

This excellent book contains many great stories from the various mythologies of man throughout the ages.

Principles of Economics was a leading economics textbook of Alfred Marshall (1842-1924), first published in 1890. Marshall began writing the book in 1881, and he spent much of the next decade at work on it.<br /><br />His plan for the work gradually extended to a two-volume compilation on the whole of economic thought; the first volume was published in 1890 to worldwide acclaim that established him as one of the leading economists of his time. It brought the ideas of supply and demand, of marginal utility and of the costs of production into a coherent whole, and became the dominant economic textbook in England for a long period. The second volume, which was to address foreign trade, money, trade fluctuations, taxation, and collectivism, was never published at all. (Summary from Wikipedia)<br /><br />This reading is based on the eighth edition, published in 1920.

Principles of Economics was a leading economics textbook of Alfred Marshall (1842-1924), first published in 1890. Marshall began writing the book in 1881, and he spent much of the next decade at work on it.<br /><br />His plan for the work gradually extended to a two-volume compilation on the whole of economic thought; the first volume was published in 1890 to worldwide acclaim that established him as one of the leading economists of his time. It brought the ideas of supply and demand, of marginal utility and of the costs of production into a coherent whole, and became the dominant economic textbook in England for a long period. The second volume, which was to address foreign trade, money, trade fluctuations, taxation, and collectivism, was never published at all. (Summary from Wikipedia)<br /><br />This reading is based on the eighth edition, published in 1920.

Principles of Economics was a leading economics textbook of Alfred Marshall (1842-1924), first published in 1890. Marshall began writing the book in 1881, and he spent much of the next decade at work on it.<br /><br />His plan for the work gradually extended to a two-volume compilation on the whole of economic thought; the first volume was published in 1890 to worldwide acclaim that established him as one of the leading economists of his time. It brought the ideas of supply and demand, of marginal utility and of the costs of production into a coherent whole, and became the dominant economic textbook in England for a long period. The second volume, which was to address foreign trade, money, trade fluctuations, taxation, and collectivism, was never published at all. (Summary from Wikipedia)<br /><br />This reading is based on the eighth edition, published in 1920.

Principles of Economics was a leading economics textbook of Alfred Marshall (1842-1924), first published in 1890. Marshall began writing the Principles of Economics in 1881 and he spent much of the next decade at work on the treatise. His plan for the work gradually extended to a two-volume compilation on the whole of economic thought.<br /><br />The first volume was published in 1890 to worldwide acclaim that established him as one of the leading economists of his time. It brought the ideas of supply and demand, of marginal utility and of the costs of production into a coherent whole, and became the dominant economic textbook in England for a long period. The second volume, which was to address foreign trade, money, trade fluctuations, taxation, and collectivism, was never published at all. (Wikipedia).<br /><br />This reading is based on the eighth edition, published in 1920.

Principles of Economics was a leading economics textbook of Alfred Marshall (1842-1924), first published in 1890. Marshall began writing the book in 1881, and he spent much of the next decade at work on it.<br /><br />His plan for the work gradually extended to a two-volume compilation on the whole of economic thought; the first volume was published in 1890 to worldwide acclaim that established him as one of the leading economists of his time. It brought the ideas of supply and demand, of marginal utility and of the costs of production into a coherent whole, and became the dominant economic textbook in England for a long period. The second volume, which was to address foreign trade, money, trade fluctuations, taxation, and collectivism, was never published at all. (Summary from Wikipedia)<br /><br />This reading is based on the eighth edition, published in 1920.

The brave warrior, Beowulf, comes to the aid of King Hrothgar when he hears that Grendel, a horrible monster, is terrorizing the inhabitants of Hart Hall. Beowulf heroically battles Grendel, the Water Witch, and a fierce dragon. (Summary by Laura Caldwell)

14This Country of Ours, Part 2

By Henrietta Elizabeth Marshall

Another fine history book for children! Published in 1917, Marshall&#8217;s book of stories from the history of the United States begins with accounts of exploration and settlement, and ends with the presidency of Woodrow Wilson.<br /><br /> This is Part 2: Stories of Virginia, from chapter 13 (Captain John Smith) to chapter 21 (The Knights of the Golden Horseshoe). Read along and view the original illustrations at <a href="http://www.mainlesson.com/display.php?author=marshall&book=country&story=_contents">mainlesson.com</a>. <br /><br /> Part 1: <a href="http://librivox.org/this-country-of-ours-part-1-by-he-marshall/">http://librivox.org/this-country-of-ours-part-1-by-he-marshall/</a><br /> Part 3: <a href="http://librivox.org/this-country-of-ours-part-3-by-h-e-marshall/">http://librivox.org/this-country-of-ours-part-3-by-h-e-marshall/</a><br /> Part 4: <a href="http://librivox.org/this-country-of-ours-part-4-by-h-e-marshall/">http://librivox.org/this-country-of-ours-part-4-by-h-e-marshall/</a><br /> Part 5: <a href="http://librivox.org/this-country-of-ours-part-5-by-h-e-marshall/">http://librivox.org/this-country-of-ours-part-5-by-h-e-marshall/</a><br /> Part 6: <a href="http://librivox.org/this-country-of-ours-part-6-by-h-e-marshall/">http://librivox.org/this-country-of-ours-part-6-by-h-e-marshall/</a><br /> Part 7: <a href="http://librivox.org/this-country-of-ours-part-7-by-henrietta-elizabeth-marshall/">http://librivox.org/this-country-of-ours-part-7-by-henrietta-elizabeth-marshall/</a><br />(Summary by Kara)

15This Country of Ours, Part 3

By Henrietta Elizabeth Marshall

Another fine history book for children! Published in 1917, Marshall's book of stories from the history of the United States begins with accounts of exploration and settlement, and ends with the presidency of Woodrow Wilson.<br /><br /> This is Part 3: Stories of New England, from chapter 22 (The Story of the Pilgrim Fathers) to chapter 34 (The Witches of Salem). Read along and view the original illustrations at <a href="http://www.mainlesson.com/display.php?author=marshall&book=country&story=_contents">mainlesson.com</a>. <br /><br /> Part 1: <a href="http://librivox.org/this-country-of-ours-part-1-by-he-marshall/">http://librivox.org/this-country-of-ours-part-1-by-he-marshall/</a><br /> Part 2: <a href="http://librivox.org/this-country-of-ours-part-2-by-h-e-marshall/">http://librivox.org/this-country-of-ours-part-2-by-h-e-marshall/</a><br /> Part 4: <a href="http://librivox.org/this-country-of-ours-part-4-by-h-e-marshall/">http://librivox.org/this-country-of-ours-part-4-by-h-e-marshall/</a></br> Part 5: <a href="http://librivox.org/this-country-of-ours-part-5-by-h-e-marshall/">http://librivox.org/this-country-of-ours-part-5-by-h-e-marshall/</a></br> Part 6: <a href="http://librivox.org/this-country-of-ours-part-6-by-h-e-marshall/">http://librivox.org/this-country-of-ours-part-6-by-h-e-marshall/</a></br> Part 7: <a href="http://librivox.org/this-country-of-ours-part-7-by-henrietta-elizabeth-marshall/">http://librivox.org/this-country-of-ours-part-7-by-henrietta-elizabeth-marshall/</a><br />(Summary by Kara)

16This Country of Ours, Part 4

By Henrietta Elizabeth Marshall

Another fine history book for children! Published in 1917, Marshall&#8217;s book of stories from the history of the United States begins with accounts of exploration and settlement, and ends with the presidency of Woodrow Wilson.<br /><br /> This is Part 4: Stories of the Middle and Southern Colonies, from chapter 35 (The Founding of Maryland) to chapter 44 (The Founding of Georgia). Read along and view the original illustrations at <a href="http://www.mainlesson.com/display.php?author=marshall&book=country&story=_contents">mainlesson.com</a>.<br /><br /> Part 1: <a href="http://librivox.org/this-country-of-ours-part-1-by-he-marshall/">http://librivox.org/this-country-of-ours-part-1-by-he-marshall/</a><br /> Part 2: <a href="http://librivox.org/this-country-of-ours-part-2-by-h-e-marshall/">http://librivox.org/this-country-of-ours-part-2-by-h-e-marshall/</a><br /> Part 3: <a href="http://librivox.org/this-country-of-ours-part-3-by-h-e-marshall/">http://librivox.org/this-country-of-ours-part-3-by-h-e-marshall/</a><br /> Part 5: <a href="http://librivox.org/this-country-of-ours-part-5-by-h-e-marshall/">http://librivox.org/this-country-of-ours-part-5-by-h-e-marshall/</a></br> Part 6: <a href="http://librivox.org/this-country-of-ours-part-6-by-h-e-marshall/">http://librivox.org/this-country-of-ours-part-6-by-h-e-marshall/</a></br> Part 7: <a href="http://librivox.org/this-country-of-ours-part-7-by-henrietta-elizabeth-marshall/">http://librivox.org/this-country-of-ours-part-7-by-henrietta-elizabeth-marshall/</a><br />(Summary by Kara)

17This Country of Ours, Part 5

By Henrietta Elizabeth Marshall

Another fine history book for children! Published in 1917, Marshall&#8217;s book of stories from the history of the United States begins with accounts of exploration and settlement, and ends with the presidency of Woodrow Wilson.<br /><br /> This is Part 5: Stories of the French in America, from chapter 45 (How the Mississippi was Discovered) to chapter 50 (The Rebellion of Pontiac). Read along and view the original illustrations at <a href="http://www.mainlesson.com/display.php?author=marshall&book=country&story=_contents">http://mainlesson.com/</a> .<br /><br /> Part 1: <a href="http://librivox.org/this-country-of-ours-part-1-by-he-marshall/">http://librivox.org/this-country-of-ours-part-1-by-he-marshall/</a><br /> Part 2: <a href="http://librivox.org/this-country-of-ours-part-2-by-h-e-marshall/">http://librivox.org/this-country-of-ours-part-2-by-h-e-marshall/</a><br /> Part 3: <a href="http://librivox.org/this-country-of-ours-part-3-by-h-e-marshall/">http://librivox.org/this-country-of-ours-part-3-by-h-e-marshall/</a><br /> Part 4: <a href="http://librivox.org/this-country-of-ours-part-4-by-h-e-marshall/">http://librivox.org/this-country-of-ours-part-4-by-h-e-marshall/</a></br> Part 6: <a href="http://librivox.org/this-country-of-ours-part-6-by-h-e-marshall/">http://librivox.org/this-country-of-ours-part-6-by-h-e-marshall/</a></br> Part 7: <a href="http://librivox.org/this-country-of-ours-part-7-by-henrietta-elizabeth-marshall/">http://librivox.org/this-country-of-ours-part-7-by-henrietta-elizabeth-marshall/</a><br />(Summary by Kara)

18This Country of Ours, Part 6

By Henrietta Elizabeth Marshall

Another fine history book for children! Published in 1917, Marshall&#8217;s book of stories from the history of the United States begins with accounts of exploration and settlement, and ends with the presidency of Woodrow Wilson.<br /><br /> This is Part 6: Stories of the Struggle for Liberty, from chapter 51 (The Boston Tea-Party) to chapter 63 (A Turning Point in the World's History). Read along and view the original illustrations at <a href="http://www.mainlesson.com/display.php?author=marshall&book=country&story=_contents">http://mainlesson.com/</a>.<br /><br /> Part 1: <a href="http://librivox.org/this-country-of-ours-part-1-by-he-marshall/">http://librivox.org/this-country-of-ours-part-1-by-he-marshall/</a><br /> Part 2: <a href="http://librivox.org/this-country-of-ours-part-2-by-h-e-marshall/">http://librivox.org/this-country-of-ours-part-2-by-h-e-marshall/</a><br /> Part 3: <a href="http://librivox.org/this-country-of-ours-part-3-by-h-e-marshall/">http://librivox.org/this-country-of-ours-part-3-by-h-e-marshall/</a><br /> Part 4: <a href="http://librivox.org/this-country-of-ours-part-4-by-h-e-marshall/">http://librivox.org/this-country-of-ours-part-4-by-h-e-marshall/</a></br> Part 5: <a href="http://librivox.org/this-country-of-ours-part-5-by-h-e-marshall/">http://librivox.org/this-country-of-ours-part-5-by-h-e-marshall/</a></br> Part 6: <a href="http://librivox.org/this-country-of-ours-part-6-by-h-e-marshall/">http://librivox.org/this-country-of-ours-part-6-by-h-e-marshall/</a><br />(Summary by Kara)

19This Country of Ours, Part 7

By Henrietta Elizabeth Marshall

Another fine history book for children! Published in 1917, Marshall&#8217;s book of stories from the history of the United States begins with accounts of exploration and settlement, and ends with the presidency of Woodrow Wilson.<br><br> This is Part 7: Stories of the United States under the Constitution, from chapter 64 (Washington First in War, First in Peace) to chapter 99 (Wilson - The Great War). Read along and view the original illustrations at <a href="http://www.mainlesson.com/display.php?author=marshall&book=country&story=_contents">mainlesson.com</a><br><br> Part 1: <a href="http://librivox.org/this-country-of-ours-part-1-by-he-marshall/">http://librivox.org/this-country-of-ours-part-1-by-he-marshall/</a><br> Part 2: <a href="http://librivox.org/this-country-of-ours-part-2-by-h-e-marshall/">http://librivox.org/this-country-of-ours-part-2-by-h-e-marshall/</a><br> Part 3: <a href="http://librivox.org/this-country-of-ours-part-3-by-h-e-marshall/">http://librivox.org/this-country-of-ours-part-3-by-h-e-marshall/</a><br> Part 4: <a href="http://librivox.org/this-country-of-ours-part-4-by-h-e-marshall/">http://librivox.org/this-country-of-ours-part-4-by-h-e-marshall/</a></br> Part 5: <a href="http://librivox.org/this-country-of-ours-part-5-by-h-e-marshall/">http://librivox.org/this-country-of-ours-part-5-by-h-e-marshall/</a></br> Part 6: <a href="https://librivox.org/this-country-of-ours-part-6-by-h-e-marshall/">http://librivox.org/this-country-of-ours-part-6-by-h-e-marshall/</a><br> Part 7: <a href="http://librivox.org/this-country-of-ours-part-7-by-henrietta-elizabeth-marshall/">http://librivox.org/this-country-of-ours-part-7-by-henrietta-elizabeth-marshall/</a><br>(Summary by Kara)

20Wonder Book of Bible Stories

By Logan Marshall

It is with the desire of aiding parents and teachers in telling these stories, and aiding children to understand them, also in the hope that they may be read in many schools, that a few among the many interesting stories in the Bible have been chosen, brought together and as far as necessary simplified to meet the minds of the young. - Introduction by Jesse Lyman Hurlbut inside the book itself.

This book gives an exciting account of Napoleon's rise to power. It opens with his humble beginning on the island of Corsica and ultimately emperor of over half of Europe. This book focuses on his victorious military campaigns, his disastrous Russian campaign, his exile to the island of Elba, his final loss at Waterloo, and his last days on the lonely island of St. Helena. Summary by pjcsaville.

22Favorite Fairy Tales

By Logan Marshall

This is a collection of the fairy tales that children love best, told in simple language and lavishly illustrated. They are written by various authors, a selection of the best and most popular fairy stories, culled from many sources and here collected and presented in most attractive form, printed in large clear type, with many pictures, some of them colored. (Summary from the book)<br><br>Read along and view the illustrations at <a href="http://www.gutenberg.org/ebooks/20748"> Project Gutenberg</a>

23Life of Washington, Volume 1

By John James Marshall

If it be true that it takes a great man to interpret the life of a great man then Bushrod Washington made no mistake in the selection of a biographer. For Marshall, under the influence of Washington, came to be nearly as great a man as the character whose life and achievement held his deepest thought for nearly a quarter of a century. . . . Marshall's sympathetic understanding of his subject, his firsthand knowledge of events with his remarkable powers of expression qualified him to produce the masterpiece that has come down to us.

24Cedric the Forester

By Bernard Gay Marshall

A rollicking juvenile adventure tale, this historical fiction book received the Newbery Honor award in 1922. Set in England during the early 1200s, the scion of a Western Marches noble family relates the many encounters and battles that he faces with the Saxon yeoman who becomes his fast friend. This yeoman, great of cross-bow skill and strategy, often saves the day, and after earning knighthood, becomes instrumental in the making of the Magna Carta. - Summary by Lynette Caulkins

25Life of Washington, Volume 2

By John James Marshall

Volume 2 of The Life begins with some early biography, but moves quickly to Washington's military career as a colonel in the battles against the French in Canada until the cessation of his tenure, after which he marries and appears to settle down. But, of course he is called to lead the troops fighting in the revolution against England about which leadership the remaining of Volume 2 is dedicated to the point of the American rejection of England's Plan for Reconciliation.

26Life of Washington, Volume 3

By John James Marshall

Volume 3 of The Life continues the Revolutionary War from the incursion into Jersey in 1778 to its conclusion with the surrender of Lord Cornwallis in 1781 at Yorktown, with emphasis on the role of George Washington, Commander-in-Chief of the United States forces.

27Life of Washington, Volume 4

By John James Marshall

This fourth volume covers the final battles and the peace conditions of the war, Washington at home, Washington as first President, and the internal battles to hammer out a new and heretofore unseen government.

28Life of Washington, Volume 5

By John James Marshall

Volume five of John Marshall's biography follows Washington through his second term ending in the election of John Adams and Washington's retirement to Mount Vernon. This narrative continues the careful and intriguing analysis of the subjects of the previous volume as America navagtes with Washington's wise captaincy the complicated and sometimes violent foreign and domestic conflicts of the young, developing nation.

29English Literature for Boys and Girls

By Henrietta Elizabeth Marshall

"Has there ever been a time when no stories were told? Has there ever been a people who did not care to listen? I think not." Thus begins a journey through the history of English literature, from the early middle ages to the Victorian era. The young person will experience the most well-loved characters of all time, from Beowulf, the warrior who dares to challenge a terrifying and bloodthirsty monster, to virtuous Una of The Faerie Queene, faithful to the end. H. E. Marshall masterfully weaves selections from the stories into her own retelling, leaving the reader with a keen appreciation for the great books that have become the foundation of Western culture. - Summary by cadastra