Sand In Your Sandpile

How much sand is in your sandpile? Do you have lots of sand, or just a little? Our sandpiles are our emotional reserves. We constantly give the sand in our sandpiles away as we give to others, our work, our families, and the tasks of daily life. Lots of us have depleted sandpiles. This depletion diminishes our ability to manage stress, which in turn can have negative effects on our physical and emotional health. How do we replenish our emotional reserves? Do you know what puts sand in your sandpile? Sand in Your Sandpile looks at how we can build our emotional reserves through nurturance and comfort, self-esteem, and empowerment. It examines what keeps us from doing the self-care we know we need. Using stories and metaphors, Dr. Kearney examines life attitudes that influence our ability and willingness to take care of ourselves. Since self-care is such a big part of stress reduction and resilience, Kearney wanted to create user-friendly access to practical psychological practices. This workbook is about loving kindness toward self and others with the goal of building a psychological immune system. Through self-care, self-esteem and knowing where your power is, you can learn how to address the natural blocks to coping. The guiding principle is respect for self and others. The goal is to facilitate personal motivation and methods of self-care. In this guide, you are encouraged to personalize the material, do the user-friendly exercises, and put sand in your sandpile. With self-care, you can create a life you want to live.

Did the terrorist attacks on the United States in 2001, the massive power blackout of 2003, Hurricane Katrina in 2005, and the Gulf oil spill of 2010 'just happen'-or were these shattering events foreseeable? Do such calamities in fact follow a predictable pattern? Can we plan for the unforeseen by thinking about the unthinkable?Ted Lewis explains the pattern of catastrophes and their underlying cause. In a provocative tour of a volatile world, he guides the reader through mega-fires, fragile power grids, mismanaged telecommunication systems, global terrorist movements, migrating viruses, volatile markets and Internet storms. Modern societies want to avert catastrophes, but the drive to make things faster, cheaper, and more efficient leads to self-organized criticality-the condition of systems on the verge of disaster. This is a double-edged sword. Everything from biological evolution to political revolution is driven by some collapse, calamity or crisis. To avoid annihilation but allow for progress, we must change the ways in which we understand the patterns and manage systems. Bak's Sand Pile explains how.

The model investigated in this work, a particular cellular automaton with stochastic evolution, was introduced as the simplest case of self-organized-criticality, that is, a dynamical system which shows algebraic long-range correlations without any tuning of parameters. The author derives exact results which are potentially also interesting outside the area of critical phenomena. Exact means also site-by-site and not only ensemble average or coarse graining. Very complex and amazingly beautiful periodic patterns are often generated by the dynamics involved, especially in deterministic protocols in which the sand is added at chosen sites. For example, the author studies the appearance of allometric structures, that is, patterns which grow in the same way in their whole body, and not only near their boundaries, as commonly occurs. The local conservation laws which govern the evolution of these patterns are also presented. This work has already attracted interest, not only in non-equilibrium statistical mechanics, but also in mathematics, both in probability and in combinatorics. There are also interesting connections with number theory. Lastly, it also poses new questions about an old subject. As such, it will be of interest to computer practitioners, demonstrating the simplicity with which charming patterns can be obtained, as well as to researchers working in many other areas.

Four modules explore topics in physical science, earth and space science, life science, and science and technology with hands-on activities designed to engage students in the processes of scientific inquiry and technological design. Modules within a developmental level may be taught in any sequence.

Critically acclaimed science journalist, Mark Buchanan tells the fascinating story of the discovery that there is a natural structure of instability woven into the fabric of our world, which explains why catastrophes-- both natural and human-- happen. Scientists have recently discovered a new law of nature and its footprints are virtually everywhere-- in the spread of forest fires, mass extinctions, traffic jams, earthquakes, stock-market fluctuations, the rise and fall of nations, and even trends in fashion, music and art. Wherever we look, the world is modelled on a simple template: like a steep pile of sand, it is poised on the brink of instability, with avalanches-- in events, ideas or whatever-- following a universal pattern of change. This remarkable discovery heralds what Mark Buchanan calls the new science of 'ubiquity', a science whose secret lies in the stuff of the everyday world. Combining literary flair with scientific rigour, this enthralling book documents the coming revolution by telling the story of the researchers' exploration of the law, their ingenious work and unexpected insights. Buchanan reveals that we are witnessing the emergence of an extraordinarily powerful new field of science that will help us comprehend the bewildering and unruly rhythms that dominate our lives and may even lead to a true science of the dynamics of human culture and history.

Divisors and Sandpiles provides an introduction to the combinatorial theory of chip-firing on finite graphs. Part 1 motivates the study of the discrete Laplacian by introducing the dollar game. The resulting theory of divisors on graphs runs in close parallel to the geometric theory of divisors on Riemann surfaces, and Part 1 culminates in a full exposition of the graph-theoretic Riemann-Roch theorem due to M. Baker and S. Norine. The text leverages the reader's understanding of the discrete story to provide a brief overview of the classical theory of Riemann surfaces. Part 2 focuses on sandpiles, which are toy models of physical systems with dynamics controlled by the discrete Laplacian of the underlying graph. The text provides a careful introduction to the sandpile group and the abelian sandpile model, leading ultimately to L. Levine's threshold density theorem for the fixed-energy sandpile Markov chain. In a precise sense, the theory of sandpiles is dual to the theory of divisors, and there are many beautiful connections between the first two parts of the book. Part 3 addresses various topics connecting the theory of chip-firing to other areas of mathematics, including the matrix-tree theorem, harmonic morphisms, parking functions, M-matrices, matroids, the Tutte polynomial, and simplicial homology. The text is suitable for advanced undergraduates and beginning graduate students.

From "Putting Things Away" to "The Marriage Almanac" (not to mention the pedantic "Index," in itself a comic wonder), Stanley Crawford gives the married, the unmarried, and the formerly married a classic satire on all the sanctimonious marriage manuals ever produced. Starting with the complete title, Some Instructions to My Wife Concerning the Upkeep of the House and Marriage, and to My Son and Daughter Concerning the Conduct of Their Childhood, a boorish narrator sets down some seventy-three pieces of advice to his wife, young son, and two-year-old daughter, intended to foster and maintain domestic tranquility in an age of anxiety. Taken literally, our neo-Victorian head of the house is a male chauvinist pig of sorts, but what reader would deny that the sources of Crawford's satire run deep in the American grain?

Urban change is often difficult because we are dealing with people’s elusive notions of place and perception, time and change. Urban design and planning in a changing urban context so that it remains relevant for people is elusive because the idea of place is embedded in memory and identity – but whose memory and whose identity? This book seeks to understand the urban change dynamic so that the planning of urban places aligns with the dynamic of people’s perception of place. Planning Urban Places examines the premise that building cities is a concrete business surrounded by a shifting context. It discusses the notion of urban design and placemaking from the perspective of place perception and cognitive psychology, place philosophy and human geography. It also considers network theory to help illustrate the self-organising paradigm of small word network theory for planning urban places.