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iGen: Why Today's Super-Connected Kids Are Growing Up Less Rebellious, More Tolerant, Less Happy--and Completely Unprepared for Adulthood--and What That Means for the Rest of Us
by Jean M. Twenge&“We&’ve all been desperate to learn what heavy use of social media does to adolescents. Now, thanks to Twenge&’s careful analysis, we know: It is making them lonely, anxious, and fragile—especially our girls. If you are a parent, teacher, or employer, you must read this fascinating book.&”—Jonathan Haidt, author of The Anxious Generation Born after 1995, they grew up with cell phones, had an Instagram page before high school, and cannot remember a time before the Internet. They are iGen. Now, here is crucial reading to understand how these children, teens, and young adults are vastly different from their millennial predecessors, and from any other generation.With generational divides wider than ever, parents, educators, and employers have an urgent need to understand today&’s rising generation of teens and young adults. Born in the mid-1990s up to the mid-2000s, iGen is the first generation to spend their entire adolescence in the age of the smartphone. With social media and texting replacing other activities, iGen spends less time with their friends in person—perhaps contributing to their unprecedented levels of anxiety, depression, and loneliness. But technology is not the only thing that makes iGen distinct from every generation before them; they are also different in how they spend their time, how they behave, and in their attitudes toward religion, sexuality, and politics. They socialize in completely new ways, reject once sacred social taboos, and want different things from their lives and careers. More than previous generations, they are obsessed with safety, focused on tolerance, and have no patience for inequality. As this new group of young people grows into adulthood, we all need to understand them: friends and family need to look out for them; businesses must figure out how to recruit them and sell to them; colleges and universities must know how to educate and guide them. And members of iGen also need to understand themselves as they communicate with their elders and explain their views to their older peers. Because where iGen goes, so goes our nation—and the world. *As seen in Time, USA TODAY, The Atlantic, The Wall Street Journal, and on CBS This Morning, BBC, PBS, CNN, and NPR*
k-Schur Functions and Affine Schubert Calculus
by Thomas Lam Luc Lapointe Jennifer Morse Anne Schilling Mark Shimozono Mike ZabrockiThis book gives an introduction to the very active field of combinatorics of affine Schubert calculus, explains the current state of the art, and states the current open problems. Affine Schubert calculus lies at the crossroads of combinatorics, geometry, and representation theory. Its modern development is motivated by two seemingly unrelated directions. One is the introduction of k-Schur functions in the study of Macdonald polynomial positivity, a mostly combinatorial branch of symmetric function theory. The other direction is the study of the Schubert bases of the (co)homology of the affine Grassmannian, an algebro-topological formulation of a problem in enumerative geometry. This is the first introductory text on this subject. It contains many examples in Sage, a free open source general purpose mathematical software system, to entice the reader to investigate the open problems. This book is written for advanced undergraduate and graduate students, as well as researchers, who want to become familiar with this fascinating new field.
mODa 10 – Advances in Model-Oriented Design and Analysis
by Maciej Patan Dariusz Ucinski Anthony C. AtkinsonThis book collects the proceedings of the 10th Workshop on Model-Oriented Design and Analysis (mODa). A model-oriented view on the design of experiments, which is the unifying theme of all mODa meetings, assumes some knowledge of the form of the data-generating process and naturally leads to the so-called optimum experimental design. Its theory and practice have since become important in many scientific and technological fields, ranging from optimal designs for dynamic models in pharmacological research, to designs for industrial experimentation, to designs for simulation experiments in environmental risk management, to name but a few. The methodology has become even more important in recent years because of the increased speed of scientific developments, the complexity of the systems currently under investigation and the mounting pressure on businesses, industries and scientific researchers to reduce product and process development times. This increased competition requires ever increasing efficiency in experimentation, thus necessitating new statistical designs. This book presents a rich collection of carefully selected contributions ranging from statistical methodology to emerging applications. It primarily aims to provide an overview of recent advances and challenges in the field, especially in the context of new formulations, methods and state-of-the-art algorithms. The topics included in this volume will be of interest to all scientists and engineers and statisticians who conduct experiments.
mathematical population dynamics: Proceedings of the Second International Conference
by Ovide ArinoThis book is an outcome of the Second International Conference on Mathematical Population Dynamics. It is intended for mathematicians, statisticians, biologists, and medical researchers who are interested in recent advances in analyzing changes in populations of genes, cells, and tumors.
multigrid methods: theory, applications, and supercomputing
by Stephen F. MccormickThis book is a collection of research papers on a wide variety of multigrid topics, including applications, computation and theory. It represents proceedings of the Third Copper Mountain Conference on Multigrid Methods, which was held at Copper Mountain, Colorado.
m−Polar Fuzzy Graphs: Theory, Methods & Applications (Studies in Fuzziness and Soft Computing #371)
by Muhammad AkramThis book provides readers with an introduction to m-polar fuzzy graphs and m-polar fuzzy hypergraphs, covering both theories and applications. A special emphasis is given to m-polar fuzzy graphs at the aim of filling a gap in the literature, namely the absence of a mathematical approach to analyze multi-index, multipolar, and multi-attribute data. The book describes metrics and labeling in m-polar graphs, m-polar fuzzy matroids. It also discusses in detail important applications in decision-making problems and imaging processing. The book is expected to stimulate the curiosity of mathematics, computer scientists, and social scientists alike, and to provide both students and researchers with the necessary knowledge to understand and apply m−polar fuzzy graph theory.
nonlinear analysis and applications
by LakshmikanthamThis book attempts to put together the works of a wide range of mathematical scientists. It consists of the proceedings of the Seventh Conference on "Nonlinear Analysis and Applications" including papers that were delivered as invited talks and research reports.
nonlinear analysis and applications (Nato Science Series C: Ser. #173)
by SinghThis book contains lecture notes in pure and applied mathematics from the proceedings of an International Conference on Nonlinear Analysis and Applications, held at Memorial University of Newfoundland in June 1981. It includes information on fractional calculus and the Stieltjes transform.
onRamp To Algebra: Ratio and Proportionality (Student Edition) (Grades 7-9)
by Prentice HallonRamp to Algebra is an intervention program designed exclusively to ensure that at-risk students are adequately prepared for Algebra 1. The program is ideally implemented the year prior, to build and solidify foundational skills and conceptual understanding necessary to be successful in Algebra 1. onRamp to Algebra is a complete instructional system that utilizes technology to deliver online homework support and in-class presentation screens for whole class participation. Although the program can be implemented solely with the printed Student and Teacher editions, it is optimized when coupled with in-class technology such as whiteboards/projectors; as well as when students access its online learning aids, which provide scaffolded, point-of-use homework support. As such, the program is designed to grow with your schools' Technology Plan. onRamp to Algebra is designed to be delivered in a single block class period. Each of the 112 lessons utilizes a classroom Workshop Model, designed to ensure that your formerly struggling students are constantly active, and engaged, participants throughout the entire 45-minute class. Built-in "Coach" supports (throughout the Teachers Edition), along with a Program Overview & Implementation Guide, and onsite and/or online Professional Development, ensure that all teachers are successful in the implementation of this program.
onRamp to Algebra: Expressions, Equations, and Exponents
by Prentice Hall Dictionary EditorsonRamp to Algebra is an intervention program designed exclusively to ensure that at-risk students are adequately prepared for Algebra 1. The program is ideally implemented the year prior, to build and solidify foundational skills and conceptual understanding necessary to be successful in Algebra 1. onRamp to Algebra is a complete instructional system that utilizes technology to deliver online homework support and in-class presentation screens for whole class participation. Although the program can be implemented solely with the printed Student and Teacher editions, it is optimized when coupled with in-class technology such as whiteboards/projectors; as well as when students access its online learning aids, which provide scaffolded, point-of-use homework support. As such, the program is designed to grow with your schools' Technology Plan. onRamp to Algebra is designed to be delivered in a single block class period. Each of the 112 lessons utilizes a classroom Workshop Model, designed to ensure that your formerly struggling students are constantly active, and engaged, participants throughout the entire 45-minute class. Built-in "Coach" supports (throughout the Teachers Edition), along with a Program Overview & Implementation Guide, and onsite and/or online Professional Development, ensure that all teachers are successful in the implementation of this program.
onRamp to Algebra: Foundations of Algebra
by Prentice HallonRamp to Algebra is an intervention program designed exclusively to ensure that at-risk students are adequately prepared for Algebra 1. The program is ideally implemented the year prior, to build and solidify foundational skills and conceptual understanding necessary to be successful in Algebra 1. onRamp to Algebra is a complete instructional system that utilizes technology to deliver online homework support and in-class presentation screens for whole class participation. Although the program can be implemented solely with the printed Student and Teacher editions, it is optimized when coupled with in-class technology such as whiteboards/projectors; as well as when students access its online learning aids, which provide scaffolded, point-of-use homework support. As such, the program is designed to grow with your schools' Technology Plan. onRamp to Algebra is designed to be delivered in a single block class period. Each of the 112 lessons utilizes a classroom Workshop Model, designed to ensure that your formerly struggling students are constantly active, and engaged, participants throughout the entire 45-minute class. Built-in "Coach" supports (throughout the Teachers Edition), along with a Program Overview & Implementation Guide, and onsite and/or online Professional Development, ensure that all teachers are successful in the implementation of this program.
onRamp to Algebra: Operations with Fractions (Student Edition) (Grades 7-9)
by Prentice HallonRamp to Algebra is an intervention program designed exclusively to ensure that at-risk students are adequately prepared for Algebra 1. The program is ideally implemented the year prior, to build and solidify foundational skills and conceptual understanding necessary to be successful in Algebra 1. onRamp to Algebra is a complete instructional system that utilizes technology to deliver online homework support and in-class presentation screens for whole class participation. Although the program can be implemented solely with the printed Student and Teacher editions, it is optimized when coupled with in-class technology such as whiteboards/projectors; as well as when students access its online learning aids, which provide scaffolded, point-of-use homework support. As such, the program is designed to grow with your schools' Technology Plan. onRamp to Algebra is designed to be delivered in a single block class period. Each of the 112 lessons utilizes a classroom Workshop Model, designed to ensure that your formerly struggling students are constantly active, and engaged, participants throughout the entire 45-minute class. Built-in "Coach" supports (throughout the Teachers Edition), along with a Program Overview & Implementation Guide, and onsite and/or online Professional Development, ensure that all teachers are successful in the implementation of this program.
onRamp to Algebra: Showing Relationships with Graphs (Student Edition) (Grades 7-9)
by Prentice HallonRamp to Algebra is an intervention program designed exclusively to ensure that at-risk students are adequately prepared for Algebra 1. The program is ideally implemented the year prior, to build and solidify foundational skills and conceptual understanding necessary to be successful in Algebra 1. onRamp to Algebra is a complete instructional system that utilizes technology to deliver online homework support and in-class presentation screens for whole class participation. Although the program can be implemented solely with the printed Student and Teacher editions, it is optimized when coupled with in-class technology such as whiteboards/projectors; as well as when students access its online learning aids, which provide scaffolded, point-of-use homework support. As such, the program is designed to grow with your schools' Technology Plan. onRamp to Algebra is designed to be delivered in a single block class period. Each of the 112 lessons utilizes a classroom Workshop Model, designed to ensure that your formerly struggling students are constantly active, and engaged, participants throughout the entire 45-minute class. Built-in "Coach" supports (throughout the Teachers Edition), along with a Program Overview & Implementation Guide, and onsite and/or online Professional Development, ensure that all teachers are successful in the implementation of this program.
p - hacking und die Verfälschung statistischer Ergebnisse: Verbesserungsprozesse hinsichtlich Prozessbewertungen (essentials)
by Marcus HellwigDie Signifikanz einer statistischen Aussage wird mit p bezeichnet, als probabilistische Größe. Es gibt Kritik an der Aussagekraft des p-Wertes dahin, dass er in der Statistik mitunter dahingehend missbraucht wird, dass Effektgrößen bewusst verfälscht werden. Dieser Missbrauch äußert sich darin, dass an der an der Größe und Auswahl einer Datenmenge solange manipuliert wird, bis die erwünschten Parameter erreicht werden. Diese Tätigkeit wird mit - p – hacking bezeichnet. Dieses essential widmet sich der Aufklärung.
p-Laplace Equation in the Heisenberg Group
by Diego RicciottiThis works focuses on regularity theory for solutions to the p-Laplace equation in the Heisenberg group. In particular, it presents detailed proofs of smoothness for solutions to the non-degenerate equation and of Lipschitz regularity for solutions to the degenerate one. An introductory chapter presents the basic properties of the Heisenberg group, making the coverage self-contained. The setting is the first Heisenberg group, helping to keep the notation simple and allow the reader to focus on the core of the theory and techniques in the field. Further, detailed proofs make the work accessible to students at the graduate level.
p-adic Banach Space Representations: With Applications to Principal Series (Lecture Notes in Mathematics #2325)
by Dubravka BanThis book systematically develops the theory of continuous representations on p-adic Banach spaces. Its purpose is to lay the foundations of the representation theory of reductive p-adic groups on p-adic Banach spaces, explain the duality theory of Schneider and Teitelbaum, and demonstrate its applications to continuous principal series. Written to be accessible to graduate students, the book gives a comprehensive introduction to the necessary tools, including Iwasawa algebras, p-adic measures and distributions, p-adic functional analysis, reductive groups, and smooth and algebraic representations. Part 1 culminates with the duality between Banach space representations and Iwasawa modules. This duality is applied in Part 2 for studying the intertwining operators and reducibility of the continuous principal series on p-adic Banach spaces.This monograph is intended to serve both as a reference book and as an introductory text for graduate students and researchers entering the area.
p-adic Function Analysis (Lecture Notes In Pure And Applied Mathematics Ser.)
by Jose M. Bayod"Written by accomplished and well-known researchers in the field, this unique volume discusses important research topics on p-adic functional analysis and closely related areas, provides an authoritative overview of the main investigative fronts where developments are expected in the future, and more. "
p-adic Functional Analysis
by W.H. Schikhof C. Perez-Garcia Jerzy Kakol"Contains research articles by nearly 40 leading mathematicians from North and South America, Europe, Africa, and Asia, presented at the Fourth International Conference on p-adic Functional Analysis held recently in Nijmegen, The Netherlands. Includes numerous new open problems documented with extensive comments and references."
p-adic Hodge Theory (Simons Symposia #210)
by Bhargav Bhatt Martin OlssonThis proceedings volume contains articles related to the research presented at the 2017 Simons Symposium on p-adic Hodge theory. This symposium was focused on recent developments in p-adic Hodge theory, especially those concerning integral questions and their connections to notions in algebraic topology. This volume features original research articles as well as articles that contain new research and survey some of these recent developments. It is the first of three volumes dedicated to p-adic Hodge theory.
partial differential equation methods in control and shape analysis: lecture notes in pure and applied mathematics (Lecture Notes in Pure and Applied Mathematics)
by Giuseppe Da Prato Jean-Paul Zolésio"Based on the International Federatiojn for Information Processing WG 7.2 Conference, held recently in Pisa, Italy. Provides recent results as well as entirely new material on control theory and shape analysis. Written by leading authorities from various desciplines."
partial differential equations and applications: Collected Papers in Honor of Carlo Pucci (Lecture Notes in Pure and Applied Mathematics #177)
by Paolo Marcellini Giorgio G. Talenti Edoardo VesentiniWritten as a tribute to the mathematician Carlo Pucci on the occasion of his 70th birthday, this is a collection of authoritative contributions from over 45 internationally acclaimed experts in the field of partial differential equations. Papers discuss a variety of topics such as problems where a partial differential equation is coupled with unfavourable boundary or initial conditions, and boundary value problems for partial differential equations of elliptic type.
q-Fractional Calculus and Equations
by Zeinab S. Mansour Mahmoud H. AnnabyThis nine-chapter monograph introduces a rigorous investigation of q-difference operators in standard and fractional settings. It starts with elementary calculus of q-differences and integration of Jackson's type before turning to q-difference equations. The existence and uniqueness theorems are derived using successive approximations, leading to systems of equations with retarded arguments. Regular q-Sturm-Liouville theory is also introduced; Green's function is constructed and the eigenfunction expansion theorem is given. The monograph also discusses some integral equations of Volterra and Abel type, as introductory material for the study of fractional q-calculi. Hence fractional q-calculi of the types Riemann-Liouville; Grünwald-Letnikov; Caputo; Erdélyi-Kober and Weyl are defined analytically. Fractional q-Leibniz rules with applications in q-series are also obtained with rigorous proofs of the formal results of Al-Salam-Verma, which remained unproved for decades. In working towards the investigation of q-fractional difference equations; families of q-Mittag-Leffler functions are defined and their properties are investigated, especially the q-Mellin-Barnes integral and Hankel contour integral representation of the q-Mittag-Leffler functions under consideration, the distribution, asymptotic and reality of their zeros, establishing q-counterparts of Wiman's results. Fractional q-difference equations are studied; existence and uniqueness theorems are given and classes of Cauchy-type problems are completely solved in terms of families of q-Mittag-Leffler functions. Among many q-analogs of classical results and concepts, q-Laplace, q-Mellin and q2-Fourier transforms are studied and their applications are investigated.
sCATtered!: A Story of Estimation (A Catastrophe Tale)
by Ann Marie StephensMath-loving kittens prepare a party for their number-one grandmother in this playful picture book that demonstrates the key math concept of estimation.The CATastrophe! cats are back, this time causing even more chaos! Nine kitties are purring with excitement for Grandma Cat&’s upcoming visit. They&’re going to throw her a party with cake, decorations, and a special gift. But when frantically cleaning cats misjudge how many toys they can hide in a closet, catastrophe looms. . . .Author Ann Marie Stephens draws upon more than 30 years of teaching experience to ensure that readers absorb math while having fun in the adventure-filled CATastrophe Tale series. And Jenn Harney&’s hilarious and energetic illustrations capture the antics of these enthusiastic kittens.Each book in the CATastrophe Tale series includes helpful back matter, which shows readers that, just like the kittens, they use mathematical skills in their everyday lives. Additional titles in the series include CATastrophe!: A Story of Patterns and CATawampus!: A Story of Shapes.
semigroup theory and applications
by Phillipe ClementThis book contains articles on maximal regulatory problems, interpolation spaces, multiplicative perturbations of generators, linear and nonlinear evolution equations, integrodifferential equations, dual semigroups, positive semigroups, applications to control theory, and boundary value problems.