This monograph focuses on the partial regularity theorem, as developed by Caffarelli, Kohn, and Nirenberg (CKN), and offers a proof of the upper bound on the Hausdorff dimension of the singular set of weak solutions of the Navier-Stokes inequality, while also providing a clear and insightful presentation of Scheffer's constructions showing their bound cannot be improved. A short, complete, and self-contained proof of CKN is presented in the second...

R is the most widely used open-source statistical and programming environment for the analysis and visualization of biological data. Drawing on Gregg Hartvigsen's extensive experience teaching biostatistics and modeling biological systems, this text is an engaging, practical, and lab-oriented introduction to R for students in the life sciences. Underscoring the importance of R and RStudio in organizing, computing, and visualizing biological statistics...

Objects are not all alike. They have different sizes! You can use size to sort objects into groups. Simple text and vibrant illustrations will engage early readers and aid comprehension. List of sight words. Includes a support page of teaching tips for caregivers and teachers. Downloadable Teacher's Notes available.

"Evan and Jessie Treski have waged a lemonade war, sought justice in a class trial, unmasked a bell thief, and created a professional magic show. Yet for all their skills and talents, both find themselves being singled out this summer for reasons beyond their control. Natural-born leader Evan, who is always good at making new friends, discovers he is at the mercy of a bully on the summer school playground, and is pressured to act in a way he never...

Are you ready to eat, drink, and be merry? Mardi Gras is a huge party celebrated all over the world. Let the good times roll on a trip to New Orleans and along the way, roll out your subtraction strategies as you learn about this fabulous festival! This math reader builds literacy skills and math content knowledge, combining problem solving and real-world connections to help students explore math in a meaningful way. The Let's Explore Math sidebars...

A counting book that follows the construction of a building, from one plan to twelve stories. Readers are invited to find hidden numbers on an illustrated activity page--in both English and Spanish.

Introduces counting by fives by counting the number of spots on the shell of a ladybug. Readers are invited to find hidden numbers on an illustrated activity page--in both English and Spanish.

A counting book featuring things found at a car race, from one black-and-white checkered flag to twelve reporters. Readers are invited to find hidden numbers on an illustrated activity page--in both English and Spanish.

What happens to the environment when a drought occurs? What are some of the causes of droughts? What can people do about the problems caused by droughts? How can you use your math skills to learn more about droughts? Read this book to find the answers to these questions and learn more about droughts.

All real life mathematics is problem solving. And, all those fascinated by puzzles are problem solvers at heart. But, thinking mathematically is a skill we have to learn and one which it is easy to forget. Recreational mathematicians and students can practise problem solving in different ways. In this book, solving puzzles is practiced in a different way from most books they will have seen before: • Readers get no clues to what the puzzle is about...