Shear mapping, also known as shear transformation, is a type of linear transformation that distorts the shape of an object by shifting its points in a specific direction, while leaving the other dimensions unchanged. In a shear mapping, lines that are parallel remain parallel, and the angles between lines can change, but the lengths of the lines themselves do not change. In two dimensions, a shear mapping can be represented by a shear matrix.

"The Slutcracker" is a provocative and contemporary interpretation of the classic ballet "The Nutcracker." Created by producer and choreographer Lorna Paterson and the theater company The Boston Babydolls, it parodies the traditional holiday performance by incorporating themes of sexuality, body positivity, and empowerment, while retaining elements of the original ballet's story and music.

In mathematics, the term "differential" can refer to a few different concepts, primarily related to calculus. Here are the main meanings: 1. **Differential in Calculus**: The differential of a function is a generalization of the concept of the derivative. If \( f(x) \) is a function, the differential \( df \) expresses how the function \( f \) changes as the input \( x \) changes.

Robert Del Tredici is an American artist and photographer known for his work focused on the themes of nuclear culture and the impacts of atomic energy. He is particularly noted for his detailed and evocative illustrations and photographic projects that explore the history and consequences of nuclear technology, including its environmental and cultural implications. Del Tredici has also been an educator and advocate for nuclear awareness and has contributed to discussions about the ethical and societal challenges related to nuclear energy and weapons.

Dimitrios Roussopoulos is a Greek Canadian author, political activist, publisher, and filmmaker. He is known for his work in alternative publishing and for addressing various social and political issues through his writing and projects. Roussopoulos has been involved in various movements related to environmentalism, social justice, and grassroots activism. He is also noted for promoting community-based initiatives and has published works that reflect his commitment to these causes.

Multivariable calculus, also known as multivariable analysis, is a branch of calculus that extends the concepts of single-variable calculus to functions of multiple variables. While single-variable calculus focuses on functions of one variable, such as \(f(x)\), multivariable calculus deals with functions of two or more variables, such as \(f(x, y)\) or \(g(x, y, z)\).

The outline of calculus usually encompasses the fundamental concepts, techniques, and applications that are essential for understanding this branch of mathematics. Below is a structured outline that might help you grasp the key components of calculus: ### Outline of Calculus #### I. Introduction to Calculus A. Definition and Importance B. Historical Context C. Applications of Calculus #### II. Limits and Continuity A. Understanding Limits 1.

Regiomontanus' angle maximization problem is a classic problem in geometry that involves determining the maximum angle that can be inscribed in a given triangle. Specifically, it refers to finding the largest angle that can be created by drawing two lines from a point outside a given triangle to two of its vertices.

A slope field (or direction field) is a visual representation used in differential equations to illustrate the general behavior of solutions to a first-order differential equation of the form: \[ \frac{dy}{dx} = f(x, y) \] In a slope field, small line segments (or slopes) are drawn at various points (x, y) in the coordinate plane, with each segment having a slope determined by the function \(f(x, y)\).

The **Standard Part Function**, often denoted as \( \text{st}(x) \), is a mathematical function used primarily in the field of non-standard analysis. Non-standard analysis is a branch of mathematics that extends the standard framework of calculus and allows for the rigorous treatment of infinitesimals—quantities that are smaller than any positive real number but larger than zero.

The variational formalism of general relativity refers to the mathematical framework used to derive the equations of motion and field equations of general relativity (GR) using the principles of the calculus of variations. This approach is closely related to the principle of least action, which states that the path taken by a physical system between two states is the one for which the action integral is stationary (usually a minimum).

The Stampacchia Medal is a prestigious award in the field of mathematics, specifically recognizing significant contributions to the theory of differential inclusions and the calculus of variations. Named after the Italian mathematician Antonio Stampacchia, the medal is typically awarded to mathematicians who have made exceptional and lasting contributions to these areas. The award highlights the importance of research in mathematical analysis and its applications. It is usually presented by academic institutions or organizations dedicated to the promotion of mathematical sciences.

The Mountain Pass Theorem is a result in the calculus of variations and nonlinear analysis, particularly in the context of finding critical points of a functional. It is often used in the study of differential equations, variational problems, and geometric analysis. The theorem provides conditions under which a functional defined on a suitable Banach space has a critical point that is not a local minimum.

The Nehari manifold is a mathematical concept used in the field of functional analysis, particularly in the context of the study of variational problems and the existence of solutions to certain types of differential equations. It is named after the mathematician Z.A. Nehari. In essence, the Nehari manifold is a subset of a function space that is utilized to find critical points of a functional, especially in the study of elliptic partial differential equations.

Newton's minimal resistance problem, posed by Sir Isaac Newton in the late 17th century, involves finding the shape of a solid body that minimizes its resistance to motion through a fluid (like air or water) at a given velocity. Specifically, it relates to understanding how the body's shape affects the drag force experienced as it moves through the fluid.

Canadian mathematicians have made significant contributions to the field across various centuries. Here's a brief overview of some notable mathematicians by century: ### 19th Century - **Évariste Galois** (1811-1832): Although not Canadian himself, his work influenced many mathematicians in Canada, particularly those involved in algebra and group theory.

Carrie Ichikawa Jenkins is a prominent philosopher known for her work in the fields of epistemology, philosophy of language, and the philosophy of love. She has contributed significantly to discussions around the nature of knowledge, understanding how we acquire it, and the implications of love in philosophical discourse. Jenkins is also notable for her engagement with topics such as the nature of belief and the intersection of personal relationships with philosophical inquiry.

Chandler Davis is a name that can refer to a couple of notable people, but it may depend on the context. One prominent individual is an American mathematician known for his work in mathematics and activism, especially related to civil rights and academic freedom. Chandler Davis was also involved in university teaching and has written on various topics within mathematics.

Charles Dunnett is not a widely recognized figure across many domains, so it's possible you might be referring to different things depending on the context. The name could be related to a specific individual in academia, business, or perhaps another field. There might also be a possibility of a mix-up with similar-sounding names or a lesser-known character or entity.

Jianhong Wu is a name that may refer to various individuals or contexts, depending on the specific area of relevance. However, one prominent figure associated with this name is Jianhong Wu, a mathematician known for his work in applied mathematics, particularly in the fields of mathematical biology and dynamical systems. He has contributed to research related to population dynamics, infectious diseases, and ecological modeling.