Related Experiment Video

Updated: Apr 4, 2026

Experimental and Data Analysis Workflow for Soft Matter Nanoindentation
13:04

Experimental and Data Analysis Workflow for Soft Matter Nanoindentation

Published on: January 18, 2022

5.1K

GNCCP-Graduated NonConvexityand Concavity Procedure

Zhi-Yong Liu, Hong Qiao

    IEEE Transactions on Pattern Analysis and Machine Intelligence
    |September 10, 2015
    PubMed

    More Related Videos

    Convergent Polishing: A Simple, Rapid, Full Aperture Polishing Process of High Quality Optical Flats & Spheres13:07

    Convergent Polishing: A Simple, Rapid, Full Aperture Polishing Process of High Quality Optical Flats & Spheres

    Published on: December 1, 2014

    11.8K
    A Postoperative Evaluation Guideline for Computer-Assisted Reconstruction of the Mandible10:42

    A Postoperative Evaluation Guideline for Computer-Assisted Reconstruction of the Mandible

    Published on: January 28, 2020

    7.2K

    Related Concept Videos

    Second Derivatives and the Shape of a Graph01:29

    Second Derivatives and the Shape of a Graph

    The second derivative of a function provides essential information about a graph's curvature and how it changes over an interval. It helps determine whether a function is concave upward or concave downward and identifies points where the curvature changes. These properties are fundamental in analyzing real-world scenarios, such as changes in road elevation, population growth, and economic trends.A function f(x) is considered concave upward on an interval if its graph lies above all its tangent...
    257
    Application of Nonlinear Inequalities01:29

    Application of Nonlinear Inequalities

    A nonlinear inequality describes a comparison involving an expression that curves or behaves more complexly than a straight line. These inequalities often appear in forms that include squares, products, or variables in the denominator.To solve such an inequality, one starts by rewriting it so that zero appears on one side. For example, the inequality:  can be factored as: This form makes it easier to identify the values that cause the expression to equal zero. In this case, the...
    314
    Hyperbolic and Inverse Hyperbolic Functions: Problem Solving01:30

    Hyperbolic and Inverse Hyperbolic Functions: Problem Solving

    An arched gate can be effectively modeled using a hyperbolic cosine profile because this type of function is smooth and symmetric about the vertical axis. When the arch is centered at the origin, its maximum height occurs at the center point. This symmetry ensures that any height below the crown of the arch is reached at two horizontal positions that are equal in distance from the centerline but lie on opposite sides.To determine where the gate reaches a height of five meters, the height of the...
    216
    Second Derivative Test: Problem Solving01:24

    Second Derivative Test: Problem Solving

    In mathematical analysis, finding a function's highest and lowest points is crucial for understanding its behavior. These points, known as critical points, occur where the first derivative is either zero or undefined. Critical points are potential local maxima and minima locations, which can be classified using the Second Derivative Test. However, not every critical point corresponds to a local maximum or minimum. The second derivative is analyzed to classify these points. The second derivative...
    214
    Implicit Differentiation: Problem Solving01:29

    Implicit Differentiation: Problem Solving

    Curves defined implicitly, where variables cannot be separated algebraically, require specialized techniques for analysis. The conchoid of Nicomedes exemplifies such a case. Its equation links x and y in a way that prevents isolation of one variable, making implicit differentiation essential to determine the slope and behavior at any point on the curve.The implicit form of the conchoid can be expressed as:To differentiate this equation, y is treated as a function of x, and the chain rule is...
    160
    Area Problem01:26

    Area Problem

    Determining the area of a region with straight edges is straightforward, as geometric formulas for rectangles, triangles, and polygons can be applied directly. However, traditional geometric methods are insufficient when a region has a curved boundary, such as the area under a function.fromThe area problem involves finding a systematic way to measure such regions. One approach to solving this problem is through approximation. Instead of attempting to compute the area exactly at the outset, the...
    232