Related Experiment Video

Updated: Dec 27, 2025

Convergent Polishing: A Simple, Rapid, Full Aperture Polishing Process of High Quality Optical Flats & Spheres
13:07

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

Published on: December 1, 2014

11.5K

Integral-based parallel algorithm for the fast generation of the Zernike polynomials

Y H Hsieh, Y T Yu, Y H Lai

    Optics Express
    |March 4, 2020
    PubMed

    More Related Videos

    The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry12:14

    The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry

    Published on: August 12, 2013

    22.3K
    Lens-free Video Microscopy for the Dynamic and Quantitative Analysis of Adherent Cell Culture09:04

    Lens-free Video Microscopy for the Dynamic and Quantitative Analysis of Adherent Cell Culture

    Published on: February 23, 2018

    9.9K

    Related Concept Videos

    Real Zeros of Polynomials01:27

    Real Zeros of Polynomials

    Polynomials are algebraic expressions of terms with variables raised to non-negative integer powers. A central aspect of analyzing polynomial functions is determining their real zeros—values of the variable for which the polynomial evaluates to zero. These values represent the x-intercepts of the polynomial’s graph.The Rational Zeros Theorem lists possible rational solutions for a polynomial equation with integer coefficients. If f(x)=anxn+....+a0​, then every rational zero is...
    94
    Complex Zeros01:29

    Complex Zeros

    Complex zeros are the solutions to polynomial equations that include imaginary numbers, specifically, numbers of the form a + bi, where a and b are real numbers and i is the imaginary unit defined by i2=-1. These zeros satisfy the equation P(x) = 0, where P(x) is a polynomial with real or complex coefficients. Since the complex number system includes all real numbers, it provides a complete framework for analyzing all possible roots of a polynomial.Every polynomial of degree n≥1 can be...
    169
    Inverse z-Transform by Partial Fraction Expansion01:20

    Inverse z-Transform by Partial Fraction Expansion

    The inverse z-transform is a crucial technique for converting a function from its z-domain representation back to the time domain. One effective method for finding the inverse z-transform is the Partial Fraction Method, which involves decomposing a function into simpler fractions with distinct coefficients. These fractions correspond to known z-transform pairs, facilitating the inverse transformation process.
    To begin the process, the poles of the function are identified and the function is...
    643
    Fundamental Theorem of Algebra01:30

    Fundamental Theorem of Algebra

    The Fundamental Theorem of Algebra is central to the study of polynomial equations, asserting that every non-constant polynomial with complex coefficients has at least one complex zero. This means that a polynomial of degree n ≥ 1, written as:  with an ≠ 0, has at least one solution in the complex number system. Since the set of real numbers is a subset of complex numbers, this theorem applies equally to polynomials with real coefficients.Building on this result, the...
    150
    Synthetic Disvision of Polynomials01:28

    Synthetic Disvision of Polynomials

    Synthetic division is an efficient algorithmic approach for dividing a polynomial by a linear binomial of the form x - c, where c is a real number. This method is helpful due to its streamlined process, which avoids the more cumbersome steps involved in the traditional long division of polynomials. It simplifies computation and serves as a practical tool for evaluating polynomials and identifying their factors.To perform synthetic division, one begins by listing the coefficients of the...
    94
    Parallel-Axis Theorem for an Area01:12

    Parallel-Axis Theorem for an Area

    The moment of inertia is a fundamental concept in mechanical engineering that plays a significant role in designing rotationally symmetric objects such as flywheels, gears, and other mechanical systems. In this context, we will discuss the moment of inertia of a flywheel rotating about its centroidal axis and how it relates to the moment of inertia about an axis parallel to it.
    For a flywheel approximated as a solid disc, consider an infinitesimal differential element with an arbitrary distance...
    2.8K