Related Experiment Video

Updated: Aug 10, 2026

Identification of Disease-related Spatial Covariance Patterns using Neuroimaging Data
14:27

Identification of Disease-related Spatial Covariance Patterns using Neuroimaging Data

Published on: June 26, 2013

[Presentation of multidimensional observed vectors in the form of trigonometric functions, explained by means of an

F W Röhl, W Nahrendorf

    Zeitschrift Fur Die Gesamte Innere Medizin Und Ihre Grenzgebiete
    |April 1, 1982
    PubMed

    More Related Videos

    A Method of Trigonometric Modelling of Seasonal Variation Demonstrated with Multiple Sclerosis Relapse Data10:46

    A Method of Trigonometric Modelling of Seasonal Variation Demonstrated with Multiple Sclerosis Relapse Data

    Published on: December 9, 2015

    Optical Coherence Tomography Based Biomechanical Fluid-Structure Interaction Analysis of Coronary Atherosclerosis Progression13:07

    Optical Coherence Tomography Based Biomechanical Fluid-Structure Interaction Analysis of Coronary Atherosclerosis Progression

    Published on: January 15, 2022

    Related Concept Videos

    Vector Components in the Cartesian Coordinate System01:29

    Vector Components in the Cartesian Coordinate System

    Vectors are usually described in terms of their components in a coordinate system. Even in everyday life, we naturally invoke the concept of orthogonal projections in a rectangular coordinate system. For example, if someone gives you directions for a particular location, you will be told to go a few km in a direction like east, west, north, or south, along with the angle in which you are supposed to move. In a rectangular (Cartesian) xy-coordinate system in a plane, a point in a plane is...
    Cartesian Vector Notation01:28

    Cartesian Vector Notation

    Cartesian vector notation is a valuable tool in mechanical engineering for representing vectors in three-dimensional space, performing vector operations such as determining the gradient, divergence, and curl, and expressing physical quantities such as the displacement, velocity, acceleration, and force. By using Cartesian vector notation, engineers can more easily analyze and solve problems in various areas of mechanical engineering, including dynamics, kinematics, and fluid mechanics. This...
    Direction Cosines of a Vector01:29

    Direction Cosines of a Vector

    Direction cosines, which help describe the orientation of a vector with respect to the coordinate axes, are an essential concept in the field of vector calculus. Consider vector A that is expressed in terms of the Cartesian vector form using i, j, and k unit vectors. The magnitude of vector A is defined as the square root of the sum of the squares of its components. The direction of this vector with respect to the x, y, and z axes is defined by the coordinate direction angles α, β, and γ,...
    Vector Representation of Complex Numbers01:16

    Vector Representation of Complex Numbers

    Complex numbers, represented in Cartesian coordinates, can also be visualized as vectors. These vectors can be expressed in polar form, emphasizing their magnitude and angle. When a complex number is input into a function, the output is another complex number, highlighting the function's zero point from which the vector representation can originate.
    Consider a function defined as the product of the complex factors in the numerator divided by the product of the complex factors in the denominator.
    Vectors01:30

    Vectors

    Vectors are mathematical entities characterized by both magnitude and direction. Unlike scalars, which are defined solely by magnitude, vectors represent quantities like displacement, velocity, and force, where direction is essential. Vectors are graphically represented as directed line segments, extending from an initial point to a terminal point, denoted with bold letters or arrows placed above the symbol. Two vectors are deemed equal if they share identical magnitudes and directions,...
    Introduction to Vector Functions01:24

    Introduction to Vector Functions

    A vector-valued function, or simply a vector function, extends the concept of scalar functions by assigning a vector to each input value from its domain. In the context of motion through space, particularly in three dimensions, such functions are essential for describing trajectories and paths. A vector function r(t) is typically defined as:\begin{equation*}\mathbf{r}(t) = \langle f(t), g(t), h(t) \rangle\end{equation*}Here, f(t), g(t), and h(t) are real-valued component functions that define...