• Study Resource
  • Explore
    • Arts & Humanities
    • Business
    • Engineering & Technology
    • Foreign Language
    • History
    • Math
    • Science
    • Social Science

    Top subcategories

    • Advanced Math
    • Algebra
    • Basic Math
    • Calculus
    • Geometry
    • Linear Algebra
    • Pre-Algebra
    • Pre-Calculus
    • Statistics And Probability
    • Trigonometry
    • other →

    Top subcategories

    • Astronomy
    • Astrophysics
    • Biology
    • Chemistry
    • Earth Science
    • Environmental Science
    • Health Science
    • Physics
    • other →

    Top subcategories

    • Anthropology
    • Law
    • Political Science
    • Psychology
    • Sociology
    • other →

    Top subcategories

    • Accounting
    • Economics
    • Finance
    • Management
    • other →

    Top subcategories

    • Aerospace Engineering
    • Bioengineering
    • Chemical Engineering
    • Civil Engineering
    • Computer Science
    • Electrical Engineering
    • Industrial Engineering
    • Mechanical Engineering
    • Web Design
    • other →

    Top subcategories

    • Architecture
    • Communications
    • English
    • Gender Studies
    • Music
    • Performing Arts
    • Philosophy
    • Religious Studies
    • Writing
    • other →

    Top subcategories

    • Ancient History
    • European History
    • US History
    • World History
    • other →

    Top subcategories

    • Croatian
    • Czech
    • Finnish
    • Greek
    • Hindi
    • Japanese
    • Korean
    • Persian
    • Swedish
    • Turkish
    • other →
 
Sign in Sign up
Upload
Assessing the Vulnerability of the Fiber Infrastructure
Assessing the Vulnerability of the Fiber Infrastructure

A New Torus Bounding for Line-Torus Intersection
A New Torus Bounding for Line-Torus Intersection

COMPLEX NUMBERS, UNDETERMINED
COMPLEX NUMBERS, UNDETERMINED

Complex Numbers
Complex Numbers

... We know that cos θ + ı̇ sin θ is on the circle |z| = 1, and taking powers of it just rotates it around. The only real numbers it could possibly hit are −1 and 1. So we could try to solve (cos θ + ı̇ sin θ)75 = 1 and (cos θ + ı̇ sin θ)75 = −1 separately. But we can also combine these two into (cos θ ...
Calibration of Electrical Fast Transient/ Burst Generators
Calibration of Electrical Fast Transient/ Burst Generators

...  The real and imaginary axes extend to plus and minus infinity while the magnitude is always non-negative.  The phase is cyclical in nature. To avoid these problems, the output quantities of the measurement model should be in terms of real and imaginary parts. Results should only be converted into ...
Trigonometry and Complex Numbers
Trigonometry and Complex Numbers

Geometry in the Complex Plane
Geometry in the Complex Plane

Trigonometry and Complex Numbers
Trigonometry and Complex Numbers

Perspective and Art - Ambedkar University Delhi
Perspective and Art - Ambedkar University Delhi

Functions of a Complex Variable
Functions of a Complex Variable

Lecture Note 08 EECS 4101/5101 Instructor: Andy Mirzaian All
Lecture Note 08 EECS 4101/5101 Instructor: Andy Mirzaian All

... -2problem is now to compute, for each vertex pi in this graph, its nearest adjacent vertex p j . But since the graph is complete, it has Θ(n2) edges. The sparsification method will eliminate many irrelevant edges to obtain a sparse subgraph that still contains the edges we are seeking. The sparse g ...
Development of Algebra:Cardaro, Tartaglia and Ferrari in 1300`s in
Development of Algebra:Cardaro, Tartaglia and Ferrari in 1300`s in

... .44989 -.31462; .44989 -.3146; .449892 -.31462,etc. Euler’s best mathematicin 1700’s like Mozart w/symphonies, travel a lot. Gauss less famous.Newton just respect. Enter=>no money PP fascinated by polynominals. Gauss at the end of the 1700’s (Math student in Germany)became interested in proving tghe ...
on the number of sums and products - UBC Math
on the number of sums and products - UBC Math

... Corollary 2 (Szemerédi and Trotter [12]). Given a set of n points on the real plane, the number of k-rich lines (that is, lines incident to at least k points) is O(n2 /k 3 + n/k). In the proof of Theorem 1 we use Theorem 2 and Corollary 2 on Cartesian products only; similar statements are easy to p ...
Answers - updated with answers to tangent planes
Answers - updated with answers to tangent planes

... if the above limit exits. Proposition 1. Suppose f : Dn ⊆ Rn → R is differentiable at a point a in Dn . Then − k∇f (a)k 6 ∇f (a) · v 6 k∇f (a)k The maximum of ∇f (a) · v is attained if and only if v = c∇f (a) for some positive number c. The minimum of ∇f (a) · v is attained if and only if v = c∇f (a ...
A Graphic Method Of Measuring Vertical Angles From
A Graphic Method Of Measuring Vertical Angles From

... skeleton form; 0 is the perspective center, n the nadir point, P the principal point, nha' the picture plane, noh the principal plane, oha' the horizon plane, and noa' a vertical plane through the plumb line on and a picture point a, to which the vertical angle a is to be measured. In Figure 2, the ...
wave equation - MIT OpenCourseWare
wave equation - MIT OpenCourseWare

Complex Numbers and Phasors
Complex Numbers and Phasors

... Modern Version of Steinmetz’ Analysis 1. Begin with a time-dependent analysis problem posed in terms of real variables. 2. Replace the real variables with variables written in terms of complex exponentials; is an eigenfunction of linear ...
HW 7 6341
HW 7 6341

MATH TODAY
MATH TODAY

1.6 Perform Operations with Complex Numbers
1.6 Perform Operations with Complex Numbers

... What is a complex conjugate? When do you use it? How do you find the absolute value of a complex number? ...
Geometry Name Chapter 3 CENTRAL problem Due Date Core
Geometry Name Chapter 3 CENTRAL problem Due Date Core

... For this CENTRAL problem create a slide show using either power point or google slides. You must submit one slide show in google classroom that includes ALL pieces of the CENTRAL problem. Include a title page with name and class hour. ...
Mathematics 320
Mathematics 320

Polynomials Review and Complex numbers
Polynomials Review and Complex numbers

... Practice Compute the following: (1 + 2i)(6 – 4i) ...
Sample Paper Round 1
Sample Paper Round 1

Exam,141025,solutions File
Exam,141025,solutions File

... Z ∞ Z ∞ eix dx cos x dx ...
1 >

Complex plane



In mathematics, the complex plane or z-plane is a geometric representation of the complex numbers established by the real axis and the orthogonal imaginary axis. It can be thought of as a modified Cartesian plane, with the real part of a complex number represented by a displacement along the x-axis, and the imaginary part by a displacement along the y-axis.The concept of the complex plane allows a geometric interpretation of complex numbers. Under addition, they add like vectors. The multiplication of two complex numbers can be expressed most easily in polar coordinates—the magnitude or modulus of the product is the product of the two absolute values, or moduli, and the angle or argument of the product is the sum of the two angles, or arguments. In particular, multiplication by a complex number of modulus 1 acts as a rotation.The complex plane is sometimes called the Argand plane because it is used in Argand diagrams. These are named after Jean-Robert Argand (1768–1822), although they were first described by Danish land surveyor and mathematician Caspar Wessel (1745–1818). Argand diagrams are frequently used to plot the positions of the poles and zeroes of a function in the complex plane.
  • studyres.com © 2023
  • DMCA
  • Privacy
  • Terms
  • Report