'Imaginary parts' diaporamas de présentation

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Analysis of Subdivision Surfaces at Extraordinary Vertices

Analysis of Subdivision Surfaces at Extraordinary Vertices. Dr. Scott Schaefer. Structure of Subdivision Surfaces. Structure of Subdivision Surfaces. Structure of Subdivision Surfaces. Structure of Subdivision Surfaces. Structure of Subdivision Surfaces. Structure of Subdivision Surfaces.

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The Electromagnetic Field

The Electromagnetic Field. Maxwell Equations. Constitutive Equations. Boundary Conditions. Gauss divergence theorem. Leads to. Boundary Conditions. Boundary Conditions.

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Introduction

Introduction

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Polynomial Functions

Polynomial Functions. Karen Huie. Trey Gibson. Brittani Cartner. Polynomial Functions. What are Polynomial functions? Definition: Polynomial functions are defined and continuous on all real numbers.

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Complex Numbers

Complex Numbers. Any positive real number b, where i is the imaginary unit and bi is called the pure imaginary number. Definition of pure imaginary numbers:. Definition of pure imaginary numbers:. i is not a variable it is a symbol for a specific number. Simplify each expression.

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Introduction

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Warm Up

Tuesday, February 4 th. Warm Up. Simplify each expression 1. 2. . Week 4-# 2. Quiz on Friday . Imaginary Numbers Simplifying Adding and subtracting Multiplying and dividing Review Rational exponents Simplifying radicals .

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Section 1.6

Section 1.6. The Complex Number System. Topics. The imaginary unit i and its properties The algebra of complex numbers Roots and complex numbers . The Imaginary Unit i and its Properties. The Imaginary Unit i

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Review of Complex numbers

Imag. r =|z |. y. f. Real. x. Review of Complex numbers. Rectangular Form:. Exponential Form:. Imag. y = Im (z). Real. x = Re(z). Real & Imaginary Parts of Rectangular Form. The real and imaginary parts of a complex number in rectangular form are real numbers:.

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Complex Numbers

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Complex Numbers

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Phasor Diagrams and Phasor Algebra

Phasor Diagrams and Phasor Algebra. Md Shahabul Alam Dept. of EEE. Phasor Diagrams and Phasor Algebra. The Phasor Diagram Phasor Diagram of a Sinusoidal Waveform Phase Difference of a Sinusoidal Waveform Phasor Addition Phasor Subtraction The 3-Phase Phasor Diagram

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Complex Numbers

Complex Numbers. 1. Simplifying. 2. Addition & Subtraction. 3. Multiplication. Remember: Imaginary Number ( i ). Defined as: Powers of i. Simplifying Monomials. Simplify a Power of i Steps Separate i into a power of 2 or 4 taken to another power

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Introduction

Introduction. Today we will look at some complex number questions. These questions will help you with your coursework. If you can not do these questions you must re-read your lecture summaries and the HELM workbooks until you can. .

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Lesson 3.6 Complex Roots of Polynomials

Lesson 3.6 Complex Roots of Polynomials. At the conclusion of this lesson you will be able to:. Write complex numbers in the form of a + b i. Find zeros of quadratic functions involving complex numbers. Determine how many complex roots a polynomial may have before

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Unit 4Radicals

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Lecture 2: Lines and circles on the complex plane; complex multiplication and division

Lecture 2: Lines and circles on the complex plane; complex multiplication and division. Key Points. Two complex numbers can be multiplied by expressing each number in the form z = x + jy , then using distributivity and the rule j 2 = -1 (i.e., j is treated as the square root of -1).

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Writing complex numbers

Writing complex numbers. Unit 1: topic 3. VOCABULARY. Square root: A number r is a square root of a number if r 2 = s Radical: the symbol ? is a radical sign Radicand: the number beneath the radical sign Imaginary unit i : defined as i = ?-1 i 2 = -1. VOCABULARY.

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