An array is simply a group of objects, and the array factor is a measure of how much a specific characteristic changes because of the grouping. This phenomenon is observed when antennas are grouped together. The radiation (or reception) pattern of the antenna group is considerably different from that of a single antenna. This is due to the constructive and destructive interference properties of radio waves. A well designed antenna array, allows the broadcast power to be directed to where it is needed most. These antenna arrays are typically one dimensional, as seen on collinear dipole arrays, or two dimensional as on military phased arrays. In order to simplify the mathematics, a number of assumptions are typically made: 1. all radiators are equal in every respect 2. all radiators are uniformly spaced 3. the signal phase shift between radiators is constant. The array factor is the complex-valued far-field radiation pattern obtained for an array of isotropic radiators located at coordinates , as determined by: where are the complex-valued excitation coefficients, and is the direction unit vector. The array factor is defined in the transmitting mode, with the time convention . A corresponding expression can be derived for the receiving mode, where a negative sign appears in the exponential factors, as derived in reference. (Wikipedia).
Ex: Determine Factors and Greatest Common Factor Using a Fraction Wall or Rods
This video explains how to determine the factors and greatest common factor of two whole numbers using a fraction wall or rods. Site: http://mathispower4u.com
From playlist Factors, LCM, and GCF of Whole Numbers
How to Factor (Using the AC Method)
In this video I demonstrate how to factor any trinomial using the AC method! This is a great general method to use for any trinomial where a does not equal 1. I understand there are other methods such as the X method and the box method, this is just the one I use. I also understand that so
From playlist Intermediate Algebra
Algebra - Factoring by General Trinomials 2/3
Visit http://ilectureonline.com for more math and science lectures! In this lecture series I'll show you how to factor a polynomial by using the factoring by general trinomials.
From playlist ALGEBRA 30 - FACTORING
Introduction into factoring quadratics
👉Learn how to factor quadratics. A quadratic is an algebraic expression having two as the highest power of its variable(s). To factor an algebraic expression means to break it up into expressions that can be multiplied together to get the original expression. To factor a quadratic with th
From playlist Factor Quadratic Expressions
Factoring Blitz # 3 - Factoring Trinomials a = 1
👉Learn how to factor quadratics. A quadratic is an algebraic expression having two as the highest power of its variable(s). To factor an algebraic expression means to break it up into expressions that can be multiplied together to get the original expression. To factor a quadratic with th
From playlist Factor Quadratic Expressions
Factoring a trinomial with a equal to one, x^2 - 8x + 15
👉Learn how to factor quadratics. A quadratic is an algebraic expression having two as the highest power of its variable(s). To factor an algebraic expression means to break it up into expressions that can be multiplied together to get the original expression. To factor a quadratic with th
From playlist Factor Quadratic Expressions
This video explains how to determine the GCF of integers and expressions. http://mathispower4u.wordpress.com/
From playlist Integers
Factoring a basic trinomial using the x method, x^2 + 8x - 9
👉Learn how to factor quadratics. A quadratic is an algebraic expression having two as the highest power of its variable(s). To factor an algebraic expression means to break it up into expressions that can be multiplied together to get the original expression. To factor a quadratic with th
From playlist Factor Quadratic Expressions
This video introduces the concept of phased arrays. An array refers to multiple sensors, arranged in some configuration, that act together to produce a desired sensor pattern. With a phased array, we can electronically steer that pattern without having to physically move the array simply b
From playlist Understanding Phased Array Systems and Beamforming
From playlist Algorithms 1
Factoring the GCF from a binomial, 4x^2 + 24x
👉Learn how to factor quadratics. A quadratic is an algebraic expression having two as the highest power of its variable(s). To factor an algebraic expression means to break it up into expressions that can be multiplied together to get the original expression. To factor a quadratic, all we
From playlist Factor Quadratic Expressions | GCF
Mr Excel & excelisfun Trick 141: Lookup 3 Items in 3 tables: VLOOKUP, LOOKUP, VBA, Array?
Download Files: https://people.highline.edu/mgirvin/YouTubeExcelIsFun/MrExcelExcelisfunTrick141.xlsx Download workbook: http://people.highline.edu/mgirvin/ExcelIsFun.htm See Mr Excel and excelisfun in an epic back and forth duel (7 back and forths) try to figure out how to lookup three di
From playlist Excel Series: Mr Excel & excelisfun Excel Tricks
Heavy Quark Dynamics in QCD Matter by Santosh Das
DISCUSSION MEETING EXTREME NONEQUILIBRIUM QCD (ONLINE) ORGANIZERS: Ayan Mukhopadhyay (IIT Madras) and Sayantan Sharma (IMSc Chennai) DATE & TIME: 05 October 2020 to 09 October 2020 VENUE: Online Understanding quantum gauge theories is one of the remarkable challenges of the millennium
From playlist Extreme Nonequilibrium QCD (Online)
Live Stream #121: map() and reduce() in JavaScript
In this live stream, I cover higher order functions in JavaScript and discuss them in the context of arrays: map() and reduce() 19:04 - Introduction to higher order functions 44:00 - map() 1:09:53 - reduce() 🔗 Arrays on MDN: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Referen
From playlist Live Stream Archive
Comparing Algorithms: Big O Notation
In this video we look at to how to compare ressource requirements of algorithms, independently from hardware, implementation etc. In doing so we will come across a useful, but infamous tool from the field of algorithms: big O notation 00:00 Ressource requirements and the scalability of al
From playlist All About Algorithms
Programming Perlin-like Noise (C++)
NOTE! This is an approximation of Perlin Noise! :-S Noise is at the root of most procedurally generated content. However, just choosing random numbers alone is insufficient. Perlin noise adds local coherence over different scales to generate natural looking formations, which can be furthe
From playlist Interesting Programming
15. Cache-Oblivious Algorithms
MIT 6.172 Performance Engineering of Software Systems, Fall 2018 Instructor: Julian Shun View the complete course: https://ocw.mit.edu/6-172F18 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP63VIBQVWguXxZZi0566y7Wf Prof. Shun discusses cache-oblivious algorithms throug
From playlist MIT 6.172 Performance Engineering of Software Systems, Fall 2018
EngageNY Grade 3 Module 3 Lesson 9
EngageNY/Eureka Math Grade 3 Module 3 Lesson 9 For more videos, please visit http://bit.ly/engageportal
From playlist EngageNY Grade 3 Module 3
Lecture 3: Insertion Sort, Merge Sort
MIT 6.006 Introduction to Algorithms, Fall 2011 View the complete course: http://ocw.mit.edu/6-006F11 Instructor: Srini Devadas License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 6.006 Introduction to Algorithms, Fall 2011
How to factor a trinomial using diamond method
👉Learn how to factor quadratics. A quadratic is an algebraic expression having two as the highest power of its variable(s). To factor an algebraic expression means to break it up into expressions that can be multiplied together to get the original expression. To factor a quadratic with th
From playlist Factor Quadratic Expressions