Algebra Archit Pal Singh Sachdeva 1. Consider the sequence of polynomials defined by P1 (x) = x2 − 2 and Pj (x) = P1 (Pj−1 (x)) for j = 2‚ 3‚ . . .. Show that for any positive integer n the roots of equation Pn (x) = x are all real and distinct. 2. Prove that every polynomial over integers has a nonzero polynomial multiple whose exponents are all divisible by 2012. 3. Let fn (x) denote the Fibonacci polynomial‚ which is defined by f1 = 1‚ f2 = x‚ fn = xfn−1 + fn−2 . Prove that the inequality 2 fn
Premium Polynomial Real number Integer
LEDs… Release only ONE color of light Produce very little heat What is an LED? They are semiconductor devices that can convert electrical energy directly into light due to the nature of the bonding that occurs in the semiconductor solid. Type of bonding is directly related to conductivity of solid. Bonding in Elemental Solids Electronegativity – the ability of an atom to attract electrons to itself. Atoms with low e.n. (metals) don’t hold valence electrons tightly valence
Premium Amino acid Hemoglobin Protein
normal weight‚ overweight and obesity is reflected in Body Mass Index (BMI). Normal proof of body mass index or BMI is formulated by dividing your weight in kilograms by the square of your height in meters. This calculates your weight and height in the metric system. The official formula of BMI_703W/H2 is then used. In this formula‚ W is your weight in pounds‚ while your height in inches is substituted by H. Calculations for BMI or Body Mass Index can show the possibilities of my being normal‚ overweight
Premium Body mass index Obesity Mass
PERCEPTION ON BULLYING AND ATTITUDES OF THE INTERMEDIATE PUPILS IN SAN ROQUE ELEMENTARY SCHOOL. BASIS FOR DEVELOPING GUIDANCE ACTIVITIES Dhea‚ Castillo Jamelyn‚ Dimaculangan Gerelyn C. Gonzalvo BEED- IV Chapter 1 The Problems and Its Background Introduction Bullying is difficult to define with a concrete definition because the act of bullying can be perceived differently by whoever is experiencing the event. An act of horseplay can be meant as a playful gesture but viewed as an
Premium Bullying Abuse Aggression
4th Amendment In the Constitution of the United States of America‚ the first 10 Amendments are called‚ “The Bill of Rights.” The fourth amendment states‚ “The right of the people to be secure in their persons‚ houses‚ papers‚ and effects‚ against unreasonable searches and seizures‚ shall not be violated‚ and no Warrants shall issue‚ but upon probable cause‚ supported by Oath or affirmation‚ and particularly describing the place to be searched‚ and the persons or things to be seized.” To this
Premium United States Constitution United States Fourth Amendment to the United States Constitution
(I made this when I was a freshman. I’m now a Junior.) Why do we need to learn Algebra? What’s the point of learning Algebra in the first place? After all‚ all of the math leading up to Algebra that we learned growing up such as addition‚ multiplication‚ decimals‚ fractions‚ et cetera that seems to have a concrete meaning? This concept all deals with numbers‚ in some way or another‚ and because of this we can apply it to our daily lives like calculating‚ and in our chosen career. In short
Premium Mathematics Skill Real number
Intermediate Sanctions Florence Thomas Axia College of University of Phoenix Intermediate sanctions are criminal sentences that fall between standard probation and incarceration. Intermediate sanctions can include house arrest‚ intensive probation (i.e.‚ probation with more conditions beyond the basic conditions of standard probation)‚ boot camps‚ electronic monitoring‚ and drug treatment programs. Intermediate sanctions serve a dual purpose in the criminal justice system
Premium Crime Prison Criminal law
Algebra Algebra was invented by the Muslim mathematician Al-Khwarizmi in the book he wrote in 820. Algebra is the Arabic word (aljabr) for "equation"‚ and the word "algorithm" comes from the author’s name‚ Al-Khwarizmi. He is rightly known as "the father of Algebra The roots of algebra can be traced to the ancient Babylonians‚ who developed an advanced arithmetical system with which they were able to do calculations in analgorithmic fashion. The Babylonians developed formulas to calculate solutions
Premium Elementary algebra Algebra Mathematics
Intermediate Sanctions Intermediate sanctions are the sanctions that are more restrictive than the probation and less restrictive than imprisonment. It is also intended to relieve the pressure on the over crowed facilities that deal with the corrections and the probation departments that are understaffed. The purpose for the intermediate sanction in the criminal justice process is that it helps with any of the concerns from the facilities being packed and over crowed. Jails and the prisons
Premium Criminal justice Prison
Tatenda Shumba Shane Johnson Per 4 Is algebra necessary? Algebra is important to learn. But it is not necessary. Life existed before algebra was invented and could still continue without it. There are many applications of Algebra in real life situations. It is important to learn the basics‚ especially when it comes to money and finance. Many adults use the basics but not anything beyond‚ like if you were to go around and ask what is the quadratic equation not most adults would get it
Premium Real number Elementary algebra Quadratic equation