MATHEMATICAL FORMULAE Algebra 1. (a + b)2 = a2 + 2ab + b2 ; a2 + b2 = (a + b)2 − 2ab 2. (a − b)2 = a2 − 2ab + b2 ; a2 + b2 = (a − b)2 + 2ab 3. (a + b + c)2 = a2 + b2 + c2 + 2(ab + bc + ca) 4. (a + b)3 = a3 + b3 + 3ab(a + b); a3 + b3 = (a + b)3 − 3ab(a + b) 5. (a − b)3 = a3 − b3 − 3ab(a − b); a3 − b3 = (a − b)3 + 3ab(a − b) 6. a2 − b2 = (a + b)(a − b) 7. a3 − b3 = (a − b)(a2 + ab + b2 ) 8. a3 + b3 = (a + b)(a2 − ab + b2 ) 9. an − bn = (a − b)(an−1 + an−2 b + an−3 b2 + · · · + bn−1 ) 10
Premium Real number Polynomial Quadratic equation
Greek Mathematical Development Michael Morton Baker College Ancient knowledge of the sciences was often wrong and wholly unsatisfactory by modern standards. However not all of the knowledge of the more learned peoples of the past was false. In fact without people like Euclid or Plato we may not have been as advanced in this age as we are. Mathematics is an adventure in ideas. Within the history of mathematics‚ one finds the ideas and lives of some of the most brilliant people in the history
Premium Euclidean geometry Geometry Euclid
Logical Fallacies Defined Abstract Fallacies can be viewed as a mistake or error. There are many different fallacies with different meanings for each. The following paper will discuss 9 logical fallacies. The paper will also include definitions for each of the 9 fallacies as well as examples of being applied to real life scenarios. Logical Fallacies defined Everyone has gotten into an argument with someone once or twice in their lifetime. Some people have mastered their skills in
Premium Argument Fallacy Critical thinking
argument is an argument in which the premises given for the conclusion do not provide the needed degree of support (Atheism Web). Fallacies of distraction attempt to distract from the falsity of an argument by the illegitimate use of logical operators (Stephen ’s Guide to Logical Fallacies). False Dilemma. In this fallacy‚ the distraction lies in the wording of the argument. It is worded so that we are only given two alternatives. One of which is sometimes so outrageous as to be unacceptable‚ while
Free Fallacy Critical thinking Argumentation theory
erms The Complete Mathematical Terms Dictionary Understanding math concepts is critical in our world today. Math is used daily by nearly everyone‚ from lay persons to highly degreed professionals. Situations in which math is used vary from simply balancing a checkbook or calculating the amount of change due from a store transaction all the way to making blueprints for an office building or house and the construction of those buildings. Understanding how to solve math problems becomes easier as
Premium Elementary arithmetic Real number Angle
Measuring Intelligence Individual differences Discuss the main issues involved in defining and measuring intelligence Since the end of the nineteenth century psychologists were studding intelligence and they were trying to find the answer what is the intelligence and how it can be measure? Psychologists have /made a huge progress in the development of measuring intelligence but a little progress in defining intelligence. I will first outline the main issue involved in defining intelligence. I
Free Intelligence Intelligence quotient Wechsler Adult Intelligence Scale
designed. Database design has two parts. The first part is the logical design and the second part is the physical design. Logical Design The logical design is an abstract model which focus on what the system must do in order to meet the requirements of the organization’s needs. The logical design involves gathering the information about the business process‚ business entities‚ and organizational units (Unknown‚ 2001). The logical design is basically a blueprint that identifies the functions requirement
Premium The Real World Object-oriented programming Output
CRITICAL THINKING PSU LOGICAL FALLACIES Ad hominem or ATTACKING THE PERSON. Attacking the arguer rather than his/her argument. Example: John’s objections to capital punishment carry no weight since he is a convicted felon. Note: Saying something negative about someone is not automatically ad hominem. If a person (politician for example) is the issue‚ then it is not a fallacy to criticize him/her. Ad ignorantium or APPEAL TO IGNORANCE. Arguing on the basis of what is not known and cannot be
Premium Logic Logical fallacies Fallacy
A logical framework for the early girl child marriage elimination project. Narrative summary Objectively verifiable indicators Means of verification Assumptions. Goals( Development obj.) Overall number of school girls engaged in early and forced marriage in Mandera County to be eliminated. Number of school going girls forced to out of school for the purpose of marriage in Mandera County. Secondary data that becomes available over the course of the project including: i) Reports from schools
Free Marriage Arranged marriage Sociology
Jarboe I February 8‚ 2011 Logical Fallacies Before we can understand what a logical fallacy is‚ we establish some common background information for the purposes of accurate communication. There are two types of reasoning‚ inductive and deductive. The primary difference between the two is that inductive reasoning automatically allows for an appeal to probability‚ the assumption that what could happen will happen‚ while deductive reasoning considers this a logical fallacy. Thus for the purposes
Free Fallacy Critical thinking Deductive reasoning