different amounts of mass to the cart and measured the changes in acceleration. From all of the data collected we concluded that force and acceleration have a direct‚ linear relationship. We also determined that mass and acceleration have an inverse‚ quadratic relationship. Background: When my lab partners and I started this lab‚ we came in knowing some background information on what we were doing and the concepts involved. We knew that we had to determine the relationships between acceleration
Free Force Mass
revealed the secret to Cardano in 1539‚ with the promise that he would never publish his discovery in his books. While teaching in Milan‚ he and one of his students and assistants‚ Ludovico Ferrari found a new solution for the cubic equation and the quadratic equation. However‚ both of the solutions required the use Tartagalia’s discovery in order to solve it. In 543‚ Cardano and his assistant traveled to Bologna‚ they came found a solution to the depressed cubic and immediately they published their
Premium Florence Italy Renaissance
Elements of Mathematics for Economists Bernard Cornet January 18‚ 2011 Contents Notation 1 Euclidean Spaces 1.1 Scalar Product and Associated Norm . . . . . . . . . . . . 1.1.1 Scalar Product . . . . . . . . . . . . . . . . . . . . 1.1.2 Norm Associated to a Scalar Product . . . . . . . . 1.1.3 Convergence in a Normed Space . . . . . . . . . . . 1.1.4 Euclidean Spaces and Hilbert Spaces . . . . . . . . 1.2 Matrices and Scalar Product . . . . . . . . . . . . . . . . . 1.2.1 Generalities on Matrices
Premium Linear algebra
math teacher shows their students how to do math‚ you were the first teacher who taught us what the math meant‚ what people actually used it for. I came out of algebra‚ geometry‚ and pre-calculus with knowledge of how to factor‚ how to use the Pythagorean Theorem‚ and how to find a function’s horizontal asymptotes‚ but after your calculus class I had a deeper understanding of the topics you taught us. And‚ since in your class I began to understand the usefulness of things like related rates or integration
Premium Education Mathematics Teacher
13 March 2014 Early Philosophers “Pre-Socratic” or “Mythopoeic” thinkers? The Ancient Greek philosophers played a pivotal role in the shaping of the western philosophical tradition. The Ancient Greek philosophical tradition broke away from a mythological approach to explaining the world‚ and it initiated an approach based on reason and evidence. Initially concerned with explaining the entire cosmos (the universe seen as a well-ordered whole)‚ the Pre-Socratic philosophers strived to identify its
Premium Philosophy
2000-1800 BC) and the Moscow Mathematical Papyrus (Egyptian mathematics c. 1890 BC). All of these texts concern the so-called Pythagorean theorem‚ which seems to be the most ancient and widespread mathematical development after basic arithmetic and geometry. The study of mathematics as a subject in its own right begins in the 6th century BC with the Pythagoreans‚ who coined the term "mathematics" from the ancient Greek μάθημα (mathema)‚ meaning "subject of instruction". Greek mathematics
Premium Centuries Mathematics Algebra
In ancient Mesopotamia‚ we introduce the concept of reciprocal‚ plus solutions to different logarithmic problems‚ progress was such that it created algorithms for calculating sums of progressions. In geometry‚ it is believed that they knew the Pythagorean Theorem‚ though not as a general theorem. With no doubt‚ China played a big role in mathematical progress. However‚ it was in Greece‚
Premium Calculus Mathematics Derivative
The Stoics and Socrates The question of the reality of the soul and its distinction from the body is among the most important problems of philosophy‚ for with it is bound up the doctrine of a future life. The soul may be defined as the ultimate internal principle by which we think‚ feel‚ and will‚ and by which our bodies are animated. The term "mind" usually denotes this principle as the subject of our conscious states‚ while "soul" denotes the source of our vegetative activities as well. If
Premium Soul Life Plato
east to acquire knowledge. Little is known about his life because records were not kept. all we know are some major discoveries that were recovered. Demoritus was born in Abdera‚ Thrace about 460B.C. and died about 370 B.C. He was schooled at Pythagorean but traveled to Athens to visit Anaxagoras‚ a great mathematician that wanted nothing with Democritus. His father was from a noble family and of great wealth‚ which Democritus inherited and decided to travel to but not limited to Egypt‚ India‚ Etheopia
Premium Plato Aristotle Democritus
and INTERCEPTS TOPIC 5 - STATISTICS TOPIC 6 - GEOMETRY OF THE CIRCLE TOPIC 7 - INDICES TOPIC 8 - SUFFICIENCY CONDITIONS for QUADRILATERALS TOPIC 9 - CO-ORDINATE GEOMETRY and REGIONS TOPIC 10 - SIMULTANEOUS EQUATIONS TOPIC 11 - SOLUTION of QUADRATIC EQUATIONS and MAX/MIN PROBLEMS TOPIC 12 - LINEAR PROGRAMMING TOPIC 13 - POLYNOMIALS TOPIC 14 - TRIGONOMETRY TOPIC 15 - PROBABILITY TOPIC 16 - FUNCTIONS‚ FUNCTION NOTATION and GRAPHS JAMES RUSE AGRICULTURAL HIGH SCHOOL MATHEMATICS PROGRAMME
Premium Problem solving