countable set is given‚ any other set which can be put into a one-to-one correspondence with is also countable. Countably infinite sets have cardinal number aleph-0. While on the other hand‚ continuously infinite numbers‚ also known as continuum hypothesis‚ proved by the German mathematician Georg Cantor‚ states that there is no infinite set with a cardinal number between that of the "small" infinite set of integers and the "large" infinite set of real numbers (the "continuum"). Courant‚ R. and
Premium Real number
Hypothesis Contrary to Fact Since the first man walked this earth‚ we have been trying to understand why everything is the way it is. Why do things work the way they do? What happens if you put this with that? Humans have always been determined to learn and understand everything they can. As a result‚ the knowledge that beings have acquired and the patterns in subjects have come to be facts. These facts show the definite ways that objects‚ persons‚ and events function. After studying‚ one can
Free Critical thinking Logic Scientific method
Efficient market hypothesis (EMH)‚ first promulgated by Eugene F. Fama (1970)‚ suggests that financial markets price assets precisely at their intrinsic worth given all publicly available information. Though several empirical works strongly confirm market efficiency‚ some of the hypotheses do not agree with the efficient market hypothesis‚ such as behavior finance hypothesis. This essay will discuss the assumption of efficient market hypothesis and implications when these assumptions do not hold
Premium Financial markets Behavioral finance Economics
Animal Testing Should Cease To Exist There are currently laws in place to protect animals‚ such as dogs and cats‚ from being abused or mistreated. The punishment for breaking this law can be anywhere from a small fine to two years in jail. An exception to these laws are animals used in research facilities. What makes a rabbit in a cage at home any different than a rabbit in a cage at a laboratory? There is no physical difference‚ only the law that decides the treatment they receive and the punishment
Premium Animal rights Animal testing Human anatomy
The Application of the Input Hypothesis and the Affective Filter Hypothesis to Independent Colleges English Listening Teaching Chapter Ⅰ INTRODUCTION 1.1 Research Context In each language‚ listening plays a big role in our daily life‚ let alone English. Listening occupies the top position in the communication‚ for we always get the input first and then produce the output. Most of the information about the world we gain is through listening. Listening also occupies the central role in language
Premium Second language acquisition Linguistics Language education
Determining the Plastic Limit and Plasticity Index of Soil (Referenced Document: ASTM D 4318) OBJECTIVE: To determine the plastic limit and plasticity index of soil. APPARATUS AND SUPPLIES Evaporating dish Spatula Ground-glass plate—at least 30 cm (12 in.) square by 1 cm (3⁄8 in.) thick for mixing soil and rolling plastic limit threads Balance (with accuracy to 0.01 g) Containers Oven PREPARATION OF TEST SPECIMEN Select a 20-g portion of soil from the material prepared for the
Premium Soil
StudyMode Homepage Betina Chan-Martin Updated 7/7/2014 Mocks: https://drive.google.com/a/studymode.com/#folders/0B4lfxnq7GN-KSEFyQ3BzVjBzVlU Requirements: Fully responsive homepage with more interactive elements then the current design. 1) Top Navigation: No changes 2) Search Carousel: Auto-rotating carousel that updates the carousel image‚ and topic within the search box. a) Auto rotates every 10 seconds until the user interacts with the search box or hovers over the browse
Premium Web browser Click
Worthless Tests Studies have shown that before taking a test‚ 18 out of 38 fourth graders rated test anxiety levels in the high range.” Liza Frenette stated. That is outrageous! Students shouldn’t have to feel this way before taking any test. But do these standardized tests even help our students improve their academic career? Standardized tests are not needed in education. To start off‚ a standardized test seems like it would help students grow in their educational career and help them
Premium
Logical Steps to Fault Finding The Twelve Steps 1 – Identify the symptoms It is very important to establish the events that led up to the problem on the faulty installation or equipment as this can help save time and money as well as reducing downtime. 2 – Gather Information The more information you can get when looking for a fault the easier it can be to diagnose the fault. Talking to people and looking at any available sources of information can achieve this. Some examples are;
Premium
Held back or moved on? Students in school sometimes have a hard time passing their tests at the end of the year‚ as to what allows them to move up to the next grade depending if the passed or failed. The government however‚ feels that students who do not pass the end of the school year test should no longer get moved up to the next grade and should be held back. On the other hand I feel that students should be allowed to go onto the next grade even if the student has failed the test. I believe
Premium Education PASS