The Real Number System

The REAL Number System Venn Diagram

Topic: The Real Number System

Labeling the Real Number System

Review of Sets and the Real Number System - Starter Quiz

General Mathematics covers the real number system, functions and their graphs (linear, quadratic, polynomial, exponential, and logarithmic), sequences and series, simple and compound interest, annuities and other financial mathematics applications, logic and reasoning (including propositions, truth tables, and arguments), and basic business mathematics involving problem solving and decision making.

New Jersey High School Algebra I - Topic: The Real Number System

1.Linguistics is the science that studies language. 2.Linguist:Someone who studies linguistics. 3.The Subfields of Linguistics Phonetics deals with the sounds of language. Phonology deals with how the sounds are organized. Morphology deals with how sounds are put together to form words. Syntax deals with how sentences are formed. Semantics deals with the meaning of words, sentences, and texts. Pragmatics deals with how sentences and texts are used in the world (i.e., in context) Text Linguistics deals with units larger than sentences, such as paragraphs and texts. 4.Prescriptive: This approach consists basically of stating what is considered right and wrong in language. 5.Descriptive: This approach, on the other hand, consists of describing the facts. Descriptive linguistics is dedicated to describing the rules of the language, and the language is seen as essentially rule governed. 6.Language is rule-governed, creative, universal, innate, and learned, all at the same time. 7.Linguists understand language as a system of arbitrary vocal signs. 8.Linguistic signs: involve sequences of sounds which represent concrete objects and events as well as abstractions.Signs may be related to the things they represent in a number of ways. 9.Iconic: which resemble the things they represent (as do, for example, photographs, diagrams, star charts, or chemical models). 10.Indexical: which point to or have a necessary connection with the things they represent (as do, for example, smoke to fire, a weathercock to the direction of the wind, a symptom to an illness, a smile to happiness, or a frown to anger). 11.Describe the characteristics of human language: Creative: (The structural elements of human language can be combined to produce new utterances, which neither the speaker nor his hearers may ever have made or heard before.) Rule-governed: (Language is made of rules.) Universal: (There are some aspects that are present in all languages of the world.) Innate:(all humans possess an innate capacity for language, activated in infancy by minimal environmental stimuli. Chomsky) Uniquely human: (Language is what sets us apart from other species. It is what makes us human.) Learned:(Children acquire language from their natural setting.) 12.Differentiate between iconic, indexical and symbolic signs. A. iconic, which resemble the things they represent (as do, for example, photographs, diagrams, star charts, or chemical models) B. indexical, which point to or have a necessary connection with the things they represent (as do, for example, smoke to fire, a weathercock to the direction of the wind, a symptom to an illness, a smile to happiness, or a frown to anger). c. symbolic, which are only conventionally related to the thing they represent (as do, for example, a flag to a nation, a rose to love, a wedding ring to marriage). 12. Distinguish between different senses of the grammar word. The prescriptivist´s grammar (Grammar is a set of rules that label the different utterances as either right or wrong.) The descriptivist´s grammar (Grammar is a set of rules that govern the langauge spoken by people. ) The linguist´s grammar (Grammar is the subconscious knowledge of the set of rules that enables speakers to use the language) The speaker´s grammar (Grammar is the intrinsic linguistic knowledge within a native speaker) 13.Describe common fallacies about language and grammar: ►One type of grammar is simpler than another. ►Changes in grammar involve deterioration in a language ►Grammars should be logical and analogical (that is, regular) ►People must be taught the grammatical rules of their language. ►Only some languages have grammar. ►Grammars differ from each other in unpredictable ways. 14.Generality: All Languages Have a Grammar 15. Equality: All Grammars Are Equal 16.Changeability: Grammars Change Over Time 17. Universality: Grammars Are Alike in Basic Ways 18.Tacitness: Grammatical Knowledge Is Subconscious 19.Linguistics is defined as the study of language systems. It is the scientific study of language. 20.Historical approach:It is the study of language change. 21.Linguistic Competence: is the unconscious knowledge speakers of a language have about the system that enables them to create and understand novel utterances. 22.Performance: is the use of it. Performance is “the actual use of language in concrete situations.” 23.I-Language (internal language): which is the intrinsic linguistic knowledge within a native speaker. 24.E-Language (external language): which is the observable language—the output from a speaker. 25.Parole ('speech') refers to the concrete instances of the use of langue, including texts which provide the ordinary research material for linguistics. 26.Langue: 27.Language: is a system of communication that is non-stereotyped and non-finite; it is unlimited in its scope. 28.Grammar: to refer to a subconscious linguistic system of a particular type. Grammar makes possible the production and comprehension of a potentially unlimited number of utterances. 29.Communication and animals: Selecting a mode of communication (speech,writing, gesture). Delivering the symbols through a medium, a physical basis for communication, light, air, or ink. Decoding of the symbols to obtain the information. 30.SIGNS: Communication relies on using something to stand for something else. Words are an obvious example of this: You do not have to have a car, a sandwich, or your cousin present in order to talk about them—the words car, sandwich, and cousin stand for them instead. This same phenomenon is found in animal communication as well. 31.The signifier: A signifier is that part of a sign that stimulates at least one sense organ of the receiver of a message.A signifier can also be a picture, a photograph, a sign language gesture, or one of the many other words for tree in different languages. 32.The signified: The signified component of the sign refers to both the real world object it represents and its conceptual content. The first of these is the real world content of the sign, its extension or referent within a system of signs such as English, avian communication, or sign language. 33.Iconic signs or icons: always bear some resemblance to their referent. A photograph is an iconic sign; so too is a stylized silhouette of a female or a male on a restroom door. 34.Some iconic tokens: a. open-mouth threat by a Japanese macaque; b. park recreation signs; c. onomatopoeic words in English. 35.An indexical sign, or index, fulfils its function by pointing out its referent, typically by being a partial or representative sample of it. Indexes are not arbitrary, since their presence has in some sense been caused by their referent. For this reason it is sometimes said that there is a causal link between an indexical sign and its referent.The track of an animal, for example, points to the existence of the animal by representing a part of it. The presence of smoke is an index of fire. 36.Symbolic signs: bear an arbitrary relationship to their referents and in this way are distinct from both icons and indexes. Human language is highly symbolic in that the vast majority of its signs bear no inherent resemblance or causal connection to their referents, as the following words show. 37.Mixed signs Signs: are not always exclusively of one type or another. Symptomatic signs, for example, may have iconic properties, as when a dog opens its mouth in a threat to bite. Symbolic signs such as traffic lights are symptomatic in that they reflect the internal state of the mechanism that causes them to change color. 38.Signals: All signs can act as signals when they trigger a specific action on the part of the receiver, as do traffic lights, words in human language such as the race starter's "Go!", or the warning calls of birds. 39.SIGN STRUCTURE: No matter what their type, signs show different kinds of structure. A basic distinction is made between graded and discrete sign structure. 40.Graded signs convey their meaning by changes in degree. A good example of a gradation in communication is voice volume. The more you want to be heard, the louder you speak along an increasing scale of loudness. There are no steps or jumps from one level to the next that can be associated with a specific change in meaning. 41.Discrete signs are distinguished from each other by categorical (stepwise) differences. There is no gradual transition from one sign to the next. The words of human language are good examples of discrete signs. 42.A VIEW OF ANIMAL COMMUNICATION ►Largely iconic ►Largely symptomatic ►Little arbitrary ►Not deliberate ►Not conscious ►Not symbolic ►Stimulus bound

President Xi Jinping, who is also general secretary of the Communist Party of China Central Committee and chairman of the Central Military Commission, visits Luoyang Bearing Group Co on Monday afternoon during his inspection of Luoyang, Henan province. During the visit, Xi called for continuous efforts to make the manufacturing industry even stronger to advance Chinese modernization. YAN YAN/XINHUA President Xi Jinping has stressed the importance of keeping businesses, employment, the market and expectations stable in the face of a complex international environment, saying that China will respond to various uncertainties with the certainty of its high-quality development. Xi, who is also general secretary of the Communist Party of China Central Committee and chairman of the Central Military Commission, made the remarks on Tuesday as he wrapped up a two-day fact-finding trip to Central China's Henan province. Speaking to provincial Party and government officials at a work briefing on Tuesday in Zhengzhou, the provincial capital, Xi said that high-quality development is essential to Chinese modernization. Faced with the complex external environment, it is necessary to firm up confidence, unwaveringly manage China's own affairs well, and steadfastly expand high-level opening-up, he said. He also urged Henan, one of the country's economic powerhouses, to further consolidate the foundation of its real economy, and promote the development of new quality productive forces suited to local conditions and led by technological innovation, in order to enhance the capacity of its modern industrial system to support high-quality development. When visiting Luoyang Bearing Group Co in the city of Luoyang on Monday, Xi said: "China has always adhered to the path of developing the real economy. From the past reliance on imported matches, soap and iron, to now becoming the world's largest manufacturing country with the most complete industrial categories, we have taken the right path." As a traditional manufacturing enterprise specializing in bearings, Luoyang Bearing Group's products are widely used in fields such as aerospace, construction machinery, wind power generation, rail transit, port machinery and ships. After learning about the company's efforts to accelerate the development of advanced manufacturing, Xi said that China must continue to strengthen the manufacturing sector, adhere to the principles of building self-reliance and strength, and master core technologies in key fields. "The hope is placed on you," he told the on-site workers. He also called for efforts to strengthen collaboration between industries, universities and research institutes, and cultivate a large number of high-quality talent. Despite internal challenges and increasing external shocks, China's manufacturing industry has withstood pressure and maintained stable growth. In April, the manufacturing sector saw its value-added output climb 6.6 percent year-on-year, with that of equipment manufacturing and high-tech manufacturing up 9.8 percent and 10 percent, respectively, according to data released by the National Bureau of Statistics on Monday. Advanced manufacturing is the high ground in global industrial competition and the main battlefield for technological innovation. Xi has repeatedly emphasized the need to upgrade the country's modernized industrial system, supported by advanced manufacturing. In a resolution adopted at the third plenary session of the 20th CPC Central Committee in July last year, it was clearly stated that China will move faster to advance new industrialization, promote the growth and expansion of advanced manufacturing clusters, and make the manufacturing sector higher-end, smarter and more eco-friendly. On Monday, Xi also visited the White Horse Temple, the first Buddhist temple in China, and the Longmen Grottoes, a UNESCO World Heritage site. Contact the writers at mojingxi@chinadaily.com.cn

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