Mathematics is a highly instrumental science, and it has a high degree of abstraction compared to other sciences. Initially, computer scientists can not do without mathematics, and mathematical workers think that the computer is dispensable to them, but now are inseparable from each other, the computer also improves the status of mathematical workers in people's minds, most of the mathematical workers began to recognize the importance of computers, and more and more into the field of computers to play a role. But with the rapid development of artificial intelligence, GPS (Global Positioning System) and other rapid development and computer computing performance by leaps and bounds, the advantages of computers more and more in-depth into the field of thinking, so the computer will be a profound mathematical theory to the actual, very effective solution to many practical problems, such as the famous problem of the four-color problem is proved by the computer. There are many branches of mathematics with practical value in the problem solving process such as analytical geometry, wavelet analysis, discrete mathematics, bionic computing, finite unit methods in numerical computation and so on. It lets people know that computer programming combines mathematical knowledge and mathematical ideas.
Software programming is based on the foundation of mathematical models above, so mathematics is the main foundation of computer science, discrete mathematics as the representative of applied mathematics is the main tool to describe the theory, methods and techniques of the discipline. Not only many theories in software programming are described by mathematics, but also many techniques are described by mathematics. Examining the programming aspects of various computer applications, any program that can be run on a stored-program electronic digital computer must first of all be constructive in its computational counterparts, the data representation must be discrete, and the computational operations must be carried out using either logical or algebraic methods, which should be embodied in the algorithms and programs. Moreover, up to now, the theoretical basis for the correctness of algorithms, the semantics of programs and their correctness has remained mathematical logic, or furthermore model theory. The real program semantics is semantics in the model-theoretic sense. Thus the rigor of the operation of software programming ideas, the high degree of consistency between the theoretical approach of the discipline and the implementation technology is the fundamental reason why the discipline of computer science and technology is closely related to the discipline of mathematics. From the point of view of disciplinary characteristics and disciplinary methodology, software programming is the main foundation of the idea of mathematical thinking, especially in mathematics to algebra, logic as a representative of the discrete mathematics, while the program technology and electronic technology is only a computer science and technology disciplines or the realization of a product or a technical form of expression.
(a) the development of mathematics in the field of computers
Today's shape *** of the software, are inevitably linked to mathematics, they are mutually reinforcing. For example, the application of logic in the discipline from the early development of mathematical logic to today's programming model theory; mathematics in the discipline from the early development of abstract algebra to today's graphics, engineering problems; the application of geometry from the early development of two-dimensional planar computer graphics to today's three-dimensional animation software systems, and the combination of the complex analysis of the fractal theory and technology; in the game, graphical In the development of games and graphics software, a large number of coordinate transformations and matrix operations in linear algebra have been invoked; wavelet theory and algebraic coding theory have been introduced in data compression and reduction, and information security.
(B) software programming mindset
Software programming mindset determines a person's level of programming, in the programming process, mathematical thinking is clear, the program written out is refreshing. Combined with the teaching, through the investigation and analysis, learned that more than 85% of the students, they are programming according to the syntax and write the program, completely out of the software programming thinking, this mindset makes them write a program is quite bad, there is no little logic.
The reason for this software programming mindset is that they usually do not pay enough attention to the development of mathematical thinking. Many students of computer science think: learn high math, what is the use of this? Learn linear algebra, what is the use? Learning discrete math, what's the use? So they seldom go to these classes, sloppy, bored in the dormitory all day, play games, install software, look at the C language. Only know probability problems and matrix knowledge in other courses play a complementary role, learning is not very deep. But when they see <>, feel that the content of which they feel quite difficult to understand, then they vaguely feel the role of mathematical thinking. Prior to this, they not only deserted the university of higher mathematics, even the junior high school of elementary mathematics has also forgotten a lot, when they carry out high abstract thinking, really feel that their thinking has been very slow. The reason why computer students find the course "Data Structures" difficult is because their mathematical thinking is not enough exercise! In fact, there are a lot of such examples in life: for a fresh graduate, compiling application software for college students, in programming to "linear algebra" matrix, I am afraid that they will think, in the university to learn linear algebra is good; when in the program to dynamic chain tables, trees, I am afraid that they will also want to think "in the university to spend a little time to learn the "data structure", how meaningful it will be! "; when learning data structures, I'm afraid I will also think "why do you have to skip so many classes when learning Discrete Mathematics, or else it will be very easy to learn discrete". So mathematical thinking is not enough, there will be a lot of misgivings in the software programming, show a little shrinkage, and write the program is not sound enough, lack of logic.
(C) the integration of software programming and mathematical thinking
Many professionals feel that the math and software programming ability is like Tai Chi and boxing, software programming ability is very strong is like a very fast and heavy fist, can directly give a person a heavy blow; math is very good, then it is like a master of Tai Chi, on the surface does not have a lot of power, but the inner energy is much stronger, but a good boxer is the younger the better, the better. But a good boxer is the younger the better, while a Tai Chi master is the more senior the more powerful. That's why math is a must-have for masters, and although many students don't find it useful, they can appreciate its power when they reach a certain level.
The relationship between travel mode selection and math
Please describe the problem in detail
Where is the travel mode selection in AutoNaviAutoNavi is a driving navigation, which does not support travel mode selection.
The one that can select the travel mode is the Gaode map. After determining the target point, select "go here" (do not directly select the navigation), the screen will appear on the top of the symbols of various modes of travel, such as driving, public transport, walking, and so on. You can choose.
1200 kilometers to choose what mode of travelAt present
Personal feeling from the economy and convenient
The train or high-speed rail is better, if there is a discounted air ticket is also a good choice
I hope to help you
Choose to travel at nightAt night, when the weather is good and the weather is warm you can choose to go out with your friends to bike the lake. friends to go out and bike around the lake.
How far is the distance from Lianyungang to Nanjing? How far is it from Lianyungang to Nanjing?I travel between Nanjing and Lianyungang all year round, the actual distance from Xinpu to Nanjing city to 370 kilometers, every day to Nanjing coach is very much, almost one or two hours to have a trip, the station 100, sixty or seventy dollars outside the station. Take the highway about three and a half hours, take the national highway slowest is more than four hours, this is the average time. By train 76 or so, seven hours to, more slowly 。。。。 There is a student card in the summer and winter half ticket 。。。。。。。
The relationship between the Rubik's Cube and math
three-dimensional geometry Architecture Structural Problems
What is a good travel choice for the elderly traveling?Hello!
Cruise travel is better for seniors to travel. Because cruise tourism is a kind of slow life travel mode, food, accommodation and transportation are on the cruise ship, you can save the hard work of traveling, during your rest or sleep, has arrived at the next destination from a port.
I hope this helps you, thank you for your question! For more travel information, welcome to visit the Tongcheng Cruise Travel Channel
How should I choose to travel in Tibet?Lhasa is the largest highway hub in Tibet, with highways running in all directions, from Linzhi and Chamdo in the east, to Shigatse, Gyantse and Zhangmu in the west, and Golmud in the north. Qinghai-Tibet highway is the main artery of Tibet highway, is the world's highest altitude, the longest line of asphalt highway, but also with the shortest distance to Tibet, the best road conditions and the safest highway. The Qinghai-Tibet Highway is a route operated by passenger buses, and ordinary family cars can also go on the road. Along the way, there are grasslands, salt lakes, Gobi, high mountains, deserts and so on. Kunlun Mountain Pass, Wudaoliang, Tanggula Pass and other sections of the road are at a higher altitude and the climate is cold and rainy and snowy, so you should have enough cold-proof clothing and carry with you medicines for preventing and treating plateau reaction, such as Oxygen Oxygen. The north line of the Sichuan-Tibet Highway is the first highway opened between Tibet and the mainland, passing through the area is mostly pastoral, higher altitude, sparsely populated, and the scenery is primitive and magnificent. The southern route passes through relatively densely populated areas with high mountains and valleys along the route, making the scenery even more beautiful. Along the Sichuan-Tibet Highway into Tibet, need to turn over high mountains, across the rapids, the road is difficult and dangerous, the best time of the year is May and mid-August to October. The best time of the year is May and mid-August to October. The Sichuan-Tibet Highway is often closed due to mudslides and landslides, which are most frequent in Bangda, Baju and Tongmai. Yunnan-Tibet highway is the lowest altitude of the four highways into Tibet, the highest altitude of the whole only 4300 meters of Hongla snow mountain pass. The best driving season is from August to October every year, in which the section from the middle to Mangkang often has landslides and even mudslides during the rainy season, so you should inquire about the road condition in advance. The Yunnan-Tibet highway has no direct buses, and you need to transfer several times along the way, and there are no buses from Deqin to Mangkang, so you can only go by train.
Remember to adopt ah
Home and the relationship between mathThis question is a bit general, is asking and numbers or the relationship with mathematics?
This question is somewhat general, asking whether it is related to numbers or to mathematics., co-ordination and optimization are all things that belong to mathematics, and there used to be an article in secondary school about the scheduling problem of Hua Luogeng's boiling water, which are all related to mathematics! Simple level, all and numbers are related to mathematics, detailed, some problem-solving methods are also related to mathematics! For example, in real life, we often mention the word "golden section", why are girls willing to wear high heels? The reason is that the human upper body and lower body ratio is often less than 0.618, if you add the height of high heels, just to reach, her body type looks particularly harmonious, the visual impact is particularly large. If one day you and a friend go to Pizza Hut to eat, point a 12-inch pizza, the results of the waiter said no, said to give you a 9-inch plus a 6-inch to offset the exchange, your friend felt okay, immediately agreed, then you? After estimation, actually eat a big loss (a 9-inch pizza plus a 6-inch pizza, the total **** is only = 63.62 + 28.274 = 91.894 square inches! Only about 92 square inches! (Whereas a 12" pizza has 113 square inches!) . Conclusion: math is really important! In fact, there are a lot of things around us that can be solved with math, but it's just that a lot of people don't look at it with a mathematical eye.
How to choose the way to travel during the Spring FestivalDuring the Spring Festival you can sign up for a free trip from Beijing to Sanya from CITS online, or Shenzhou CITS head office, which is more suitable for you.
They provide airfare, hotel, and the rest you are free to arrange.
I found a trip to Sanya for you. I've found a trip to Sanya for you, see if it's what you're looking for.
The reference price: 2480 yuan. This is the price of the group, the free trip is a little more expensive.
Day 1 Beijing airport flight to Sanya
Beijing airport flight to Sanya (reference take-off time 09:50-10:20), check in the hotel;
Included tickets: listed in the itinerary
Unincluded tickets: no
Accommodation: four-star
Transportation: air
The first day of the trip to Sanya, the first day of the trip to Sanya, the first day of the trip to Sanya. p> Meals: Breakfast is not included Lunch is not included Dinner is not included
Shopping: None
Day 2 Wanquan River
car to see the Red Scouts statue, car tour of the mother of Hainan called Wanquan River, take a bamboo raft rafting on the Wanquan River, see the beautiful rainforest on both sides of the scenery;
Tickets included: listed in the itinerary
tickets are not included: none
Accommodation: four stars
Transportation: tourist bus
Meals: Breakfast included, lunch included, dinner included
Shopping: none
Day 3 Visit Boao Forum for Asia and scenic spots
Take a car to Boao, the place where dignitaries, business tycoons, and big media figures gather once a year. -Boao, visit the Boao Forum for Asia and scenic spots; at their own expense boat trip Boao Water City, enjoy the Wanquan River, Jiuqu River estuary washed out by the beach like a jade belt - Jade Belt Beach, visit Xinglong Southern Medicine Botanical Garden; coffee; sea and sky wonders of the Great Small Cave (self-care);
Contained tickets: listed in the itineraryNot included tickets: Jade Belt Beach Daxiaodongtian
Accommodation: four-star
Transportation: coach
Meals: Breakfast Contained Lunch Contained Dinner
Purchase: No
4th day tour of the national 4A scenic area of the End of the World, "the South Heavenly Pillars " tour of Yalong Bay Center Square
car to see the "sea forest" known as the mangrove forest, the appearance of the crown of beauty, large (small) East China Sea tourist resort, the car to visit the couple road "Coconut Dream Promenade", visit the national 4A-level scenic area, "the end of the world," "a pillar of the south sky". Scenic Area Tianya Haijiao, "South Heavenly Pillar", etc., is the ideal place for lovers to witness their own faithful love; tour Li Village Miao Village - watch the Li and Miao song and dance performances; Hainan Tea Culture; the world's first bay beach ---- Yalong Bay beach walk; visit the Yalong Bay Center Square, visit the Shell Museum, Totem Pole;
Included tickets: listed in the itinerary
Unincluded tickets: none
Accommodation: five-star
Transportation: coach
Meals: Breakfast Included Lunch Included Dinner Included
Shopping: none
Day 5 Wuzhizhou Island Oriental Buddhist Cultural Park
Tour the East of Maldives Wuzhizhou Island, the first pagoda on the sea border of 10,000 miles - Oriental Buddhist Cultural Park (including tickets, vegetarian, visit Asia's largest Thousand-handed Goddess of Mercy statue), Crystal World, take the flight back to Beijing (reference departure time 14:00-15:15) to end the pleasant journey!
Included tickets: listed in the itinerary
Unincluded tickets: None
Accommodation: None
Transportation: Airplane
Meals: Breakfast included, Lunch included, Dinner not included
Shopping: None