1. There are 44 giant screen cinemas in Shanghai Science and Technology Museum and 632 giant screen cinemas in China Science and Technology Museum. How many seats are there in the Giant Screen Cinema of China Science and Technology Museum than in Shanghai Science and Technology Museum?
2. My mother took Xiaoming to see her grandmother by coach, and she had to walk 308 kilometers on the way. They started at 8 o'clock in the morning, and the bus traveled at an average speed of 80 kilometers per hour. Can you arrive at noon 12?
3. From Beijing to Shenyang, the plane ticket is 700 yuan, and the train ticket is 2 18 yuan. How much is it cheaper to take a train than to fly?
Use a 2-meter-long piece of wood and saw it into four legs with the same length. How high is this stool?
Mathematical structure
Many mathematical objects, such as numbers, functions, geometry, etc., reflect the internal structure of continuous operation or the relationships defined therein. Mathematics studies the properties of these structures, for example, number theory studies how integers are represented under arithmetic operations.
In addition, things with similar properties often occur in different structures, which makes it possible for a class of structures to describe their state through further abstraction and then axioms. What needs to be studied is to find out the structures that satisfy these axioms among all structures.
Therefore, we can learn abstract systems such as groups, rings and domains. These studies (structures defined by algebraic operations) can form the field of abstract algebra.
Because abstract algebra has great universality, it can often be applied to some seemingly unrelated problems. For example, some problems of drawing rulers and rulers in ancient times were finally solved by Galois theory, which involved the theory of presence and group theory.
Another example of algebraic theory is linear algebra, which makes a general study of vector spaces with quantitative and directional elements. These phenomena show that geometry and algebra, which were originally considered irrelevant, actually have a strong correlation. Combinatorial mathematics studies the method of enumerating several objects satisfying a given structure.