What Rolle's theorem cannot prove! Lagrange can't take derivatives! Because the curve of memory is convex and the curve of missing is concave, the point of forgetting everyone does not exist. To sum up, happiness is convergent, waiting is unique, and my blessing to everyone is always monotonous and increasing. I wish you all infinite troubles and good luck. The ideal must be L'H?pital, and Lagrange shines every day. Life is not monotonous and the road is not bumpy. I wish my brothers and sisters good luck in the Year of the Tiger and long life!
In the face of monthly salary, regardless of real number, imaginary number, constant, variable, function, derivative and remainder, as long as life counts every day; Open the textbook, no matter the center of gravity, center of gravity, external heart, inner heart, lateral heart, or center of mass, as long as you work, everything goes well! Smooth sailing, two dragons take off, three sheep open Thailand, four seasons are safe, five blessings, 66 Dashun, seven stars shine high, money comes from all directions, 99 people are United, perfect, Pepsi is prosperous, everything is auspicious and all the best!
Mathematical characteristics:
Mathematical language is also difficult for beginners. How to make these words have more accurate meanings than everyday language also puzzles beginners. For example, the words "open" and "domain" have special meanings in mathematics. Mathematical terms also include proper nouns such as embryo and integrability. But these special symbols and terms are used for a reason: mathematics needs accuracy more than everyday language. Mathematicians call this requirement for linguistic and logical accuracy strict.
Stiffness is a very important and basic part of mathematical proof. Mathematicians hope that their reasoning and axioms of the definite reason system can be inferred. This is to avoid drawing wrong "theorems" or "proofs" based on unreliable intuition, and there have been many examples of this situation in history. The rigor of expectation in mathematics changes with time: the Greeks expected careful argumentation, but in Newton's time, the methods used were not so strict.
Newton's definition of solving problems was not properly handled by mathematicians through rigorous analysis and formal proof until19th century. Mathematicians have been arguing about the rigor of computer-aided proof. When a large number of calculations are difficult to verify, the proof is almost ineffective and rigorous.