visible thinking in mathematics

As a fan of online literature, I don't judge the value of education and training institutions. However, according to the information I know, Ape Tutor and Learning and Thinking are both well-known education and training institutions. They have a high reputation in mathematics education. Ape Tutoring was an online learning platform that provided courses in a variety of subjects, including mathematics. Its curriculum covers a wide range of basic courses and high-end courses to meet the learning needs of different students. In addition, Ape Tutor also launched a series of customized learning programs to help students learn mathematics better. Learning and Thinking was an education and training institution that mainly provided offline training. It provided a variety of courses, including mathematics. Its curriculum focused on practical application and emphasized the cultivation of students 'mathematical thinking. Learning and Thinking also introduced a series of innovative teaching methods such as interaction teaching and inquiry teaching, which were deeply loved by parents and students. Choosing Ape Tutoring or Learning and Thinking Math should be decided based on one's learning needs and level. If you need more learning resources, you can consider choosing ape tutoring; if you need more practical opportunities and inquiry thinking, you can consider learning and thinking.

Mathematics was an abstract form of thinking that used symbols and formulas to describe and study concepts such as quantity, structure, change, and space. Mathematics could be regarded as a rigorous science. Its derivation and proof required rigorous logic and precise calculations. A classic mathematical example was the Eulerian formula:e^x = cosx + sin(x). This formula was widely praised in the mathematics community because it revealed the existence of the power index e of natural numbers and converted angles and radians into a simpler representation. The proof of this formula required strict logic and precise calculations, and it had to follow strict mathematical rules and axioms. The rigor and abstractness of mathematics made it a discipline widely used in science, engineering, economics, finance, and other fields. Mathematics had a wide range of applications, including physics, chemistry, biology, economics, finance, computer science, and so on. The rigorous thinking and methods of mathematics could allow people to better understand and solve various complex problems and promote the development of science and technology.

😋I'll recommend a few novels about mathematics. I hope you'll like them: "The Brainiac's Play in the Ming Dynasty"-A mathematics doctor traveled to the Ming Dynasty. In order to change this era, he decided to use his knowledge to promote the development of history;"The Traveler of the World of Swirling"-This is a novel about the infinite universe. The main character is a young mathematical genius who travels through the world of Swirling; This book was about a five-year-old brat who transmigrated to become Gaozong Li Zhi. With his mathematical knowledge, he helped the Tang Empire develop and become stronger. I hope you like the above recommendations and enjoy learning mathematics. Muah ~

It depends on the platform or medium where the stories are published. Some might be visible indefinitely, while others could disappear after a certain period.

It depends on various factors. Some stories might remain visible for a short period, like a few days or weeks, while others could be accessible for months or even years, depending on the platform and its policies.

A free proposition in mathematics usually referred to a question with the nature of giving points. The answer was often very basic or common, but it was not easy to find the correct answer. If he did this question wrong, he might fail the entire exam. Therefore, before the math exam, one must carefully examine the questions, grasp the key points and difficulties of the questions, and not underestimate any of the questions.

Do you have any math questions that you need my help with?

Mathematics was a discipline that studied quantity, structure, change, and space. It was an important foundation for natural sciences, engineering, and social sciences. The basic concepts and theories in mathematics are highly abstract and logical. Their derivation and proof require rigorous reasoning and calculation. The branches of mathematics were extremely rich, including algebra, geometry, trigonography, calculus, probability statistics, number theory, topography, and so on. Each branch had its own unique research objects and methods. The application of mathematics was also very extensive, including physics, engineering, computer science, economics, biology, and other fields. The application of mathematics in many practical problems had become an indispensable tool. Mathematics is a challenging and fascinating subject. If you are interested in mathematics, you can learn and understand the knowledge and applications of mathematics through self-study, attending training classes, or referring to relevant books and materials.

I'm not sure who the specific author of the 'Darkness Visible' novel is without more context. There could be multiple novels with this title.

The 'Darkness Visible' novel is likely to be about various themes related to the concept of 'darkness'. It might explore the psychological darkness within characters, such as their hidden fears, traumas, or moral ambiguities. It could also be set in a dark or dystopian world where the characters struggle against oppressive forces or difficult circumstances.