One-dimensional linear equation
One-dimensional linear equation refers to an equation with only one unknown number, the highest order of which is 1, and both sides are algebraic expressions. A linear equation with one variable has only one root. One-dimensional linear equation can solve most engineering problems, travel problems, distribution problems, profit and loss problem, integral table problems, telephone billing problems and digital problems.
One-dimensional linear equations were first seen in ancient Egypt around 1600 BC. Around 820 AD, the mathematician Hua La Zi Mi put forward the idea of "merging items" and "shifting items" in his book "Eliminating Yuan and Reducing Yuan". In16th century, after the mathematician David founded symbolic algebra, he put forward the propositions of shifting terms and division of the same equation. 1859, mathematician Li officially translated this kind of equations into linear equations.
Second, the basic application
One-dimensional linear equations can usually be used to do mathematical application problems, and can also be applied to the calculation of physical chemistry. For example, in production and life, by knowing a certain liquid density and pressure, the p=ρgh formula is used to solve the equation, and then the liquid depth is calculated.
For example, to calculate how high the atmospheric pressure is, it is known that the atmospheric pressure is about 100000 Pascal, the density of water is about 1000 kg per cubic meter, and g is about 10 m per square second (10 cattle per kg), then the water column height can be set to h m, and the square Cheng Kewei/kloc.
Third, the significance of value.
One-dimensional linear equation can solve most engineering problems, travel problems, distribution problems, profit and loss problem, integral table problems, telephone billing problems and digital problems. If only arithmetic is used, some problems may be extremely complicated and difficult to understand.
The establishment of linear equation model will be able to find the equivalence relationship from practical problems and abstract it into a mathematical problem that can be solved by linear equations. For example, it may not be possible to start with algebraic expressions for the Diophantine problem, but finding "age" as an equivalent relationship through a linear equation will simplify the problem.
One-dimensional linear equations can also play a role in proving mathematical theorems, such as proving that "the period of 0.9 is equal to 1" within the scope of elementary mathematics. By verifying the rationality of the solution of linear equation, the purpose of explaining and solving life problems is achieved, and some problems in production and life are solved to some extent.