1、Couple of differential **equations**.

2、Some of you may already have solved differential **equations**.

3、To some extent, his work pays dividends in differential **equations**.

4、So I want to understand the **equations** and solve them.

5、For the **equations** course, I was given a set of unpublished lectures that emphasized existence proofs and uniqueness of solutions to differential **equations**.

6、Mathematical **equations**, from simple algebraic ones to the more challenging differential **equations**, have allowed us to summarize an enormous amount of physical phenomena into a simple format.

7、In the analysis of very complex systems, the governing **equations** for the system components form a large set of simultaneous **equations**.

8、This can take the form of prototypes, mathematical **equations**, or interaction diagrams.

9、The **equations** are all very fundamental and you have to make them part of your world.

10、This may sound absurd to people who wince at Numbers and **equations**.

11、He assured us that, no matter how hard we studied, all of these chemical **equations** would vanish from our memory.

12、Mathematics: Students must take a minimum of seven mathematics courses, including calculus, probability, statistics, discrete mathematics, and differential **equations**.

13、One approach would be, following Newton, to write down the **equations** for the evolution of the biosphere and solve them.

14、Do you position yourself to catch a ball by solving differential **equations** in your head, on the fly?

15、”Now the theoreticians are going to redo their **equations**, and more experiments will be done to confirm or overturn it,” said Indelicato.

16、It has a vessel function solution and I would refer you to the text on solving these **equations** for this particular geometry to develop this vessel function.

17、Whereas Newton spent the majority of his life researching alchemy, or Christian doctrine, Dirac was obsessed with his **equations**, despising subjects such as philosophy.

18、Only models, from cosmological **equations** to theories of human behavior, seemed to be able to consistently, if imperfectly, explain the world around us.

19、As the need expanded to include more characters and symbols, such as those found in French, Spanish, and mathematical **equations**, an extension to ASCII was included.

20、”Branch of algebra concerned with methods of solving systems of linear **equations**; more generally, the mathematics of linear transformations and vector spaces. “Linear”refers to the form of the **equations** involved-in two dimensions, ax + by = c. Geometrically, this represents a line.”

21、And then the integral equation is transformed into a set of linear algebraic **equations** by the method of moments. The approximate solution to the equivalent magnetic current can be obtained by solving this matrix equation.

22、But now, when used for studying the ladle injection system, these mathematical **equations** are based on a lot of assumption, which lead to some deviation from the exact results.

23、The **equations** of caustic curve and its initial curve for a crack illuminated by an oblique incident light beam in reflection arrangement were deduced using the space analytic geometry method.

24、In this paper, a new Mattrix is structured to get a natural number sum, a good methool of onr-place Polynomial Summation and the Bernoullis number, to deduce the relationship of Yang Hui’s Triangle, which can be used to quickly solute a kind of system os linear **equations** solution.

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