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I love math

Friday, November 21, 2008. I don't understand the sentence "The data point (5,10) is 0.45 above the line y=mx, and the data point (8,15) is 0.28 below the line. These residual errors give the coordinates of the residual vector r=(0.45,-0.28), but r itself is not in this figure." Why r itself is not in the figure? Why these two spots are up and below not to the left and right of the line? Tuesday, November 18, 2008. I found the method of doing approximation would be very useful in our daily lives because ...

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I love math | jingjiao.blogspot.com Reviews

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Friday, November 21, 2008. I don't understand the sentence The data point (5,10) is 0.45 above the line y=mx, and the data point (8,15) is 0.28 below the line. These residual errors give the coordinates of the residual vector r=(0.45,-0.28), but r itself is not in this figure. Why r itself is not in the figure? Why these two spots are up and below not to the left and right of the line? Tuesday, November 18, 2008. I found the method of doing approximation would be very useful in our daily lives because ...

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I love math | jingjiao.blogspot.com Reviews

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Friday, November 21, 2008. I don't understand the sentence "The data point (5,10) is 0.45 above the line y=mx, and the data point (8,15) is 0.28 below the line. These residual errors give the coordinates of the residual vector r=(0.45,-0.28), but r itself is not in this figure." Why r itself is not in the figure? Why these two spots are up and below not to the left and right of the line? Tuesday, November 18, 2008. I found the method of doing approximation would be very useful in our daily lives because ...

INTERNAL PAGES

jingjiao.blogspot.com

1

I love math: 10.6

http://jingjiao.blogspot.com/2008/11/106.html

Wednesday, November 5, 2008. We can use a differential equation to model the growth of two interacting populations, a situation which requires a system of two differential equations. The plane which shows the combinition of the population of two species is called The Phase Plane and the path of the point is called the phase trjectory. I don't really understand why the number of encounters is likely to be proportional to the product of the opulations. Why is the product of these two species?

2

I love math: 10.1&10.2

http://jingjiao.blogspot.com/2008/10/101.html

Wednesday, October 29, 2008. When we do not know a key function, but we know the information about its rate of change, or its derivative, we may still be able to write a new type of equation called a differential equation, from which we can get information about the original function. I do not really understand the meaning of a differential function. What is the independent and dependent variable of a differential function? What are the range and domain of the function? Subscribe to: Post Comments (Atom).

3

I love math: LA 1.3 2.0-2.3 3.0-3.3

http://jingjiao.blogspot.com/2008/11/la-13-20-23-30-33.html

Saturday, November 15, 2008. LA 13 2.0-2.3 3.0-3.3. Matrices are lists of vectors, one for each column. A linear combiation of the n columns of an m*n matrix A is indicated by multiplication of A by a vector of n coefficients. The span of a list of vectors is the set of all linear combinations that can be made with those vectors. The span of vector u and v is the set of all linear combinations xu yv. The span consists of all vectors in the plane throuh the origin that contains both u and v.

4

I love math: October 2008

http://jingjiao.blogspot.com/2008_10_01_archive.html

Wednesday, October 29, 2008. When we do not know a key function, but we know the information about its rate of change, or its derivative, we may still be able to write a new type of equation called a differential equation, from which we can get information about the original function. I do not really understand the meaning of a differential function. What is the independent and dependent variable of a differential function? What are the range and domain of the function? Monday, October 27, 2008. Like in ...

5

I love math: 10.4&10.5

http://jingjiao.blogspot.com/2008/11/104.html

Saturday, November 1, 2008. The general solution to the differential equation dy/dt=ky is y=Ce kt for any constant C. This is exponential growth for k greater than zero and exponential decay for k less than zero. The constant C is the value of y when t is zero. When we are asked to decide if the solution is a stable solution or an unstable one, how can i decide if i dont really draw the solution curve? Do we have any other method to decide the stableness? Learning certain methods to solve some derivative...

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I love math

Friday, November 21, 2008. I don't understand the sentence "The data point (5,10) is 0.45 above the line y=mx, and the data point (8,15) is 0.28 below the line. These residual errors give the coordinates of the residual vector r=(0.45,-0.28), but r itself is not in this figure." Why r itself is not in the figure? Why these two spots are up and below not to the left and right of the line? Tuesday, November 18, 2008. I found the method of doing approximation would be very useful in our daily lives because ...

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