Kramdown comes with optional support for LaTeX to PNG rendering via MathJax within math blocks. MathJax requires you to include JavaScript or CSS to render the LaTeX, e.g.

<script src="https://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS-MML_HTMLorMML" type="text/javascript"></script>

In order to add latex support, add above JavaScript into the post.html in _layouts folder.

This is a in line equation $y = ax$ generate with

$$y = ax$$

This is a block equation:

generate with:

$$
\begin{equation}
y = ax
\end{equation}
$$

• Chapter 12: Fundamental Data Types
  • 12.1: Numbers in General
  • 12.2: Integers
  • 12.3: Floating-Point Numbers
  • 12.4: Characters and Strings
  • 12.6: Enumerated Types
  • 12.7: Named Constant
  • 12.8: Arrays
  • 12.9: Creating Your Own Types

Chapter 12: Fundamental Data Types

12.1: Numbers in General

• Replace “magic numbers” with named constant can make your code more readable and changes reliable and easy
• Make type conversion obvious and avoid mixed-type comparisons

12.2: Integers

• Check for integer division and reorder the expression to put divisions the end
• Check for integer overflow especially intermediate resutls overflow

12.3: Floating-Point Numbers

• Avoid additions and subtractions on numbers that have greatly different magnitudes
• Sort the numbers before add a sequence of numbers that contains huge differences and add them starting with the smallest values
• Replace equality comparisons with a accuracy check
• Change from floating-point to integer variables by multipling constant times to deal with rounding errors

12.4: Characters and Strings

• Use Unicode if need multiple language support
• To avoid endless strings in C, initialize strings to null

12.6: Enumerated Types

• Enumerated types are generally used when you know all the possible values of a variable and want to express them in English words
• Enumerated types can increase readability, easier modifications
• Enumerated types can be a richer alternative to boolean variables

12.7: Named Constant

• Named constant is a way of “parameterizing” the program

12.8: Arrays

• Arrays are the simplest and most common type of structured data
• Make sure all array indexed are within the bounds of the array
• Consider using container instead of arrays

12.9: Creating Your Own Types

• Programmer-defined types can make modifications easier, avoid excessive information distribution, and increase reliability
• Create types with functionally orientated names and avoid creating type names that refer to predefined types like BigInteger

Today I tried to install a chrome extension octotree for github website. However, I keep get the error as following.

It seems this is due to some network problem and there is no good solution for this. So I decide to try installing extensions manually instead of install it from the chrome app store.

This is the process:

1. Search your_extension.crx in google and download it to your local disk;
2. Go to the setting –> extensions
3. Drag the .crx file into the extension page
4. Done.

Recently I plan to study the algorithm systematically. I have studied, used and developed several algorithms, but I think I still lack very systematical knowledge of algorithm analysis and design. According to Zhihu’s recommendation, I will fast go through the book: Robert Sedgewick, Algorithm, 4th edition and try to get a sense of the general principle of algorithm analysis and design.

I will write some notes here to record my study which may include the principle, illustration and implementation of of certain algorithms.

Sorting is one of the most important and fundamental problems in algorithm design and analysis.

Reference:

Asif, M. Salman, et al. “Flatcam: Thin, bare-sensor cameras using coded aperture and computation.” arXiv preprint arXiv:1509.00116 (2015).

Review:

A coded aperture based camera model is proposed by designing the aperture matrix in a row/column separable manner. The aperture matrix can be regarded as a outer product between two vectors with 1 and 0 only. The image formation process can be modeled as (1) $Y = AXB^T$, where X, Y, A, B are all $N \times N$ matrices. In the conventional image model: (2) $Y = CX$, where X and Y are both $N^2 \times 1$ vector, and C is $N^2 \times N^2$ matrix. Model (2) is much easier to solve by least square with L2_norm regularization compared with model (1).

The author put the aperture right in front of the CMOS chip. The space is 0.5 mm due to the glass. This can greatly reduce the thickness of the camera which might find its use in mobile phone camera.