How to use LaTex to express the following formula? Please provide the executable code including the letters inside.

How to express the following formula using LaTex? Please provide the executable code including the letters inside

\documentclass{article}

\usepackage{mathrsfs}

\usepackage{extarrows}

\begin{document}

In order to help players successfully pass the level, let’s take a look at the specific puzzle-solving methods. In this level, we need to follow a series of clues and prompts. First, we need to note that the equation "\[\mathscr{A}(p_0^*)\xlongrightarrow{\;L\;}p_1^*\xlongrightarrow{\;L,\,\mathscr{A}\;}p_2 The arrows in ^*" represent a series of transitions and operations. We need to perform corresponding operations according to the direction and requirements of the arrow. For example, according to the mark "L" on the arrow, we need to perform an L operation. Next, we need to follow the symbols behind the arrow "\(\mathscr

\xlongrightarrow{\;L,\,\mathscr{A},\,p_1^*\;}\cdots\xlongrightarrow{\;L,\,\mathscr{A},\,p_1^*,\ ,\cdots,\,p_{n-1}^*\;}

p_n^*\]

\end{document}

How to align latex formulas to the left

Left-aligned and left-aligned formulas are different concepts.

The picture below is left-aligned, that is, the left side of the formula is aligned with the leftmost side of the document.

The picture below is left aligned.

By default, formulas in LaTeX are centered. However, I personally feel that this method is not beautiful enough, because the length of the formula is usually different, which makes it look messy. I personally prefer to align the formula to the left, which makes it neater and more beautiful. Fortunately, LaTeX provides some methods to achieve left alignment of formulas, which can be achieved by using the align environment in the amsmath macro package and adding the parameter fleqn.

The latex code for the specific implementation of left alignment:

\begin{flalign}

In order to help players who have not passed the level yet, let us learn about the specific puzzle solving methods. In the game, a key step is to use the vector $\vec{R_1}=[na\vec{e_x},ma\vec{e_y},la\vec{e_z}]$ to solve the puzzle. The three components of this vector represent the movement distance on the $x$ axis, $y$ axis and $z$ axis respectively. By adjusting the values ​​​​of these components, we can play in the game

onumber\\

Let’s take a look at the specific method of solving the puzzle. In this puzzle, we can solve it using vector representation. Specifically, we can use the following formula to represent the vector $\vec{R_2}$: $\vec{R_2}=[(n 0.5)a\vec{e_x},(m 0.5)a\vec{e_y},la\vec{e_z}]$ Among them, $n$ and $m$ represent integer values ​​respectively, $a$ is a constant, $\vec{e_x}$, $\vec{e_y}$ and $\vec{e_z}$ are unit vectors. By adjusting $n$, $m$ and

onumber \\

In order to explain this formula, let us take a closer look at the meaning of each variable. In this formula, $\vec{R_3}$ is a vector, which consists of three components, namely $(n 0.5)a\vec{e_x}$, $ma\vec{e_y}$ and $(l 0.5)a\vec{e_z}$. Here $n$, $m$ and $l$ are integers and $a$ is a constant. $\vec{e_x}$, $\vec{e_y}$ and $\vec{e_z}$ are the same as $x$, $y$ and $z

respectively

onumber \\

Let’s take a look at the specific puzzle-solving methods. In this puzzle, we need to find a vector R4 whose components consist of naex, (m 0.5)aey and (l 0.5)aez.

onumber

\end{flalign}

In order to help players who have not passed the level yet, let us learn about the specific puzzle solving methods. Please refer to the above example, you only need to adjust the formulas in rows 2 to 5 according to your own situation. Hope these tips are helpful!

In order to help players who have not passed the level yet, let us learn about the specific puzzle solving methods. There are some important tips to remember while solving the puzzle. First, if you need to enter a formula, remember to surround it with "&your equation&". In addition, the "\\" symbol can be used for line breaks. These tips will help you solve puzzles better.

onumber means not to display the formula number.

The latex code for the specific implementation of left alignment:

\begin{eqnarray}

Let’s take a look at the specific puzzle-solving methods. For players who have not passed the level yet, here are some operating tips, I hope they can help you:

Let’s learn how to solve the puzzle together. The specific operation methods are as follows: 1. First, we need to observe the hints and clues in the puzzle. Carefully read text, observe patterns, or parse information such as audio to find key information. 2. Next, we need to think and analyze the meaning and relevance of these clues. Try to combine different clues or find logical relationships between them. 3. During the process of solving the puzzle, we may need to

In order to help players solve the puzzle, let us learn about the specific puzzle-solving methods. Along the way, we need to notice certain clues and hints to guide us to the right answer. By careful observation and reflection, we can solve each puzzle and move on. Remember, patience and logical thinking are key in puzzle games!

In order to help players who have not passed the level yet, let us learn about the specific puzzle solving methods. The key formulas are: a = R_{ik}^2 - R_{jk}^2, b = (R_{ij}^4 - a^2)^2. By applying these formulas, you will be able to better solve puzzles and make progress.

Among them, the formula line starts with &, and the last \\ represents a new line.

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