The accounting equation is the theoretical basis for preparing the balance sheetA balance sheet is a statement that reflects the financial situation of a business at a specific date. In the accounting equation, the financial status equation of assets = debt + owner's equity (also known as the basic accounting equation or static accounting equation) was the theoretical basis for preparing the balance sheet. This equation reflected the balance between assets, debts, and owner's equity at a specific point in time, and the balance sheet was based on this relationship to show the assets, debts, and owner's equity of the enterprise.
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Converting the general equation into a parametrized equationIn web novels, it was common to encounter situations where a general equation needed to be converted into a parametrized equation. This transformation not only made it easier for readers to understand, but also increased the interest and interaction of the article. Generally speaking, the method of transforming a general equation into a parametrized equation mainly depended on the specific form of the equation. The following are some common situations and conversion methods:
###Straight line equation
** General equation **:$Ax + By + C = 0$
** Param equation **: You can choose a param $t$and then represent the functions of $x$and $y$as $t$. For example, if the slope of a straight line exists, you can set $x = x_0 + t\cos\beta $,$y = y_0 + t\sin\beta $, where $(x_0, y_0)$is a point on the straight line, and $\beta $is the tilt angle of the straight line.
###The equation of a circle
** General equation **:$(x-a)^2 + (y-b)^2 = r ^2 $
** The equation of parameters **:$x = a + r <cost $>,$y = b + r <sin t$>, where $t$is the parameters representing the angle.
###Elliptic equation
** General equation **:$/frac{x ^2}{a ^2} +/frac{y ^2}{b ^2} = 1$
** The equation of parameters **:$x = a\cost $,$y = b\sin t$, where $t$is the parameters.
###Parabola equation
** General equation **:$y ^2 = 4px$(Take the right opening as an example)
** Paramenter equation **: You can choose $t$as the argument, let $y = 2pt$, then $x = t ^2 $.
###Hyperbola equation
** General equation **:$/frac{x ^2}{a ^2} -/frac{y ^2}{b ^2} = 1$
[** Parameric equation **: It can be expressed using a hyperbolic function, such as $x = a\cosh t$,$y = b\sinh t$.]
###Illustration
Suppose a character in a web novel needs to move along a specific path, which can be described by the general equation $y = x ^2 $. In order to increase the dynamic of the story, the author might choose to transform it into a mathematical equation.
** General equation **:$y = x ^2 $
** Paramenter equation **: You can choose $t$as the parameters, let $x = t$, then $y = t ^2 $. In this way, the position of the character could be described according to the change of $t$.
In general, to convert a general equation into a parametrized equation, one needed to choose the appropriate parameters and representation method according to the specific form of the equation. This transformation not only enhanced the visual effect of the online novel, but also made the readers more invested in the development of the story.
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An example of solving a differential equation using the eulerian equationThe Eulerian equation was a special differential equation, and its solution had a certain uniqueness. We can get some information about the examples of solving differential equations with the Eulerian equation. For example, in document [1], there was an example of the Reynolds equation: x-2y =0. By solving this new differential equation, the solution of y=C1 could be obtained, where C1 was a constant. Then, by replacing the solution of y=C1 into the original differential equation, the analytical solution could be obtained: y=C1+ C2x, where C2 was also a constant that could be obtained from C1. In addition, in document [4], it was mentioned that the solution of the Reynolds equation included transforming the differential equation into a discretized difference equation and using the Reynolds method to approach the solution of the differential equation. However, the detailed steps and solutions for solving the differential equations were not found in the search results provided. Therefore, it was impossible to provide an accurate and detailed answer to the differential equation.
Formula of cubic equationThere were many formulas for cubic equations, and the most commonly used one was Cartan's formula. The Cartan formula was used to solve the root of a cubic equation. According to the Cartan formula, the root of a cubic equation could be expressed by some intermediate variables. The specific formula could be transformed and solved according to the form of the equation. Other than the Cartan formula, there were other methods to solve cubic equations, such as the decomposition method, the unknown and constant reciprocation method, and so on. In short, according to the form and conditions of the given cubic equation, one could choose the appropriate formula to solve it.
What is an indeterminate equation?Diophantine equation, also known as Diophantine equation, or integral coefficient equation, was a type of equation where the variables could only be an integral number. It was in the form of <ax + by = c>(where <a>,<b>, and <c> are all integral numbers). If a set of integral solutions could be found, then it was said to have an integral solution. Since the number of equations was less than the number of unknowns, the solution could not be completely determined. This was the indeterminate equation. For example, in the junior high school mathematics competition, the "29x +30y +31z = 365"("x","y", and "z" are non-negative numbers), and the "2x +3y = 65" in the public examination were examples of indeterminate equations.
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Balance photographyBalance photography was a way of making the various elements in the picture complement each other through composition, thus creating visual tension or harmonious effects, making people happy. The following are the many elements to consider in balanced photography:
1. ** Color **: Color has a major impact on the image. For example, in a dark-toned image, there are small patches of bright colors (such as cherry red on a black background), and their color, number, and position are balanced with the surrounding colors. Colors can evoke emotions, create tension, highlight elements, attract attention, and tell a story.
2. Light and Shadow: These are the opposing elements in photography. The presence of the two at the same time can increase the dimension of the subject, making the image have a three-dimensional feel on the 2D medium. The difference in contrast and color tone came from the difference in the amount of light and shadow. More contrast could expand the range of color tones. The imbalance of light and shadow (such as the seaside scenery shot on a cloudy day) would make the image look flat and lack impact.
3. ** Veins **: Veins can be presented in different ways. In some images (such as the spoon with spices), the multi-layered texture balanced the difference between the subject and the background; in the Blueberry shot, the texture of the water droplets helped balance the size of the berries and added an interesting element to the scene.
4. ** Visual weight **: This is a rather complicated concept, and sometimes it seems contradictory. For example, in the butterfly image, the color tone was similar, but the green leaves at the bottom corner played a role in supporting the visual weight. Cutting off the bottom would change the image.
5. ** Proportional Placing **: The position of the subject in the picture is very important.
6. ** Symmetries and Asymmetries **: Symmetries are a way to achieve visual balance. For example, the scenery reflected in the lake (the lakeside is in the center of the image) is a symmetrical balance image; Asymmetries use secondary objects to balance the main body (for example, when the bridge is the main body, the buildings next to it can balance the main body visually).
7. [Depth-of-field and Negative Space]: This will also play a role in balancing the composition of the photo.
In addition, the closed composition would focus on the balance of elements in the work to form a systematic visual effect; the open composition would also use the space outside the photo in addition to the main body. Although it might break the balance of elements, it could create a sense of spatial balance. The Rule of Thirds and the Golden Section were also used to achieve visual balance.
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Balance in photographyBalance in photography was an important concept that involved many aspects.
** I. Concept and significance of visual balance **
1. ** Concept **
- In photography, balance did not refer to the importance of the physical body, but the visual feeling. When the viewer saw the picture, they would feel harmony, stability, and perfection, and thus identify with the work.
2. ** Meaning **
- Photographs with a sense of visual balance were easier to appreciate. It allowed the viewer to focus on the subject while also noticing other elements in the scene. These elements complemented the subject rather than weakening it, and they complemented other composition techniques.
** 2. The factors that affect visual balance **
1. ** Visual weight-related factors **
- ** Brightness and Saturation **: Items with higher brightness and saturation have greater visual appeal and will affect visual weight. For example, in the photo taken at the beach, the large, prominent and dark-colored reef in the lower left corner could balance the fishing figures on the right and the brighter clouds in the sky.
- ** contrast and guiding elements **: objects with contrast and guiding elements (such as guiding lines, hands, etc.) will also affect the visual weight.
- ** Shape, size, and color **: Different shapes, sizes, and colors have different visual weights in the picture. For example, if one side of the object is small but dark in color and brightness, and the other side is large but light in color and brightness, the visual effect can be balanced; or if one side of the object is large but light in color, and the other side is small but dark in color, the visual effect can also be balanced.
- ** Dynamic or static, quantity **: The number of dynamic or static objects will also affect the visual weight balance. For example, if there was a larger object on one side, two smaller objects could be placed on the other side to achieve a balance of size and quantity. The two objects were not equal in weight due to the difference in size or distance, but they could achieve dynamic balance through the attraction of the viewer's line of sight.
- Distance, thickness of lines, clarity, and blurring-these factors also played a role in affecting visual balance.
2. ** Balance between Elements **
- ** Balance between characters **: When using characters to balance, such as shooting Tibetan old people, keep the main characters at a certain distance to balance the picture; if the characters in the picture are on one side, you can use the supporting characters on the other side to balance the picture.
- [Balance between objects: When using objects (elements) to balance, the objects on both sides do not need to be the same. It is fine as long as the visual proportion is balanced.]
- ** Balance of Space Usage **
- ** Protruding vertical line **: The vertical line can divide the image into two parts, and the objects on the left and right sides can be balanced.
- ** Decoratory pattern **: If you use the floral pattern on the wall to balance it, it can make the position of the character look more comfortable.
- ** Strong contrast (tone, tone)**: The contrast of tone (such as the contrast of the light in the upper left corner of a black-and-white photo to balance the character in the lower right corner) or the contrast of tone can be used to balance the picture.
** 3. Method of achieving balanced composition **
1. ** Position Balance **
- When the main body of the picture was simple and obvious, it did not have to be placed in the center. It could also be balanced at a position that was off-center, and it could also show movement and power.
2. ** Symsymmetrical balance **
- This was a relatively simple method of balancing, but the elements had to be cleverly arranged to avoid the monotony of the image. For example, the reflection of the scenery in the lake, the lake shore in the center of the image can get a symmetrical and balanced image.
3. ** Hue and size balance, color balance, size and quantity balance, dynamic balance **
- These methods of balance achieved visual balance by rationally arranging the elements of different attributes (hue, size, color, quantity, etc.) in the picture and using their relationships.
4. ** The balance between closed and open composition **
- The closed composition concentrated the balance elements in the work to express the theme, forming a systematic visual effect; the open composition used the space outside the photo in addition to the main body. Although it might break the balance of the elements, it had the balance created by the sense of space.
5. ** Asymmetrical Balance **
- Use secondary objects (companions) to balance the main body. For example, if the bridge is the main body of the photo, don't put the bridge in the middle. Use the buildings on the left to visually offset the imbalance of the main body on the right. The buildings in the background can balance the picture and improve the shooting effect.
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