基于给定的双方程系统,构建4维超高端凸纤维的数学模型:
$$\left\{ \begin{array}{r}
{r(\theta,\varphi)}_{超高端凸纤维}^{4维} = - ArcSin\left\lbrack \frac{1}{{BGM}_{{(\theta,\varphi)}_{Matrix}^{}}^{探针模型} \pm {MCM}_{{(\theta,\varphi)}_{Matrix}^{}}^{记忆悬浮}} \right\rbrack \times ArcCos\left\lbrack \frac{1}{{BGM}_{{(\theta,\varphi)}_{Matrix}^{}}^{探针模型} \pm {MCM}_{{(\theta,\varphi)}_{Matrix}^{}}^{记忆悬浮}} \right\rbrack + 2\pi N_{1}^{} + \frac{3\pi}{4} \\
\\
{r(\theta,\varphi)}_{超高端凸纤维}^{4维} = + ArcSin\left\lbrack \frac{1}{{BGM}_{{(\theta,\varphi)}_{Matrix}^{}}^{探针模型} \pm {MCM}_{{(\theta,\varphi)}_{Matrix}^{}}^{记忆悬浮}} \right\rbrack \times ArcCos\left\lbrack \frac{1}{{BGM}_{{(\theta,\varphi)}_{Matrix}^{}}^{探针模型} \pm {MCM}_{{(\theta,\varphi)}_{Matrix}^{}}^{记忆悬浮}} \right\rbrack + 2\pi N_{2}^{} - \frac{5\pi}{4}
\end{array} \right.$$
其中:
- BGM(θ,φ)Matrix:探针模型在球坐标下的矩阵表示
- MCM(θ,φ)Matrix:记忆悬浮约束矩阵
- N₁, N₂:相位整数参数,控制周期性结构
- ± 操作:表示模型的两种可能状态(叠加/干涉)
新增功能:
- 多种数学函数:提供五种不同的数学函数可视化
- 线框模式:可切换实体和线框显示模式
- 网格显示:控制参考网格的显示
- 模型导出:可将当前模型导出为OBJ格式
$${BGM}_{{(\theta,\varphi)}_{Matrix}^{}}^{探针模型} \pm {MCM}_{{(\theta,\varphi)}_{Matrix}^{}}^{记忆悬浮} = \left\lbrack \frac{1}{q}\left\lbrack \frac{d^{5}}{d^{5}A_{1,2}^{}} \right.\ \left\lbrack \left( \frac{1}{k_{1}}\frac{1}{k_{2}} \bullet Sin\left( A_{1}^{row} \right) + \frac{1}{k_{1}}\frac{1}{k_{2}} \bullet Cos\left( A_{2}^{col} \right) \right)^{4} + \left( \frac{1}{k_{2}}\frac{1}{k_{3}} \bullet Sin\left( A_{1}^{row} \right) + \frac{1}{k_{2}}\frac{1}{k_{3}} \bullet Cos\left( A_{2}^{col} \right) \right)^{3} \right\rbrack \right.\ \left. \ \times \frac{d^{5}}{d^{5}B_{1,2}^{}}\left. \ \left\lbrack \left( \frac{1}{k_{1}}\frac{1}{k_{2}} \bullet Sin\left( B_{1}^{row} \right) + \frac{1}{k_{1}}\frac{1}{k_{2}} \bullet Cos\left( B_{2}^{col} \right) \right)^{4} + \left( \frac{1}{k_{2}}\frac{1}{k_{3}} \bullet Sin\left( B_{1}^{row} \right) + \frac{1}{k_{2}}\frac{1}{k_{3}} \bullet Cos\left( B_{2}^{col} \right) \right)^{3} \right\rbrack \right\rbrack + \frac{1}{p} \right\rbrack_{探针模型}^{{BGM}_{Z_{}^{}}^{}} \pm \left\lbrack Arctg\left\lbrack \sqrt{Cos\left( A_{1}^{row} + A_{2}^{col} \right)Csc\left( A_{1}^{row} + \frac{\pi}{4} \right)Csc\left( A_{2}^{col} + \frac{\pi}{4} \right)tg\left( a + \frac{\pi}{4} \right)} \right\rbrack - \frac{\pi}{4} \right\rbrack_{记忆悬浮}^{{MCM}_{Z_{}^{}}^{}} \mp \left\lbrack Arctg\left\lbrack \sqrt{Cos\left( B_{1}^{row} + {B\ }_{2}^{col} \right)Csc\left( B_{1}^{row} + \frac{\pi}{4} \right)Csc\left( B_{2}^{col} + \frac{\pi}{4} \right)tg\left( a + \frac{\pi}{4} \right)} \right\rbrack - \frac{\pi}{4} \right\rbrack_{记忆悬浮}^{{MCM}_{Z_{}^{}}^{}}$$