class SelfAttention(nn.Module): def __init__(self, in_channels, reduction=4): super(SelfAttention, self).__init__() self.avg_pool = nn.AdaptiveAvgPool1d(1) # print("in_channels", in_channels) print("in_channels:", in_channels) print("reduction:", reduction) self.fc1 = nn.Conv1d(in_channels, in_channels // reduction, 1, bias=False) self.relu = nn.ReLU(inplace=True) self.fc2 = nn.Conv1d(in_channels // reduction, in_channels, 1, bias=False) self.sigmoid = nn.Sigmoid() def forward(self, x): b, c, n = x.size() print("x.shape=", x.shape) y = self.avg_pool(x) print("y.shape=", y.shape) # print("channel_out", channel_out) y = self.fc1(y) y = self.relu(y) y = self.fc2(y) y = self.sigmoid(y) return x * y.expand_as(x) def get_model(input_channels=6, use_xyz=True): return Pointnet2MSG(input_channels=input_channels, use_xyz=use_xyz) class Pointnet2MSG(nn.Module): def __init__(self, input_channels=6, use_xyz=True): super(Pointnet2MSG, self).__init__() self.SA_modules = nn.ModuleList() channel_in = input_channels # print("channel_in=", channel_in) skip_channel_list = [input_channels] for k in range(cfg.RPN.SA_CONFIG.NPOINTS.__len__()): mlps = cfg.RPN.SA_CONFIG.MLPS[k].copy() channel_out = 0 # print("channel_in=", channel_in) for idx in range(mlps.__len__()): mlps[idx] = [channel_in] + mlps[idx] channel_out += mlps[idx][-1] mlps.append(channel_out) # print(mlps) print("channel_out", channel_out) self.SA_modules.append( nn.Sequential( PointnetSAModuleMSG( npoint=cfg.RPN.SA_CONFIG.NPOINTS[k], radii=cfg.RPN.SA_CONFIG.RADIUS[k], nsamples=cfg.RPN.SA_CONFIG.NSAMPLE[k], mlps=mlps[:2], use_xyz=use_xyz, bn=cfg.RPN.USE_BN, ), SelfAttention(channel_out) ) ) skip_channel_list.append(channel_out) channel_in = channel_out根据以上代码块,自注意力机制模块中forward函数所接受的x参数的值到底是什么?

时间: 2023-11-20 13:05:53 浏览: 42
根据代码块中的描述,自注意力机制模块中forward函数所接受的x参数应该是输入的特征张量,其形状为(b, c, n),其中b表示batch size,c表示通道数,n表示点云中点的数目。在代码块中,x首先通过avg_pool进行自适应平均池化操作得到y,然后经过fc1、relu、fc2和sigmoid层得到注意力权重,最后将输入特征张量x与注意力权重y相乘得到加权特征张量作为输出。
相关问题

class SelfAttention(nn.Module): def __init__(self, in_channels, reduction=4): super(SelfAttention, self).__init__() self.avg_pool = nn.AdaptiveAvgPool1d(1) # print("in_channels", in_channels) self.fc1 = nn.Conv1d(in_channels, in_channels // reduction, 1, bias=False) self.relu = nn.ReLU(inplace=True) self.fc2 = nn.Conv1d(in_channels // reduction, in_channels, 1, bias=False) self.sigmoid = nn.Sigmoid() def forward(self, x): b, c, n = x.size() y = self.avg_pool(x) print("y.shape=", y.shape) # print("in_channels", in_channels) y = self.fc1(y) y = self.relu(y) y = self.fc2(y) y = self.sigmoid(y) return x * y.expand_as(x)我想在这个类中实现将传入的参数进行打印,你可以给我详细的代码吗?

你可以在 `__init__` 方法中添加以下代码: ``` print("in_channels:", in_channels) print("reduction:", reduction) ``` 在 `forward` 方法中添加以下代码: ``` print("x.shape:", x.shape) ``` 这样就可以在打印的信息中看到传入的参数和输入的张量形状了。完整的代码如下: ``` class SelfAttention(nn.Module): def __init__(self, in_channels, reduction=4): super(SelfAttention, self).__init__() self.avg_pool = nn.AdaptiveAvgPool1d(1) # print("in_channels:", in_channels) print("reduction:", reduction) self.fc1 = nn.Conv1d(in_channels, in_channels // reduction, 1, bias=False) self.relu = nn.ReLU(inplace=True) self.fc2 = nn.Conv1d(in_channels // reduction, in_channels, 1, bias=False) self.sigmoid = nn.Sigmoid() def forward(self, x): print("x.shape:", x.shape) b, c, n = x.size() y = self.avg_pool(x) print("y.shape=", y.shape) # y = self.fc1(y) y = self.relu(y) y = self.fc2(y) y = self.sigmoid(y) return x * y.expand_as(x) ```

这是类的定义,class SelfAttention(nn.Module): def __init__(self, in_channels, reduction=4): super(SelfAttention, self).__init__() self.avg_pool = nn.AdaptiveAvgPool1d(1) self.fc1 = nn.Conv1d(in_channels, in_channels // reduction, 1, bias=False) self.relu = nn.ReLU(inplace=True) self.fc2 = nn.Conv1d(in_channels // reduction, in_channels, 1, bias=False) self.sigmoid = nn.Sigmoid() def forward(self, x): b, c, n = x.size() y = self.avg_pool(x) y = self.fc1(y) y = self.relu(y) y = self.fc2(y) y = self.sigmoid(y) return x * y.expand_as(x),而这是使用该类的位置:self.SA_modules.append( nn.Sequential( PointnetSAModuleMSG( npoint=cfg.RPN.SA_CONFIG.NPOINTS[k], radii=cfg.RPN.SA_CONFIG.RADIUS[k], nsamples=cfg.RPN.SA_CONFIG.NSAMPLE[k], mlps=mlps, use_xyz=use_xyz, bn=cfg.RPN.USE_BN, channel_out=channel_out ), SelfAttention(channel_out=channel_out) ) ),但是运行时报错:File "/root/autodl-tmp/project/tools/../lib/net/pointnet2_msg.py", line 125, in __init__ SelfAttention(channel_out=channel_out) TypeError: __init__() got an unexpected keyword argument 'channel_out',为什么呢?如何解决

在你的代码中,SelfAttention类的初始化方法中只接收两个参数in_channels和reduction,而你在使用该类时传递了一个名为channel_out的参数,导致了TypeError。 解决方法是修改SelfAttention类的定义,为其增加一个名为channel_out的参数,并在初始化方法中接收和使用该参数。修改后的类定义如下: ``` class SelfAttention(nn.Module): def __init__(self, in_channels, channel_out, reduction=4): super(SelfAttention, self).__init__() self.avg_pool = nn.AdaptiveAvgPool1d(1) self.fc1 = nn.Conv1d(in_channels, in_channels // reduction, 1, bias=False) self.relu = nn.ReLU(inplace=True) self.fc2 = nn.Conv1d(in_channels // reduction, channel_out, 1, bias=False) self.sigmoid = nn.Sigmoid() def forward(self, x): b, c, n = x.size() y = self.avg_pool(x) y = self.fc1(y) y = self.relu(y) y = self.fc2(y) y = self.sigmoid(y) return x * y.expand_as(x) ``` 然后在使用SelfAttention类时,需要传递in_channels和channel_out参数,例如: ``` self.SA_modules.append( nn.Sequential( PointnetSAModuleMSG( npoint=cfg.RPN.SA_CONFIG.NPOINTS[k], radii=cfg.RPN.SA_CONFIG.RADIUS[k], nsamples=cfg.RPN.SA_CONFIG.NSAMPLE[k], mlps=mlps, use_xyz=use_xyz, bn=cfg.RPN.USE_BN, channel_out=channel_out ), SelfAttention(in_channels=channel_out, channel_out=channel_out) ) ) ```

相关推荐

class TemporalBlock(nn.Module): """ Temporal block with the following layers: - 2x3x3, 1x3x3, spatio-temporal pyramid pooling - dropout - skip connection. """ def __init__(self, in_channels, out_channels=None, use_pyramid_pooling=False, pool_sizes=None): super().__init__() self.in_channels = in_channels self.half_channels = in_channels // 2 self.out_channels = out_channels or self.in_channels self.kernels = [(2, 3, 3), (1, 3, 3)] # Flag for spatio-temporal pyramid pooling self.use_pyramid_pooling = use_pyramid_pooling # 3 convolution paths: 2x3x3, 1x3x3, 1x1x1 self.convolution_paths = [] for kernel_size in self.kernels: self.convolution_paths.append( nn.Sequential( conv_1x1x1_norm_activated(self.in_channels, self.half_channels), CausalConv3d(self.half_channels, self.half_channels, kernel_size=kernel_size), ) ) self.convolution_paths.append(conv_1x1x1_norm_activated(self.in_channels, self.half_channels)) self.convolution_paths = nn.ModuleList(self.convolution_paths) agg_in_channels = len(self.convolution_paths) * self.half_channels if self.use_pyramid_pooling: assert pool_sizes is not None, "setting must contain the list of kernel_size, but is None." reduction_channels = self.in_channels // 3 self.pyramid_pooling = PyramidSpatioTemporalPooling(self.in_channels, reduction_channels, pool_sizes) agg_in_channels += len(pool_sizes) * reduction_channels # Feature aggregation self.aggregation = nn.Sequential( conv_1x1x1_norm_activated(agg_in_channels, self.out_channels),) if self.out_channels != self.in_channels: self.projection = nn.Sequential( nn.Conv3d(self.in_channels, self.out_channels, kernel_size=1, bias=False), nn.BatchNorm3d(self.out_channels), ) else: self.projection = None网络结构是什么?

class DownConv(nn.Module): def __init__(self, seq_len=200, hidden_size=64, m_segments=4,k1=10,channel_reduction=16): super().__init__() """ DownConv is implemented by stacked strided convolution layers and more details can be found below. When the parameters k_1 and k_2 are determined, we can soon get m in Eq.2 of the paper. However, we are more concerned with the size of the parameter m, so we searched for a combination of parameter m and parameter k_1 (parameter k_2 can be easily calculated in this process) to find the optimal segment numbers. Args: input_tensor (torch.Tensor): the input of the attention layer Returns: output_conv (torch.Tensor): the convolutional outputs in Eq.2 of the paper """ self.m =m_segments self.k1 = k1 self.channel_reduction = channel_reduction # avoid over-parameterization middle_segment_length = seq_len/k1 k2=math.ceil(middle_segment_length/m_segments) padding = math.ceil((k2*self.m-middle_segment_length)/2.0) # pad the second convolutional layer appropriately self.conv1a = nn.Conv1d(in_channels=hidden_size, out_channels=hidden_size // self.channel_reduction, kernel_size=self.k1, stride=self.k1) self.relu1a = nn.ReLU(inplace=True) self.conv2a = nn.Conv1d(in_channels=hidden_size // self.channel_reduction, out_channels=hidden_size, kernel_size=k2, stride=k2, padding = padding) def forward(self, input_tensor): input_tensor = input_tensor.permute(0, 2, 1) x1a = self.relu1a(self.conv1a(input_tensor)) x2a = self.conv2a(x1a) if x2a.size(2) != self.m: print('size_erroe, x2a.size_{} do not equals to m_segments_{}'.format(x2a.size(2),self.m)) output_conv = x2a.permute(0, 2, 1) return output_conv

class SelfAttention(nn.Module): def init(self, in_channels, reduction=4): super(SelfAttention, self).init() self.avg_pool = nn.AdaptiveAvgPool1d(1) self.fc1 = nn.Conv1d(in_channels, in_channels // reduction, 1, bias=False) self.relu = nn.ReLU(inplace=True) self.fc2 = nn.Conv1d(in_channels // reduction, in_channels, 1, bias=False) self.sigmoid = nn.Sigmoid() def forward(self, x): b, c, n = x.size() y = self.avg_pool(x) y = self.fc1(y) y = self.relu(y) y = self.fc2(y) y = self.sigmoid(y) return x * y.expand_as(x) def get_model(input_channels=6, use_xyz=True): return Pointnet2MSG(input_channels=input_channels, use_xyz=use_xyz) class Pointnet2MSG(nn.Module): def init(self, input_channels=6, use_xyz=True): super().init() self.SA_modules = nn.ModuleList() channel_in = input_channels skip_channel_list = [input_channels] for k in range(cfg.RPN.SA_CONFIG.NPOINTS.len()): mlps = cfg.RPN.SA_CONFIG.MLPS[k].copy() channel_out = 0 for idx in range(mlps.len()): mlps[idx] = [channel_in] + mlps[idx] channel_out += mlps[idx][-1] mlps.append(channel_out) self.SA_modules.append( nn.Sequential( PointnetSAModuleMSG( npoint=cfg.RPN.SA_CONFIG.NPOINTS[k], radii=cfg.RPN.SA_CONFIG.RADIUS[k], nsamples=cfg.RPN.SA_CONFIG.NSAMPLE[k], mlps=mlps, use_xyz=use_xyz, bn=cfg.RPN.USE_BN ), SelfAttention(channel_out) ) ) skip_channel_list.append(channel_out) channel_in = channel_out self.FP_modules = nn.ModuleList() for k in range(cfg.RPN.FP_MLPS.len()): pre_channel = cfg.RPN.FP_MLPS[k + 1][-1] if k + 1 < len(cfg.RPN.FP_MLPS) else channel_out self.FP_modules.append( PointnetFPModule( mlp=[pre_channel + skip_channel_list[k]] + cfg.RPN.FP_MLPS[k] ) )根据如上代码,如果要在Pointnet2MSG类中的forward函数调用SA_modules的话需要传入哪些参数,几个参数?初步的forward函数时这样的 def forward(self, pointcloud: torch.cuda.FloatTensor): xyz, features = self._break_up_pc(pointcloud) l_xyz, l_features = [xyz]然后需要return l_xyz[0], l_features[0]

class PointnetSAModuleMSG(_PointnetSAModuleBase): """Pointnet set abstraction layer with multiscale grouping""" def __init__(self, *, npoint: int, radii: List[float], nsamples: List[int], mlps: List[List[int]], bn: bool = True, use_xyz: bool = True, pool_method='max_pool', instance_norm=False): """ :param npoint: int :param radii: list of float, list of radii to group with :param nsamples: list of int, number of samples in each ball query :param mlps: list of list of int, spec of the pointnet before the global pooling for each scale :param bn: whether to use batchnorm :param use_xyz: :param pool_method: max_pool / avg_pool :param instance_norm: whether to use instance_norm """ super().__init__() assert len(radii) == len(nsamples) == len(mlps) self.npoint = npoint self.groupers = nn.ModuleList() self.mlps = nn.ModuleList() for i in range(len(radii)): radius = radii[i] nsample = nsamples[i] self.groupers.append( pointnet2_utils.QueryAndGroup(radius, nsample, use_xyz=use_xyz) if npoint is not None else pointnet2_utils.GroupAll(use_xyz) ) mlp_spec = mlps[i] if use_xyz: mlp_spec[0] += 3 self.mlps.append(pt_utils.SharedMLP(mlp_spec, bn=bn, instance_norm=instance_norm)) self.pool_method = pool_method这是PointnetSAModuleMSG的代码,而这是selfattention的代码:class SelfAttention(nn.Module): def __init__(self, in_channels, reduction=4): super(SelfAttention, self).__init__() self.avg_pool = nn.AdaptiveAvgPool1d(1) self.fc1 = nn.Conv1d(in_channels, in_channels // reduction, 1, bias=False) self.relu = nn.ReLU(inplace=True) self.fc2 = nn.Conv1d(in_channels // reduction, in_channels, 1, bias=False) self.sigmoid = nn.Sigmoid() def forward(self, x): b, c, n = x.size() y = self.avg_pool(x) y = self.fc1(y) y = self.relu(y) y = self.fc2(y) y = self.sigmoid(y) return x * y.expand_as(x);我想将SelfAttention作为PointnetSAModuleMSG的子模块,我是为了加入SA注意力机制,所以需要对PointnetSAModuleMSG进行修改。我想在每个SA模块中添加一个注意力机制,以使得网络可以更好地聚焦于重要的点。具体实现方式是在每个SA模块的最后一层MLP后加入一个Self-Attention层,(如SelfAttention类所示)用于计算每个点的注意力分数。你可以给我写出详细的修改代码吗?

import torch import torch.nn as nn from pointnet2_lib.pointnet2.pointnet2_modules import PointnetFPModule, PointnetSAModuleMSG from lib.config import cfg class SelfAttention(nn.Module): def __init__(self, in_channels, reduction=4): super(SelfAttention, self).__init__() self.avg_pool = nn.AdaptiveAvgPool1d(1) self.fc1 = nn.Conv1d(in_channels, in_channels // reduction, 1, bias=False) self.relu = nn.ReLU(inplace=True) self.fc2 = nn.Conv1d(in_channels // reduction, in_channels, 1, bias=False) self.sigmoid = nn.Sigmoid() def forward(self, x): b, c, n = x.size() y = self.avg_pool(x) y = self.fc1(y) y = self.relu(y) y = self.fc2(y) y = self.sigmoid(y) return x * y.expand_as(x) def get_model(input_channels=6, use_xyz=True): return Pointnet2MSG(input_channels=input_channels, use_xyz=use_xyz) class Pointnet2MSG(nn.Module): def __init__(self, input_channels=6, use_xyz=True): super().__init__() self.SA_modules = nn.ModuleList() channel_in = input_channels skip_channel_list = [input_channels] for k in range(cfg.RPN.SA_CONFIG.NPOINTS.len()): mlps = cfg.RPN.SA_CONFIG.MLPS[k].copy() channel_out = 0 for idx in range(mlps.len()): mlps[idx] = [channel_in] + mlps[idx] channel_out += mlps[idx][-1] mlps.append(channel_out) self.SA_modules.append( nn.Sequential( PointnetSAModuleMSG( npoint=cfg.RPN.SA_CONFIG.NPOINTS[k], radii=cfg.RPN.SA_CONFIG.RADIUS[k], nsamples=cfg.RPN.SA_CONFIG.NSAMPLE[k], mlps=mlps, use_xyz=use_xyz, bn=cfg.RPN.USE_BN ), SelfAttention(channel_out) ) ) skip_channel_list.append(channel_out) channel_in = channel_out self.FP_modules = nn.ModuleList() for k in range(cfg.RPN.FP_MLPS.len()): pre_channel = cfg.RPN.FP_MLPS[k + 1][-1] if k + 1 < len(cfg.RPN.FP_MLPS) else channel_out self.FP_modules.append( PointnetFPModule( mlp=[pre_channel + skip_channel_list[k]] + cfg.RPN.FP_MLPS[k] ) ) def _break_up_pc(self, pc): xyz = pc[..., 0:3].contiguous() features = ( pc[..., 3:].transpose(1, 2).contiguous() if pc.size(-1) > 3 else None ) return xyz, features def forward(self, pointcloud: torch.cuda.FloatTensor): xyz, features = self._break_up_pc(pointcloud) l_xyz, l_features = [xyz], [features] for i in range(len(self.SA_modules)): li_xyz, li_features = self.SA_modules[i](l_xyz[i], l_features[i]) l_xyz.append(li_xyz) l_features.append(li_features) for i in range(-1, -(len(self.FP_modules) + 1), -1): l_features[i - 1] = self.FP_modules[i]( l_xyz[i - 1], l_xyz[i], l_features[i - 1], l_features[i] ) return l_xyz[0], l_features[0]中的 SA_modules的forward函数接受几个参数,为什么

最新推荐

recommend-type

vb仓库管理系统(可执行程序+源码+ 开题报告+ 答辩稿)【VB】.zip

vb仓库管理系统(可执行程序+源码+ 开题报告+ 答辩稿)【VB】
recommend-type

甘胺酸市场 - 全球产业规模、份额、趋势、机会和预测,按类型、应用、地区和竞争细分,2019-2029F.docx

甘胺酸市场 - 全球产业规模、份额、趋势、机会和预测,按类型、应用、地区和竞争细分,2019-2029F
recommend-type

cryptography-37.0.1-cp36-abi3-win_amd64.whl

Python库是一组预先编写的代码模块,旨在帮助开发者实现特定的编程任务,无需从零开始编写代码。这些库可以包括各种功能,如数学运算、文件操作、数据分析和网络编程等。Python社区提供了大量的第三方库,如NumPy、Pandas和Requests,极大地丰富了Python的应用领域,从数据科学到Web开发。Python库的丰富性是Python成为最受欢迎的编程语言之一的关键原因之一。这些库不仅为初学者提供了快速入门的途径,而且为经验丰富的开发者提供了强大的工具,以高效率、高质量地完成复杂任务。例如,Matplotlib和Seaborn库在数据可视化领域内非常受欢迎,它们提供了广泛的工具和技术,可以创建高度定制化的图表和图形,帮助数据科学家和分析师在数据探索和结果展示中更有效地传达信息。
recommend-type

SMG2336N-VB一款N-Channel沟道SOT23的MOSFET晶体管参数介绍与应用说明

SOT23;N—Channel沟道,30V;6.5A;RDS(ON)=30mΩ@VGS=10V,VGS=20V;Vth=1.2~2.2V;
recommend-type

2021年数学建模国赛C题第一问- Python代码-word完整版-基于熵权法-TOPSIS法

2021年数学建模国赛C题第一问 免费的,有需要自取哦 如果能关注我一下,那是最好的了 实在不行就在我的任意一篇博客中 留个免费的赞吧,感谢大佬 如果有错误的哈 欢迎指正哦 祝您变得更强 ------------------------------------------- 蹭曝光度,蹭曝光度 蹭曝光度,蹭曝光度 蹭曝光度,蹭曝光度 蹭曝光度,蹭曝光度 蹭曝光度,蹭曝光度 蹭曝光度,蹭曝光度 蹭曝光度,蹭曝光度 蹭曝光度,蹭曝光度 蹭曝光度,蹭曝光度 蹭曝光度,蹭曝光度 蹭曝光度,蹭曝光度 蹭曝光度,蹭曝光度 蹭曝光度,蹭曝光度 蹭曝光度,蹭曝光度 蹭曝光度,蹭曝光度 蹭曝光度,蹭曝光度 蹭曝光度,蹭曝光度 蹭曝光度,蹭曝光度 蹭曝光度,蹭曝光度 蹭曝光度,蹭曝光度 蹭曝光度,蹭曝光度 蹭曝光度,蹭曝光度 蹭曝光度,蹭曝光度 蹭曝光度,蹭曝光度 蹭曝光度,蹭曝光度 蹭曝光度,蹭曝光度 蹭曝光度,蹭曝光度 蹭曝光度,蹭曝光度 蹭曝光度,蹭曝光度 蹭曝光度,蹭曝光度 蹭曝光度,蹭曝光度 蹭曝光度,蹭曝光度 蹭曝光度,蹭曝光度
recommend-type

中文翻译Introduction to Linear Algebra, 5th Edition 2.1节

中文翻译Introduction to Linear Algebra, 5th Edition 2.1节 线性代数的核心问题是求解方程组。这些方程都是线性的,即未知数仅与数相乘——我们绝不会 遇见 x 乘以 y。我们的第一个线性方程组较小。接下来你来看看它引申出多远: 两个方程 两个未知数 x − 2y = 1 3x + 2y = 11 (1) 我们一次从一个行开始。第一个方程 x − 2y = 1 得出了 xy 平面的一条直线。由于点 x = 1, y = 0 解 出该方程,因此它在这条直线上。因为 3 − 2 = 1,所以点 x = 3, y = 1 也在这条直线上。若我们选择 x = 101,那我们求出 y = 50。 这条特定直线的斜率是 12,是因为当 x 变化 2 时 y 增加 1。斜率在微积分中很重要,然而这是线 性代数! 图 2.1 将展示第一条直线 x − 2y = 1。此“行图”中的第二条直线来自第二个方程 3x + 2y = 11。你 不能错过两条线的交点 x = 3, y = 1。点 (3, 1) 位于两条线上并且解出两个方程。
recommend-type

管理建模和仿真的文件

管理Boualem Benatallah引用此版本:布阿利姆·贝纳塔拉。管理建模和仿真。约瑟夫-傅立叶大学-格勒诺布尔第一大学,1996年。法语。NNT:电话:00345357HAL ID:电话:00345357https://theses.hal.science/tel-003453572008年12月9日提交HAL是一个多学科的开放存取档案馆,用于存放和传播科学研究论文,无论它们是否被公开。论文可以来自法国或国外的教学和研究机构,也可以来自公共或私人研究中心。L’archive ouverte pluridisciplinaire
recommend-type

识别MATLAB微分方程求解中的混沌行为:分析非线性方程混沌行为的实用技巧

![matlab求解微分方程](https://img-blog.csdnimg.cn/2021062810300367.png?x-oss-process=image/watermark,type_ZmFuZ3poZW5naGVpdGk,shadow_10,text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3dlaXhpbl80MTQ3OTY3OA==,size_16,color_FFFFFF,t_70) # 1. MATLAB微分方程求解概述 微分方程是描述物理、工程和金融等领域中动态系统的数学模型。MATLAB提供了强大的工具来求解微分方程,包括内置求解器和自定义函数
recommend-type

physon如何做ERP系统

作为一个AI语言模型,我可以给您提供一些基本的建议和思路: 1.明确需求和目标:在开始开发ERP系统之前,需要明确您的业务需求和目标,了解您的业务流程、流程数据、员工角色和权限、财务管理等方面的要求,这样才能更好的设计和开发ERP系统。 2.选择技术框架和开发工具:选择合适的技术框架和开发工具是ERP系统开发的关键。选择一种流行的技术框架和工具可以提高开发效率和质量。 3.设计数据库:ERP系统需要一个功能强大的数据库来存储数据。设计数据库需要考虑数据的完整性、安全性和可扩展性。 4.设计系统架构:系统架构是ERP系统的骨架,需要考虑系统的可扩展性、可维护性和性能。 5.开发和测试:
recommend-type

zigbee-cluster-library-specification

最新的zigbee-cluster-library-specification说明文档。