把这三个代码整合在一起

为了将上面提到的三个MATLAB代码段整合在一起，你可以创建一个函数或者编写在一个脚本文件中。以下是整合后的示例：

% 定义变量和多项式
syms x
y = 4*x^4 - 12*x^3 + x^2 + 2*x - 15;

% (1) 因式分解
[fac, factors] = factor(y);
disp('因式分解结果：');
disp(fac);

% (2) 求导和不定积分
dydx = diff(y, x);
dydxx = diff(dydx, x);
integral_y = int(y, x);
disp(['一阶导数：', dydx]);
disp(['二阶导数：', dydxx]);
disp(['不定积分：', integral_y]);

% (3) 解方程 y = 0
solutions = roots(y);
disp('方程 y=0 的根：');
disp(solutions);

在这个整合的代码中，首先我们进行了因式分解，然后计算了多项式的导数和不定积分为后续分析做准备，最后找出多项式零点。运行此代码时，所有操作一次性完成并显示结果。

相关问题

用gui把上面三个整合到一起

以下是一个用GUI将上述三个不同形状孔的菲涅尔衍射整合在一起的示例代码，供参考：

function varargout = diffraction_gui(varargin)
% DIFFRACTION_GUI MATLAB code for diffraction_gui.fig
%      DIFFRACTION_GUI, by itself, creates a new DIFFRACTION_GUI or raises the existing
%      singleton*.
%
%      H = DIFFRACTION_GUI returns the handle to a new DIFFRACTION_GUI or the handle to
%      the existing singleton*.
%
%      DIFFRACTION_GUI('CALLBACK',hObject,eventData,handles,...) calls the local
%      function named CALLBACK in DIFFRACTION_GUI.M with the given input arguments.
%
%      DIFFRACTION_GUI('Property','Value',...) creates a new DIFFRACTION_GUI or raises the
%      existing singleton*.  Starting from the left, property value pairs are
%      applied to the GUI before diffraction_gui_OpeningFcn gets called.  An
%      unrecognized property name or invalid value makes property application
%      stop.  All inputs are passed to diffraction_gui_OpeningFcn via varargin.
%
%      *See GUI Options on GUIDE's Tools menu.  Choose "GUI allows only one
%      instance to run (singleton)".
%
% See also: GUIDE, GUIDATA, GUIHANDLES

% Edit the above text to modify the response to help diffraction_gui

% Last Modified by GUIDE v2.5 15-Aug-2021 21:28:07

% Begin initialization code - DO NOT EDIT
gui_Singleton = 1;
gui_State = struct('gui_Name',       mfilename, ...
                   'gui_Singleton',  gui_Singleton, ...
                   'gui_OpeningFcn', @diffraction_gui_OpeningFcn, ...
                   'gui_OutputFcn',  @diffraction_gui_OutputFcn, ...
                   'gui_LayoutFcn',  [] , ...
                   'gui_Callback',   []);
if nargin && ischar(varargin{1})
    gui_State.gui_Callback = str2func(varargin{1});
end

if nargout
    [varargout{1:nargout}] = gui_mainfcn(gui_State, varargin{:});
else
    gui_mainfcn(gui_State, varargin{:});
end
% End initialization code - DO NOT EDIT


% --- Executes just before diffraction_gui is made visible.
function diffraction_gui_OpeningFcn(hObject, eventdata, handles, varargin)
% This function has no output args, see OutputFcn.
% hObject    handle to figure
% eventdata  reserved - to be defined in a future version of MATLAB
% handles    structure with handles and user data (see GUIDATA)
% varargin   command line arguments to diffraction_gui (see VARARGIN)

% Choose default command line output for diffraction_gui
handles.output = hObject;

% Update handles structure
guidata(hObject, handles);

% UIWAIT makes diffraction_gui wait for user response (see UIRESUME)
% uiwait(handles.figure1);

% 设置菲涅尔衍射的默认参数
set(handles.wavelength_edit, 'String', '0.5e-6');
set(handles.distance_edit, 'String', '1');
set(handles.resolution_edit, 'String', '1000');
set(handles.aperture_popup, 'Value', 1);


% --- Outputs from this function are returned to the command line.
function varargout = diffraction_gui_OutputFcn(hObject, eventdata, handles) 
% varargout  cell array for returning output args (see VARARGOUT);
% hObject    handle to figure
% eventdata  reserved - to be defined in a future version of MATLAB
% handles    structure with handles and user data (see GUIDATA)

% Get default command line output from handles structure
varargout{1} = handles.output;


% --- Executes on button press in calculate_button.
function calculate_button_Callback(hObject, eventdata, handles)
% hObject    handle to calculate_button (see GCBO)
% eventdata  reserved - to be defined in a future version of MATLAB
% handles    structure with handles and user data (see GUIDATA)

% 获取用户输入参数
wavelength = str2double(get(handles.wavelength_edit, 'String'));
distance = str2double(get(handles.distance_edit, 'String'));
resolution = str2double(get(handles.resolution_edit, 'String'));
aperture = get(handles.aperture_popup, 'Value');

% 根据用户选择的孔形状计算透过函数
switch aperture
    case 1 % 圆形孔
        a = 1e-3; % 孔半径
        x = linspace(-a, a, resolution);
        y = linspace(-a, a, resolution);
        [X, Y] = meshgrid(x, y);
        r = sqrt(X.^2 + Y.^2);
        transmission = zeros(size(r));
        transmission(r <= a) = 1;
    case 2 % 矩形孔
        a = 1e-3; % 孔半径
        x = linspace(-a, a, resolution);
        y = linspace(-a, a, resolution);
        [X, Y] = meshgrid(x, y);
        transmission = zeros(size(X));
        transmission(abs(X) <= a & abs(Y) <= a) = 1;
    case 3 % 三角形孔
        a = 1e-3; % 孔半径
        x = linspace(-a, a, resolution);
        y = linspace(-a, a, resolution);
        [X, Y] = meshgrid(x, y);
        transmission = zeros(size(X));
        transmission(Y <= -0.5*a*X & Y <= 0.5*a*X & Y >= -a*sqrt(3)/2) = 1;
end

% 计算衍射场
k = 2*pi/wavelength; % 波数
U = (1/(1i*wavelength*distance))*exp(1i*k*distance)*exp(1i*k*(X.^2 + Y.^2)/(2*distance)).*transmission;
I = abs(U).^2;

% 绘制图像
axes(handles.axes1);
imagesc(x, y, I);
axis equal tight;
colormap('gray');
switch aperture
    case 1
        title('Circular Aperture Fraunhofer Diffraction Pattern');
    case 2
        title('Square Aperture Fraunhofer Diffraction Pattern');
    case 3
        title('Triangle Aperture Fraunhofer Diffraction Pattern');
end
xlabel('x');
ylabel('y');


% --- Executes on selection change in aperture_popup.
function aperture_popup_Callback(hObject, eventdata, handles)
% hObject    handle to aperture_popup (see GCBO)
% eventdata  reserved - to be defined in a future version of MATLAB
% handles    structure with handles and user data (see GUIDATA)


% --- Executes during object creation, after setting all properties.
function aperture_popup_CreateFcn(hObject, eventdata, handles)
% hObject    handle to aperture_popup (see GCBO)
% eventdata  reserved - to be defined in a future version of MATLAB
% handles    empty - handles not created until after all CreateFcns called

% 显示孔形状的选项
set(hObject, 'String', {'Circular Aperture', 'Square Aperture', 'Triangle Aperture'});


% --- Executes during object creation, after setting all properties.
function axes1_CreateFcn(hObject, eventdata, handles)
% hObject    handle to axes1 (see GCBO)
% eventdata  reserved - to be defined in a future version of MATLAB
% handles    empty - handles not created until after all CreateFcns called

% 设置绘图区域的默认背景颜色
set(hObject, 'Color', [0.95, 0.95, 0.95]);


% --- Executes during object creation, after setting all properties.
function wavelength_edit_CreateFcn(hObject, eventdata, handles)
% hObject    handle to wavelength_edit (see GCBO)
% eventdata  reserved - to be defined in a future version of MATLAB
% handles    empty - handles not created until after all CreateFcns called

% 设置波长输入框的默认值
set(hObject, 'String', '0.5e-6');


% --- Executes during object creation, after setting all properties.
function distance_edit_CreateFcn(hObject, eventdata, handles)
% hObject    handle to distance_edit (see GCBO)
% eventdata  reserved - to be defined in a future version of MATLAB
% handles    empty - handles not created until after all CreateFcns called

% 设置距离输入框的默认值
set(hObject, 'String', '1');


% --- Executes during object creation, after setting all properties.
function resolution_edit_CreateFcn(hObject, eventdata, handles)
% hObject    handle to resolution_edit (see GCBO)
% eventdata  reserved - to be defined in a future version of MATLAB
% handles    empty - handles not created until after all CreateFcns called

% 设置分辨率输入框的默认值
set(hObject, 'String', '1000');

注意：以上代码只是一个示例，可能需要根据实际需求进行修改和优化。在使用GUI时，还需要创建对应的.fig文件来定义GUI的布局和界面元素。

两个DataFrame数据合在一起的代码

可以使用pandas库中的merge()函数将两个DataFrame数据合并在一起。

示例代码如下：

import pandas as pd

# 创建第一个DataFrame数据
df1 = pd.DataFrame({'id': [1, 2, 3, 4], 'name': ['Tom', 'Jerry', 'Kate', 'Lucy'], 'age': [20, 25, 30, 35]})

# 创建第二个DataFrame数据
df2 = pd.DataFrame({'id': [1, 2, 3, 4], 'gender': ['male', 'male', 'female', 'female'], 'city': ['Beijing', 'Shanghai', 'Guangzhou', 'Shenzhen']})

# 使用merge()函数将两个DataFrame数据合并在一起
merged_df = pd.merge(df1, df2, on='id')

# 输出合并后的DataFrame数据
print(merged_df)

运行结果如下：

   id  name  age  gender       city
0   1   Tom   20    male    Beijing
1   2  Jerry  25    male   Shanghai
2   3   Kate  30  female  Guangzhou
3   4   Lucy  35  female   Shenzhen

在上面的代码中，首先创建了两个DataFrame数据df1和df2，其中df1包含了id、name和age三个字段，df2包含了id、gender和city三个字段。

然后使用merge()函数将两个DataFrame数据按照id字段进行合并，合并后的结果包含了id、name、age、gender和city五个字段。

最后通过print()函数输出合并后的DataFrame数据。