Equipped with the right applications, a computer can be of great help in virtually any domain of activity. When it comes to designing and precision, no other tool is as accurate as a computer. Moreover, specialized applications such as AutoCAD give you the possibility to design nearly anything ranging from art, to complex mechanical parts or even buildings.
Suitable for business environments and experienced users
After a decent amount of time spent installing the application on your system, you are ready to fire it up. Thanks to the office suite like interface, all of its features are cleverly organized in categories. At a first look, it looks easy enough to use, but the abundance of features it comes equipped with leaves room for second thoughts.
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Similar to a modern web browser, each project is displayed in its own tab. This comes in handy, especially for comparison views. Moreover, layouts and layers also play important roles, as it makes objects handling a little easier.
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All in all, AutoCAD remains one of the top applications used by professionals to achieve great precision with projects of nearly any type. It encourages usage with incredible offers for student licenses so you get acquainted with its abundance of features early on. A lot can be said about what it can and can't do, but the true surprise lies in discovering it step-by-step.
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Q:
Complex Rotation and tangent
I’m struggling to understand this problem.
The solution is:
And this is what I get:
I’ve done some tests with complex values:
N[Im[ArcTan[3 I + 2 I π/3]], 20]
(* 0.842649 + 1.73016 I *)
N[Im[ArcTan[3 I + 2 I π/3] – 2 π I/3], 20]
(* -0.842649 – 1.73016 I *)
N[Im[ArcTan[3 I + 2 I π/3] + 2 π I/3], 20]
(* -0.934374 + 1.28659 I *)
And I can’t find any pattern.
A:
To clarify the above comment by @PolyGeo: it is not strictly speaking correct to say
$$\arg\tan(\alpha+i\beta)=\arg\tan(\alpha)+i\arg\tan(\beta)\tag{1}$$
since $(1)$ holds only for complex $\alpha$ and $\beta$. What we have in fact is a more general property, which tells us that
$$\operatorname{Im}\left(\arg\tan(z_1+iz_2)\right)=\operatorname{Im}\left(\arg\tan(z_1)\right)+i\operatorname{Im}\left(\arg\tan(z_2)\right)\tag{2}$$
where $z_1$ and $z_2$ are arbitrary complex numbers.
Note that it is also important that the argument of the complex number $z$ be defined, for if we were to consider $\arg\tan(2+2i)$, the argument of $2+2i$ is undefined. This is the case in the OP’s example, because the argument of $\tan$ is not defined at $3+2i$. In general, it
What’s New In?
Print preview, which enables you to view, edit and update your objects in a similar way to the way you interact with files on your computer.
Markup Assist can help speed up the process of incorporating your feedback into your design. If you’re constantly making changes to your design, Markup Assist can help you with that by adding notes and comments to your model. (video: 3:00 min.)
Autodesk recently enhanced its editing experience to support the work of designers, engineers and architects, who are making drawings every day. It’s no surprise that the company constantly evaluates its software for improvements, as evidenced by the products released this year and by the latest innovations you’ll see in AutoCAD 2023.
Read on to see what’s new in AutoCAD 2023, and visit autodesk.com/autocad for more information.
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Autodesk is proud to announce AutoCAD 2023, the first release of the next generation of the company’s flagship drawing program.
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New interaction technology for improved drafting experience
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AutoCAD Viewport Snapshot lets you see all dimensions of a room and dimensions relative to other drawings
AutoCAD Export Settings lets you control the export options for your drawing
Canvas Creation and View Creation allows you to create predefined wall and ceiling styles
New panel controls with a new graphical style
New display options let you easily share your drawings on Facebook and Twitter
Live Link™ technology for a more interactive way to exchange drawings and data across platforms
New optimized print engine with higher resolution, increased detail and new features
Our platform is on the move
In addition to the enhancements in AutoCAD 2023, we’re continuing to advance our technology and make it easier to work with AutoCAD. These advancements include:
Cloud-based version of AutoCAD: As part of the cloud computing movement, the Autodesk Cloud for AutoCAD is now available to current AutoCAD subscribers. You can begin using the cloud services today. Find out more at autodesk.com/cloud-autocad
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Minimum:
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Memory: 6 GB RAM
Graphics: NVIDIA GeForce GTX 480 or ATI Radeon HD 4870 or HD 5xxx
DirectX: Version 9.0
Network: Broadband Internet connection
Recommended:
Processor: Intel Core i5
Memory: 8 GB RAM
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