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
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Create 2D and 3D objects
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To end with
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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AutoCAD is a multi-platform, multi-user and multi-user network CAD application. The most recent version is AutoCAD 2015 (other AutoCAD products include AutoCAD LT and AutoCAD Architect), and it is the de facto standard for 3D modelling for architects and other professional users.

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Q:

Easy way to calculate the $I_1$ invariant of the elliptic fibration $y^2z=x^3+g_4(t)z^2$

I am trying to calculate the modularity $I_1$ invariant of an elliptic fibration $y^2z=x^3+g_4(t)z^2$. From the SAGE code on page 116 of my notes:
f=Polynomial(1)
Y=W./
I=I_1(Y)

I gets a value of $1$.
Now, from the page 117, it says that the $I_1$ invariant of this fibration is $2$ (beware of the typo, as $g_4$ is supposed to be $g_3$) if we can eliminate $g_3(t)$ via the Weierstrass equation.
What is the easiest way to accomplish this? The equation is
$y^2=x^3+g_3(t)z^2+g_4(t)z^3$.

A:

I’m not sure about this but I guess that if $f(t)$ is monic and irreducible in $\mathbb Z[t]$ then the quotient is regular (i.e., smooth and projective).
The singular locus will be the locus of the Weierstrass equation and there is always one ($0$) with multiplicity at least $3$.
After that I’m not sure about anything. Maybe the statement is true but there are (inexplicable) reasons not to use the Weierstrass equation in this case (the discriminant, the invariant $\delta$ is not linear in $g_3$ so perhaps something else is involved). I’d like to see the statement or at least a reference where this invariant is calculated.
Edit: This is a complete answer.
Let $C_t$ be the singular curve of $Y$ (and $W$) for a given $t$. This is a plane curve of degree $4$ and genus $1$.
Since $g_3(t)$ is monic and irreducible, the monic polynomial in $\
3813325f96

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What’s New In AutoCAD?

AutoCAD Classroom Online:

Join thousands of users for online seminars and private instruction. Learn to design and create more with 3D modeling, industry-specific applications and industry best practices. (video: 2:25 min.)

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Watch a short video showing off AutoCAD 2023’s newly redesigned applications, including a sneak peek of AutoCAD Web App.

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AutoCAD LT 2023:

AutoCAD LT 2023 takes the intuitive, user-friendly features of AutoCAD LT 2019 and continues to offer an advanced, yet easy-to-use user interface that runs on a variety of platforms, including Windows, Mac, and Linux.

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Rendering for a new style based on materials.

Newly enhanced topology tools, including windsurfing and 2D spline segmenting tools.

Analyze design alternatives and create your own design history.

Easily control how many layers can be open at once.

Use a new tool to easily create custom paths and envelopes.

Easily reference existing and new projects.

Accessing, displaying, and printing drawings is much easier.

Industry-specific functionality and enhancement includes:

MEP/Civil

HVAC, Plumbing, and Electrical

Architecture

Mechanical

Refresh to the newest version of AutoCAD and AutoCAD LT:

AutoCAD Classic 2016 or earlier:

The free updates are available for existing users of AutoCAD Classic 2016 and earlier and will be downloaded to your workstation as a set of updates. For updates, run AutoCAD Classic 2016 Setup Manager to determine which updates are available.

AutoCAD LT 2016 or earlier:

The free updates are available for existing users of AutoCAD LT 2016 and earlier and will be downloaded to your workstation as a set of updates. For updates, run AutoCAD LT 2016 Setup Manager to determine which updates are available.

Autodesk, AutoCAD, Autodesk Inventor, Autodesk Revit, and other product and company names are trademarks or registered trademarks of Autodesk, Inc., in the United States and other countries.

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