Comments URL: https://news.ycombinator.com/item?id=48991518

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Comments URL: https://news.ycombinator.com/item?id=48967222

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https://products.aspose.ai/pdf/form-generator

which generates LaTex from headings, paragraphs and other document controls. And it also generates formulas from descriptions. I copied some text from my article and got a fully functional LaTex with formulas:

Fundamental Theorem of Calculus

The Fundamental Theorem of Calculus links differentiation and integration. It consists of two parts:

If f of x is continuous on the interval [a, b] and F of x is its antiderivative, then:

integral from a to b of f of x with respect to x equals F of b minus F of a.

If F of x is defined as an integral function:

F of x equals integral from a to x of f of t with respect to t,

then F of x is differentiable, and its derivative is the original function:

d by dx of F of x equals f of x.

Taylor Series Expansion

A function f of x can be expressed as an infinite Taylor series around x equals a:

summation from n equals zero to infinity of (nth derivative of f at a) divided by (n factorial) times (x minus a) to the power of n.

For example, the Taylor series expansion of e to the power of x at x equals zero is:

summation from n equals zero to infinity of (x to the power of n) divided by (n factorial), which expands as 1 plus x plus (x squared divided by 2 factorial) plus (x cubed divided by 3 factorial) and so on.

Complex Line Integrals

In complex analysis, contour integrals play a crucial role. The contour integral of a function f of z along a curve C is given by:

closed contour integral along C of f of z with respect to z.

A key result is Cauchy's Integral Formula:

f of a equals (1 divided by 2 pi i) times the closed contour integral along C of (f of z divided by (z minus a)) with respect to z,

which holds if f of z is analytic inside and on C, and a is within C.

https://products.aspose.net/pdf/chat-gpt/

At glance I see it supports some advanced features:

Automatic detection of multiple languages. Batching requests for reduce LLM API call frequency to lower operational costs.

https://marketplace.visualstudio.com/items?itemName=Artifici...

Previously I used OneNotes, but git is better to works from 5 my workstations with collisions.

elinks https://github.com/arise-project

then

https://products.aspose.app/pdf/conversion/pdf-to-txt

Makes the layout of the space for the text