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### How to deal with loss of significance in the case $f(x) = \sqrt{x+2} -\sqrt{x}$?

I would like to evaluate the expression $f(x) = \sqrt{x+2} -\sqrt{x}$ with cases when $x = 3.2 \times 10^{30}$ and $x= 3.2 \times 10^{16}$. I tried using ...
78 views

### Quadratic form for specific formula as matrix reprezentation

So I have problem for specific formula to create Quadratic_form form from $$y = 3 + x_1 - 2 x_4 + 2 x_3 x_4 + x_2 (-x_3 + x_4)$$ as matrix \begin{bmatrix} 1 & 0 & 0 & 0 \\ ...
54 views

### Dots at points of discontinuity

So, I got this code: Plot[Piecewise[{{3, x <= 0}, {x^2 + 1, x > 0}}], {x, -2, 2}, PlotStyle -> {Purple}, Axes -> False, Frame -> True] and I ...
41 views

### Problem with antiderivative which involves DiracDelta

Let us execute in version 12.0 Integrate[DiracDelta[x]*DiracDelta'[x], x] DiracDelta[x]^2/2 and this lasts at least since version 7. However, the ...
27 views