And here we go... Windflower pattern from Nim, available via Ravelry (https://www.ravelry.com/patterns/library/windflower-9) cast-on to 4.0 mm needles. Yarn is Lichen and Lace's _Marsh Mohair_ in Sage colourway (https://www.lichenandlace.com)

Up to row 17. The pattern has a couple of sections which can be repeated, rough calculations suggest 252 rows with all the optionals. I will calculate sts another time - I may be a lot older when I complete this.

EDIT: replaced link to pattern

#knitting #WIP #lace #semicircle #shawls

13 years and I’ve only just noticed this: I would never describe the shape of ice that comes out of my refrigerator (which does look like the icon) as “cubed” https://flic.kr/p/2pGsRcK

#icon #symbol #ice #fridge #refrigerator #shape #cube #semicircle

JORDAN'S LEMMA
Jordan’s lemma explains the behaviour of a contour integral on the semicircular upper arc and is frequently used along the residue theorem to evaluate such integrals.

Consider the upper semicircle \(C_R=\{Re^{i\theta}|\theta\in[0,\pi]\}\) and a continuous function \(f:C_R\to\mathbb{C}\). If \(f(z)=e^{i\lambda z}g(z)\) for some function \(g\) and \(\lambda\in\mathbb{R}^+\), then the contour integral is bounded.
\[\displaystyle\left|\int_{C_R}f(z)\ \mathrm{d}z\right|\leq\dfrac{\pi}{\lambda}M_R\ \text{where } M_R:=\max_{\theta\in[0,\pi]}\left|g(Re^{i\theta})\right|\]

#Jordan #JordanLemma #Lemma #Semicircle #ContourIntegral #ResidueTheorem