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.../math> is the flux surface label and <math>\theta, \phi</math> are <math>2\pi</math>-periodic poloidal and toroidal-like angles. = \frac{d\psi}{d V}\int_0^{2\pi}\int_0^{2\pi}\Phi\; \sqrt{g} d\theta d\phi

...reduced resolutions. After installation and out-of-window focusing, He and PI recordings in the plasma are required before the experimental sessions. .... We intend to investigate how impurity injection by LBO immediately after PI affects transport.

...chi = \frac{I_{tor}}{2\pi}\mathbf{B}\cdot\nabla\theta + \frac{I_{pol}^d}{2\pi}\mathbf{B}\cdot\nabla\phi + \mathbf{B}\cdot\nabla\tilde\chi~. \mathbf{B}\cdot\nabla\tilde\chi = B^2 - \frac{1}{4\pi^2\sqrt{g}}\left(I_{tor}\Psi_{pol}' + I_{pol}^d\Psi_{tor}' \right)~,

\frac{-I'_{tor}\Psi'_{pol} + I'_{pol}\Psi'_{tor}}{4\pi^2\sqrt{g_f}} :<math>(-{I}'_{tor}{\Psi}'_{pol} + {I}'_{pol}{\Psi}'_{tor})= 4\pi^2{p}'\langle(\sqrt{g_f})^{-1}\rangle^{-1} = p'V'~.

...le_P}{B_\theta^2(a)} = \frac{2 \pi \int_0^a{B_\theta^2(\rho) \rho d\rho}}{\pi a^2 B_\theta^2(a)}</math> Using Ampère's Law (<math>2 \pi a B_\theta(a) = \mu_0 I</math>), one obtains <ref name="Freidberg"/>

...of core turbulence is reduced strongly for a short time scale (1 ms) after PI, this being followed by an increase in the evolution of plasma density and ...uations with the same system. Measurement of edge plasma turbulence during PI with Langmuir probes.

...ar [[tokamak]], the [[Toroidal coordinates|poloidal circumference]] is ''2&pi;r''. The connection length is <math>L = 2\pi r/\sin(\alpha)</math>,

The rotational transform (or field line pitch) ''&iota;/2&pi;'' is defined as the number of poloidal transits per single toroidal transi :<math>\frac{\iota}{2 \pi} = \frac{d \psi}{d \Phi}</math>

...ed on the volume ''V(&psi;)'' enclosed in a flux surface (using ''V'' = 2 &pi;²''Rr''_eff²) * Based on the surface area ''S(&psi;)'' of a flux surface (using ''S'' = 4 &pi;²''Rr''_eff)

PI Checks: We will require some time at 9 am to check out and condition the PI.

...diamagnetic energy content up to 40% higher to in reference shots without PI. Moreover, the energy confinement time, as determined using a diamagnetic l

...IEC (NBI) compared to density evolution without a confinement enhancement (PI in ECRH).

|Rotational transform, ''&iota;/2&pi;'': || 0.9 - 2.5 || * [[TJ-II:Pellet injector|Pellet injector]] (PI)

...eliac TJ-II will be used. It is equipped with a cryogenic pellet injector (PI) for producing solid hydrogen pellets that can be injected at high velocity The PI and TESPEL systems on TJ-II share a common injection guide lines. This uniq

...ta ^{3}(\vec R - \vec R_p)\delta(v_{||} - v_{||p})\delta(\mu - \mu_p) /(2 \pi B),

:<math>s_{\rm local} = 2 \pi \vec{h} \cdot \vec{\nabla} \times \vec{h}</math>

...oordinate <math>\eta</math> is a poloidal angle and runs from 0 to <math>2\pi</math>.

|Rotational transform, ''&iota;/2&pi;'': || 5/6-5/4 ||

:<math>p(y|x) = \frac{1}{\sqrt{2\pi \Delta y^2}}\exp \left ( -\frac{(y-y_0)^2}{2\Delta y^2}\right )</math>

...u = \left ( \frac{qq^*n^*}{\varepsilon_0 m}\right )^2 \frac{\ln \Lambda}{4\pi (m_r/m)v^3n^*}</math>