Your English writing platform
Discover LudwigExact(4)
The results of the best hydraulic section of the classic parabolic channel cannot be applied directly to the HBC section.
The comparisons with the classic parabolic, rectangular, trapezoid, triangular, semi-cubic and horizontal-bottomed semi-cubic sections show that the HBP section has the largest flow capacity and the shortest wetted perimeter for the same flow area, and has the smallest flow area for the same discharge.
The chart of the NYSE Biotechnology Index below shows how the sector experienced a classic parabolic rally that is a hallmark of speculative bubbles.
The typhoon followed a classic parabolic track around the periphery of the subtropical ridge east of Japan, weakening back into a tropical storm on September 7. Rapid extratropical transition occurred as Bill interacted with the main belt of the Westerlies, and by midnight, Bill became an extratropical cyclone.
Similar(56)
An overall dominance was obtained from the present work, as compared to the classic concave parabolic profile, the practical constraint in fabrication taken into consideration.
An exact, closed-form relationship correlating the generalised stress intensity factors of classic notches (parabolic, semi-elliptic and hyperbolic), characterized by an exact mathematical profile, and pointed V-notches is obtained by using in combination the analytical expressions already available in the literature and some new equations developed in the present contribution.
Results indicate that the area and wetted perimeter are less than those of trapezoid and classic semi-cubic parabolic sections for a given flow discharge.
Classic, classical.
For optimal control problems governed by classic linear PDEs such as elliptic, parabolic and hyperbolic equations, the existence and the optimality conditions are well known, see [10].
We show that there is a heat kernel Wt x,y) associated to the parabolic equation wut= divA∇u, and Wt satisfies classic Gaussian bounds:∣∣∣Wt x,y)∣∣∣⩽C1tn/2exp −C2|x−y|2t).
For classic linear PDE-constrained optimal control problems (OCPs), such as elliptic, parabolic, and hyperbolic equation constrained OCPs.
Write better and faster with AI suggestions while staying true to your unique style.
Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com