A variant of the Bessel functions named for this adjective is proportional to "J-sub-nu plus a half" of z, all over the square root of z. This is the first word in the name of a class of functions whose definition may contain a power of negative one per the Condon-Shortley convention. Functions arising from solving Laplace's (luh-PLOSS-ez) equation in which an exponential term multiplies a Legendre (luh-ZHAHN-druh) polynomial are called this kind of "harmonic." A volume element involving the term "r squared sine theta" arises in a system named for this adjective that uses radial, polar, and azimuthal coordinates. This adjective names a type of symmetry of three-dimensional systems that look the same from any orientation. For 10 points, give this adjective pertaining to a shape whose surface area is 4 pi times its radius squared. ■END■
| Player | Team | Opponent | Buzz Position | Value |
|---|---|---|---|---|
| Adam Smith | California | Liberia | 72 | 10 |
| Jason Qin | Illinois White | Virginia | 73 | 10 |
| Ace Chun | Maryland Red | New Jersey B | 86 | 10 |
| Ethan Furman | Pennsylvania | Missouri B | 90 | -5 |
| Shreyas Singh | Illinois Orange | Kentucky A | 90 | 10 |
| Devam Mondal | New Jersey A | Ohio | 92 | -5 |
| Anurag Sodhi | Maryland Gold | Missouri A | 120 | 10 |
| Kheng Hshin Wong | Asia B | Kentucky B | 133 | 10 |
| Rohan Navaneetha | Ohio | New Jersey A | 134 | 10 |
| Owen Arneson | Missouri B | Pennsylvania | 135 | 10 |