A product of two of these expressions is scaled by the Jastrow correlation factor. CAS methods construct an active space spanned by “m choose n-up” times “m choose n-down” of these expressions. Heiter and London defined as a bond in modern VBT as the difference between two of these expressions denoted “a, b-overbar” and “a-overbar b.” These expressions do not form an eigenbasis of S-hat-squared but are still used to construct excitations in multi-reference (*) CI. Just one of these multi-term expressions, normalized by one-over-root N-factorial, approximates a high-N wavefunction in Hartree-Fock by ensuring the probability vanishes when two orbitals match. For 10 points, the exchange antisymmetry of multi-electronic wavefunctions is guaranteed by what expressions, which involve an operation performed on square matrices? ■END■
| 2025 Chicago Open | 2025-08-09 | Y | 12 | 75% | 0% | 25% | 101.44 |
| Player | Team | Opponent | Buzz Position | Value |
|---|---|---|---|---|
| Billy Busse | BHSU B | Woke Michael Du be like "I'm a genders player" | 80 | 10 |
| Kevin Wang | I worship the Pyramid (abandoned Soviet coal mining settlement on the Norwegian archipelago of Svalbard) | Broken Socal Scene | 84 | 10 |
| Vivek Sasse | "Real quiz bowl" only consists of the ACF academic pyramidal scene and the late 2010s NAQT scene. | Please sir, may I have some morb? | 84 | -5 |
| Andrew Wang | BHSU X | The RAND Coöperation | 84 | 10 |
| Joy An | "real numbers are uncountable" factoid actually just statistical error. diagonal georg | Enjoying the Hole Experience | 84 | -5 |
| Munir Siddiqui | Big is moving to Evanston! | No, explaining that your buzz came from watching an isekai is not "Proustian" | 94 | 10 |
| Eric Mukherjee | Floridovician | 8, 8, 8, 8, 8, 8, 2k5, RNBQKBNR b Q - 99 66 | 105 | 10 |
| Jeremy Cummings | It's not X, but... defenders | Halifax Shipping Services | 105 | -5 |
| Jerry Vinokurov | The Met on Laserdisc. Bravo! | Will They Ever Finish Bruckner’s Ninth Boulevard? | 110 | 10 |
| Iain Carpenter | Thamos, King of Egypt: The Sahara of the Mozart | One Microscopic Pog in His Chat-astrophic Plan | 113 | 10 |
| Shahar Schwartz | Li Bai Chocolate Mushussu Pacha Latte | Mumbo Jumbo Will Labubu | 121 | 10 |
| Azura Gollamudi | Do re mi fa serving negs | The True Dharma Eye of the Juan Soto School | 122 | 0 |
| Adam Fine | Halifax Shipping Services | It's not X, but... defenders | 122 | 10 |
| Kevin Peng | Please sir, may I have some morb? | "Real quiz bowl" only consists of the ACF academic pyramidal scene and the late 2010s NAQT scene. | 122 | 0 |
| Dan Ni | Enjoying the Hole Experience | "real numbers are uncountable" factoid actually just statistical error. diagonal georg | 122 | 0 |