Who taught you? I taught myself, sir, by looking at books and newspapers, matching the words to sounds I knew. You expect us to believe you simply taught yourself to read with no instruction? I don't expect anything, sir. You asked me a question, and I answered it truthfully.
There was something in her tone, not quite defiance, but an absence of the submission that Thorne expected from Black children. His jaw tightened slightly. Can you write? Yes, sir. Demonstrate. They provided her with paper and pen.
Lydia wrote her name, then a sentence Thorne dictated. The examination of racial characteristics requires objective scientific methodology. Her handwriting was careful, slightly cramped. The letters formed with precision, if not elegance. Thorne examined the paper, then passed it to his colleagues.
Adequate, he said dismissively, as if grudging even this minor acknowledgement. Now we will proceed to mathematical assessment. Dr. Cartwright will present the first problem. Cartwright was younger than Thorne, perhaps 40, with the bland handsomeness of someone who had never encountered serious opposition to his views. He opened his own folder, selected a page, and read aloud, "A train leaves Boston, traveling west at 40 mph.
Two hours later, a second train leaves Boston, traveling west at 60 mph. How long will it take the second train to overtake the first? It was a problem that any decent student of algebra could solve. The kind of question designed to establish baseline competence, Lydia answered before Cartwright finished reading. 4 hours, Cartwright blinked.
You need to show your work. The first train travels for 2 hours before the second train starts covering 80 miles. The second train is 20 mph faster, so it closes the gap at 20 mph. 80 divided by 20 equals 4 hours of travel time for the second train. So the second train overtakes the first 4 hours after it departs.
Cartwright checked his notes. That's correct, but you should write out the equations. If you want me to write them, I will, sir. But you asked for the answer, and I gave it to you. The examination continued for the next hour, progressing through increasingly difficult mathematics, algebra, geometry, trigonometry, calculus.
Each time, Lydia would listen to the problem, sometimes ask for clarification of what exactly they wanted her to find, then provide the answer with minimal delay. The panel began glancing at each other, the kind of looks that pass between people who are witnessing something they can't quite process. Webb watched Thorne's expression shift from confident superiority to confusion to something darker. Anger perhaps or fear.
Around the second hour, Thorne took over the questioning directly. These are parlor tricks, he announced. Memorization and training. The girl has been coached to perform these calculations. We need to test genuine understanding, not rote responses.
He withdrew a different set of papers. problems he'd prepared specifically for this examination. Complex theoretical questions that couldn't be solved through memorization because they required real understanding of underlying principles. Here is a problem in advanced mechanics. A bridge span of 200 ft is supported by cables arranged in a parabolic curve. Given the following specifications for cable tension, deck weight, and load distribution, calculate the maximum safe load the bridge can support under sustained wind pressure of 30 mph.
He read out a series of specifications, numbers, and measurements that would take even a trained engineer time to organize and understand. Lydia listened, her eyes tracking slightly as if following invisible calculations in the air in front of her. Sir, I need to clarify something before I answer. What are you asking for? Theoretical maximum load based on the cable specifications alone or practical maximum load accounting for deck stress distribution and connection point failure risks.
Thorne stared at her. Explain the difference. The cables themselves might be able to support a certain weight, but if that weight is distributed unevenly, or if the connection points where the cables attached to the deck aren't reinforced properly, the bridge will fail at a lower load than the cables alone could theoretically handle. Engineering isn't just about individual components. It's about how systems interact.
So, which calculation do you want? The question demonstrated understanding that went beyond simple mathematics. This was systems thinking, the ability to see how multiple factors interacted, the kind of conceptual sophistication that separated competent engineers from brilliant ones. Both, Thorne said finally, give me both calculations. Lydia closed her eyes for perhaps 30 seconds, her lips moving slightly as if speaking to herself.
Then she opened them and began to recite numbers, explaining her methodology as she went, describing how she was visualizing the bridge structure, how she was accounting for force distribution, how she was calculating stress factors at critical points. She provided two numbers, one for theoretical maximum based on cable strength alone, another lower number for practical maximum accounting for system vulnerabilities. The panel sat in stunned silence. Finally, Hamilton from Harvard spoke up. Dr. Thorne, do you have the solutions to these problems?
Of course. Are her answers correct? Thorne checked his notes, taking longer than necessary, clearly hoping to find an error. His face darkened as he compared Lydia's answers to his own calculations. The first answer is correct.
The second answer uses a methodology I hadn't considered but appears to be valid. Appears to be. Webb couldn't stay silent any longer. Either the mathematics is sound or it isn't. The mathematics may be sound, but that doesn't prove she derived it independently.