Ask them the following questions and see their response, you will be surprised!
- What is Noether theorem?
- What are Quaternions and how are they related to Pauli matrices?
- What is the relation between Eucledian geometry, affine geometry, inversive geometry and projective geometry?
- Is \( \sqrt{(1)^2}= 1\) ? Is \( \sqrt{(-1)^2}=-1 \) ? \( \sqrt{(1)^2} = \sqrt{1} = \sqrt{(-1)^2} \), so 1 = -1. Is that right?
- Prove that \( e \) is transcendental?
- How are real numbers defined?
- What is the value of \( i ^ i \)? What is the value of \( i ^ {\sqrt{2}}\)?
- Explain Lebesque integration / measure theory to a smart grade 10 student?
- What is the volume of a sphere in a n-dimensional world?
- What are Godel incompleteness theorems?
- Calculate \( \sqrt{32041} \) without using a calculator or guessing? We teach our grade 7 kids this method!
- What is Feynman-Kac formula and how is it related to financial derivatives pricing?
- What is Hamilton Jacobi Bellman equation?
- What is the Green’s function for the heat equation in 1D?
- Write down the Einstein’s field equations and an exact black hole solution of it?
- Derive the shapes of orbitals (s, p, d, f) of hydrogen atom from quantum mechanical Schrodinger equation?
- Write the structure of D-glyceraldehyde?
- How many chiral centers are present in tetracycline?
- If I had had enough money, I would have gone to Paris. Is this sentence wrong and why?
- What are gerunds and infinitives?
Most test prep company founders have minimal or no academic qualifications, have at the best a masters degree and/or are graduates of second-rated universities. ClarityEd is founded by a professional academician who is #1 university graduate, PhD and top university professor. For more details, please see ClarityEd Leadership.
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