joshuaheckroodt

### Questions (107)

 35 Is there an intuitive way of visualising complex roots? 10 Why is the dot product of two vectors defined the way in which it is? [duplicate] 8 Which branch of mathematics rigorously defines infinitesimals? 7 How important are the role of asymptotes in a hyperbola? 5 How many distinct triples of non-negative $\lbrace{x,y,z\mid x,y,z\in \mathbb Z\rbrace}$ satisfy $2x+y+z=16$?

### Reputation (2,420)

 +20 Why can I solve an impossible equation using linear algebra? +10 Which one is fundamental to the other between abstract algebra and linear algebra? (soft question) +10 Proof verification of the integral of two functions who are equal everywhere apart from a finite number of points +10 If $f,g$ differ at only a finite number of points, then their lower Riemann integrals equate (proof verification).

 23 Why can I solve an impossible equation using linear algebra? 4 How to simplify $\frac{3x^2+5x-2}{6x^3-17x^2-4x+3}$? 4 How can $\displaystyle \frac{d}{dx}x^n=nx^{n-1}$ proved without using first principles? 3 What does “approach zero” really mean? 2 Solving, a Square with broken diagonal: $AB=x$?

### Tags (98)

 23 linear-algebra × 9 3 calculus × 19 5 proof-writing × 6 3 algebra-precalculus × 5 4 derivatives × 17 3 definition × 3 4 fractions × 2 2 combinatorics × 7 4 rational-functions 2 functions × 5

### Bookmarks (5)

 2 Show that $\frac{d^{n}}{dx^{n}}\left[ x^{n-1}f\left(\frac{1}{x}\right)\right]=\frac{(-1)^{n}}{x^{n+1}}f^{(n)}\left(\frac{1}{x}\right)$ 2 Which one is fundamental to the other between abstract algebra and linear algebra? (soft question) 0 Set of calculus problems for solidifying understanding 0 Solutions of the trigonometric funtion 0 A question on summation notation and pi notation for multiplication.

### Accounts (7)

 Mathematics 2,420 rep 99 silver badges2828 bronze badges Physics 144 rep 88 bronze badges Cross Validated 113 rep 33 bronze badges Stack Overflow 103 rep 33 bronze badges Mathematics Educators 101 rep 11 bronze badge