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# All Posts by Math Vault

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Math Vault and its Redditbots has the singular goal of advocating for education in higher mathematics through digital publishing and the uncanny use of technologies. Head to the Vault for more math cookies. :)

## Modular Arithmetic — Some Advanced Tricks in Finding The Least Positive Residue

We got a least-residue question from David a few weeks ago, but never took the time to address it properly. While procrastination and busyness can take a toll on us, at some point one still needs to face the reality and get things done promptly (don’t you think, students? 😉 ). OK. Enough said. Here’s […]

## Solve The Following System of Linear Equations With An Additional Parameter

Today, Connor asked the following question involving a system of linear equation with an additional parameter: Given that $x_1 + hx_2 = 4$  and $3x_1 + 6x_2 =8$, find all pairs of the form $(x_1,x_2)$ satisfying both equations. OK…What do we do with that additional $h$? Well, read on!

## Solving the Triangle with A=30°, b=40, and a=10

We got asked this trigonometry question, which we immediately converted into drawing for better readability. Before we begin, what does it mean to solve a triangle? Well, it’s just a short way of saying finding all the missing side lengths and angles of a triangle. So how on earth do you solve this triangle, with only […]

## Given a bunch of boxes and balls, what is the chance that randomly dropping the balls will fill all the boxes?

Carl asked the following discrete-math-style probability question: $N$ balls are randomly dropped into $k$ boxes $(k \le N)$. What is the probability that all boxes are filled? Want to know the answer? Here it is!

## Logarithmic Inequality — How do I solve this: Log base 0. 3 (x^2+8) > log base 0. 3 (9x)?

Subham asked the following question involving a logarithmic inequality: Solve $\log_{0.3} (x^2+8) > \log_{0.3} (9x)$. And here is our answer:

## Upcoming McGill MGCR 273 Review Session

Hi guys. There is an upcoming MGCR 273 review session coming up. Here is what we will be working on: Sample final from Winter 2012 (the 2nd half) Any fictitious question that we can come up with that might be helpful to the students The session will be held in Redpath Library RM-19C (in the Redpath […]

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