# Tag Info

1 vote

### Irregularly Deposited Compound Interest

Consider an interval, over which a newly-deposited balance of $b$ accrues an interest amount $i$. Why? Let's crunch some numbers! And now, a simple program: invest(balance, interest rate, time) ...
1 vote

### Irregularly Deposited Compound Interest

Observation: Let's for the moment assume we know the optimal number of transfers and need only optimise the timing. Freezing all but one transfer (#k, say) we find that its best timing $t_k$ only ...

### Nimber mnemonic combinatorial puzzle

There are 384 solutions. Here's one: I used integer linear programming as follows. Let $$P=\{a, b, c, d, e, f, g, h, i, j, k, l, m, n, o\}$$ be the set of positions, where position $o$ must take ...

### Irregularly Deposited Compound Interest

Not sure if I'm right here, but this is my best solution. First of all, in my solution: So, with that, I came up with the following formula: Since I wasn't able to think of a way to expand that ...
Accepted

### Minimum function optimization puzzle #4: Using negative numbers?

It can be done in

### Rearrange words to make a sentence

no triangle has more than two angles which are not less than seventy degrees

### Mishustin's circle problem

A fairly simple solution is to place the compass on the point, and draw a circular arc (of arbitrary diameter) which intersects the diameter (possibly extended, or "produced", to use the ...
Accepted

### Mishustin's circle problem

Here's my go (click to embiggen) Steps: Connect A to P and pick an arbitrary point Q between them, near-ish to P. Then, draw lines as shown, constructing the points in alphabetical order, which ...

### Mishustin's circle problem

Note: This is not a valid answer, given the poster's clarification on what the straightedge is capable of. I'm leaving it up because I think it's interesting. I found a way to solve this, based on ...
Accepted

### Rearrange words to make a sentence

Yet another solution: In other words:

### Rearrange words to make a sentence

Another take: This is true since
Accepted

### Minimum function optimization puzzle #3: 3 functions

A short program in R confirms @DanielMathias answer. You can try the code here. The code in text: (not showing correctly because of characters '<' and '>') ...
Accepted

### Minimum function optimization puzzle #3: 3 functions

The minimum number of steps is With the sequence My approach: work backwards from the goal. The final step must be Apply the inverse of h(x) repeatedly and look for values that are near a square. ...

### Counting puzzle #1: Function combinations

Computerless solution There are in the set S. Let's first of all consider Well, actually Anyway, we aren't done yet, because We now have Now we need to augment our list by We're still not quite ...
1 vote
Accepted

### Counting puzzle #1: Function combinations

Programmed solution: These numbers are listed below, along with the function that produces them. C code to identify and count the numbers: ...
1 vote

1 vote
Accepted

### Minimum function optimization puzzle #2

We can reuse the strategy from the previous question.
1 vote

### Minimum function optimization puzzle #2

This is going to take more words than I would like.

### What is the probability that your life will have lasted for 100 years once you die?

90% of people live for 3 years, and 10% live for 100 years. So, at any given moment, if a 3yr old 'dies' they will be replaced with a new 'to be 3yr old' because the stat of 90% must be constant. ...
Accepted

### Is my solution to a mathematics puzzle I created the most efficient solution there is to it?

Let's see what an optimal path would look like. For starters,

### What is the probability that your life will have lasted for 100 years once you die?

Assumptions: New assumption based on comment below Answer: On a side-note:
1 vote

### What is the probability that your life will have lasted for 100 years once you die?

I will attempt a conversion to the sleeping beauty paradox. Current post -> sleeping beauty: ...

### What is the probability that your life will have lasted for 100 years once you die?

The frequentist answer to this question is This is because