Recent content by jing2178

Is there an estimate of how long after the big-bang could a solar system similar to ours (ie star and orbiting planets) have first existed?

As a mathematician you probably like graphs. There does appear to be a cycle of emotional responses to change. Particularly ones that are as dramatic as your accident and your grief over your perceived loss of mathematical ability. This is the Kubler/Ross Graph of emotional responses over time...

At the time you had your accident it was impossible for anyone, including yourself, to predict how good your future self would be at solving mathematical problems or even how committed you would remain to mathematics - there are many different distractions in the world. It is now still...

Not so sure that you can just say they are two notations for the same function. You can define $$\sqrt(x)$$ as that number when multiplied by itself is $$x$$, ie square root is inverse of squaring. However when dealing with powers you cannot just say well $$x^{\frac{1}{2}}$$ is a new...

It could have developed that arithmetic was calculated from left to right so that 2 + 3 * 5 = 25 and to show that the multiplication needed to be done first then you would write 2 + (3 * 5) = 17 So why not this and why multiplication first? Mathematics did arise from the physical world...

We all know that 12/25 + 18/30 is not 30/55 yet students are happily told that they got 12 out of 25 in their first maths test and 18 out of 30 in their second maths test giving a total of 30 out of 55 So in this case 12/25 and 18/30 is 30/55 So should we be surprised when students say...

The order of operations does make sense in the physical world. In your example there are 9 apples and 3 apples are taken away before the apples are shared between 2 people. Thus the subtraction 9 apples take away 3 apples to give 6 apples is done first then the 6 apples are shared between the...

Looks good to me

What do you know about sin(x), cos(x) and tan(x) when x is very small?

Equation 1 t missing vAsin(30)t - \frac{9.81}{2}t2 = 0 Equation 2 to stop confusion with cos(30t) vAcos(30)t = 25

Thank you that is useful. As it is still a 2D representation of the line I think I will need to look at the projection of the line (and hence pixels) on boundary lines parallel to the axes.

The source of this question is an unanswered question at stackoverflow but I believe is more mathematical than computational. My question arising from this is. You have a two dimensional array of numbers, each element of the array is represented by a square box. The boxes arranged into a...

You have found the first term is 105, the next is 105+7, the next 105+2*7, the next 105+3*7 You have an arithemtic sequence. Where a0 is first term, an the nth term, an-1 last term, n the number of terms and d the common difference a0=105 an-1 = 994 d=7 an = a0 +(n-1)d use this to...

Same thing really 5x + 8x + 4x = 17x add the x's 5x + 8x + 4X =(5 + 8 + 4)x = 17x factorise the x and add When the coefficients more complicated as in your question it is usual to factorise and in the example as given it shows the how the result was achieved.

You state however k\n ... it follows...k|n Again you only use k relative prime to m only to state that k does not divide m this is not sufficient