4,971 reputation
11020
bio website jpmccarthymaths.com
location University College Cork, Ireland
age 29
visits member for 2 years, 11 months
seen 1 hour ago

An assistant lecturer at the Cork Institute of Technology. I am also a PhD student of mathematics at University College Cork, Ireland. I hold a BSc and an MSc from UCC. A recent cv, (June 2014) may be found here.

https://jpmccarthymaths.files.wordpress.com/2010/07/resume.pdf


3h
comment Is this function one-to-one and onto?
One guesses that one of your threes be an $x$.
3h
answered Sum of homogeneous and inhomogeneous solutions also form a solution
1d
comment Is there a way to quantify the 'unsortedness' of a given vector/1D array with respect to a reference vector.?
Is anyone else thinking dot product?
Oct
26
comment If $f(x) = -3x^3 + 2x^2$, find $f(-1)$ and $f(1/2)$.
The answer that is required here is to explain what kind of an object a function is.
Oct
24
revised The Intuition behind l'Hopitals Rule
added 31 characters in body
Oct
24
answered The Intuition behind l'Hopitals Rule
Oct
22
comment Trying to subtract 2 fractional
...also I would like to point out that the question was edited heavily since I answered.
Oct
22
comment Trying to subtract 2 fractional
An axiom is a fact that we assume and a theorem is a fact that we can prove from axioms.
Oct
22
answered Trying to subtract 2 fractional
Oct
21
comment Find the area bounded by $x+y=3$ and the coordinate axes.
Note if you graph the situation you have a triangle with base 3 and perpendicular height 3...
Oct
21
comment Can you cancel out a term if equal to zero?
I have banned the word "cancel" from my classes also.
Oct
20
comment Second Order Linear Differential Equations
$y_T(x)=pxe^x$ is also in the complementary/homogenous solution... try $y_T(x)=px^2e^x$.
Oct
20
comment If w is a complex root of 1. Find the value of w^4+w^8
...or perhaps the textbook defined $\omega$ as a particular cube root of unity...
Oct
16
comment How to find line parallel to direction vector and passing through a specific point?
No... different values of $t$ give you different points along the line. $P+t\mathbf{v}$ is the answer. Draw a picture.
Oct
16
comment How to find line parallel to direction vector and passing through a specific point?
$L\equiv P+t\mathbf{v}$ should do the trick.
Oct
16
comment Analogous of Markov's inequality for the lower bound
After a Google en.wikipedia.org/wiki/Paley%E2%80%93Zygmund_inequality
Oct
16
comment How many perfect shuffles are needed to go back to initial state?
The inverse shuffle is of course OK to study.
Oct
16
comment How many perfect shuffles are needed to go back to initial state?
Yes this is correct sorry I was working mod 8 by mistake.
Oct
16
comment $f(x)=x^m+1$ is irreducible in $\mathbb{Q}[x]$ if only if $m=2^n$.
@SebastianSchoennenbeck ?
Oct
16
comment How many perfect shuffles are needed to go back to initial state?
@Nimda What about the $2^n$ card then? It should stay fixed but for say $n=3$ the 8th card goes to card 7... this is the piecewise problematics that I was dealing with...