Insight is the understanding of a specific cause and effect within a particular context. The term insight can have several related meanings:
a piece of information
the act or result of understanding the inner nature of things or of seeing intuitively (called noesis in Greek)
an introspection
the power of acute observation and deduction, discernment, and perception, called intellection or noesis
An understanding of cause and effect based on the identification of relationships and behaviors within a model, context, or scenario (see artificial intelligence)An insight that manifests itself suddenly, such as understanding how to solve a difficult problem, is sometimes called by the German word Aha-Erlebnis. The term was coined by the German psychologist and theoretical linguist Karl Bühler. It is also known as an epiphany, eureka moment or (for cross word solvers) the penny dropping moment (PDM). Sudden sickening realisations often identify a problem rather than solving it, so Uh-oh rather than Aha moments are further seen in negative insight. A further example of negative insight is chagrin which is annoyance at the obviousness of a solution missed up until the point of insight, an example of this being the Homer Simpson's catchphrase exclamation, D'oh!.
Every time that I click to comment on a Insight Blog article I get redirected to a new page that says:
But clicking there gets me to back to the forums and not to the Insight article. Is this a bug?
The note is entitled: Evaluation of a Class of n-fold Integrals by Means of Hadamard Fractional Integration. 4 pgs pdf format.
I assure you that you need not know anything about fractional calculus at all to understand this note that Howard Cohl helped me with. We only use a single...
Link to my insight Article it's right where I need you to start checking, read the above boxes to, check out the picture to see examples of the kind of sequence of sets we are dealing with. I need you to read the section jusr below the first picture entitled "3.0.2 Lemma 2.1: Nesting Property of...
Hi, I'm Michael, a high schooler very passionate about physics. My favorite physics theorem is Fermat's Theorem on light. I'm also very into computer science and math. I run a physics blog. I look forward to discussions on physics forum!
Hello everyone,
I'm a mechanical engineering student, I'm italian, so, sorry for my bad english.
In this moment i am studying the following subjects: Mathematical Analysis II (multivariable calculus), Physics II (eletctromagnetism), Mechanical design and fundamentals of structural mechanics...
I'm typing up answers to the exercises in my Insight article "A Path to Fractional Integral Representations of Some Special Functions", this problem is from section 1 (Gamma/Beta functions). I need a bit of help with this one:
The problem statement:
1.9) Use partial fraction decomposition to...
Projectile Trajectory of Penguin’s Faeces and Rectal Pressure Revisited (PDF, ArXiv)
There's an even better diagram related to fluid pressure, but I'll let you see it in the paper. :cool:
I find that on encountering a tricky problem for which I have to look up the solution, I tend to 'understand' the solution yet over a period of time 'forget' it. On seeing the solution I understand the logical flow of the solution but on seeing the same problem over time I am often unable to...
1. If somebody wanted to translate one or some of the articles, would it be doable to include the translated text with the original Insight?
2. Alternatively, would publishing such a translation elsewhere (with full attribution of course) be o.k.?
Questions mostly directed to @Greg Bernhardt...
I’ve always been confused by the formula for the Total Derivative of a function. $$\frac{df(u,v)}{dx}= \frac{\partial f}{\partial x}+\frac{\partial f }{\partial u}\frac{\mathrm{d}u }{\mathrm{d} x}+\frac{\partial f}{\partial v}\frac{\mathrm{d}v }{\mathrm{d} x}$$
Any insight would be greatly...
Good Evening Mates,
I've been following up with the Forum for a couple of months now, and I've noticed how some of the members are able to give some deep answers for seemingly simple questions. I'm in my second year of undergrad's school, and have studied the basis of Mechanics, Thermodynamics...
I have some couple of questions about this topic to keep this as concise.
1)First of all why does electricity flow in the opposite direction to electron flow?
2)What is electricity in relation with a electron? I know it is the proportional to electric charge, but what relation does it hold? Is...
Clicking on "3 comments" in the "Partial Differentiation Without Tears" insight doesn't work for me. No comments appear. But clicking on the "4 Comments" in "Solving The Cubic For Dummies" does work.
Dear Physics Forum personnel,
I am curious what are your opinions about the "older" books in mathematics and physics (i.e. Neumann, Schrodinger, Dirac for QM, Hawking/Ellis for relativity, Russell for mathematics, etc.). From my experience with mathematical books, I found that I have liking to...
This book Sleeping Beauties in Theoretical Physics: 26 Surprising Insights sounds pretty cool as something to read for fun. Has anyone looked at it yet? I'm wondering also what level of reader it's been written for?
https://www.amazon.com/dp/3319134426/?tag=pfamazon01-20
https://www.physicsforums.com/insights/a-problem-from-incandescence/
For me, many blank lines where I'm sure there should be something . Latex is just fine everywhere else on PF.
Thanks for any help.
For the Insight articles, I noticed that the comments on the Wordpress side of the site do not correctly process BBCode written on the forum side of the site. For example, see some of the later comments on https://www.physicsforums.com/insights/when-did-mitochondria-evolve/
The url tags are...
The first Insight was published on April 28th, but I can't wait to celebrate :partytime:. I am brimming with pride and amazement at how awesome this resource has become.
We got something really really special here. 240 published Insights with well over 1 million views :oldsurprised:!
All glory...
How to self-study mathematics
https://www.physicsforums.com/insights/how-to-study-mathematics/
How to self-study basic high school mathematics
https://www.physicsforums.com/insights/self-study-basic-high-school-mathematics/
How to self-study calculus...
According to A Borobantu, regarding superposition, where Ψ is a state vector or a wave amplitude, given Ψ1, Ψ3, Ψ3... Ψncan by physically realized, then the following statement holds for all linear combinations
Ψ = ∑ciΨi
where ci can satisfy 1 = ∑|ck|2 to be called a complete and closed...
Hello Physics Forums community, I'm looking for opinions, advice, really anything, to help me better understand what I'm going into and what may be better for me after gradation. I am posting this under academic guidance because these are decisions that I need to make while I am in college. This...
Dear PF Forum,
I use Google Chrome Version 43.0.2357.130 m
My browser doesn't display LaTex in PF Insights.
But it display latex on PF Forum other area. Forum and conversation but not in PF Insights.
Even in chat window my browser display LaTex, but a mentor told me that typing latex in chat...
Given polynomial P(a,b,c,d,e,f...n) = (a^0)(b^1)(c^2)...(n^n)
show that the sum of P(a,b,c,d,e,f...x) when acted upon by the symmetric group of order n and each time multipled by the sgn function (1 if even and -1 if odd); that this sum is equal to the vandermonde determinant of these...
Hi guys:It's a general question about mathematics so I figure it best belongs to the general math forum.I would like to know how to be more "AHA" insightful, often time when I look at a math problem/puzzles, there's always these little things (observations, reasoning) that would enable one to...
The Riemann hypothesis states, whenever the Riemann zeta function hits 0, the real part of the input must be 0.5. Does any input with real part being 0.5 make the function hit 0? Also, assuming the hypothesis is true, would it suffice to prove that if the input's real part is not 0.5, then the...
My name is Patrick, I'm 25 and for the first time I'm going to be going to school for my EE degree. I was curious if any current students could suggest books, links or anything that you can think of that will make my time in school either be easier or more successful or feel free to just post...
1. Consider a correlation function between two points `A(x1,t1)` and `B(x2,t2)`, we need to integrate over paths which could be infinite long. But the time length `(t1-t2)` is finite, so if A and B are the coordinates of one single particle, then all of the paths from A to B should be time-like...
Hey guys,
I'm a 3rd year studying mechanical engineering. I blog for a nonprofit that helps first generation students get access to higher education; in my next blog, I'd like to have a community created list of advice, tips, tools, and quirky methods of how other students have achieved a...
Hi. Sorry I couldn't think of a more appropriate title for this thread.
I'm doing some calculatons and I arrived at an equation with this form
f(t')|_0^t = \int_0^t f(t')dt'
I was just wondering if anyone as any insight into the interpretation of such an expression. All I can think...
Was just wondering if anyone here has tried 3D programming. If you have, what language did you write in, what difficulties did you have, and what did you find interesting about it?
As of now I know of Direct3D and OpenGL, but, if I'm not mistaken, you can use different languages to write...
My friend and I have begun work on a folding at home statistics site.
I'm going to break F@H down for you all real quick.
Every 3 hours a Team submits more points and "Units" to their total points and Unit count. (The unit is where the points come from). So every 3 hours Point and Unit...
Dr Chinese has an admirable exposition of Bell's Inequality, here:
http://www.drchinese.com/Bells_Theorem.htm
From this it appears (and please correct me if I am wrong) that a pair of entangled particles each have opposite spin BUT this spin is NOT a hidden value waiting to be revealed by...
1 2 3 4 5 6
1, 1, 2, 3/2, 4/(3/2), 5/(4/(3/2)), ...
I suppose there are a lot of variations, but the general idea is the terms are defined by:
f(n)*f(n+1)=n, where n is an integer. The top row is the term # (n), and the bottom one is the actual value of...
Homework Statement
My teacher wants us to do a report on the lymphatic system but I'm stuck on the part where we have to predict and give insights on improvements of the lymphatic system in the future and original ideas. Help?
Homework Equations
The Attempt at a Solution
http://google.com/insights/search/#cat=&q=physics%20forum&geo=&date=&clp=&cmpt=q
India seem to beat everyone else.
I thought US would be at 1.
1. India
100
2. Canada
84 :biggrin:
3. Australia
71
4. United States
70
5. United Kingdom
66
6. Germany
I was reading the general discussion section and noticed that someone came with a thread about cleaver ideas. I was thinking that there may be some clever ideas, tricks, or insights that many of you experienced mathematicians may have come across. If you have anything you think it is of worth...
Yesterday I was a at special SARS conference and here what I have learn and did not see on the news:
- Virtually all infected people show SARS viruse in the fecals matter only 50% show SARS viruses in the resporatory system. Therefore SARS viruse would be transmitted from air to air, fecal to...