Mathematics

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for a given equation f(x)=x^3-8x-4 what is the first thing i should find ? location of the root by the method of tabulation ?

A set is defined as: "A set is a finite or infinite collection of objects in which order has no significance, and multiplicity is generally also ignored (unlike a list or multiset)." (link) This is my question: can it be a collection of real objects or does it have to be a collection of abstract or conceptual objects only?

where do i start ?

This is absolutely brilliant. I have a book at home that is filled with little mental tricks on how to do math quickly in your brain, including the "pneumonic" method; some of the tricks are laughably easy (but impressive to those who are unsuspecting) and some take a LOT of practice. I am not even remotely close to anything even SIMILAR to what this guy does. It's absolutely amazing! I figured you guys would enjoy it too. Since I know the book tricks in general (again, it's far from easy and I'm not really anywhere close to this level) I kinda looked for where he's stalling while he's calculating and where he uses humor to hide his mental tricks --- even…

I was wondering if someone could please explain to me what this means: the function tan^-1(x) or arctan(x) is a periodical function with the period of pie = 180(degrees) an analogy etc might be useful to me, thanks.

Hi. I need some math help/clarification. I'm writing about some nutritional issues and searching for some research on the macronutrient content (protein/fat/carbohydrate) of wild fruits so I can compare them to commercially grown fruits. I've found an excellent study looking at exactly what I want. You can read the PDF here: 2008 Milton, K. Macronutrient Profiles of 19 Fruit Species from Barro Colorado Island, Panama. Neotropical Primates 15 (1):1- 5. http://nature.berkeley.edu/miltonlab/pdfs/neotropical.pdf However, the numbers don't work, as I need them in a percentage of calories model, which is how most macronutrient info is presented. The study list…

Hello Folks, [1] Can someone please explain that bold text in a bit more detail ? When is it convenient (under what contexts) ? [2] If we define a sphere in spherical coordinates, with the centre at the origin, and a positive radius R If we then change the sign of the radius to -R what are the implications Where does this "new sphere" exist in relation to the old sphere ? (a) in mathematical terms (b) in practical reality Cheers Rich

This is a homework questions I've spent a lot of time trying to solve and I am not sure if I am doing it right. Here is the question: A triangular prism has a base defined by the points (1,3,0), (3,-4,0) and (-2,1,0). The prism has a slant height given by the vector (2,3,7). Determine the volume of this prism. So far I've gotten three answers doing this questions three different ways (using dot product, cross product, cosine law, etc.): 98.43 units3 160 units3 92.14 units3 Can someone please explain to me how I can solve this problem? This is for a gr. 12 calculus and vectors course. Thank you!

I was reading up on physics and came across a standard form quadratic equation. I know what a quadratic equation is but didnt know they had (a) standard form. So could someone please explain it to me... Thanks.

How to solve this question 0.3!??????? I have never found this problem in the factorial. Help me,,please!!!! =)

Hi I have a question between math and computer science. What I want to do is write some tool that recognizes what is encryption algorithm of cipher text. I want to do it using support vector machine. I found article about representation of encrypted file as a 10 features vector, but I have problem with calculate it. I would be very grateful if somebody helped me how to do this. Here is my article: Article and here is the beginning of this. I don't know exactly what author means by "maximum entropy", especially of 3 and 4 grams. Best regards Michael

The Joke A mathematics professor, early in a class, is interrupted by a student asking how an assertion made in the course of proving a theorem might been seen to be true. The professor stands back, looks at the statement, pauses a moment, and replies "It is obvious". Then he stands back a moment, remaining silent, and continues to stare at the statement. He continues for several, minutes, then turns an walks out of the lecture hall. After an absence of over 30 minutes, one of the students leaves the hall to find the professor. He finds him, in his office, in front of his chalk board, on which is the statement that was questioned and a plethora of mathemati…

Numerical Noise Generator Based on Real-World Noise Simulation The goal: Create a model for Serial\Parallel Noise Generator that can be considered as a Random Number Generator, meant for the impossibility of the analysis, by using hidden variables in Chaos theory ... The idea: if group of n members have random speeches at random times a receiver from a distance can only hear noise ! I have made a new way to create probabilistic hidden variables by simply Independent Random Intersection Between Independent Systems ... note: this model is abstract, can be implemented in different ways, The papers are in the Attachments ... NNGBRWNS.pdf

What are your favorite books on mathematics? Are there any great autobiographies? What about books on the application of mathematics to various fields?

one number is wrong in the bellow series 5, 27, 61, 122, 213, 340, 509 Please help me to solve the problem.

Hi All, I'm busy trying to write a 'smart' billing system, but I'm getting a bit stuck with some of the maths and thought that if someone else looked at what I'm doing you may see a much easier solution. Background: - First, just a little explanation of how it works. A person has an account that is part of a 'plan'. A plan is made up of zero or more plan items (or options in the plan), and each plan item can provide 0 or more resources. What that means is that if I have the following 3 resources I am selling: - Mailbox Resource .com Domain Resource .net Domain Resource And in my plan I have the following plan items (options): - .Com Domain - $10 …

I was wondering what exactly 'standard form' is/means in the area of linear equations

I'm doing a presentation on statistics and statistical abuse and it got me interested in learning more about statistics, specifically in the context of data analysis and scientific experiments. Does anyone have a recommended textbook or resource for learning?

I have recently been studying algebra and came across this which didn't make sense - a(squared) + 1 / a + 1 and stated that it could not be simplified any further due to lack of common factors... however, can't the denominator 'a' be taken away from the numerator 'a(squared)', therefore just leaving 'a' with the two 1s being cancelled. Or is simplification (of algebraic expressions) different to solving them..

I know that the area of an ellipse is: Pi x Semimajor x Semiminor But after quite a long time of figuring, i thought, why can't we just treat the ellipse as a circle by hypothetically shortening the semimajor and lengthening the semiminor to the same length (averaging them) and then using Pi x Radius2 I know they give different answers, but i don't see why my way is wrong. I know that it is, but i would like someone to prove to me that it isn't, and prove to me that Pi x ab is thanks once again

Would someone be able to please explain to me what the following means - a^-1 = 1/a, a^-m = 1/a^m I've recently gone over the area of scientific notation and this part in particular didn't make sense. thanks.

The surface in above image is a portion of the graph of some mathematical equation. Let's do some brainstorming: Can you guess what's inside the surface? .

I was wondering does the rule - a plus and minus equals a minus - mean/hold the same for an expression such as -2 + 6 and 2 + (-6) and why is it so..