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Mathematical Analysis
Mathematical analysis is, simply put, the study of limits and how they can be manipulated. Starting with an exhaustive study of sets, mathematical analysis then continues on to the rigorous development of calculus, differential equations, model theory, and topology. Topics including real and complex analysis, differential equations and vector calculus can be discussed in this category.
2,575 Questions
Well, isn't that a happy little question! If we have $150,000 to divide in the ratio of 1:3:5, we first add up the parts of the ratio (1+3+5=9) to find the total parts. Then, we divide the total amount by the total parts to find the value of each part ($150,000 ÷ 9 = $16,666.67). Finally, we multiply this value by each part of the ratio to find out how much each winner will receive ($16,666.67 * 1 = $16,666.67, $16,666.67 * 3 = $50,000, $16,666.67 * 5 = $83,333.33). Happy dividing!
What is the history of fourier series?
Oh, the history of Fourier series is truly fascinating! It all began with Joseph Fourier, a brilliant mathematician in the 19th century. He discovered that you could represent complex periodic functions as a sum of simpler trigonometric functions. This insight revolutionized mathematics and has had a profound impact on fields like signal processing, physics, and engineering. Just imagine, breaking down intricate patterns into beautiful harmonious components - it's like creating a masterpiece on canvas with just a few brushstrokes.
How many times can 52 go into 436?
To determine how many times 52 can go into 436, you would perform the division 436 ÷ 52. The quotient is 8, with no remainder. Therefore, 52 can go into 436 exactly 8 times.
How many 600mm x 600mm slabs do you need to cover 55 sq meters?
Well, isn't that a happy little question! To cover 55 square meters with 600mm x 600mm slabs, you would need around 192 slabs. It's like painting a beautiful landscape - just measure twice and lay those slabs down gently, and you'll have a lovely space to enjoy!
How many smarties can fit in a jar?
The number of Smarties that can fit in a jar depends on the size of the Smarties and the size of the jar. To calculate this, you would need to determine the volume of one Smartie and the volume of the jar, then divide the volume of the jar by the volume of one Smartie. Keep in mind that packing efficiency and air gaps will also affect the final count.
In what time will 2700 yield the same interest at 4 per annum as 2250 in 4 years at 3 per annum?
Oh, what a lovely question we have here! To find the time it takes for 2700 to yield the same interest as 2250 in 4 years, we simply need to compare the interest rates. Since the interest rates are different, we can use a formula called the "interest formula" to solve for the time needed. Let's embrace the joy of solving this together!
When does the mass of an object affect the time of its free fall?
Well, friend, the mass of an object doesn't actually affect the time it takes to fall freely. Whether it's a heavy rock or a light feather, they will both fall at the same rate in a vacuum. Isn't that just a lovely reminder of the beauty and simplicity of nature?
How do you turn a thousand to one million by trading?
There are A WHOLE LOT of books abuot trading. You can do a google search to find out what the titles are and where to buy them. As far as getting an answwer in this forum is concerned, the chances of having someone provide you with THE answer YOU are looking for is very remote. I'll give you my opinion and what I'm doing - along with hundreds of thosands of others. You'll have to come to your own conclusions. In the beginning "newbie" traders & investors DO NOT INVEST any money. It probably won't be long when you'll feel you're ready to invest your hard-earned money. Before taking that step, you really should do research about what you are investing in. You should LEARN HOW: A] the stock market works. B] to invest in many, many various ways. C] to properly trade D] Properly manage the money in your trading account. "Newbie" investors & traders ALWAYS make mistakes. In fact, throughout a person's trading hobby, avocation or career, he/she makes mistakes. In the beginning, you READ & LEARN about the market & how it works: Read "Investing for Dummies" As you read & do research about the investments you are interested in, sometimes you'll come across a financial or investment term you never heard before. Use an on-line investing site or an investment dictionary. There are also free sites where you can set up a virtual account & almost trade as though you were trading with real money. Since Google is providing the ads for this site, you can do a google search for those. There are quite a few of them. You might want to try a few different virtual trading sites, THEN make your selection. A SIMPLER WAY TO TRADE:
This is what I learned about the stock market and trading:
1] I read a little about the overall market and how it works. I read about different aspects: mutual funds, currency, commodities, stocks and options.
2] I asked Qs of my coaches and mentors; suggestions were made to me.
3] THEN I read and studied about those areas which interested me.
4] I concentrated on those areas which interested me and which fit the amount we had to work with.
5A] For those strategies I felt comfortable with, I developed trading rules. For those strategies I didn't know anything about, I developed some trading rules.
5B] I discovered I only needed trading rules for 4 to 6 trading strategies.
6] Using those rules, I paper traded.
7] When trades went against me - when I lost money - I adjusted or "tweaked" those rules for that strategy.
8] I paper traded - again and some more.
9] I made further adjustments.
10] I'll admit I didn't do enough research for the right broker for our trading needs, wants or desires. However, the one we decided to go with is OK - but not the greatest AND definitely not the least expensive. Yet, the actual trading account was opened:
As a speculator, with margin, with the approval to trade options.
11] Yes, it was VERY scary AND I was VERY apprehensive: BUT, I MADE THE BIG JUMP: Going "live" - in-the-market - with real money. I lost some money. NO ONE ever succeeds in each and every trade 100% of the time.
BUT I didn't use the entire amount of the account's money on one trade. I learned AND I lived to trade another day. AND I continue learning and living to trade other days.
AND YES, I STILL have some losing trades. BUT my winning trades are A WHOLE LOT more than the losers.
It's money. The eurodollar, usually called the euro, is the standard currency in most of Europe. Seventy euro is, well, seventy euros.
What are the multiples of 6 from 1 to 5733?
6, 12, 18, 24, 30 and keep adding 6 nine hundred fifty more times till you get to 5730.
What is the formula of exponegtial decay?
The general form is y(t) = a + y(0)*exp(-bt)where y(t) is value of the variable at time t.
the starting value is a + y(0) and the asymptotic value (as t -> infinity) is a.
Why do we find the limit of a function?
Typically, it's to give you an idea of a function graphically. Sometimes you deal with functions that are really hectic in design and they don't really have all the points smoothly in place (for example, a graph with an empty point or ^, a peak). A limit gives you an idea of what's happening with the graph as you get close to that point or area (as with infinity not being an actual point), hence the "as x approaches N," N being either some number, or negative or positive infinity.
Why does multiplication or division with a negative number yield a negative answer?
The assertion in the question is not always true. Multiplying (or dividing) 0 by a negative number does not yields 0, not a negative answer.
Leaving that blunder aside, let p and q be positive numbers so that p*q is a positive number.
Then
p*q + p*(-q) = p*[q + (-q)] = p*[q - q] = p*0 = 0
that is p*q + p*(-q) = 0
Thus p*(-q) is the additive opposite of p*q, and so, since p*q is positive, p*(-q) must be negative.
A similar argument works for division.
