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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
There are 24 hours in a day. Therefore to convert from hours to days you need to divide by 24. In this case, we get:
25,000/24 = 1041.66666rec
Thus, 25,000 hours is equivalent to 1,041 and 2/3 days.
What is that square root of fraction 20 over 25?
The square root of fraction 20 over 25:
= √20
...√25
= √4(5)
......5
= 2√5
.....5
or 2 square root of 5 over 5
It is not possible to answer the question.
There are three measures, but they cannot form a 2D shape - a triangle.
If they are the lengths of sides of a solid figure, there is no information as to what shape that figure is - a cuboid or a parallelepiped.
What does fl mean for capacity?
As in 16 fl. Ounces in a can, it means FLUID ounces. there are also ounces as in weight, so they put fluid so you can know the difference.
What it the weight of a rock that has a mass or 5.0 kg?
On earth, 5 kg of mass weighs 49 newtons (11 pounds) at sea level.
Less as rises above or sinks below the surface.
Which is not a way to prove two right triangles are congruent ll or ha or hl or AA?
aa. If the angles are equal and the triangles are right triangles, then all three angles are equal, but the sides can grow or shrink, as long as they remain proportional.
What kind of math do you do in math bowl?
It depends on what level of people are competing. If it's anything from middle school to high school, you might see something like:
What is the largest 2-digit integer that is 7 times the sum of its digits? For example, 21 = 7 x (2 + 1)
For college-level competitions you'd see harder: trig, calculus, number theory, etc.
In ordinary mathematics, division by zero is impossible.
How high can you trow a baseball?
If you meant throw, then it depends how hard and how much strengh you have to throw one
What does infinitesimal calculus mean?
Infinitesimal calculus pretty much means non-rigorous calculus, i.e. calculus without the notion of limits to prove its validity. When Newton and Leibniz originally formulated calculus, they used derivatives and integrals in the same manner that they're still used today, but they provided no formalism as to how those techniques were mathematically valid, therefore causing quite a debate as to their worth. The infinitesimals themselves simply had to be accepted as valid, in and of themselves, for the theory to work.
Is a divergent infinite series to the power of 2 also a divergent series?
Not necessarily, and I'll give you an example.
The harmonic series, Σ∞n=1 (1/n), is divergent.
However, if you square (1/n) and use the result in the above series; i.e. Σ∞n=1 (1/n2), which is the p-series for p = 2, the result is that the series converges, and so therefore, by definition, is not divergent.
Does the TI-89 have a built-in function that returns the number of elements in a list or matrix?
Yes, the in-built dim() function
Was the roman society able to add subtract multiply and divide using the numerals?
Yes, although they look different from what we're used to seeing they are still numbers
Statistical analysis is a method of studying large amounts of business data and reporting overall trends. Single data is studied instead of a cross-section of data.
Difference between fuzzy set theory and crisp set theory?
The fundamental difference is that in fuzzy set theory permits the gradual assessment of the membership of elements in a set and this is described with the aid of a membership function valued in the real unit interval [0, 1]. Better, the degree of membership of the elements of a set can take values ranging between 0 and 1 allowing for a ranking of membership. Conversely, crisp set theory is a classical bivalent set so that the membership function only takes values 0 or 1. In this case, one can know only if an element of the set have or not a particular characteristic and a ranking of membership is not possible.
Differentiation lets you find the rate of change of a function. You can use this to find the maximum or minimum values of a differentiable function, which is useful in a lot of optimization problems. It's also necessary for differential equations, which are useful just about everywhere.
How do you calculate Indian standard medium channel and Beam weight?
divide the beam into three rectangles, calculate the area of each rectangle and multiply it by length.
then you get the volume of beam & finally multiply it by density
In a plane, each vector has only one orthogonal vector (well, two, if you count the negative of one of them). Are you sure you don't mean the normal vector which is orthogonal but outside the plane (in fact, orthogonal to the plane itself)?
What is the application of Fourier series in civil engineering?
when we have need to know the temperature in a bar about any distance we can use fourier series to know that and then we can apply sufficient temperature.
What are the mathematical basis for phone and email hacking?
Digital encryption is based on prime factorization of really large numbers. Each software manufacturer writes a specific algorithm to encode each password with a semi-random large number. And the characters you chose are encoded with the prime factorization of that number. Since every number has a "unique" prime factorization that's what makes it secure. Password "hacking programs" run through several prime factors systematically until it finds the right one and "decodes" the password.
