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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
What is 15000.00 minus 40 percent?
40% of 15000 =6000
15000-6000= 9000
Another approach is that:
15000 x 60% = 9000
Commonly used vectors include what?
Vectors have a lot of applications in physics and engineering. Velocity, acceleration and forces are vectors.
For example, you can use vectors to determine the total distance travelled by a boat travelling across a river at 25 miles/hour while the river flows perpendicular to the boat at 10 miles/hour.
There are loads of other applications. Vectors can be used to predict the movement of planets in their orbits, and are useful for 3D geometry in general. Vectors are also essential in electromagnetics, where they are used to represent electric and magnetic fields and their relationships. Maxwell's equations are equations which use vectors. The Poynting vector is used to calculate the flow of electromagnetic energy through space, for example by radio waves or light.
What is the difference between discrete fourier transform and fast fourier transform?
discrete fourier transformer uses digital signals whereas the fast fourier transform uses both analog and digital.
What is the symbol for the least and greastest?
They are: < for least and > for greatest as for example 2 < 4 and 4 > 2
What is the contribution of set theory in rdbms?
set - A collection of well defined and distinct objects. eg:emp={001,002,003,004....}
Relation - table(employee)
tuple -row(which employee)
attribute-column(details about that employee)
set theory says what all can be done with relation(table) with various operators
union ,intersection,=,!=,<> etc
If you define a variable, it can have ANY value - so yes, that includes zero.In a specific problem, it may have a specific value; which may be given, or you might need to figure it out.
Does an equation tell the whole story?
No. An equation can remain unanswered, it may be incomplete and it may be inaccurate.
What is the definition of line segment?
a closed interval corresponding to a finte portion of an infinite line.They are labeled with two letters.
A transform is not inherently a compression; rather, it is a mathematical operation that converts data from one representation to another, often for analysis or processing. Compression specifically refers to reducing the size of data to save space or bandwidth, while transforms can be used for various purposes, including enhancing, filtering, or compressing data. However, some transforms, like the Discrete Cosine Transform (DCT), can facilitate compression by reorganizing data to exploit redundancy.
What is 40 square feet by 80 square feet?
It is a hypercube in 4-dimensional space with an area of 3200 quartic feet.
How much does a mass spectrometer cost?
Its hard to find prices since you almost always need a quote to see the cost from a company. It also depends on what type of MS you are looking at and there are even MS/MS instruments (its basically what it looks like - two mass specs together).
Basically the price range will start at 100k
100,000 - quadrupole MS
100,000 - ion trap MS
300,000-500,000 - quadrupole-Time-of-flight MS/MS or TOF-TOF MS/MS
800,000 - Fourier transform MS
There are other types out there which could increase the price, like automated systems and expensive ionization techniques
