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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
How many significant figures are in 1.5e-6 x2.34e4?
The least number of significant figures in any number of the problem determines the number of significant figures in the answer.
Is grouped data better than ungrouped data?
Groued or ungrouped data all used to conclude something,but that conclusion is not 100% accurate,Whatever we use those just to live in this world,so dont bother about it . Groued or ungrouped data all used to conclude something,but that conclusion is not 100% accurate,Whatever we use those just to live in this world,so dont bother about it .
Solved paper of msc it 3rd sem?
The simple words or the expressions, which connect the simple prepositions, are known as
How to become good in studies?
I try to study 2 hours daily,
One thing I do is a make flash cards. I have them up into a puzzle. I make the meaning in one, and the other half the question to the meaning,.
I put them into a brown bag and shake me up. Than I get them out and try to match the question with the answer.
I try different things with the same subject. I record my question and than answer it. While I am getting dress. and hear the type that I recorded.
But at time I am not consistence in the time I study daily. Does any one have new ideas for me.
rosa
Why Laplace transform not Laplace equation?
Laplace equation:
in 3D U_xx+U_yy+U_zz=0
Or in 2D U_xx+U_yy=0 where U is a function of the spatial variables x,y,z in 3D and x,y in 2D.Also, U_xx is the second order partial derivative of u with respect to x, same for y and z.
Laplace transform:
L(f(t))=integral of (e^(-s*t))*f(t) dt as t goes from 0 to infinity. Laplace transform is more like an operator rather than an equation.
What number can be multiplied by a fraction and get a result of 1?
The number that can be multiplied by a fraction to get a result of 1 is the reciprocal of the fraction. Apart from zero, all real numbers have reciprocals.
How do i calculate the volume of a round swimming pool?
A round swimming pool is a right circular cylinder, so you can use the formula pi times the radius squared times the height to calculate the volume.
Discoverer of a particular mathematical concept is hard to say as a certain concept is accepted or emerged after many researches.But for set theory as far as we know there is only a single discoverer named Georg Cantor.
What is the customary units of measuements?
In the SI system (metric), length is a meter, mass is the kilogram, and time is the second.
How do you know that a number is divisible by 15?
A number that is divisible by 15 is divisible both by 5 and 3
A number is divisible by 5 if it ends with 0 or 5
A number is divisible by 3 if the sum of its digits is divisible by 3
e.g. 4035 is divisible by 15 as it ends with a 5 and 4+0+3+5=12 which is divisible by 3
What is 17.375 turned into a mixed number?
17.375 turned into a mixed number is 17 and 375thousandths
Why is a cube a rectangularr prisam?
A rectangular prism is a hexahedron with six rectangular faces, each on which meets two others at right angles. In the special case that the rectangles are squares the shape is a cube so a cube is a special case of a rectangular prism.
What is 8.7 times 10 to the 8Th power?
If you mean 8.7*10^8 in scientific notation then it is equivalent to 870,000,000
What is Negative 3 divided by zero equal to?
it isn't possible. try it on your calculator cuz it won't work. you can divide 0 into things but you can't divide somthing into 0. or else itz the other way around. 8p
What are the conditions for error to be minimum in least squares approximation?
Let's start with a first degree polynomial equation:
This is a line with slope a. We know that a line will connect any two points. So, a first degree polynomial equation is an exact fit through any two points with distinct x coordinates.
If we increase the order of the equation to a second degree polynomial, we get:
This will exactly fit a simple curve to three points.
If we increase the order of the equation to a third degree polynomial, we get:
This will exactly fit four points.
if we have more than n + 1 constraints (n being the degree of the polynomial), we can still run the polynomial curve through those constraints. An exact fit to all constraints is not certain (but might happen, for example, in the case of a first degree polynomial exactly fitting three collinear points). In general, however, some method is then needed to evaluate each approximation. The least squares method is one way to compare the deviations.
The expectation is 50 times.
How many minutes of daylight do you gain per day?
Every Day the Earth gains more time. It is only about three minutes that are gained each day, after the winter solstice.
Where is use of fourier analysis in real life?
One example is analyse a music note, represented as a waveform, into a series of frequencies called the fundamental, second harmonic, third harmonic etc. This is useful in designing audio systems because an ordinary note, let's say middle-C, is at 260 Hz but played by an instrument the note also has harmonics that let you identify the instrument. An audio system has to reproduce the fundamental note but the harmonics also, otherwise the listener won't hear proper music.
A square wave with a period of 2pi has a Fourier series of 4/pi *(cos x - 1/3 cos 3x + 1/5 cos 5x . . . . ) and it can be integrated to give this series: 4/pi*(sin x -1/9 sin 3x + 1/25 sin 5x . . . ) which is obviously the series for a triangular wave, so the series shows that the upper harmonics are smaller.
How do you change standard form to exponential form?
standard form:
2^5 = 32
exponential form:
2 x 2 x 2 x 2 x 2 = 2^5
How man sides does a polygon have if its interiror angle is 150?
It has 12 sides. This type of polygon is called a dodecagon
What is the speed of a car in miles per hour?
100 miles per hour then your car will blow up or over heat then blow up your choice
