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Functional Analysis
Q.1: Find the fourier series of f(x)=│x│ on [-π, π]
Q.2: Find the fourier series of f(x)=2-x2 on (-2<x<2)
Q.2: Find the fourier series of f(x)=2-x2 on (-2<x<2)
Functional Analysis
1
limx→1(1+x+x2+……...+xm−1)
= …….
1
m-1
m
-1
limx→1(1+x+x2+……...+xm−1)
= …….
1
m-1
m
-1
Functional Analysis
if f:X to Y and g:Y to Z then the domain of gof is X and co-domain is Z , what is the domain and co-domain of fog, fof, gog, here in this case?
Functional Analysis
Just wanted to include a tad more information**
You are to design a real life object using at least 5 different types of functions. There are an infinite number of equations that will produce a shape that fulfils the design criteria, therefore uniqueness will be taken into consideration.
Your task is to design a UNIQUE real-life object using at least 5 different mathematical functions or relations. You can choose from any of the following (eg. linear, parabolic, hyperbolic, exponential, logarithmic, trigonometric, circles) that would be appropriate and accurate for your object.
You are to:
1. Submit a list of functions or relations that were used to make up your design . Each function must have accurate domains
2. Produce an accurate graph of your design from GRAPHmatica. This will justify the reasonableness of your results.
3. Include all working (rough drafts) for the development of your design
4. Fully justify your choice of each function and its appropriateness to the design
You are to design a real life object using at least 5 different types of functions. There are an infinite number of equations that will produce a shape that fulfils the design criteria, therefore uniqueness will be taken into consideration.
Your task is to design a UNIQUE real-life object using at least 5 different mathematical functions or relations. You can choose from any of the following (eg. linear, parabolic, hyperbolic, exponential, logarithmic, trigonometric, circles) that would be appropriate and accurate for your object.
You are to:
1. Submit a list of functions or relations that were used to make up your design . Each function must have accurate domains
2. Produce an accurate graph of your design from GRAPHmatica. This will justify the reasonableness of your results.
3. Include all working (rough drafts) for the development of your design
4. Fully justify your choice of each function and its appropriateness to the design
Functional Analysis
You are to design a real life object using at least 5 different types of functions. There are an infinite number of equations that will produce a shape that fulfils the design criteria, therefore uniqueness will be taken into consideration.
Your task is to design a UNIQUE real-life object using at least 5 different mathematical functions or relations. You can choose from any of the following (eg. linear, parabolic, hyperbolic, exponential, logarithmic, trigonometric, circles) that would be appropriate and accurate for your object.
This is the last question on my math assignment (Introduction to functions) and I just cant figure out how to do it. Some help would be deeply appreciated
Your task is to design a UNIQUE real-life object using at least 5 different mathematical functions or relations. You can choose from any of the following (eg. linear, parabolic, hyperbolic, exponential, logarithmic, trigonometric, circles) that would be appropriate and accurate for your object.
This is the last question on my math assignment (Introduction to functions) and I just cant figure out how to do it. Some help would be deeply appreciated
Functional Analysis
show that L_1 weak and strong convergenc e coincide.
Functional Analysis
show that L_1 weak and strong convergenc e coincide.
Show that , if x is a separable space , an orbitrary bounded sequence of elements of (X ) ̃ contains a weakly convergent
Show that , if x is a separable space , an orbitrary bounded sequence of elements of (X ) ̃ contains a weakly convergent
Functional Analysis
Let f be a linear functional on the Hilbert space X . let N be the null space of f . show that if f is not continues , then N ̅=X .
Functional Analysis
Let M be a sequence of the Hilbert space x . prove that M is dense in x iff ( Y⊥ M ⟹ y=0 )
Functional Analysis
the range of function, f(x)=x^3-1/x-1
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#339914 on Dec 2023
#339914 on Dec 2023