0
No. You can always "cheat" to prove this by simply giving the function's domain a bound.
Ex: f: [0,1] --> R
I simply defined the function to have a bounded domain from 0 to 1 mapping to the codomain of the set of real numbers. The function itself can be almost anything, periodic or not.
Another way to "cheat" is to simply recognize that all functions having a domain of R are bounded functions, by definition, in the complex plane, C.
(Technically, you would say a non-compact Hermitian symmetric space has a bounded domain in a complex vector space.) Obviously, those functions include non-periodic functions as well.
Wiki User
∙ 13y ago
Add your answer:
Earn +20 pts
Property common to all trigonometric functions?
Trigonometric functions are periodic - they repeat after a period of pi, or 2 x pi.Trigonometric functions are periodic - they repeat after a period of pi, or 2 x pi.Trigonometric functions are periodic - they repeat after a period of pi, or 2 x pi.Trigonometric functions are periodic - they repeat after a period of pi, or 2 x pi.
Are the sum of two periodic functions always periodic?
yes
True or false. When you compose two functions. The domain and the range of the original functions does influence the domain and the range of their composition?
true
When you compose two functions the domain and range of the original functions does influence the domain and range of their composition true or false?
True.
When you compose two functions the domain and range of the original functions does influence the domain and range of their composition. True or False?
True.
All hosts within a domain receive the same frame that originates from one of the devices. The domain is also bounded by routers. What type of domain is this?
Broadcast.
All hosts within a domain receive the same frame that originates from one of the devices The domain is also bounded by routers What type of domain is this?
Broadcast.
What has the author O Tammi written?
O. Tammi has written: 'On Green's inequalities for the third coefficient of bounded univalent functions' -- subject(s): Analytic functions, Univalent functions, Inequalities (Mathematics) 'Extremeum Problems for Bounded Univalent Functions II' 'On the analytic foundations of central projection I' -- subject(s): Projection 'Extremum Problems for Bounded Univalent'
Is every measurable functions continuous?
No, a measurable function may have a finite number of discontinuities (for the Riemann measure), or a countably infinite number of discontinuities (for the Lebesgue measure). It should also be bounded (have some upper and lower bound, or limit, in the domain that is being measured), to be measureable. At least, some unbounded functions are not measurable.No, a measurable function may have a finite number of discontinuities (for the Riemann measure), or a countably infinite number of discontinuities (for the Lebesgue measure). It should also be bounded (have some upper and lower bound, or limit, in the domain that is being measured), to be measureable. At least, some unbounded functions are not measurable.No, a measurable function may have a finite number of discontinuities (for the Riemann measure), or a countably infinite number of discontinuities (for the Lebesgue measure). It should also be bounded (have some upper and lower bound, or limit, in the domain that is being measured), to be measureable. At least, some unbounded functions are not measurable.No, a measurable function may have a finite number of discontinuities (for the Riemann measure), or a countably infinite number of discontinuities (for the Lebesgue measure). It should also be bounded (have some upper and lower bound, or limit, in the domain that is being measured), to be measureable. At least, some unbounded functions are not measurable.
Functions of the periodic table of elements?
What are the four functions of a periodic table?
What is the domain and range of trigonometry functions?
No domain no range
Why are sine and cosine functions used to describe periodic?
because sine & cosine functions are periodic.
Property common to all trigonometric functions?
Trigonometric functions are periodic - they repeat after a period of pi, or 2 x pi.Trigonometric functions are periodic - they repeat after a period of pi, or 2 x pi.Trigonometric functions are periodic - they repeat after a period of pi, or 2 x pi.Trigonometric functions are periodic - they repeat after a period of pi, or 2 x pi.
Are the sum of two periodic functions always periodic?
yes
When you compose two functions the domain and range of the original functions does influence the domain and range of their composition true or false?
True.
True or false. When you compose two functions. The domain and the range of the original functions does influence the domain and the range of their composition?
true
When you compose two functions the domain and range of the original functions does influence the domain and range of their composition. True or False?
True.
