Decline in Lung Function in Lymphangioleiomyomatosis . Relation to ::
Decline in Lung Function in Lymphangioleiomyomatosis Relation to Menopause and Progesterone Treatment. SIMON R. JOHNSON and ANNE E. TATTERSFIELD
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x^2-y^2=7 , xy=7 , x=7 , x^2+y^2=7
these two are functions
xy=7 , x=7
as there is only one unique value of the dependent variable per value of the independent variable (in the case of x=7, y would be the independent variable, in the other case, it doesn't matter which one you pick).
These two are not functions
x^2-y^2=7 x^2+y^2=7
as you actually have two values of the dependent variable per value of the independent variable and this will be true no matter which variable you choose to be the independent one.
Relationship between lung function and blood pressure in Chinese ::
CONCLUSIONS: These results suggest a statistically significant, though weak, inverse relationship between lung function and blood pressure in Chinese men
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Write a recurrence relation for the function count. - Computer Science::
2 posts - Last post: Sep 21, 2006Write a recurrence relation for the function count. - Computer Science Community and Forum - Our Computer Science forum is the place for
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THE ANSWER PROVIDED BY BILLRUSS DOWN THERE IS WRONG.
This is the definition of function:
"A function is a relation that associates a SINGLE output to EACH input element drawn from a fixed set"
PEP Web - The Sexual Cycle in Women. The Relation Between Ovarian ::
The Relation Between Ovarian Function and Psychodynamic Processes: By Therese Benedek, M.D., and Boris B. Rubenstein, M.D. Psychosomatic Medicine Monographs
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Relation of Renal Function to Ischemic and Bleeding Outcomes::
Jun 9, 2005 Do outcome differences exist between agents that are renally excreted (tirofiban ) or not (abciximab) in patients with mild renal impairment?
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x = 7 can be considered a function if I assume that x is the dependent variable of the independent variable that I declare as t, i.e. x(t) = 7. In this case, this will show as a straight line in my defined (t,x) cartesian plane with 0 slope and fixed value x(t) = 7 for any value of t. So, I beg your pardon, but x=7 can be considered a function just as much as y = 7 can be considered a function.
x^2-y^2=7 x^2+y^2=7
these two are not functions. If you remember your Analytical Geometry course, the first one describes a Hyperbola in the (x,y) plane and the second one is a circle (special case of an ellipse). For these, there are multiple output values for whichever variable you declare as independent and, thus, they are not functions because an input DOES NOT produce a single output unless you specifically declare that either y or x have to be larger than zero.
You have 4 equations, and they can all be considered functions of x or y except x=7, which is just a definition.
"The mathematical concept of a function expresses dependence between two quantities"
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