- What f-stop and shutter speed to use in different situations like a sunny day with snow or indoors? I’m a beginner and it is kinda urgent.
Answer by fhotoace
Just use the fine light meter in your camera. When shooting in snow or white sand, open up one stop, otherwise the snow or sand will be grey (18% grey actually)
You can use the sunny 16 rule if you don’t know how to use your camera’s meter yet.
1/ISO @ f/16 for bright sun.
For the sharpest image, stop down about three or four stops from the lenses widest aperture.
- Why is the F distribution important? How do you determine if a significant difference exists among the groups in ANOVA? How do you determine differences between the groups in ANOVA?
Answer by M
DETAILED EXPLANATION “F distribution”: FOUR STEP PROCEDURE
1. COMPUTE Test Statistic F “F-ratio” from ANOVA
2. LOOK-UP TABLE of Test Statistic F at (n , k) degrees of freedom showing the “Pvalue” area under the curve
3. LOOK-UP TABLE of “alpha-level” showing the F CRITICAL VALUE for same (n , k) degrees of freedom.
4. “Pvalue” is compared to “alpha-level” and conclusion made.
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If “Pvalue” less than or equal to “alpha-level”: null hypothesis is rejected.
If “Pvalue greater than “alpha-level”: fail to reject null hypothesis.
- What is the critical F value at the 5% significance rate with 6 numerator degrees of freedom and 16 denominator degrees of freedom?
What is the critical F value at the 1% significance rate with 9 numerator degrees of freedom and 30 denominator degrees of freedom?
Answer by icprofit6000
- Show that, if f is entire, then f is Lipschitz in every bounded set of the complex plane.
Thank you for any help.
Answer by Steiner
Just some hints, I’ll leave the details to you or to anyone who decides to give a complte answer to your question.
1) Show that if f is holomorphic in an convex open set V, then f is Lipschitz in V if, and only if, f’ is bounded in V. The proof of the only if part is kinda easy and is, in fact, valid in any open set, not necessarily convex. For the if part, the one we actually need here and that really requires convexity of V, observe that, for every z1 and z2 in V, f(z2) – f(z1) is the integral of f’ along the line segment [z1, z2] joining z1 and z2 (which, by convexity, lies in V). If f’ is bounded in V by some constant k > 0, then, by the properties of the integral, |f(z2) – f(z1| = | [z1, z2] f'(z) dz| k [z1, z2] |dz| = k|z2 – z1|, so that f is Lipschitz.
2) Now suppose f is entire. Every bounded subset S of the plane is contained in some open disk D, which is open, bounded, convex and has a compact closure (the closed disk D* of same center and radius). Since derivatives of entire functions are entire, f’ is continuous and, therefore, bounded in the compact set D*. So, f’ is bounded in D D*, which, by the result we mentioned in (1), implies f is Lipschitz in D and, therefore, in all of its subsets. This proves the assertion.
- I need help on proving
suppose f is convex and differentiable on an open interval I , then f’ is continuous on I.
Answer by Anon E. Moose
If f is complex on an interval, this means that f ” > 0 on that interval. Since f ” must exist on this interval, and since diff’ability continuity, f ‘ must be continuous on the interval because f ” exists on the interval.