Ad
related to: compound inequalities with no solution answer sheet 5th quarter freeeducation.com has been visited by 100K+ users in the past month
This site is a teacher's paradise! - The Bender Bunch
- Digital Games
Turn study time into an adventure
with fun challenges & characters.
- Lesson Plans
Engage your students with our
detailed lesson plans for K-8.
- Education.com Blog
See what's new on Education.com,
explore classroom ideas, & more.
- Educational Songs
Explore catchy, kid-friendly tunes
to get your kids excited to learn.
- Digital Games
Search results
Results from the WOW.Com Content Network
Bennett's inequality, an upper bound on the probability that the sum of independent random variables deviates from its expected value by more than any specified amount Bhatia–Davis inequality , an upper bound on the variance of any bounded probability distribution
Two-dimensional linear inequalities are expressions in two variables of the form: + < +, where the inequalities may either be strict or not. The solution set of such an inequality can be graphically represented by a half-plane (all the points on one "side" of a fixed line) in the Euclidean plane. [2]
When Ω is a ball, the above inequality is called a (p,p)-Poincaré inequality; for more general domains Ω, the above is more familiarly known as a Sobolev inequality. The necessity to subtract the average value can be seen by considering constant functions for which the derivative is zero while, without subtracting the average, we can have ...
For instance, to solve the inequality 4x < 2x + 1 ≤ 3x + 2, it is not possible to isolate x in any one part of the inequality through addition or subtraction. Instead, the inequalities must be solved independently, yielding x < 1 / 2 and x ≥ −1 respectively, which can be combined into the final solution −1 ≤ x < 1 / 2 .
where , is the inner product.Examples of inner products include the real and complex dot product; see the examples in inner product.Every inner product gives rise to a Euclidean norm, called the canonical or induced norm, where the norm of a vector is denoted and defined by ‖ ‖:= , , where , is always a non-negative real number (even if the inner product is complex-valued).
The rearrangement inequality can be regarded as intuitive in the following way. Imagine there is a heap of $10 bills, a heap of $20 bills and one more heap of $100 bills.
There is no corresponding upper bound as any of the 3 fractions in the inequality can be made arbitrarily large. It is the three-variable case of the rather more difficult Shapiro inequality, and was published at least 50 years earlier.
The Koebe function is defined by = = =Application of the theorem to this function shows that the constant / in the theorem cannot be improved, as the image domain does not contain the point = / and so cannot contain any disk centred at with radius larger than /.
Ad
related to: compound inequalities with no solution answer sheet 5th quarter freeeducation.com has been visited by 100K+ users in the past month
This site is a teacher's paradise! - The Bender Bunch