## Algorithm for dividing a range into ranges and then finding which range a number belongs to

Having

• a minimum
• a maximum
• number of ranges
• a value between minimum and maximum

I’m trying to come up with a method, or two, which would calculate which range the provided value belongs to.

For min=1, max = 10, number of ranges=5 the ranges would be [1,2],[3,4],[5,6],[7,8],[9-10]

The other method would behave like shown below:

• method(1)->[1-2]
• method(2)->[1-2]
• method(3)->[3-4]
• method(4)->[3-4]
• method(5)->[5-6]
• method(6)->[5-6]
• method(7)->[7-8]
• method(8)->[7-8]
• method(9)->[9-10]
• method(10)->[9-10]

This would be used for generating a legend for a map where the size of the marker depends on the range a value belongs to.

I wonder if there is a nice algorithmic solution for this.

The numbers I work with are integers.

Edit:

Another example:

For min=1, max = 3, number of ranges=2 the ranges would be

a) [1-2],[3-3]

or

b) [1-1],[2-3]

The other method would behave like shown below:

a)

• method(1)->[1-2]
• method(2)->[1-2]
• method(3)->[3-3]

or b)

• method(1)->[1-1]
• method(2)->[2-3]
• method(3)->[2-3]

I don’t have a preference for a) or b).

## Find out google drive user name belongs to [duplicate]

Someone hacked my drive. I have it fixed and I recovered everything, But how do I find out who is behind the user name LALA LALA.

## How to get total amount of reviews belongs to one category? [Magento 1.9]

I am trying to generate SEO rich data in magento category page or listing page. I just dont understand how can i get total amount of reviews that category got. I dont want to slow down the category page.

Is it possible to get that by directly execution sql command?

## This code belongs to Equalization with Histogram

My Code brings up this error that “module ‘scipy.misc’ has no attribute ‘fromimage’ “. I have been working on this installed all the packages, still I am not getting any positive result.

## One Drive belongs to BIng??

DOes one drive belongs to Bing..
If yes, I would like to share my experiences of One Drive with you here..and an Issue I faced with them after 18-19 years of trust .. what they did with me.?

## If alghorithm solves NP problem, for what f(n) can we claim that R belongs to TIME(f(n))?

This is my problem:

Suppose that for the problem R belongs to NP the algorithm of solution check M(x,y) runs in time O(n^3) and uses additional information y, which is long ≤5 log n bits. For what f(n) can we claim that R belongs to TIME(f(n))?

I have no idea how can I know what must to be f(n) that R belongs to TIME(f(n)). Every suggestions are very welcome!

## Excel : Summation of data which belongs to certain id

This is my first post in stack exchange. please bear with me and I accept any advice for questioning ethic.

It is easier to illustrate the problem based on the following example:

I have 2 sheets : mapping and data.

1. This Mapping sheet contains a mapping table between a country name and the corresponding ID

2. This table (from Data sheet) contains the country name with the corresponding GDP

The objective is to create a summary table which maps the group id with the SUM of GDP in a seperate sheet

I tried to use the SUM IFS formula as recommended here. They propose the following formula based on their own example.

=SUM(SUMIFS(sum_range,criteria_range,{“blue,”red”}))

However, the challenge arises due to 2 reasons:

1. I cannot list down the ID in an array form as I have many ID variations. Also, the actual ID consists of both numbers and alphabets.
2. I must follow a guideline not to merge the tables into a single sheet.

## Could we always find a curve on the manifold whose tangent vector always belongs to a linear subspace?

Suppose we have a smooth manifold $$M$$ and the tangent space of every point $$x \in M$$ has non-empty intersection with a given linear subspace. Could we find a curve on $$M$$ such that the tangent vector of point on thus curve always belongs to this linear subspace?

$$\textbf{My attempt:}$$ If the dimension for the linear subspace is one or two, I think I can find the curve. But I don’t know if the dimension is bigger than two?

## If $f$ belongs to $M^{+}$ and $c \ge 0$ then $cf$ belongs to $M^{+}$ and $\int cf = c\int f$

If $$f$$ belongs to $$M^{+}$$ and $$c \ge 0$$ then $$cf$$ belongs to $$M^{+}$$ and $$\int cf = c\int f$$.

I need to proove that, using the following observation:

if $$f\in M^{+}$$ and $$c>0$$, then the mapping $$\varphi \rightarrow \psi = c\varphi$$ is a one-toone mapping between simple function $$\varphi \in M^{+}$$ with $$\varphi \le f$$ and simple functions $$\varphi$$ in $$M^{+}$$ with $$\psi \le cf$$.

I know that this question is already answer here:One-to-one mapping of simple functions $\phi \to \psi = c\,\phi$ implies $\int cf\,d\mu = c \int f\,d\mu$ ?

But I can’t follow the verbal explanation.

My original idea was to proove $$c \int f \le \int cf \le c\int f$$ But I can’t… some idea?