To build on what Foogood wrote, consider the following sentences:

Annie was in the window, while her sick sister lay in bed, watching their aunt in the TV.

Clara was inside the window, while her sick sister lay inside the bed, watching their aunt in the TV.

Here, the first one sounds OK, while the second one implies a bizarre situation in which the three women are literally inside the physical constraints of the window, bed and TV – perhaps into the two panes of glass, in between the box-springse

Another example.

She was the store.

She was inside the store.

Both mean technically the same thing but inside puts stress on her location being within the walls of the store. Can we understand in is a bit loosely (are the stalls that often stand in front of store entrances part of store without giving a definition for which area)? Does looking through them imply you’re in the store or in front of the store?.

Now, now, I have a few examples.

See here, it seems that someone is inside the house.

See there, it seems that someone is in a house.

Both sounds more natural, and since they are both generally accepted to be one way to be in a house. You can read both. If Alice in Wonderland’s massive body were made to look like she had been growing too fast, her legs and arms would all be sticking out through the windows. So she would say that she was “in the house, but not inside the house” -that is, not fully inside the confines of the house.

Medicine found two bullets in his body. The doctors found no bullets in his life.

Two pellets were found in the groin of a diabetic. Doctors went to find him alive.

Here, however, there’s a slight difference in between the two:

• the bullets inside his body may have been lodged skin-deep – they were likely painful and difficult to remove, but may not have required an operation, may have been visible from the outside, etc etc;

• meanwhile, the bullets inside his body would likely have been found during an operation, an autopsy, etc. – they’re wedged inside the body, much the same way Clara’s family has a tendency to be inside objects they shouldn’t be.

Such structures allow us to distinguish between the idea that a bullet might be twice-in-half-out of a body and that it was completely inside.

How are people halfway in a house different?

While both structures are grammatically sound, they carry with them slightly different implications:

• surrounded by something on all sides (PEU), inside means

• the same thing, “more”: “completely within the confines of” Note that while

inside specifies this is not fully within the confines – it’s just that while inside specifies this, in doesn’t (and so can also be used in other situations, such as the window case mentioned above, where Annie isn’t even partially in the window, except in

• “project” needs an article: “The project…”
• “is aiming” should be in the present simple: “…aims to present a method…”
• as regards your actual question, I would suggest “…using the algorithm to ensure…”