difference between anyway, by the way

anyway - (ямартай ч, юутай ч)  - in spite of the fact that you have just mentioned. 
- used when you are ignoring details so that you can talk immediately about the most important thing:
1)in spite of the fact that you have just mentioned:
    --- This idea probably won't work, but let's try it anyway.
2)used when adding a remark which shows that the fact just mentioned is not important:
     ---- They didn't have any trainers in my size, and anyway I'd already 
3)spoken used when you are ignoring details so that you can talk immediately about the most important            thing:
     ---- He got lost and spent hours looking for the station, and anyway it was past midnight by the                 time he got home.
4) spoken used when you are changing the subject of a conversation or returning to a previous subject:
         ---- Anyway, how are you?
by the way - (ингэхэд)used to introduce a comment or question that is not directly related to what you have been talking about

difference between inverse, reverse, and converse

inverse - adjective(урвуу)Typically, inverse refers to a vertical swapping of of something, like 2/4 is the inverse of 4/2.
1 [only before noun] opposite in amount or position to something else
        ----- There is often an inverse relationship between the power of the tool and how easy it is to use.
reverse - adjective(үсрэг тал, эсрэг дараалал, хөндлөнгөөрөө урвуу)Reverse usually refers to the horizontal swapping of something like 2x3 is the reverse of 3x2.
[only before noun]

reverse order/situation/process etc

the opposite order etc to what is usual or to what has just been stated:
     ---- to travel in the reverse direction
converse - adjective, noun(үсрэг утга, эсрэг logic)Converse is usually used in a logical sense. 

formal the opposite or

difference between propose and offer

offer - (санал болгох)to ask someone if they would like to have something, or to hold something out to them so that they can take it. Offer to pay for the ice cream
1)[transitive] to ask someone if they would like to have something, or to hold something out to them so that they can take it
       ----- Can I offer you something to drink?
2)[intransitive and transitive] to say that you are willing to do something:
      ---- I don't need any help, but it was nice of you to offer.
3)[transitive] to provide something that people need or want
        ---- Your doctor should be able to offer advice on diet.
propose - (санал тавих)to formally suggest a course of action at a meeting and ask people to vote on it
Propose we go eat ice cream --Propose is the most formal.

difference between aim, objective and goal

aim - noun, verb(зорилт, оньлолт, зорилго, хүрэх зорилго) 1)aim is short- term
2)An aim is your general idea of how you'll get it! E.g. To become slimmer by doing more exercise.
3) An aim is a try for a goal, whether you succeed or not
4) "Goal" and "aim" are almost the same to me. They appear to describe the purposes of a certain plan or project.
1 [countable] something you hope to achieve by doing something
        ---- The aim of the research is to find new food sources.
2 take aim

    to point a gun or weapon at someone or something you want to shoot

          ---- Alan took aim at the target.
objective - noun, adjective(хүсэл эрмэлзэл, эрмэлзэл, санаархал)1)An Objective is your exact idea/step by step plan of how you'll achieve your goal.
2) First you have your objective, then you aim, shoot and you will have your goal.

 3) objective is why you want to achieve them.

4) An objective is to try to aim to score a goal
something that you are trying to achieve
      ---- the main/primary/principal objective
goal - noun(зорьсон зорилго, урдаа тавьсан зорилго)Goals are often long-term, and relate to people's life and career plans or the long-term plans of a company or organization. and  goal is a target or a desired result. 
example1  A goal is what you want to get. E.g. I want to be slimmer so that I can buy loads of fab new clothes! 
example 2 First you have your objective, then you aim, shoot and you will have your goal.

1 something that you hope to achieve in the future [= aim]:
        ---- His ultimate goal was to set up his own business.
purpose - (хүссэн зорилго, яваа хэрэг зориг) 1)purpose is the reason you aim to achieve that target or goal 
2)why do you want to do this
1 [countable usually singular] the purpose of something is what it is intended to achieve
      ---- The purpose of this meeting is to elect a new chairman.
      ---- What is the purpose of your visit?
2 [plural] the reasons that explain why something is needed or why it is considered in a particular way
     ---- Several of the items had religious purposes.

difference between consist of and comprise

consist - (бүрдэх)
to be formed from two or more things or people:

consist of something 

phrasal verb      ---- The buffet consisted of several different Indian dishes.
comprise - (бүрэлдэх)
1 to consist of particular parts, groups etc
      ---- The house comprises two bedrooms, a kitchen, and a living room.
2 [transitive] to form part of a larger group of people or things
      ---- Women comprise a high proportion of part-time workers.

difference between consist and comprise

(Is there any difference between "to comprise" and "to consist [of]"?

The staff comprises ten teachers.

The staff consists of ten teachers.)

difference between therefore, furthermore, and in addition (to)

these words always show two ideas 1 + 1 = 2. for example, In addition to these arrangements, extra ambulances will be on duty until midnight. ---- this sentence shows two ideas

in addition (to) --- (үүнээс гадна, үүн дээр) the most common 
furthermore --- (цаашилбал) next most formal (in middle of two words in addition and moreover)
moreover ---(түүнээс дээгүүр, тэрч байтугай) the most formal