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mit
     1. prep. with (in the company of; alongside)
           Ich spiele mit meinen Freunden. - I'm playing with my friends.
     2. prep. with, by (using as an instrument; by means of)
           Ich schreibe mit einem Bleistift. - I'm writing with a pencil.
           Ich fahre mit dem Bus. - I'm going by bus.
     3. prep. with (as an accessory to)
     4. prep. with (having)
     5. prep. at (with the age of)
     6. prep. with, including, with ... included
     7. adv. among; denotes a belonging of a person or a thing to a group
           Hier gibt es mit das beste Essen in der Stadt. - Here they have some of the best food in town.
           Ich war mit der erste, der hier war. - I was one of the very first who arrived.
     8. adv. also, too (in addition; besides; as well)
     9. adv. (somewhat, informal) with (something), with it
           Ich brauch nicht unbedingt Majonäse zu den Fritten, aber mit sind sie natürlich besser. - I don't necessarily need mayonnaise with the chips, but they taste better with it, of course.
diesem
     1. pron. dative singular of dieser
     dieser
          1. pron. this one, this
          2. pron. that one, that
Programm
     1. n. program (set of structured ideas or activities; a list thereof)
     2. n. (TV, radio) schedule; programming (whole of a station’s shows; their chronological order; a list thereof)
     3. n.          loosely, dated ellipsis of Fernsehprogramm; television station
                   Die Sendung läuft im dritten Programm.
     4. n.          (loosely) a single item of this schedule; a program; show
     5. n. (computer) program
kann
     1. v. first-person singular present of können
     2. v. third-person singular present of können
     können
          1. v. to be able (to do or be something), to have the possibility of; can.
          2. v.          (auxiliary)
                        Kannst du ihm helfen? - Are you able to help him?
                        Ich hätte das machen können. - I could have done that.
                        Das kann sein, kann aber auch nicht sein. - This may be and may also not be.
                        Das kann es nicht geben. - This is nothing that could possibly exist.
          3. v.          to be able to do something implied; can.
                        Nein, ich kann nicht. - No, I can’t.
                        Er hat gekonnt. - He was able to do it.
          4. v.          to know how to do (something); to know; to understand; to be able to do (something); to be capable of; can do (something), to have a specific skill. (w
                        Ich kann Deutsch und Englisch. - I know German and English.
                        Kannst du es? - Can you do it?
                        Das hätte ich nicht gekonnt. - I couldn’t have done that. / I wouldn’t have been capable of that.
          5. v.          to be possible, to make sense
                        Nächstes Jahr is’n Schaltjahr. – Das kann nich’. Letztes Jahr war doch Schaltjahr! - Next year is a leap year. – That’s not possible. Last year w
          6. v.          (auxiliary) to be allowed (to do something); to be permitted (to do something); may.
                        Kann ich mitkommen? - May I come along?
                        Er hat nicht ins Kino gehen können. - He was not allowed to go to the cinema.
          7. v.          (auxiliary) to be in the legal situation of being able to realize a legal effect even if it be legally disallowed
                        
man
     1. pron. one, you (indefinite pronoun; construed as a third-person singular)
           Man kann nicht immer kriegen, was man will. - You can’t always get what you want.
           Manchmal muss man Kompromisse machen. - Sometimes one must compromise.
     2. pron. they, people (people in general)
           Zumindest sagt man das so... - At least that’s what they say...
     3. pron. someone, somebody (some unspecified person)
     4. pron. they (some unspecified group of people)
     5. adv. (colloquial regional northern Germany) just; only
           Komm man hier rüber! - Just come over here!
           Das sind man dreißig Stück oder so. - These are only thirty or so.
ganz
     1. adj. entire, whole, complete
           Er hat ein ganzes Hähnchen gegessen. - He ate a whole chicken.
     2. adj. (informal) all (with definite article or determiner)
           Ich hab meine ganzen Freunde eingeladen. - I’ve invited all my friends.
     3. adj. (colloquial) whole, intact
           Ist die Tasse noch ganz? - Is the cup still whole?
     4. adj. (in certain combinations) true; real
           uxi, ein ganzer Kerl, a true man
     5. adj. (mathematics) integer (of a number)
     6. adv. quite, rather
     7. adv. very
     8. adv. wholly, entirely, all
mühelos
     1. adj. effortless
Auch
     1. Proper noun. , common in Southern Germany as an occupational surname for those who watched livestock at night
     2. adv. also; too; as well (in addition to whatever or whoever has previously been listed)
           Ich will auch ein Eis. - Stress on “auch”: I too want icecream.
           Ich will auch ein Eis. - Stress on “Eis”: I want icecream, too.
     3. adv. Used for emphasis.
     4. adv.          (To confirm a preceding statement by someone else): really, actually, indeed, in fact
                   Ich will auch ein Eis. - Stress on “will”: I do indeed want icecream.
                   Das ist auch so. - Stress on “ist”: It really is like that.
                   Du solltest zur Polizei gehen. ― Mach ich auch. - You should go to the police. ― I will.
     5. adv.          (To ask for confirmation of something one considers necessary.)
                   Hast du das Licht auch ausgemacht? - Did you make sure to turn off the light?
     6. adv.          (To imply that something is unreasonable.)
                   Du bist auch witzig... Wie soll ich das denn ohne Auto alles schaffen?! - You’re oh so ingenious... How am I supposed to get all of this done wit
                   Warum müssen die auch alle ihren Müll hier abladen! - Why do they all have to dump their rubbish here!
     7. adv. even ((implying an extreme example in the case mentioned, as compared to the implied reality))
           Auch wenn das stimmt, ist es noch kein endgültiger Beweis. - Even if this is true, it is no definite proof.
           Auch ein Professor schreibt schon mal was falsch. - Even a professor may misspell something at times.
     8. adv. ever (as in whatever, whenever, however, etc.)
           Was du auch tust, es wird immer einer besser sein. - Whatever you do, someone will always do it better.
     9. interj. (in answering a yes-no question, used to express that the thing asked about covers part of the truth but not all of it); “yes, and more”
           Ach, du bist Bauingenieur. Dann baust du Brücken? — Auch. - Oh, you’re a construction engineer. So you build bridges? — Yeah. And other things, too.
Komplexe
     1. n. plural of Komplex
     2. adj. form of komplex
     komplex
          1. adj. complex, sophisticated, involved
Gleichungen
     1. n. plural of Gleichung
     Gleichung
          1. n-f. equation, equality
lösen
     1. v. to loose; to loosen; to detach; to remove
           (etwas) von (etwas anderes) lösen - "to remove (something) from (something else)".
     2. v. to separate
     3. v. to cast off; to remove
     4. v. to solve; to resolve; to answer
     5. v. to come loose
     6. v. to dissolve
     7. v. (of a ticket) to buy
           eine Fahrkarte lösen - to buy a ticket
     8. v. to release; to undo; to untie; to ease
     9. v. to dissolve; to disband; to break up; to end
Dictionary entries from Wiktionary