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Algebra
     1. n. algebra
algebraische
     1. adj. form of algebraisch
Struktur
     1. n-f. structure
in
     1. prep. (with dative) in, inside, within, at (inside a building)
           Es ist in dem Haus. - It is in the house.
           Ich habe die Schlüssel im (in dem) Kühlschrank gefunden. - I found the keys in the refrigerator.
           Unsere Kinder sind in der Schule. - Our kids are at school.
           Er ist in einem Café. - He is at a coffee shop.
           Letzte Nacht waren sie im (in dem) Club. - They were at the club last night.
     2. prep. (with dative) in (pertaining to)
           in diesem Sinne - in this/that sense
     3. prep. (with dative) in, at, by (at the end of or during a period of time)
           Er schloss sein Studium im Alter von vierzehn. - He completed his studies at/by the age of fourteen.
           im Alter - in old age
           im Mittelalter - during the middle ages
           in den 1960er Jahren - in the 1960s
     4. prep. (with accusative) into, to (going inside (of))
           Er geht ins Haus. - He goes into the house.
           Wir gehen in die Schweiz. - We are going to Switzerland.
           Wir treten in ein neues Zeitalter ein. - We are coming into a new age.
     5. adj. in, popular (in fashion)
der
     1. art. the
     2. art. feminine singular of der
     3. art. genitive plural of der
     4. pron. who; that; which
           Ich kenne einen Mann, der das kann. - I know a man who can do that.
     5. pron. feminine dative singular of der: (to) whom, which, that
     6. pron. (attributive, stressed) that
           Der Mann war es! - It was that man!
     7. pron. (indicative) him, he
           Der hat es getan! - It was him who did it!
     8. pron. (differential) the one, him
           Der mit dem Mantel - The one with the coat
     9. pron. feminine dative singular of der: (to) that, (to) her
das
     1. art. singular of der: the
     2. pron. singular of der
     3. pron.          (relative) who, that, which
                   Ich kenne ein Mädchen, das das kann. - I know a girl who can do that.
                   Das kann es nicht geben. - This is nothing that could possibly exist.
     4. pron.          (demonstrative) this, that, it
                   Das ist mein Haus. - This is my house.
                   er - Er wissen
                   Ich hab das nicht. - I don’t have it. (i.e. the thing mentioned)
     5. pron.          (regional, northern Germany) it (subject of an impersonal verb)
                   Das regnet schon wieder. - It’s raining again.
                   Wissen Sie, wie spät das ist? - Do you know what time it is?
     der
          1. art. the
          2. art. feminine singular of der
          3. art. genitive plural of der
          4. pron. who; that; which
                Ich kenne einen Mann, der das kann. - I know a man who can do that.
          5. pron. feminine dative singular of der: (to) whom, which, that
          6. pron. (attributive, stressed) that
                Der Mann war es! - It was that man!
          7. pron. (indicative) him, he
                Der hat es getan! - It was him who did it!
          8. pron. (differential) the one, him
                Der mit dem Mantel - The one with the coat
          9. pron. feminine dative singular of der: (to) that, (to) her
Rechnen
     1. n. (gerund of rechnen), arithmetic
     2. v. to count, reckon, calculate, compute
     3. v. to expect (+preo, mit)
           Damit haben die Fans nicht gerechnet. - Here's something fans never thought they'd see.
           Damit habe ich nicht gerechnet. - I really wasn't expecting this.
in
     1. prep. (with dative) in, inside, within, at (inside a building)
           Es ist in dem Haus. - It is in the house.
           Ich habe die Schlüssel im (in dem) Kühlschrank gefunden. - I found the keys in the refrigerator.
           Unsere Kinder sind in der Schule. - Our kids are at school.
           Er ist in einem Café. - He is at a coffee shop.
           Letzte Nacht waren sie im (in dem) Club. - They were at the club last night.
     2. prep. (with dative) in (pertaining to)
           in diesem Sinne - in this/that sense
     3. prep. (with dative) in, at, by (at the end of or during a period of time)
           Er schloss sein Studium im Alter von vierzehn. - He completed his studies at/by the age of fourteen.
           im Alter - in old age
           im Mittelalter - during the middle ages
           in den 1960er Jahren - in the 1960s
     4. prep. (with accusative) into, to (going inside (of))
           Er geht ins Haus. - He goes into the house.
           Wir gehen in die Schweiz. - We are going to Switzerland.
           Wir treten in ein neues Zeitalter ein. - We are coming into a new age.
     5. adj. in, popular (in fashion)
den
     1. art. masculine accusative singular of der
     2. art. dative plural of der
     3. pron. that; whom; masculine accusative singular of der
Vier
     1. n-f. four (digit or figure 4)
     2. num. (cardinal) four (numerical value represented by the Arabic numeral 4; or describing a set with four elements)
Grundrechenarten
möglich
     1. adj. (chiefly predicative) possible (what can be done or achieved)
           Es ist möglich, ungesund zu essen und trotzdem gesund zu bleiben. - It is possible to eat unhealthily and stay healthy nonetheless.
     2. adj. potential; likely
           Die möglichen Folgen des Klimawandels sind kaum abzusehen. - The potential consequences of climate change are barely predictable.
     3. adj. (colloquial idiomatic with alle, alles) a whole bunch of; a great deal of; a lot of; many
           Mein Freund hat mir gestern alle möglichen Reggaesongs vorgespielt. - My boyfriend made me listen to a whole bunch of reggae songs yesterday.
ist
     1. v. third-person singular present of sein
     sein
          1. v. (copulative, with a predicate adjective or predicate nominative) to be
                Das ist schön. - That is beautiful.
                Das ist ein Auto. - That is a car.
          2. v. (with a dative object and certain adjectives) to feel, (to experience a condition)
                Usage: In this sense sein is always conjugated in the third person singular and takes a Dative noun. The impersonal subject es may be present, but is often taken as implied. For example: "Mir i
                Ist dir kalt? - Are you cold?
                Mir ist schlecht. - I'm sick.
                Dem Mann ist schwindelig. - The man feels dizzy.
                Den Kindern ist langweilig. - The children are bored.
          3. v. (with a dative object and nach or danach, sometimes with zumute) to feel like, to be in the mood for
                Usage: As in the previous sense sein takes a Dative noun and is always conjugated according to the impersonal subject es, although it is usually omitted.
                Uns ist nach einem Film zumute. - We feel like watching a movie.
                Mir ist nicht danach. - I don't feel like it.
          4. v. (auxiliary) forms the present perfect and past perfect tenses of certain intransitive verbs
                Er ist alt geworden. - He has become old.
          5. v. to exist; there to be; to be alive
                Was nicht ist, kann noch werden. (a common proverb) - That which does not exist now, may come into existence.
                Wenn ich nicht mehr bin, erbst du das Haus. - When I am no more, you'll inherit the house.
          6. v. to have the next turn (in a game, in a queue, etc.)
                Du bist. - It’s your turn.
                Du bist nach mir. - Your turn is after mine.
          7. v. to be "it"; to be the tagger in a game of tag
                Du bist! - You're it!
                Ich bin nicht mehr. - I'm not it anymore.
          8. det. his
                Daniel schickt seiner Schwester eine SMS. - Daniel is sending a text to his sister.
                Der Kater spielt oft mit seinen Spielsachen. - The cat often plays with his toys.
          9. det. its (agreeing with a masculine or neuter noun)
                der Mond und sein Licht - the moon and its light
                das Schaf und seine Lämmer - the sheep and its lambs
          10. det.          (informal) Used to express an approximate number, often with so.
                        Der kostet so seine zweihundert Euro. - That one costs around two hundred euros.
          11. det. one's
                Man muss seinem Herzen folgen. - One must follow one’s heart.
Dictionary entries from Wiktionary