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graph

/ɡɹæf/ /ɡɹɑːf/

Meanings
noun

Diagramm, Darstellung

(applied mathematics) A data chart (graphical representation of data) intended to illustrate the relationship between a set (or sets) of numbers (quantities, measurements or indicative numbers) and a reference set, whose elements are indexed to those of the former set(s) and may or may not be numbers.

Examples :

"The graph showed how the number of hours studied per week correlated with students' test scores. "
Das Diagramm zeigte, wie die Anzahl der Stunden, die pro Woche gelernt wurde, mit den Testergebnissen der Schüler korrelierte.
math statistics number science technical
noun

Graph, grafische Darstellung

A set of points constituting a graphical representation of a real function; (formally) a set of tuples (x1, x2, \ldots, xm, y)\in\R^{m+1}, where y=f(x1, x2, \ldots, xm) for a given function f: \R^m\rightarrow\R.

Examples :

"The graph of the student's test scores showed a steady improvement throughout the year. "
Die grafische Darstellung der Testergebnisse des Schülers zeigte über das ganze Jahr eine stetige Verbesserung.
math statistics function figure
noun

Graph, Diagramm

(formally) An ordered pair of sets (V,E), where the elements of V are called vertices or nodes and E is a set of pairs (called edges) of elements of V; (less formally) a set of vertices (or nodes) together with a set of edges that connect (some of) the vertices.

Examples :

"The social graph of my family shows strong connections between my aunts and uncles, who often get together for holidays. "
Das soziale Diagramm meiner Familie zeigt starke Verbindungen zwischen meinen Tanten und Onkeln, die sich oft zu Feiertagen treffen.
math computing science technical
noun

Ein topologischer Raum, der einen Graphen darstellt

A topological space which represents some graph (ordered pair of sets) and which is constructed by representing the vertices as points and the edges as copies of the real interval [0,1] (where, for any given edge, 0 and 1 are identified with the points representing the two vertices) and equipping the result with a particular topology called the graph topology.

Examples :

"The social network graph showed how many friends each student had in the class. "
Der soziale Netzwerk-Graph zeigte, wie viele Freunde jeder Schüler in der Klasse hatte.
math space structure technical
noun

Graph

(of a morphism f) A morphism \Gammaf from the domain of f to the product of the domain and codomain of f, such that the first projection applied to \Gammaf equals the identity of the domain, and the second projection applied to \Gamma_f is equal to f.

Examples :

"The graph of the function that shows how many hours each student studied for the math exam related the number of hours studied to the exam score. "
Der Graph der Funktion, der zeigt, wie viele Stunden jeder Schüler für die Matheprüfung gelernt hat, setzte die Anzahl der Lernstunden mit der Punktzahl der Prüfung in Beziehung.
math technical
noun

Graph, grafische Einheit

A graphical unit on the token-level, the abstracted fundamental shape of a character or letter as distinct from its ductus (realization in a particular typeface or handwriting on the instance-level) and as distinct by a grapheme on the type-level by not fundamentally distinguishing meaning.

Examples :

"The graph of the letter "a" is the same regardless of whether it's printed in a book, written by hand, or typed on a computer. "
Der Graph des Buchstabens „a“ ist derselbe, egal ob er in einem Buch gedruckt, handschriftlich geschrieben oder auf einem Computer getippt wurde.
language linguistics writing sign type word technical

Related Words

Illustration connections

connections noun

/kəˈnɛkʃənz/

Verbindung, Anschluss

"The connections between the computer and the printer were loose, so it wasn't working. "

Die Verbindungen zwischen dem Computer und dem Drucker waren locker, daher funktionierte er nicht.

Illustration mathematics

mathematics noun

/mæθ(ə)ˈmætɪks/

Mathematik, Mathematiklehre

"Mathematics helps us understand the relationship between different shapes in our daily lives. "

Mathematik hilft uns, die Beziehung zwischen verschiedenen Formen in unserem täglichen Leben zu verstehen.

Illustration fundamentally

fundamentally adverb

/ˌfʌndəˈmɛntəli/ /ˌfʌndəˈmɛnəli/

Grundsätzlich, im Wesentlichen

"Fundamentally, good grades depend on consistent study habits. "

Grundsätzlich hängen gute Noten von konsequenten Lerngewohnheiten ab.

Illustration representing

representing verb

/ɹɛpɹɪˈzɛntɪŋ/

Darstellen, repräsentieren, verkörpern

"The student is representing the country of France in the class presentation. "

Der Student repräsentiert Frankreich in der Klassenpräsentation.

Illustration representation

representation noun

/ˌɹɛp.ɹə.zɛn.ˈteɪ.ʃən/

Darstellung, Repräsentation

"The Venus of Willendorf was an early representation of the female body."

Die Venus von Willendorf war eine frühe Darstellung des weiblichen Körpers.

Illustration fundamental

fundamental noun

/ˌfʌndəˈmɛntəl/

Grundsatz, Prinzip

"one of the fundamentals of linear algebra"

Einer der Grundsätze der linearen Algebra.

Illustration constituting

constituting verb

/ˈkɒnstɪˌtjuːtɪŋ/ /ˈkɑːnstəˌtuːtɪŋ/

Gründen, einrichten, erlassen

"The school principal is constituting a new student advisory board to improve communication. "

Der Schulleiter gründet einen neuen Schülerrat, um die Kommunikation zu verbessern.

Illustration distinguishing

distinguishing verb

/dɪˈstɪŋɡwɪʃɪŋ/ /dɪˈstɪŋɡwɪʃɪn/

Unterscheiden, differenzieren

"The bright red stripe is distinguishing that brand of running shoe from all the others. "

Der leuchtend rote Streifen unterscheidet diese Laufschuhmarke von allen anderen.

Illustration improvement

improvement noun

/ɪmˈpɹuːvmənt/

Verbesserung, Steigerung

"The improvement in her math scores was noticeable after she started attending extra tutoring sessions. "

Die Verbesserung ihrer Mathe-Noten war bemerkenswert, nachdem sie angefangen hatte, zusätzliche Nachhilfestunden zu nehmen.

Illustration constructed

constructed verb

/kənˈstɹʌktəd/

Bauen, errichten, konstruieren

"We constructed the radio from spares."

Wir haben das Radio aus Ersatzteilen gebaut.

Illustration relationship

relationship noun

/ɹɪˈleɪʃ(ə)nʃɪp/ /ɹɪˈleɪʃənˌʃɪp/

Beziehung, Verhältnis

"My teacher has a good relationship with all her students. "

Meine Lehrerin hat ein gutes Verhältnis zu all ihren Schülern.

Illustration measurements

measurements noun

/ˈmɛʒərmənts/ /ˈmɛʒərˌmɛnts/

Messung, Vermessung

"The baker carefully recorded the measurements of all the ingredients to make sure the cake would turn out perfectly. "

Der Bäcker notierte sorgfältig die Messungen aller Zutaten, um sicherzustellen, dass der Kuchen perfekt gelingen würde.