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graphs

/ɡræfs/ /ɡrɑːfs/

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 graphs showing student test scores over the past three years illustrate a clear upward trend in performance. "
Die Diagramme, die die Testergebnisse der Schüler der letzten drei Jahre zeigen, veranschaulichen einen deutlichen Aufwärtstrend in der Leistung.
math statistics science number technical computing
noun

Diagramme, Schaubilder

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 graphs of the students' test scores show a clear upward trend over the semester. "
Die Diagramme der Testergebnisse der Schüler zeigen einen deutlichen Aufwärtstrend über das Semester hinweg.
math statistics computing function science number
noun

Graphen, Diagramme

(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 computer science student learned about graphs, which are used to represent connections between friends on social media. "
Der Informatikstudent lernte etwas über Graphen, die verwendet werden, um Verbindungen zwischen Freunden in sozialen Medien darzustellen.
math computing structure
noun

Graphen

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 computer program used graphs to visualize the relationship between different family members' ages. "
Das Computerprogramm verwendete Graphen, um die Beziehung zwischen den Alter der verschiedenen Familienmitglieder zu visualisieren.
math space structure technical
noun

Graph, Abbildungsgraph

(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 :

"In category theory, the graphs of functions are essential for understanding their behavior in terms of mappings between objects. "
In der Kategorientheorie sind die Graphen von Funktionen unerlässlich, um ihr Verhalten in Bezug auf Abbildungen zwischen Objekten zu verstehen.
math technical
noun

Graph, Schriftzeichen

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 font designer studied the graphs of various 'a's, focusing on their basic loop and stem shapes, rather than how each one looked in a specific font like Times New Roman or Arial. "
Der Schriftgestalter studierte die Graphen verschiedener 'a's und konzentrierte sich dabei auf ihre grundlegenden Schleifen- und Strichformen, anstatt darauf, wie sie in einer bestimmten Schriftart wie Times New Roman oder Arial aussahen.
language linguistics writing character technical type sign communication

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 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 understanding

understanding verb

/ʌndəˈstandɪŋ/ /ˌʌndəɹˈstændɪŋ/

Begreifen, verstehen

"The teacher patiently explained the math problem, and the students were able to understand the steps involved. "

Der Lehrer erklärte geduldig das Matheproblem, und die Schüler konnten die beteiligten Schritte verstehen.

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 performance

performance noun

[pə.ˈfɔː.məns] [pɚ.ˈfɔɹ.məns]

Aufführung, Leistung, Darbietung

"the performance of an undertaking or a duty"

Die Ausführung eines Unternehmens oder einer Pflicht.

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.