| 释义 |
graph
-graph(word root) writingExamples of words with the root -graph: lithograph graph1top: bar graphbottom: line graphgraph 1 G0233100 (grăf)n.1. A diagram that exhibits a relationship, often functional, between two sets of numbers as a set of points having coordinates determined by the relationship. Also called plot.2. A pictorial device, such as a pie chart or bar graph, used to illustrate quantitative relationships. Also called chart.tr.v. graphed, graph·ing, graphs 1. To represent by a graph.2. To plot (a function) on a graph.
[Short for graphic formula.]
graph 2 G0233100 (grăf)n.1. The spelling of a word.2. Any of the possible forms of a grapheme.3. A written character that represents a vowel, consonant, syllable, word, or other expression and that cannot be further analyzed.
[Greek graphē, writing; see graphic.]graph (ɡrɑːf; ɡræf) n1. (Mathematics) Also called: chart a drawing depicting the relation between certain sets of numbers or quantities by means of a series of dots, lines, etc, plotted with reference to a set of axes. See also bar graph2. (Mathematics) maths a drawing depicting a functional relation between two or three variables by means of a curve or surface containing only those points whose coordinates satisfy the relation3. (Mathematics) maths a structure represented by a diagram consisting of points (vertices) joined by lines (edges)4. (Linguistics) linguistics a symbol in a writing system not further subdivisible into other such symbolsvb (Mathematics) (tr) to draw or represent in a graph[C19: short for graphic formula]graph (græf, grɑf)
n. 1. a diagram representing a system of connections or interrelations among two or more things, as by a number of distinctive dots or lines. 2. Math. a. a series of discrete or continuous points, as in forming a curve or surface, each of which represents a value of a given function. b. a network of lines connecting points. 3. a written symbol for an idea, a sound, or a linguistic expression. v.t. 4. to draw (a curve) as representing a given mathematical function. 5. to represent by means of a graph. [1875–80; see graphic] -graph a combining form meaning “something written, printed, drawn, or incised” ( autograph; lithograph; monograph; pictograph); “an instrument that produces, transmits, or plays back a record, image, or message” ( phonograph; seismograph; telegraph) “the image produced by a camera or similar apparatus” (photograph); “a device or process for writing or printing” ( pantograph; stenograph); “a graph or chart” ( hydrograph);also used as a variant of -gram1 ( holograph; ideograph). [< Greek -graphos (something) drawn or written, one who draws or writes, derivative of gráphein to write, draw; akin to carve] ![]() graphtop to bottom: examples of a pie chart, bar graph, and line graphgraph (grăf)1. A diagram showing the relationship of quantities, especially such a diagram in which lines, bars, or proportional areas represent how one quantity depends on or changes with another.2. A curve or line showing a mathematical function or equation, typically drawn in a Cartesian coordinate system.graph
Past participle: graphed
Gerund: graphing
| Present |
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| I graph | | you graph | | he/she/it graphs | | we graph | | you graph | | they graph |
| Preterite |
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| I graphed | | you graphed | | he/she/it graphed | | we graphed | | you graphed | | they graphed |
| Present Continuous |
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| I am graphing | | you are graphing | | he/she/it is graphing | | we are graphing | | you are graphing | | they are graphing |
| Present Perfect |
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| I have graphed | | you have graphed | | he/she/it has graphed | | we have graphed | | you have graphed | | they have graphed |
| Past Continuous |
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| I was graphing | | you were graphing | | he/she/it was graphing | | we were graphing | | you were graphing | | they were graphing |
| Past Perfect |
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| I had graphed | | you had graphed | | he/she/it had graphed | | we had graphed | | you had graphed | | they had graphed |
| Future |
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| I will graph | | you will graph | | he/she/it will graph | | we will graph | | you will graph | | they will graph |
| Future Perfect |
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| I will have graphed | | you will have graphed | | he/she/it will have graphed | | we will have graphed | | you will have graphed | | they will have graphed |
| Future Continuous |
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| I will be graphing | | you will be graphing | | he/she/it will be graphing | | we will be graphing | | you will be graphing | | they will be graphing |
| Present Perfect Continuous |
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| I have been graphing | | you have been graphing | | he/she/it has been graphing | | we have been graphing | | you have been graphing | | they have been graphing |
| Future Perfect Continuous |
|---|
| I will have been graphing | | you will have been graphing | | he/she/it will have been graphing | | we will have been graphing | | you will have been graphing | | they will have been graphing |
| Past Perfect Continuous |
|---|
| I had been graphing | | you had been graphing | | he/she/it had been graphing | | we had been graphing | | you had been graphing | | they had been graphing |
| Conditional |
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| I would graph | | you would graph | | he/she/it would graph | | we would graph | | you would graph | | they would graph |
| Past Conditional |
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| I would have graphed | | you would have graphed | | he/she/it would have graphed | | we would have graphed | | you would have graphed | | they would have graphed |
Thesaurus| Noun | 1. |  graph - a visual representation of the relations between certain quantities plotted with reference to a set of axesgraphical recordseismogram - the graphical record of an earth tremor made by using a seismographvisual communication - communication that relies on visioncurve - a line on a graph representing datacharacterisic function, characteristic curve - (electronics) graph showing how a particular characteristic of a device varies with other parametersballistocardiogram - a graphical recording made by a ballistocardiographechoencephalogram - a graphical image of the brain produced by an echoencephalographechocardiogram - a graphical image of the heart produced by an echocardiographcardiogram, ECG, EKG, electrocardiogram - a graphical recording of the cardiac cycle produced by an electrocardiographEEG, electroencephalogram, encephalogram - a graphical record of electrical activity of the brain; produced by an electroencephalographelectroretinogram - a graphical recording of the electrical activity of the retina that results when light is flashed into the eyeLaffer curve - a graph purporting to show the relation between tax rates and government income; income increases as tax rates increase up to an optimum beyond which income declineslearning curve - a graph showing the rate of learning (especially a graph showing the amount recalled as a function of the number of attempts to recall)myogram - a graphical recording of muscle activityradiation diagram, radiation pattern, pattern - graphical representation (in polar or Cartesian coordinates) of the spatial distribution of radiation from an antenna as a function of angletachogram - a graphical record of speed and distance produced by a tachographthermogram - a graphical record produced by a thermographexponential curve - a graph of an exponential function | | Verb | 1. | graph - represent by means of a graph; "chart the data"chartinterpret, represent - create an image or likeness of; "The painter represented his wife as a young girl" | | 2. | graph - plot upon a graphdiagram, plot - make a schematic or technical drawing of that shows interactions among variables or how something is constructed |
graphnoun diagram, figure, table, chart, representation As the graph shows, inflation has risen sharply over the last two months.Translationsgraph (graf) noun a diagram consisting of a line or lines drawn to show changes in some quantity. a graph of temperature changes. 圖表 图表，示意图 ˈgraphic adjective1. vivid. a graphic description of an accident. 生動的 生动的2. of painting, drawing etc. the graphic arts. 繪畫的 绘画的ˈgraphically adverb 圖示地 图解地graph paper paper covered in small squares used for drawing graphs on. 繪圖紙 坐标纸，方格纸 IdiomsSeegraph outgraph
graph, figure that shows relationships between quantities. The graph of a function y=f (x) is the set of points with coordinates [x, f (x)] in the xy-plane, when x and y are numbers. A similar definition can be given for functions involving more general kinds of variables. In mathematics interest is almost exclusively in line graphs and what these reveal about the functions they represent. Statistics makes extensive use of both line graphs and bar graphs, in which the lengths of the various bars show the quantities to be compared. Graph is also a mathematical term used in combinatorics to designate a geometric object consisting of vertices and edges (joining pairs of vertices). Such objects have been studied considerably in recent years because of the applicability to such diverse fields as computer networks, game theory, and social psychology.Graph a geometric representation of functional relationships with the aid of a line in a plane. For example, Figure 1 shows the change in atmospheric pressure with time. Graphs are used for the visual representation of functional relation  Figure 1. Graph showing change in atmospheric pressure (in mm Hg) for the period April 24 to May 5
ships and as a visual aid for the study of such relationships; they are also used for a rapid determination of the value of functions from the values of the independent variables. There are many types of graphs. The type of a graph depends on which coordinate system (in a plane) is used as the basis for it. Once the coordinate system is chosen, the graph of the function βξ) is simply a set of points (or the so-called locus) the coordinates of which satisfy the equation y = βξ). In most cases graphs are plotted using the rectangular Cartesian coordinates. Figure 2 shows the graph of the function y = x2 (a parabola). Figure 3 shows the graph of the function  which is a semicircle originating at the point (-1, 0) and terminating at the point (+ 1, 0).  Figure 2. Graph of the function Γ = x2 (Parabola)
 Figure 3.
Note to Figure 3. Graph of the function  (semicircle) In a rectangular coordinate system the scale is the same for both axes. In practice, however, this inconvenient restriction is disregarded, and different scales for each axis are selected such that the best possible utilization of the graph paper can be achieved. Graphs based on other coordinate systems are also used, for instance, the polar coordinate system. This system is particularly convenient when representing the functions of an angular argument. (Figure 4 shows graphs, in a polar coordinate system, of the distribution of luminous intensity emitted in varying directions by three different  Figure 4. Polar diagram of luminous intensity of three types of arc lamps
types of arc lamps.) Sometimes it is expedient to simplify a graph by using some appropriate function of the variables x and y for the coordinates of a point. For instance, if a point with Cartesian coordinates (log x, log y) corresponds to the values of the independent variable and the function—values (x, y)—the graphs of the function y = xn turn out to be straight lines for any value of the exponent n (see Figure 5). Semilogarithmic graph paper and logarithmic graph paper are used to quickly plot such a graph. If the graph is a straight line, it can be constructed from two given points using a ruler; if it is an arc of a circle, it can be drawn from three given points using a compass. In all other cases it becomes necessary to plot a sufficiently large number of given points on paper and then to draw freehand the line connecting these points. This procedure is always  Figure 5. Graph of the function y = xn for n = ½, 1, 2. Log x and Log y are shown on coordinate axes.
somewhat arbitrary and is justified only if a continuous function is assumed. Functions that are not only continuous but also sufficiently “smooth” can be plotted quite accurately with some experience. (A smooth function is one whose second and third derivatives do not change too drastically with a change in the independent variable.) If the graphs of the functions y = Φ1 (x) and y = Φ2(x) are all plotted on the same diagram, their points of intersection will determine the roots of the equation Φ1 (x) = Φ2(x) There are numerous recording devices that automatically plot graphs of an observed functional relationship on paper, bypassing its analytic expression (for instance, a barograph plots a graph of atmospheric pressure as a function of time). Diagrams are frequently used for the graphic representation of a relationship between quantities. In economics and in production management, standard graphs (charts) and planning charts are widely used, as are organizational charts showing the organizational relationships (for instance, the administrative scheme of an industrial plant). In many types of problems it is convenient to simultaneously view several different functions on the same diagram. A typical example of this kind of graph is the traffic chart used in transportation. graph[graf] (mathematics) The planar object, formed from points and line segments between them, used in the study of circuits and networks. The graph of a function ƒ is the set of all ordered pairs [x,ƒ(x)], where x is in the domain of ƒ. The set of all points that satisfy a particular equation, inequality, or system of equations or inequalities. graphical representation graph Maths1. a drawing depicting the relation between certain sets of numbers or quantities by means of a series of dots, lines, etc., plotted with reference to a set of axes 2. a drawing depicting a functional relation between two or three variables by means of a curve or surface containing only those points whose coordinates satisfy the relation 3. a structure represented by a diagram consisting of points (vertices) joined by lines (edges) graph (mathematics)A collection of nodes and edges.
See also connected graph, degree, directed graph, Moore bound, regular graph, tree.graph (graphics)A visual representation of algebraic equationsor data.graphA visual representation of information. See business graphics.graph
graph [graf] a diagram or curve representing data and varying relationships between sets of data.graph (graf), Do not confuse this word with graft.1. A line or tracing denoting varying values of commodities, temperatures, urinary output, etc.; more generally, any geometric or pictorial representation of measurements that might otherwise be expressed in tabular form. 2. Visual display of the relationship between two variables, in which the values of one are plotted on the horizontal axis, the values of the other on the vertical axis; three-dimensional graphs that show relationships between three variables can be depicted and comprehended visually in two dimensions. [G. graphō, to write] graph (graf) Do not confuse this word with graft.1. A line or tracing denoting varying values of commodities, temperatures, urinary output, and the like; more generally, any geometric or pictorial representation of measurements that might otherwise be expressed in tabular form. 2. Visual display of the relationship between two variables, in which the values of one are plotted on the horizontal axis, the values of the other on the vertical axis; three-dimensional graphs that show relationships between three variables can be depicted and comprehended visually in two dimensions. [G. graphō, to write]graph
GraphA representation of numbers signifying different data sets. Graphs are vitally important in tracking past performance of economic data with the aim of predicting its future behavior. For example, a government agency may create a graph of unemployment claims over time. If claims have trended downward, the agency may predict that unemployment may remain low. Graphs are also crucial for technical analysts, who use them to track securities' performance to help make investment decisions. Graphs are also known as charts.graph a means of portraying data in pictorial form that shows the relationship between an INDEPENDENT VARIABLE and a DEPENDENT VARIABLE by labelling and scaling the two axes of the graph to represent the two variables, plotting joint values of the two in the space between the axes and joining these values with a line. Frequently, graphs show time as the independent variable, depicting by means of a line how the dependent variable has changed over time.AcronymsSeeGRFgraph
Related to graph: graph plotter, Graph theorySynonyms for graphnoun diagramSynonyms- diagram
- figure
- table
- chart
- representation
Synonyms for graphnoun a visual representation of the relations between certain quantities plotted with reference to a set of axesSynonymsRelated Words- seismogram
- visual communication
- curve
- characterisic function
- characteristic curve
- ballistocardiogram
- echoencephalogram
- echocardiogram
- cardiogram
- ECG
- EKG
- electrocardiogram
- EEG
- electroencephalogram
- encephalogram
- electroretinogram
- Laffer curve
- learning curve
- myogram
- radiation diagram
- radiation pattern
- pattern
- tachogram
- thermogram
- exponential curve
verb represent by means of a graphSynonymsRelated Wordsverb plot upon a graphRelated Words |