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반대수 그래프 半對數圖 Semi-log plot 片対数グラフ Representación semilogarítmica Enkellogaritmische weergave Repère semi-logarithmique Einfachlogarithmisches Papier Gráfico semi-log
rdfs:comment
Bij een visuele voorstelling in een plat vlak van verzamelingen getallenparen (zoals een grafiek van een of meer functies of een puntenwolk) wordt soms een enkellogaritmische weergave toegepast. Een van beide assen heeft dan een logaritmische schaalverdeling. Hierdoor kunnen met gelijke relatieve precisie heel grote en heel kleine waarden langs die as worden weergegeven. Voor het nauwkeurig aflezen worden, in aanvulling op de schaalverdeling langs de assen, eventueel horizontale en verticale lijnen getekend, zoals in de afbeelding. In science and engineering, a semi-log plot/graph or semi-logarithmic plot/graph has one axis on a logarithmic scale, the other on a linear scale. It is useful for data with exponential relationships, where one variable covers a large range of values, or to zoom in and visualize that - what seems to be a straight line in the beginning - is in fact the slow start of a logarithmic curve that is about to spike and changes are much bigger than thought initially. All equations of the form form straight lines when plotted semi-logarithmically, since taking logs of both sides gives 과학과 공학에서 반대수 그래프(semi-log graph or semi-log plot)는 지수 함수 관계에 있는 데이터들을 나타내는 데 사용된다. 가로축 또는 세로축이 로그 스케일로 표현된다. 이 방법은 한 변수가 큰 폭으로 변하는 반면 다른 값은 작은 폭으로 변할 때 유용하다. 지진학자 찰스 릭터는 "로그 그래프는 마법의 도구다"라고 말했다. 꼴의 모든 그래프는 반대수지에 그릴 경우 직선을 나타낸다. 양변에 로그를 취하면 다음과 같기 때문이다. log-lin은 세로축에 로그가 사용된 반대수 그래프를 말하며, lin-log는 가로축에 로그가 사용된 반대수 그래프를 말한다. 반대수지에서 격자 간격은 로그에 쓰이는 숫자가 아니라 로그값 자체에 비례한다. 즉 로그값을 계산한 다음에 lin-lin 격자에 그래프를 그린다고 생각하면 된다. 半對數圖是科学及工程学中常用的圖表,其中一軸是對數尺度,另一軸是線性尺度,常用在表示指數增長的關係上,或是其中一個變數的範圍很廣的情形。 所有形式的函數在半對數圖中都會變成直線,將等號兩側取對數,可得 為一直線,斜率為,和y軸的截距為。log多半是以10為基底,偶爾會以2為基底 log-linear圖的y軸為log尺度,x軸為線性,而linear-log恰好相反。 在y軸為log尺度的半對數圖中,y軸的座標和y的log有關。因此可以先將y的數值取log後再繪圖。若x軸及y軸都要取log,即為双对数坐标系。 Na ciência e engenharia, gráfico semi-log ou papeis gráficos especiais é uma maneira de visualização de dados que estão relacionados exponencialmente, sendo que um dos eixos é exposto por uma escala logarítmica. Este tipo de gráfico é útil quando uma das variáveis ​​a ser esboçadas abrange uma vasta gama de valores e o outro tem apenas uma faixa restrita — a vantagem é que este traz detalhes e dados que não seriam facilmente expressados se estivessem em uma proporção linear. Todas as equações da forma formam linhas retas e lineares quando são esboçados de modo semi-logarítmico, desde que: Un repère semi-logarithmique est un repère (au sens de « système de coordonnées ») dans lequel l'un des axes, par exemple celui des abscisses (x), est gradué selon une échelle linéaire, comme les graduations d'un mètre courant, alors que l'autre axe, ici celui des ordonnées (y), est gradué selon une échelle logarithmique. Le repère semi-logarithmique permet de représenter des phénomènes exponentiels ou, plus généralement, des mesures s'étalant sur plusieurs ordres de grandeurs comme prenant des valeurs proches de 1 ou proches de Una representación semilogarítmica es una representación gráfica de una función o de un conjunto de valores numéricos, en la que el eje de abscisas o el eje de ordenadas tienen escala logarítmica mientras el otro eje tiene una o proporcional. Si la representación se hace manualmente, se emplea ,​ que posee la escala con las marcas adecuadas para este tipo de representaciones. Se emplean logaritmos decimales, de base 10. 片対数グラフ(かたたいすうぐらふ、semilog graph)とは、グラフの一方の軸が対数スケール(縦を対数スケールとすることが多い)になっているグラフである。極端に範囲の広いデータを扱える。通常の目盛(線形スケール)の軸を範囲の狭いデータに、対数スケールの軸は極端に範囲の広いデータ用にする。
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In science and engineering, a semi-log plot/graph or semi-logarithmic plot/graph has one axis on a logarithmic scale, the other on a linear scale. It is useful for data with exponential relationships, where one variable covers a large range of values, or to zoom in and visualize that - what seems to be a straight line in the beginning - is in fact the slow start of a logarithmic curve that is about to spike and changes are much bigger than thought initially. All equations of the form form straight lines when plotted semi-logarithmically, since taking logs of both sides gives This is a line with slope and vertical intercept. The logarithmic scale is usually labeled in base 10; occasionally in base 2: A log–linear (sometimes log–lin) plot has the logarithmic scale on the y-axis, and a linear scale on the x-axis; a linear-log (sometimes lin–log) is the opposite. The naming is output-input (y-x), the opposite order from (x, y). On a semi-log plot the spacing of the scale on the y-axis (or x-axis) is proportional to the logarithm of the number, not the number itself. It is equivalent to converting the y values (or x values) to their log, and plotting the data on linear scales. A log–log plot uses the logarithmic scale for both axes, and hence is not a semi-log plot. Na ciência e engenharia, gráfico semi-log ou papeis gráficos especiais é uma maneira de visualização de dados que estão relacionados exponencialmente, sendo que um dos eixos é exposto por uma escala logarítmica. Este tipo de gráfico é útil quando uma das variáveis ​​a ser esboçadas abrange uma vasta gama de valores e o outro tem apenas uma faixa restrita — a vantagem é que este traz detalhes e dados que não seriam facilmente expressados se estivessem em uma proporção linear. Todas as equações da forma formam linhas retas e lineares quando são esboçados de modo semi-logarítmico, desde que: Isto pode ser facilmente visto como uma linha em forma de intercepção com inclinação horizontal e inclinação vertical . Para facilitar o uso em tabelas logarítmicas, usa-se normalmente logaritmos comuns ou logaritmos binários: 半對數圖是科学及工程学中常用的圖表,其中一軸是對數尺度,另一軸是線性尺度,常用在表示指數增長的關係上,或是其中一個變數的範圍很廣的情形。 所有形式的函數在半對數圖中都會變成直線,將等號兩側取對數,可得 為一直線,斜率為,和y軸的截距為。log多半是以10為基底,偶爾會以2為基底 log-linear圖的y軸為log尺度,x軸為線性,而linear-log恰好相反。 在y軸為log尺度的半對數圖中,y軸的座標和y的log有關。因此可以先將y的數值取log後再繪圖。若x軸及y軸都要取log,即為双对数坐标系。 Bij een visuele voorstelling in een plat vlak van verzamelingen getallenparen (zoals een grafiek van een of meer functies of een puntenwolk) wordt soms een enkellogaritmische weergave toegepast. Een van beide assen heeft dan een logaritmische schaalverdeling. Hierdoor kunnen met gelijke relatieve precisie heel grote en heel kleine waarden langs die as worden weergegeven. Voor het nauwkeurig aflezen worden, in aanvulling op de schaalverdeling langs de assen, eventueel horizontale en verticale lijnen getekend, zoals in de afbeelding. Bij het met de hand tekenen wordt vaak (enkel)logaritmisch papier gebruikt, waarop de genoemde horizontale en verticale lijnen zijn voorgedrukt. Daardoor hoeven geen logaritmen te worden berekend bij het intekenen. 과학과 공학에서 반대수 그래프(semi-log graph or semi-log plot)는 지수 함수 관계에 있는 데이터들을 나타내는 데 사용된다. 가로축 또는 세로축이 로그 스케일로 표현된다. 이 방법은 한 변수가 큰 폭으로 변하는 반면 다른 값은 작은 폭으로 변할 때 유용하다. 지진학자 찰스 릭터는 "로그 그래프는 마법의 도구다"라고 말했다. 꼴의 모든 그래프는 반대수지에 그릴 경우 직선을 나타낸다. 양변에 로그를 취하면 다음과 같기 때문이다. log-lin은 세로축에 로그가 사용된 반대수 그래프를 말하며, lin-log는 가로축에 로그가 사용된 반대수 그래프를 말한다. 반대수지에서 격자 간격은 로그에 쓰이는 숫자가 아니라 로그값 자체에 비례한다. 즉 로그값을 계산한 다음에 lin-lin 격자에 그래프를 그린다고 생각하면 된다. 片対数グラフ(かたたいすうぐらふ、semilog graph)とは、グラフの一方の軸が対数スケール(縦を対数スケールとすることが多い)になっているグラフである。極端に範囲の広いデータを扱える。通常の目盛(線形スケール)の軸を範囲の狭いデータに、対数スケールの軸は極端に範囲の広いデータ用にする。 Una representación semilogarítmica es una representación gráfica de una función o de un conjunto de valores numéricos, en la que el eje de abscisas o el eje de ordenadas tienen escala logarítmica mientras el otro eje tiene una o proporcional. Si la representación se hace manualmente, se emplea ,​ que posee la escala con las marcas adecuadas para este tipo de representaciones. Se emplean logaritmos decimales, de base 10. Un repère semi-logarithmique est un repère (au sens de « système de coordonnées ») dans lequel l'un des axes, par exemple celui des abscisses (x), est gradué selon une échelle linéaire, comme les graduations d'un mètre courant, alors que l'autre axe, ici celui des ordonnées (y), est gradué selon une échelle logarithmique. Le repère semi-logarithmique permet de représenter des phénomènes exponentiels ou, plus généralement, des mesures s'étalant sur plusieurs ordres de grandeurs comme prenant des valeurs proches de 1 ou proches de
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