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Geometrically the definite integral from a to b is the area under the curve and the double integral is the volume under the surface. So just taking the integral of a function does not yield the volume of the solid made by rotating it around an axis. An integral is only a solid of revolution if you take an infinite sum of infinitesimally small cylinders that is the disk method or you do the same with shells.
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What is a sixth dimension?
In physics and mathematics, the sixth dimension refers to an additional spatial dimension beyond the three familiar dimensions of length, width, and height, plus time as the fourth dimension. It is often conceptualized in theories such as string theory, where additional dimensions are proposed to explain fundamental forces and particles. In this context, the sixth dimension could represent a specific way that strings vibrate or exist, potentially influencing the properties of the universe. While difficult to visualize, higher dimensions can help deepen our understanding of complex physical phenomena.
When a dimension is enclosed in parentheses it indicates?
When a dimension is enclosed in parentheses, it typically indicates that the value is optional or that it serves as a parameter for a function. In programming and mathematical contexts, this notation often signifies that the enclosed dimension can be provided for additional specificity or to modify behavior, but it is not strictly necessary for the operation to occur.
What order do dimensions go in?
Dimensions are typically understood in a specific order: the first dimension is a point (0D), the second dimension adds length (1D), the third dimension introduces width (2D), and the fourth dimension incorporates height (3D). Beyond these, time is often considered the fourth dimension in physics (4D). Higher dimensions, such as the fifth and beyond, are more abstract and can involve additional spatial or theoretical constructs.
What is more accurate water displacement of a volume or measuring their dimensions and calculating?
That depends on the shape. If it is a uniform configuration with simple sides or walls where accurate dimension are used then calculating the volume is more accurate. If the cavity is of a unusual shape such as the combustion chamber for a cylinder head on an engine, then water displacement is more accurate. With modern software, dimension for such a cavity can be calculated by computer. However, variation to the cavity when machined or cast will never be the same as the computer model. R. Clontz
What is auxiliary dimension?
An auxiliary dimension is a supplementary aspect or variable that provides additional context or detail in data analysis or modeling. It helps to enhance the understanding of primary dimensions by offering more nuanced insights. In various fields, such as statistics or data visualization, auxiliary dimensions can be used to break down data further or to incorporate additional factors that influence the main variables of interest.
What is a sixth dimension?
In physics and mathematics, the sixth dimension refers to an additional spatial dimension beyond the three familiar dimensions of length, width, and height, plus time as the fourth dimension. It is often conceptualized in theories such as string theory, where additional dimensions are proposed to explain fundamental forces and particles. In this context, the sixth dimension could represent a specific way that strings vibrate or exist, potentially influencing the properties of the universe. While difficult to visualize, higher dimensions can help deepen our understanding of complex physical phenomena.
What does a dimension in brackets on a drawing?
This is a reference dimension. I.e. the part can and should be manufactured without using it directly. The non-bracketed dimensions should define the form of the part completely.
When a dimension is enclosed in parentheses it indicates?
When a dimension is enclosed in parentheses, it typically indicates that the value is optional or that it serves as a parameter for a function. In programming and mathematical contexts, this notation often signifies that the enclosed dimension can be provided for additional specificity or to modify behavior, but it is not strictly necessary for the operation to occur.
What does a small n next to a dimension signify The part is aluminum to be hard anodized?
The "n" next to a dimension on a drawing typically indicates that it is a nominal dimension, which means it is the target or reference dimension without any tolerance applied. In the context of a part being aluminum and to be hard anodized, the nominal dimension may be specified to ensure that the part can accommodate the additional thickness created by the hard anodizing process.
Will a 2007 corolla body kit fit a 2008?
no because the dimension is completely dif and its a face lifted car.
What is the formula for calculating volumetric weight of a box?
Table dimension is 59"x35"x29" please calculate volumetric weight in KG Table dimension is 59"x35"x29" please calculate volumetric weight in KG {| |- | Volumetric WeightVolumetric WeightVolumetric Weight * Volumetric Weight|}
What order do dimensions go in?
Dimensions are typically understood in a specific order: the first dimension is a point (0D), the second dimension adds length (1D), the third dimension introduces width (2D), and the fourth dimension incorporates height (3D). Beyond these, time is often considered the fourth dimension in physics (4D). Higher dimensions, such as the fifth and beyond, are more abstract and can involve additional spatial or theoretical constructs.
What would the 5th dimension be?
In physics and mathematics, the fifth dimension is often theorized as an additional spatial dimension beyond the four dimensions of space and time that we experience. It is a hypothetical dimension that could provide a framework for understanding phenomena such as quantum gravity and string theory. In some theories, the fifth dimension is compactified or curled up, making it difficult to detect or observe directly. The study of higher dimensions is a complex and ongoing area of research in theoretical physics.
What is more accurate water displacement of a volume or measuring their dimensions and calculating?
That depends on the shape. If it is a uniform configuration with simple sides or walls where accurate dimension are used then calculating the volume is more accurate. If the cavity is of a unusual shape such as the combustion chamber for a cylinder head on an engine, then water displacement is more accurate. With modern software, dimension for such a cavity can be calculated by computer. However, variation to the cavity when machined or cast will never be the same as the computer model. R. Clontz
What is the difference between traditional and alternative paradigms?
Traditional Dimension One: Positivistic, Scientific, Objective, Quantitative Dimension Two: Masculine attributes, patriarchal perspectives Dimension Three: Standard of Whiteness Dimension Four: Separateness, impersonality, oppositional, competition Dimension Five: Privileged Status Alternative Dimension One: Interpretive, intuitive, subjective, qualitative Dimension Two: Feminine Attributes, feminist perspective Dimension Three: Diversity Dimension Four: Interconnectedness, integration, differences viewed as complementary Dimension Five: Recognition of Oppressions and elimination of privilege
What has the author Gunnar Skogmar written?
Gunnar Skogmar has written: 'The United States and the nuclear dimension of European integration' -- subject(s): Economic integration, European federation, Foreign relations, History, Nuclear arms control 'Atompolitik' -- subject(s): Foreign relations, History, Nuclear weapons, World politics
Is length an example of kinetic or potential energy?
Length is a characterization of spatial dimension, i.e. distance. It is a completely different physical concept from energy.
