Is a spline important?
Splines are an important class of mathematical functions used for approximation. A spline is a piecewise polynomial function that is commonly described as being “as smooth as it can be without reducing to a polynomial” (de Boor 2001).2016-01-23
What are the types of splines?
There are numerous types of spline shafts, including, involute splines, which have short, curved, and evenly spaced teeth; parallel splines, which are short, straight sided splines; serrated splines, which are V shaped; and helical splines, which are built for optimal load sharing.2020-11-13
When would you use a spline?
In mathematics, a spline is a special function defined piecewise by polynomials. In interpolating problems, spline interpolation is often preferred to polynomial interpolation because it yields similar results, even when using low degree polynomials, while avoiding Runge’s phenomenon for higher degrees.
What is spline and how is it represented?
A spline curve is a mathematical representation for which it is easy to build an interface that will allow a user to design and control the shape of complex curves and surfaces. The general approach is that the user enters a sequence of points, and a curve is constructed whose shape closely follows this sequence.
How are splines specified?
Splines are specified as either side fit or major-diameter fit. A side-fit spline has clearance between the root diameter of the external part and the inside diameter of the internal part. Also, there is clearance between the outside diameter of the external part and the major diameter of the internal part.2017-07-19
Where is spline used?
Heavy Machinery: Spline shafts are frequently used in automobiles, aviation, and earth moving machinery as they can handle high rotation speeds to deliver torque. Unlike alternative shafts like key shafts, spline shafts can deliver more torque due to the even distribution of the load across all the teeth or grooves.2020-11-13
What is a helical spline?
A helical spline broach — also known as a spiral broach or continuous engagement broach — is a type of broach that creates an internal spiral in a pre-drilled hole. Several applications use helical spline broaches, including automotive transmission and firearms manufacturing.
What is a spline and what does it do?
Splines add curves together to make a continuous and irregular curves. When using this tool, each click created a new area to the line, or a line segment. Each click also creates what’s called a control point, or points that determine the shape of the curve. And that’s the gist of a spline.2018-08-09
What are splines used for in statistics?
Splines are widely used for interpolation and approximation of data sampled at a discrete set of points – e.g. for time series interpolation.
What is the difference between spline and gear?
Splines and gears are both purposed to transmit torque and both feature external teeth that lock into place with a mating component. Splined shafts differ from gears as they use all teeth or grooves simultaneously to transfer torque. Gears in contrast, utilize one tooth at a time to transfer torque.2019-02-20
What is a spline coupling?
Spline couplings are mechanical components widely used to transmit torque between rotating parts. Although they are well known components, critical issues such as wear damage and un haven loads affect them especially when working in misaligned conditions.
How are splines designed?
The current practice for designing splines to carry a torque is to use involute splines with no helix angle or taper on the external tooth. The size of the spline, the number of teeth and the engaged length of splines are chosen to satisfy size and performance constraints.
How are internal splines made?
Internal splines are produced by the same methods as internal gear production, such as shaping, form-milling, or power-skiving. Because splines are straight-toothed, they are also commonly broached for efficient, effective production.
Are splines universal?
Splines are Universal Solutions of Linear Inverse Problems with Generalized-TV regularization. Splines come in a variety of flavors that can be characterized in terms of some differential operator L. The simplest piecewise-constant model corresponds to the derivative operator.2016-03-04
How does a spline work?
The spline bends a sheet of rubber that passes through the input points while minimizing the total curvature of the surface. It fits a mathematical function to a specified number of nearest input points while passing through the sample points.
Can you repair a spline?
When your splined shaft suffers damage or you notice wear and tear one option is to simply replace it with another. Alternatively, a salvaging operation can be resorted to, to save the part.2018-06-15
What is a spline in math?
A spline is a continuous function which coincides with a polynomial on every subinterval of the whole interval on which is defined. In other words, splines are functions which are piecewise polynomial. The coefficients of the polynomial differs from interval to interval, but the order of the polynomial is the same.
Where are spline couplings used?
Spline couplings are often used in power transfer systems to connect mechanical components such as shafts, flanges, brakes, clutches, pulleys, sprockets, and gears. A spline cou- pling has multiple teeth equally spaced around its circumfer- ence, which results in higher load capacity than a conven- tional single key.
Spline – Design tool for 3D web browser experiences
Spline is constantly growing just like the possibilities of what you can achieve. Teams, Projects & Folders. Create teams and organize your files in folders and projects. Image Exports. Save your composition in high resolution JPGs & PNGs. Polygonal Modeling.
Spline Definition & Meaning – Merriam-Webster
spline: [noun] a thin wood or metal strip used in building construction.
Spline (mathematics) – Wikipedia
In mathematics, a spline is a special function defined piecewise by polynomials.In interpolating problems, spline interpolation is often preferred to polynomial interpolation because it yields similar results, even when using low degree polynomials, while avoiding Runge’s phenomenon for higher degrees.. In the computer science subfields of computer-aided design and computer graphics, the term
Spline – definition of spline by The Free Dictionary
Define spline. spline synonyms, spline pronunciation, spline translation, English dictionary definition of spline. n. 1. a. Any of a series of projections on a shaft that fit into slots on a corresponding shaft, enabling both to rotate together. b. The groove or slot for
Spline Definition & Meaning | Dictionary.com
Spline definition, a long, narrow, thin strip of wood, metal, etc.; slat. See more.
Spline (mechanical) – Wikipedia
Spline (mechanical) Splines are ridges or teeth on a drive shaft that matches with grooves in a mating piece and transfer torque to it, maintaining the angular correspondence between them. For instance, a gear mounted on a shaft might use a male spline on the shaft that matches the female spline on the gear.
Spline: Easily Create 3D Experiences for the Web | Design
Spline is a tool that aims to change that. Spline allows you to design and export functional 3D experiences for the web using a very simple and easy to use design tool. In this post, we highlight what Spline can really do and how it will change the way you design websites in the near future. 3D Design on the Web
PDF Lecture 11: Splines – Carnegie Mellon University
2 An Example The default R function for tting a smoothing spline is called smooth.spline. The syntax is smooth.spline(x, y, cv=FALSE) where x should be a vector of values for input variable, y is a vector of values for
PDF Spline Curves – Clemson University
Spline Curves A spline curve is a mathematical representation for which it is easy to build an interface that will allow a user to design and control the shape of complex curves and surfaces. The general approach is that the user enters a sequence of points, and a curve is constructed whose shape closely follows this sequence.
Screen Spline & Spline Rollers – Window Screens, Tools
0.125 in. x 25 ft. Black Spline This Serrated Vinyl Spline is for use in This Serrated Vinyl Spline is for use in replacing screens in windows and doors. It is available in various diameters to form a tight fit when rolling the screen into the frame.
PDF Cubic Splines – Stanford University
A spline is a piecewise polynomial in which the coe cients of each polynomial are xed between ‘knots’ or joints. Figure 1: Typically cubics are used. Then the coe cients are chosen to match the function and its rst and second derivatives at each joint. There remain one free condition at each
Spline – an overview | ScienceDirect Topics
Spline baseline correction is a more complex method to correct distorted baselines. The user selects a number of points in the signal that are considered as baseline anchor points. These points are used as nodes to calculate a spline curve that is then subtracted from the signal. A spline is a smoothly joined piece-wise polynomial.
Screen Spline at Lowes.com
The MD spline is the component used to hold screen in screen frame. Our 0.175 In. x 300 ft spline is recommended to use with crystal clear, small bug, and pool and patio screens (may vary based on frame size). Pairing the correct spline, screen and frame will ensure your screens go in easily and remain in place for years to come. View More
SPLINE – Interpolation and Approximation of Data
SPLINE is a C++ library which constructs and evaluates spline functions. These spline functions are typically used to interpolate data exactly at a set of points; approximate data at many points, or over an interval. The most common use of this software is for situations where a set of (X,Y) data points is known, and it is desired to determine
Cubic spline data interpolation – MATLAB spline
s = spline (x,y,xq) returns a vector of interpolated values s corresponding to the query points in xq. The values of s are determined by cubic spline interpolation of x and y. example. pp = spline (x,y) returns a piecewise polynomial structure for use by ppval and the spline utility unmkpp.
Spline – Statistics.com: Data Science, Analytics
Spline: A spline is a continuous function which coincides with a polynomial on every subinterval of the whole interval on which is defined. In other words, splines are functions which are piecewise polynomial. The coefficients of the polynomial differs from interval to interval, but the order of the polynomial is the same. Splines are often named after the order of the spline, e.g. cubic
Splines – McMaster-Carr
Shafts with four splines work with ball spline bearings, which create relatively little friction. They’re commonly found in robotic and other automated systems that require complex, fast movements. They don’t transmit as much torque as shafts with six splines. All four -spline shafts are 52100 alloy steel for high strength.
Screen Spline – The Home Depot
EZ Screen Room Screen Room 100 ft. Black Flat Spline. Model# EZSR100SBLK (77) $ 21 20. Phifer 0.160 in. x 25 ft. Black Spline. Model# 3034720 (33) $ 4 98. Phifer 0.125 in. x 100 ft. Black Spline. Model# 3033396 (194) $ 8 78. Top Rated. Phifer 0.3125 in. x 100 ft. Black Flat Spline. Model# 3033403 (155) $ 8 97. Phifer 0.175 in. x 25 ft. Black
Spline | Unreal Engine Documentation
Get Input Key at Distance Along Spline. Given a distance along the length of this spline, return the corresponding input key at that point. Target is Spline Component.
spline – Department of Scientific Computing
spline. spline , a C code which constructs and evaluates spline functions. These spline functions are typically used to. interpolate data exactly at a set of points; approximate data at many points, or over an interval. The most common use of this software is for situations where a set of (X,Y) data points is known, and it is desired to
PDF DEFINITION OF A B-SPLINE CURVE – Computer Science
A B-spline curveP(t), is defined by P(t) = Xn i=0 P iN i,k(t) where • the {P i: i = 0,1,,n} are the control points, • k is the order of the polynomial segments of the B-spline curve. Orderk means that the curve is made up of piecewise polynomial segments of degree k −1, • the N i,k(t) are the “normalized B-spline blending
spline (MATLAB Functions) – Northwestern University
spline. Cubic spline data interpolation. Syntax. yy = spline(x,y,xx) pp = spline(x,y) ; Description. yy = spline(x,y,xx) uses cubic spline interpolation to find yy, the values of the underlying function y at the points in the vector xx.The vector x specifies the points at which the data y is given. If y is a matrix, then the data is taken to be vector-valued and interpolation is performed for
Data Science Deciphered: What is a Spline? | by Katie
Basis splines are just a type of spline formation. Splines can look different depending on which type you use. This makes sense — there are many different ways to form a line through data points. Take this image for example: source. Each colored line is a different type of spline. The red line is a type of basis spline!
Spline Shafts | McMaster-Carr
Some of our four-spline shafts have a step-down end, which has been ground smooth and round like a standard shaft. Mount bearings, gears, and other round-bore components. Six Splines. Large, evenly spaced splines transmit high-torque loads, such as those found in hydraulic systems, drivetrains, and machine tools.
PDF Smoothing Splines – Carnegie Mellon University
Before introducing smoothing splines, however, we rst have to understand what a spline is. In words, a kth order spline is a piecewise polynomial function of degree k, that is continuous and has continuous derivatives of orders 1;:::k 1, at its knot points Formally, a function f: R !R is a kth order spline with knot points at t 1 <::: SPLINE is a FORTRAN77 library which defines and evaluates spline functions. These spline functions are typically used to interpolate data exactly at a set of points; approximate data at many points, or over an interval. The most common use of this software is for situations where a set of (X,Y) data points is known, and it is desired to Straight-Tooth Spline Strength Splines have the same failure mechanisms as keys: 1) shear or 2) bearing. The torque capacity per unit length of an SAE spline is based on a 1,000 psi bearing stress on the sides. Depending on the class of fit, a spline is able to accommodate axial movement along the shaft and still transmit torque. SPLINE creates curves called nonuniform rational B-splines (NURBS), referred to as splines for simplicity.. Splines are defined either with fit points, or with control vertices. By default, fit points coincide with the spline, while control vertices define a control frame.Control frames provide a convenient method to shape the spline. Spline. more A function made up of polynomials that each have a specific interval. In other words a “piecewise polynomial function”. Very useful when we want a smooth curve that passes through certain points, such as for matching data, making smooth computer animations, etc. Spline. Download Wolfram Notebook. A piecewise polynomial function that can have a locally very simple form, yet at the same time be globally flexible and smooth. Splines are very useful for modeling arbitrary functions, and are used extensively in computer graphics. Cubic splines are implemented in the Wolfram Language as BSplineCurve [ pts How Spline works. Available with Spatial Analyst license. Available with 3D Analyst license. The Spline tool uses an interpolation method that estimates values using a mathematical function that minimizes overall surface curvature, resulting in a smooth surface that passes exactly through the input points. A spline functionS(x) is said to be of order m that is greater than or equal to one on the interval. a = x0 < x1 < x2 < ⋯ < xN − 1 < xN = b, if it satisfies the following two properties: 1. S(x) is a polynomial of degree that is less than m on each of the subintervals [xj − 1, xj]. 2. Spline 中文版. . 如需学习教程，请前往. Learning Community | 学习社区. 提供Chrome浏览器汉化 | @ Spline & @ 晗萧℡. 汉化后的界面显示. 请根据系统选择需要下载的客户端/插件. Spline fitting or spline interpolation is a way to draw a smooth curve through n+1 points (x0, y0), …, (xn,yn). Thus, we seek a smooth function f(x) so that f(xi) = yi for all i. In particular, we seek n cubic polynomials p0, …, pn-1 so that f(x) = pi(x) for all x in the interval [xi, xi+1]. Property 1: The polynomials that we are seeking Spline number: 0500-16-2 (specifications for each standard spline can be found in the table above) this example is a nominal .500″ spline, with 16 teeth, and the chord measured over 2 teeth; Material: 1117 mild steel; Length & #: 2 pieces; 3ft each; Order: 2x, 3ft, 0500-16-2-1117 Task 1 – Fit a smoothing spline. We will continue the example using the dataset tricepsavailable in the MultiKink package. The data contains the measurement of the triceps skin fold of 892 females (variable triceps) and we want to model its association with age, using smoothing cubic splines.. The function smooth.spline() fits smoothing cubic splines. We can provide the penalisation and/or Now let’s fit a Cubic Spline with 3 Knots (cutpoints) The idea here is to transform the variables and add a linear combination of the variables using the Basis power function to the regression function f (x) .The bs() b s () function is used in R to fit a Cubic Spline. #3 cutpoints at ages 25 ,50 ,60 fit<-lm (wage ~ bs (age,knots = c (25,40 What is a Spline Shank Bit? The name come from the cross-sectional profile of the spline shank itself. This type of shank has 12 teeth that is designed to fit into the spline drive of the hammer drill. Spine bits used to be a popular choice for rotary hammers and demolition hammers before the SDS bits became more popular. Parts of a Spline Bit Cane Webbing (Measure groove to groove + 4 inches) For open cane webbing measure from the center of one hole to the center of the next hole to determine the style of your old cane webbing. See available styles below: Reed Spline (circumference of groove + 1 foot). See chart below for Reed Spline sizes. SPLINE creates curves called nonuniform rational B-splines (NURBS), referred to as splines for simplicity.. Splines are defined either with fit points, or with control vertices. By default, fit points coincide with the spline, while control vertices define a control frame.Control frames provide a convenient method to shape the spline. What is a spline? According to the American Heritage Dictionary of the English Language (fourth edition, 2000), a spline is defined as: Noun: 1a. Any of a series of projections on a shaft that fit into slots on a corresponding shaft, enabling both to rotate together. Spline Method 05.04.5 Example 1 The upward velocity of a rocket is given as a function of time in Table 2 (Figure 5). Table 2 Velocity as a function of time. t (s) v t ( ) (m/s) 0 0 10 227.04 15 362.78 20 517.35 22.5 602.97 30 901.67 The meaning of SPLINE SHAFT is a splined shaft; specifically : one having a number of equally spaced grooves cut in the shaft so as to form a series of projecting keys and fitting into an internally grooved cylindrical member. The spline interplation is easily done in Matlab. The following code supplies a vector y (x), fits those points to a natural spline [ pp = spline (x,y) ], evaluates the spline at a set of points xx [ v=ppval (pp,xx); ], and then plots the spline (in blue) as well as the knots (in red). Since the original function is a cubic function, the spline Cubic Spline Interpolation¶. In cubic spline interpolation (as shown in the following figure), the interpolating function is a set of piecewise cubic functions. Specifically, we assume that the points ((x_i, y_i)) and ((x_{i+1}, y_{i+1})) are joined by a cubic polynomial (S_i(x) = a_i x^3 + b_i x^2 + c_i x + d_i) that is valid for (x_i le x le x_{i+1}) for (i = 1,ldots, n-1). 2-D spline representation: Procedural (bisplrep) ¶For (smooth) spline-fitting to a 2-D surface, the function bisplrep is available. This function takes as required inputs the 1-D arrays x, y, and z, which represent points on the surface (z=fleft(x,yright).) The default output is a list (left[tx,ty,c,kx,kyright]) whose entries represent respectively, the components of the knot EZ Screen Room Screen Room 100 ft. Black Flat Spline. Model# EZSR100SBLK (77) $ 21 20. Phifer 0.125 in. x 100 ft. Black Spline. Model# 3033396 (195) $ 8 78. Top Rated. Phifer 0.3125 in. x 100 ft. Black Flat Spline. Model# 3033403 (155) $ 8 97. Phifer 0.175 in. x 25 ft. Black Spline. Model# 3034721 (31) $ 4 98. Phifer 0.160 in. x 100 ft. Black C++ cubic spline interpolation. This is a lightweight implementation of cubic splines to interpolate points f(x i) = y i with the following features.. available spline types: cubic C 2 splines: global, twice continuously differentiable; cubic Hermite splines: local, continuously differentiable (C 1); boundary conditions: first and second order derivatives can be specified, not-a-knot condition Spline/Gear Checking & Measuring Gauges. EST designs and manufactures spline gauges for involute, serration and straight sided spline inspection and measurement requirements. We offer a wide variety of spline gages including: Go/No Go Functional Spline Gages. Helical plug and ring gages. Tooth thickness/space width variable gages. A linear spline with knots at with is a piecewise linear polynomial continuous at each knot. This model can be represented as: where the are basis functions and are: the variable itself. One of these basis functions is just the variable itself. and additional variables that are a collection of truncated basis transformation functions at each of #5 Spline x 1-1/2″ x 13/16″ Square Budd Wheel Impact Socket Manufacturers Part #: 5223C High quality chro-moly alloy steel.GP High Torque Drive Socket design for increased strength with reduced chance of fastener rounding.3 Lbs LIFETIME WARRANTY DIMENSION INCHES A: 2.28 B: 2.28 C: 1.56 D: 0.55 E: 4.25 Grey Pneumatic 5223C #5 Spline Drive Budd Wheel Impact Socket 1-1/2″ x 13/16″ Square Spline LDP appears to be a useful tool for estimating load distribution factors based on stress calculation. Table 2: Misalignment factors from DOE. Figure 11: Misalignment factor from DOE. A series of shaft splines was designed to enable comparison of the effects of pitch diameter and face width. The basic spline designs are all 1.0 module and Spline Collection. The Valorant Spline skins are a five skin bundle released on September 2nd 2020. The full weapon set features a knife, Classic Pistol, Spectre, Phantom and operator and currently costs 7100 VP. The collection has an exotic alien theme with black curved metal and glowing blue bulbous structures inside. The set costs 7,100 VP Smoothing splines are a powerful approach for estimating functional relationships between a predictor (X) and a response (Y). Smoothing splines can be fit using either the smooth.spline function (in the stats package) or the ss function (in the npreg package). This document provides theoretical background on smoothing splines, as well as Spline Cutting. Spline cutting is the process of machining internal or external splines (ridges or teeth) onto shafts, gears and other mechanical power transmission components, which mesh with grooves in a mating piece allowing power to be transmitted from one to the other. Prime-Line Products P 7517 Screen Retainer Spline, .130-in, 25-ft, Black. 4.5 out of 5 stars. 139. $3.57. $3. . 57. Get it as soon as Thu, Nov 4. FREE Shipping on orders over $25 shipped by Amazon. Spline is a free and open-source tool for automated tracking data lineage and data pipeline structure in your organization. Originally the project was created as a lineage tracking tool specifically for Apache Spark ™ (the name Spline stands for Spark Lineage). In 2018, the IEEE Paper has been published. Later though, the vision of the All B-spline basis functions are supposed to have their domain on [ u0, um ]. In this note, we use u0 = 0 and um = 1 frequently so that the domain is the closed interval [0,1]. To define B-spline basis functions, we need one more parameter, the degree of these basis functions, p. The i -th B-spline basis function of degree p, written as Ni,p A B-spline with no internal knots is a Bézier curve . A curve is times differentiable at a point where duplicate knot values occur. The knot values determine the extent of the control of the control points. -splines are implemented in the Wolfram Language as BSplineCurve [ pts ]. Bézier Curve, NURBS Curve, Spline. Arcwall Spline Details. Manufactured from solid aluminum or stainless plate with extruded aluminum framing. Spline design method is achieved using a locking clip which can be engaged at any point along the panel. Panel joints receive a mating spline which conceals the anchor clips and allows for multidirectional panel installation. B-spline interpolation of control points of any dimensionality using de Boor’s algorithm. The interpolator can take an optional weight vector, making the resulting curve a Non-Uniform Rational B-Spline (NURBS) curve if you wish so. The knot vector is optional too, and when not provided an unclamped uniform knot vector will be generated internally. With progress on both the theoretical and the computational fronts the use of spline modelling has become an established tool in statistical regression analysis. An important issue in spline modelling is the availability of user friendly, well documented software packages. Following the idea of the STRengthening Analytical Thinking for Observational Studies initiative to provide users with Syntax. Spline (in_point_features, z_field, {cell_size}, {spline_type}, {weight}, {number_points}) The input point features containing the z-values to be interpolated into a surface raster. The field that holds a height or magnitude value for each point. This can be a numeric field or the Shape field if the input point features contain z-values. スプライン曲線（スプラインきょくせん、英語: spline curve ）とは、スプラインを使用して表現された曲線のこと。 スプラインとは区分 多項式（区分的に定義された多項式）の事。 数学的な背景や曲線あてはめのようなモデルの推定といった側面もあるが、図学や造形デザインで使われることが Spline is the comfortable and useful MP3 Manager with simple interface. Spline includes: Tags Editor (support edit with mask),Files Renamer (support rename with using Tags and mask), Converter WAV The smoothing spline for smoothing parameter λ is the function fλ minimizing the spline functional (1.1) E[f]= 1 n X (yi − f(xi))2 + λ Z f00(x)2dx in the Sobolev space W2(R) of functions with square integrable second derivative: (1.2) fλ =argmin f∈W2(R) E[f]. Using techniques from the calculus of variations it can be shown that fλ is a Quadratic Spline Interpolation (contd) The first derivatives of two quadratic splines are continuous at the interior points. For example, the derivative of the first spline 1. 1 2 a 1 x +b x + c. is 2a 1 x + b. 1. The derivative of the second spline 2. 2 2 a 2 x +b x + c. is 2a 2 x + b. 2. and the two are equal at x = x. 1. giving 2a 1 x 1 +b 1 We’re using spline in both OnInspectorGUI and OnSceneGUI, but these two methods basically act independent of one another. OnInspectorGUI is called once for the entire component selection, which could contain multiple objects if we were to support that. Let us use spline regression to smooth the Colombian data. We will use a cubic spline with three internal knots at ages 25, 50 and 75. This spline has a total of 7 parameters. In bspline you need to specify the minimum and maximum as knots. You should also specify p (3) to get cubic splines (the default is linear) and seven output variables. The fit function only allows scalar-valued splines. You want other types of splines such as ppform, B-form, tensor-product, rational, and stform thin-plate splines. You want to create splines without data. You want to specify breaks, optimize knot placement, and use specialized functions for spline manipulation such as differentiation and The latest Tweets from Spline (@splinetool). https://t.co/1ghLiUW4fp Join our community. A friendly 3d design tool for the web. Works on the Browser B-spline Curves: Important Properties. B-spline curve C(u) is a piecewise curve with each component a curve of degree p. As mentioned in previous page, C ( u) can be viewed as the union of curve segments defined on each knot span. In the figure below, where n = 10, m = 14 and p = 3, the first four knots anSPLINE – Interpolation and Approximation of Data
PDF Splines – Sharif
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PDF Chapter 05.05 Spline Method of Interpolation
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Smoothing: Splines – Princeton University
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B-spline Curves: Important Properties
