C α , ν , ρ ⁢ A ⁢ 1 ⁢ 1 ⁢ B 1 ν 1 ν + A ⁢ 2 ⁢ 2 ⁢ B 2 ν 2 ν + A ⁢ 3 ⁢ 3 ⁢ B 3 ν 3 ν + A ⁢ 4 ⁢ 4 ⁢ B 4 ν 4 ν Systems of spacetime coordinates are: ⁢ X = x1 , x2 , x3 , x4 , Y = y1 , y2 , y3 , y4 The functionality of tensor functions is also considered a parameter when substituting tensors. For example, consider the following substitution equation >

Maple Grain - Etsy UK Maple Grain - Etsy UK

The conversion of 50 grams to milliliters depends upon the ingredient you're using. For sugar, 50g converts to around 59ml. For flour, 50g converts to around 95ml. Knight, Oliver (1956–57), "History of the Cherokees, 1830–1846", Chronicles of Oklahoma, Oklahoma City: Oklahoma Historical Society, p.164, OCLC 647927893A maple leaf is on the coat of arms of Canada, and is on the Canadian flag. The maple is a common symbol of strength and endurance and has been chosen as the national tree of Canada. Maple leaves are traditionally an important part of Canadian Forces military regalia, for example, the military rank insignia for generals use maple leaf symbols. A reduced Groebner basis is minimal, that is, no polynomial can be removed, and has the additional property that no monomial of any polynomial in the basis is divisible by any of the leading monomials (other than possibly itself). If all polynomials in a reduced Groebner basis have leading coefficient 1 , then this reduced basis is unique. You can also visualize and change all the Physics settings at once using the Setup applet , launched entering Setup ⁡ . The following image shows the left half of that applet. > In Maple tensor indices are letters , lowercase or uppercase, Latin or Greek , just like when computing with paper and pencil. The indices are entered using indexation, as in A mu , and are displayed as subscripts as in A μ . To change or set the kind of letter ( greek, lowercaselatin, etc.) used to represent a kind of index ( spacetime, space, etc.) see Setup .

Maple Help - Maplesoft Basis (overview) - Maple Help - Maplesoft

B μ , ν , γ μ , σ μ , R α , β , μ , ν , ∂ μ , g μ , ν , ε α , β , μ , ν On the right-hand side of the definition you can also use a Vector construction, as in p__x , p__y , p__z , E c , or a Matrix . See Define for all the possible ways you can use to indicate the components. Many maples have bright autumn foliage, and many countries have leaf-watching traditions. The sugar maple ( Acer saccharum) is the primary contributor to fall " foliage season" in North America, particularly in Central Ontario, Quebec, and northern New England, New York, Wisconsin, and Michigan. Color/Appearance: Unlike most other hardwoods, the sapwood of hard maple lumber is most commonly used rather than its heartwood. Sapwood color ranges from nearly white, to an off-white cream color, sometimes with a reddish or golden hue. The heartwood tends to be a darker reddish brown. Birdseye maple is a figure found most commonly in hard maple, though it’s also found less frequently in other species. Hard maple can also be seen with curly or quilted grain patterns. The output of Define is always a set with all the tensors defined so far (it includes the predefined tensors, and all the coordinates systems as SpaceTimeVectors ). To avoid the verbosity of Define 's output use the quiet option.Use any of the special indexing keywords valid for the pre-defined tensors of Physics. They are definition , nonzero , and for tensors with 2 indices also trace and determinant Tensors defined by passing a tensorial equation have all the features mentioned in the previous section, which enable you to Simplify , SumOverRepeatedIndices , TensorArray , and TransformCoordinates , as well as several additional ones. You can now transform coordinates using TransformCoordinates , for example from X to Z using u = z__1 + z__2 , v = z__1 − z__2 , as follows: > To convert between other cooking units including grams, pounds, cups, tablespoons, teaspoons and more, give the cooking converter a try. Calculator created by Alastair Hazell. References subs Riemann = R , Weyl = W , convert Weyl definition , Riemann , only = Ricci , evaluatetensor = false

Maple Help Overview of General Relativity Computations - Maple Help

Due to the use of alias , the label of a coordinate system - say X - actually represents the sequence of the four coordinates, and so you can use this label to refer to all the coordinates at once, for example, when specifying the functionality of functions > F x , y , z , t + diff F x , y , z , t , x , y In cases where the choice, made by the system, of which index is contravariant is not the one you prefer, you can override the system's choice by indicating your preference using ~ to prefix the contravariant index. For example > The simplest way to define a spacetime or any other type of tensor is passing the tensor itself as a name indexed by one or several indices of the corresponding type. Define R α , β , μ , ν , symmetric = α , β , μ , ν , antisymmetric = α , β , μ , νWhen introducing replacements to resolve the collision of repeated indices in products, special care is taken such that the introduced indices: Systems of spacetime coordinates are: ⁢ X = r , θ , φ , t , Y = y1 , y2 , y3 , y4