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The best part was the gratification I received when my creation was complete. Though individually boring, collectively these blocks produced an intricate masterpiece that brought art and math, big-picture and detail, simplicity and complexity closer together". [4]
Sierpiński triangle Generated using a random algorithm Sierpiński triangle in logic: The first 16 conjunctions of lexicographically ordered arguments. The columns interpreted as binary numbers give 1, 3, 5, 15, 17, 51...
This allows the two congruent purple-outline triangles and to be constructed, each with hypotenuse and angle at their base. The sum of the heights of the red and blue triangles is sin θ + sin φ {\displaystyle \sin \theta +\sin \varphi } , and this is equal to twice the height of one purple triangle, i.e. 2 sin p cos q ...
If X is a kind of Y, then X is a hyponym of Y and Y is a hypernym of X. [7] Hyponymy is a transitive relation: if X is a hyponym of Y, and Y is a hyponym of Z, then X is a hyponym of Z. [8] For example, violet is a hyponym of purple and purple is a hyponym of color; therefore violet is a hyponym of color.
In graph-theoretic terms, the theorem states that for loopless planar graph, its chromatic number is ().. The intuitive statement of the four color theorem – "given any separation of a plane into contiguous regions, the regions can be colored using at most four colors so that no two adjacent regions have the same color" – needs to be interpreted appropriately to be correct.
In mathematics, the Laurent series of a complex function is a representation of that function as a power series which includes terms of negative degree. It may be used to express complex functions in cases where a Taylor series expansion cannot be applied.
All laws of physics and math assume this right-handedness, which ensures consistency. For 3D diagrams, the names "abscissa" and "ordinate" are rarely used for x and y, respectively. When they are, the z-coordinate is sometimes called the applicate.
Exercise books may act as a primary record of students' learning efforts. For younger pupils, books are often collected at the end of each lesson for review, scoring, or grading. Loose worksheets may be pasted into the book so that they are bound with other work. In some schools, exercise books may be colour-coded depending on the subject.
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