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For example, when there are two electron pairs surrounding the central atom, their mutual repulsion is minimal when they lie at opposite poles of the sphere. Therefore, the central atom is predicted to adopt a linear geometry. If there are 3 electron pairs surrounding the central atom, their repulsion is minimized by placing them at the ...
Every object perseveres in its state of rest, or of uniform motion in a right line, except insofar as it is compelled to change that state by forces impressed thereon. [note 3] Newton's first law expresses the principle of inertia: the natural behavior of a body is to move in a straight line at constant speed. A body's motion preserves the ...
The amount of water needed varies by person, weight, diet, activity level, clothing, and the ambient heat and humidity. Water does not actually need to be drunk in pure form, and can be derived from liquids such as juices, tea, milk, soups, etc., and from foods including fruits and vegetables. [348] [349]
High water levels of the Neretva River [7] Petexbatún River: Pasión River: Central America: Winter rain flooding of the Pasión River [8] Qiantang River: Hangzhou Bay: Asia: Tidal bore in Hangzhou Bay [9] Tonlé Sap River: Mekong River: Asia: Monsoon flooding of the Mekong River [10]
The most famous example is the Kosterlitz–Thouless transition in the two-dimensional XY model. Many quantum phase transitions, e.g., in two-dimensional electron gases, belong to this class. The liquid–glass transition is observed in many polymers and other liquids that can be supercooled far below the melting point of the crystalline phase ...
In category theory, a branch of mathematics, duality is a correspondence between the properties of a category C and the dual properties of the opposite category C op.Given a statement regarding the category C, by interchanging the source and target of each morphism as well as interchanging the order of composing two morphisms, a corresponding dual statement is obtained regarding the opposite ...
Examples of Newtonian liquids include water, glycerin, motor oil, honey, or mercury. A non-Newtonian liquid is one where the viscosity is not independent of these factors and either thickens (increases in viscosity) or thins (decreases in viscosity) under shear. Examples of non-Newtonian liquids include ketchup, custard, or starch solutions. [37]
Proof by contradiction is similar to refutation by contradiction, [4] [5] also known as proof of negation, which states that ¬P is proved as follows: The proposition to be proved is ¬P. Assume P. Derive falsehood. Conclude ¬P. In contrast, proof by contradiction proceeds as follows: The proposition to be proved is P. Assume ¬P. Derive ...
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