Users might only have certain parts of those abilities.Probability Manipulation: As the probability for something to happen is usually expressed as mathematical value, a user might be capable of influencing probability by changing that value.Manipulation of form: The user might be capable of changing the form, volume, area and similar of things, as those are also mathematical properties of objects.Spatial Manipulation: Since concepts like distance and properties of space are in abstract form part of the mathematical studies changing the mathematics describing those could also have effect on the real properties of space.For example by creating a mathematical contradiction and through the principle of " ex falso sequitur quodlibet" the validity and usefulness of logic could be undermined. Logic Manipulation: Since mathematics builds upon, includes and extends logic, changing mathematics can have an effect on the underlying logical concepts.One possible application would for example changing 5 dimensional things to 3 dimensional and vice versa. Dimensional Manipulation: Since dimensions are a mathematical concept, a user of this ability might be capable of changing the attributes of dimensions and the concept of them in itself.Another application of this is to forcefully apply mathematical operations to reality, for example building the sum of two things making them fuse together. For example by changing the laws so that 1+1=3, it could be made so that if one apple is taken and another one put to it, the resulting amount of apples is three apples. It assumes that you have read Introduction to Manipulate and thus have a good idea what. Operation Manipulation: By changing the way mathematical operations work real phenomena described through them may have different results. This tutorial covers advanced features of the Manipulate command.
By manipulating the subject itself the results of measuring the quantity of something can be changed, effectively making it so that there is more of something or less. Quantity Manipulation: The study of how much there is of something usually is viewed as subject of mathematics.Through the change of what those equations mean or change of the equations themselves the described phenomena would have to change accordingly, assuming that the description of them stays true even if changed or in other words if the equations aren't just changed on paper, but in reality. Physics Manipulation: Most laws of physics are described by mathematical equations.Applied manipulation of mathematics: The ability to manipulate real phenomenons by changing the mathematical rules through which they are described.This means that things like the way reasoning is performed, the mathematical notation, inference rules and which assumptions and models are used when doing math can be changed, but the phenomenons of reality described through the math are unaffected. Abstract manipulation of mathematics: The ability to manipulate mathematics in its abstract form.Raw external controller specification names for devices active in a particular Wolfram System session can typically be found using ControllerInformation.Typical external controller specifications include:.Controllers on an external device such as a gamepad can include joysticks, buttons, etc.With the default setting ControllerLinking-> Automatic, controls in a Manipulate respond to specified controllers on an external device whenever the Manipulate is part of the current selection.With TrackedSymbols-> All, the output is updated whenever any symbol encountered in its evaluation is changed.
MATHEMATICA MANIPULATE UPDATE
With the setting ContinuousAction-> None, an explicit Update button is displayed, and expr is not reevaluated until this is clicked., expr ] specifying current values of all variables. The following forms by default yield particular forms of controls:.
If it is None, only the controls are displayed.
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