«PERIODIC FUNCTION»に関連する英語の本
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1
Principles of Fourier Analysis
Equation (5.2) also points out that the period of a periodic function is not unique.
Any positive integral multiple of any given period is another period for that
function. If it exists, the smallest period for a given periodic function is called the ...
2
Fourier and Laplace Transforms
EXERCISES The periodic function / with period 4 is given by f(t) = 1 + . / 1 for | f | <
1 and /(/) = 0 for 1 < \t\ < 2. Sketch the graph of the function and determine its
Fourier coefficients. Determine the Fourier coefficients of the periodic function
with ...
The reason that a periodic function cannot be monotonic on its entire domain is
that a periodic function with period p must satisfy the relationship ƒ(x+p) =ƒ(x).
From this, we see thatx <x+p,yetƒ(x) isnot less than ƒ(x +p), so a periodic function
...
4
Almost
Periodic Functions and Differential Equations
Then g[f(t)] is an almost periodic function with values in Xi. Proof. Since the set $f
is compact and the function g(x) is continuous on $f, g(x) is uniformly continuous
on Therefore, for all e>0 there exists a S = S(e)>0 such that for all x',x"e&f with ...
Boris Moiseevich Levitan, Vasiliĭ Vasilʹevich Zhikov, 1982
5
The Theory of the Moiré Phenomenon: Volume I:
Periodic Layers
B.1). For instance, f(x) gets its maximum value f(x) = 114 only at x = 0, and for no
other value of x. However, as it can be seen in the figure, f(x) looks “almost” as a
periodic function. And indeed, if we admit a certain small error ε, say ε = 0.3, then
...
6
Wave Propagation in
Periodic Structures: Electric Filters ...
By a doubly or triply periodic function we mean a function of two or three
independent variables, periodic in each of its variables. The mathematical theory
of such functions would be considerably simplified if we could split an arbitrary
function, ...
7
Complex Variables and the Laplace Transform for Engineers
In this chapter we consider functions which are zero for negative t and periodic
for positive t. A compact way to write such a function is to define a function /0(()
which is identical with the periodic function f(t), for 0 < t < T, and zero outside ...
8
Encyclopedic Dictionary of Mathematics
The formal series 2TM=, anexpi/lnx is called the Fourier series of /(x). Moreover,
the Parseval equality M[|/(x)|2] = Z«=I K|2 is valid for any fe B. For every periodic
function, these definitions coincide with the ordinary Fourier coefficients and the ...
9
Fundamentals of Structural Dynamics
Upon completion of this chapter you should be able to: • Determine the Fourier
series representation of a periodic function using the real form of the Fourier
series. • Determine the Fourier series representation of a periodic function using
the ...
Roy R. Craig, Andrew J. Kurdila, 2011
Suppose that ±1 are periods of a nonzero doubly periodic function /(z), and
suppose that there are no periods w of /(z) satisfying 0 < \u\ < 1. How many
periods of /(z) lie on the unit circle? Describe the possibilities, and sketch the set
of periods ...
Theodore W. Gamelin, 2001
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European climate at mercy of retreating sea ice
The technique is to take a clearly periodic function, cherry-pick a suitable section from the upward/downward section of the curve - depending ... «Gizmag, 6月 15»
Global Spatio-temporal Patterns of Influenza in the Post-pandemic Era
... in the population; The transmission rate β(t) was taken to be seasonal and modelled by a periodic function of time, with a period of one year. «Nature.com, 6月 15»
Squeezing more juice out of your game
If you animate the rotation of plants using a periodic function, you will make them feel like they are being pushed by wind. A little tip: to create a ... «Gamasutra, 4月 15»
What is Hooke's Law?
In addition, Hooke's law contains within it a wave-like periodic function. A spring released from a deformed position will return to its original ... «Phys.Org, 2月 15»
Netflix Burned by Express.js
It resided in a periodic function that was being executed 10 times per hour and whose main purpose was to refresh route handlers from an ... «InfoQ.com, 12月 14»
An easy approach to platformer pathfinding
Moving platforms can either rotate at a speed following a periodic function, follow a periodic path, or be toggle-able via switch. 1) The engine ... «GameDev.net, 11月 14»
'Hipster fashion' explained by math
... will keep making the same choices and therefore remain correlated as time goes by, while their trend evolves in time as a periodic function.”. «Manila Standard Today, 11月 14»
Hipsters All Look the Same Because of Math, Says Best Study Ever
... time goes by while their trend simultaneously evolves “as a periodic function.” My generally understanding of it is this: When hipsters snooze, ... «Bustle, 11月 14»
The Mathematical Reason All Hipsters Look the Same
... time goes by, while their trend evolves in time as a periodic function. This is true as long as the majority of the population is made of hipsters. «Mic, 11月 14»
Hours spent on ukulele + number of socks owned: the hipster …
It's apparently all to do with “statistical physics”, “generic phase transition” and trends “evolving in time as a periodic function”. This is clearly too ... «The Guardian, 11月 14»
