Examples of injective function in the following topics:
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- A one-to-one function, also called an injective function, never maps distinct elements of its domain to the same element of its codomain.
- A one-to-one function, also called an injective function, never maps distinct elements of its domain to the same element of its co-domain.
- Occasionally, an injective function from $X$ to $Y$ is denoted $f: X \mapsto Y$, using an arrow with a barbed tail.
- One way to check if the function is one-to-one is to graph the function and perform the horizontal line test.
- The graph of the function $f(x)=x^2$ fails the horizontal line test and is therefore NOT a one-to-one function.
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- An inverse function is a function that undoes another function: For a function $f(x)=y$ the inverse function, if it exists, is given as $g(y)= x$.
- Inverse function is a function that undoes another function: If an input $x$ into the function $f$ produces an output $y$, then putting $y$ into the inverse function $g$ produces the output $x$, and vice versa. i.e., $f(x)=y$, and $g(y)=x$.
- For this rule to be applicable, for a function whose domain is the set $X$ and whose range is the set $Y$, each element $y \in Y$ must correspond to no more than one $x \in X$; a function $f$ with this property is called one-to-one, or information-preserving, or an injection.
- Such a function is called non-injective or information-losing.
- If the domain consists of the non-negative numbers, then the function is injective and invertible.
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- An inverse function is a function that undoes another function.
- Stated otherwise, a function is invertible if and only if its inverse relation is a function on the range $Y$, in which case the inverse relation is the inverse function.
- Not all functions have an inverse.
- For this rule to be applicable, each element $y \in Y$ must correspond to no more than one $x \in X$; a function $f$ with this property is called one-to-one, information-preserving, or an injection.
- Let's take the function $y=x^2+2$.
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- Specifically, Type III and Type IV secretion systems are utilized by gram-negative pathogenic bacteria to transport proteins that function as pathogenic components.
- It is often compared to the bacterial flagellar basal body which functions as a motor unit and extracellular appendage that is comprised of numerous proteins.
- The mechanism by which AvrA is injected involves exact and proper assembly of proteins which promote invasion of the host cell.
- Peptidoglycan is not the only secretory molecule transferred to the stomach epithelial cells but additional proteins, such as CagA, which function in disruption of host cell cellular activities can be transferred as well .
- The type III secretion system is characterized by the ability to inject secretory molecules into the host eukaryotic cell.
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- The second ingredient is to calculate the distribution of electron energies as a function of the time since the electrons were accelerated (or injected).
- If the source were only active instantaneously or for a short time long ago $\Delta t \ll t'$, this would be sufficient, but if we are interested in a source that has been active continually from some time ago we must intergrate this distribution over the injection times in the past.
- To find the distribution of photon energies we have to convolve the electron distribution with the function $F(x)$$\displaystyle \omega > \omega_\mathrm{max}$.
- On the other hand below this frequency, the radiation results from the low-frequency limit of the function $F(x)$, i.e.
- We can combine the various results from this section to derive a schematic of the emission spectrum from a synchrotron cooling population of electrons with constant particle injection.
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- Intramuscular (or IM) injection is the injection of a substance directly into a muscle.
- Intramuscular (or IM) injection is the injection of a substance directly into a muscle.
- Also, when wanting to inject larger amounts of drugs, it is best to inject into the muscular region instead of injecting subcutaneously.
- Platelet-rich plasma injections can be administered intramuscularly.
- Ketamine) are injected intramuscularly for recreational purposes.
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- These are the early control functions of the virus.
- They were discovered by making a filtered extract of a tumor from a wild rabbit and injecting the filtrate into another rabbit in which a benign papilloma grew.
- However, when the filtrate was injected into a domestic rabbit, the result was a carcinoma, a malignant growth.
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- Loss of function of the rotator cuff muscles, due to injury or loss of strength, may cause the humerus to move superiorly, resulting in impingement.
- Therapeutic injections of corticosteroid and local anaesthetic may be used for persistent impingement syndrome.
- The total number of injections is generally limited to three due to possible side effects from the corticosteroid.
- Corticosteroids actually cause musculoskeletal disorders, which explains the low success rate of cortisone injections.
- For tendinosis, prolotherapy injections or cross-fiber (transverse) friction massage can be very effective.
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- Hormonal, renal, and behavioral control of body fluids function to some extent in utero.
- In utero behavioral changes, such as fetal swallowing, have been suggested to be functional early in development in response to dipsogens.
- Recent research has demonstrated that intracerebroventricular (i.c.v.) injection of carbachol elicited an increase of blood pressure in near-term ovine fetuses.
- Further research results indicate that the central cholinergic mechanism is established and functional in the regulation of the hypothalamic neuropeptides during the final trimester of pregnancy.
- This provides evidence for a functional link between the development of central cholinergic mechanisms and hypothalamic neuropeptide systems in the fetus.
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- Heparin can be used in vivo (by injection), and also in vitro to prevent blood or plasma clotting in or on medical devices.
- Batroxobin is a toxin from snake venom that clots platelet-rich plasma without affecting platelets functions (lyses fibrinogen).